+
.
.
.
.
@Crossword2022
English Best DI Questions for Competitive Exam by Arun sir
4000+
Questions
Series
Complete Book on Speed Maths
Maths
Simplification
| Approximation
Number Series | Quadratic Equations
Useful for:
Banking & Insurance Exam
i.e., SBI PO/CLERK, IBPS PO/CLERK, RRB PO/CLERK,
LIC Assistant & LIC AAO, LIC ADO, NIACL, RBI GRADE B & Assistant, NABARD,
SSC CGL , CHSL , MTS, RAILWAY and Other Competitive Exams.
Author
Arun Singh Rawat
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
1
@Crossword2022
DISCLAIMER
Best DI Questions for Competitive Exam by Arun sir
Every effort has been made to avoid errors or omissions in the publication. In spite
of this some errors might have crept in. The publisher shall not be responsible for the
same. Any mistake, error or discrepancy noted may be brought to our notice which
shall be taken care of in the next edition. It is notified that neither the publisher nor
the authors or sellers will be responsible for any damage or loss of action of anyone,
of any kind, in any manner, therefrom.
All rights reserved; no part of this publication may be reproduced in any form without
the prior permission of the publisher.
First Edition 2021
Published by:
K.K PLAZA Ganga Enclave Near Malviya Nagar Chowk,
Roorkee Uttarakhand Pin- 247667
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
2
@Crossword2022
“
Best DI Questions for Competitive Exam by Arun sir
About Arun Singh Rawat
Arun Singh Rawat is one amongst the leading educators of Quantitative Aptitude for
Bank Exams at Unacademy with more than 2.3 Lakh followers. He is not only a great
teacher but is also a great motivator. It is his simple teaching methodology, which have
garnered him the support of more than 6 lakh students across the social media platforms.
Arun sir has started his journey of online classes on YouTube in 2016 with Mahendra's
Educational Private Limited, where he was awarded with Best Quant Educator in India
in 2017.
He is also the recipient of Golden Award for Most Engaging Educator among students by
Unacademy. He has also received Best Educator Award in 2020 by Unacademy and he
has been multiple times recepient of Month of the Educator and Super Educator Award.
He is also an ex- educator of top online platforms like Mahendras, Adda247 & WiFiStudy.
Apart from these, he has also graced the IPL Virtual Guest Box twice in 2020 & 2021.
He is also best selling Author of Two Competitive Books Brahamastra Book 4000
Questions Practice Book & DIPedia DI Book ( Basic to Advance ).
During his journey, he has helped thousands of students in getting selection in various
exams through his online courses, both paid as well as free. His videos were trending on
YouTube on more than two hundred occasions, which in itself is a testament to his
teaching capabilities.
Search ' Arun Singh Rawat’ on Unacademy learning app
to attend Free Live Classes Daily.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
3
@Crossword2022
Best DI Questions for Competitive Exam by Arun sir
Preface
Dear Students,
Brahmastra – 4000 Question Series has been nurtured and carefully crafted by Arun Sir to help you be
on top of the speed-accuracy index. This book will boost your speed, accuracy and confidence as these
are the things which you will need most during your examinations.
As you are aware, Simplification, Approximation, Quadratic Equation and Number Series are the
important constituents of the current competitive examinations be it Banks, Railways, SSC etc. This book
contains more than 4000 easy to difficult level questions including theory as well as detailed solutions.
This Brahmastra comes with four Astra viz. Simplification - 1100+ questions, Approximation – 600+
questions, Missing and Wrong Number Series – 1200+ questions and Quadratic Equation – 1100+
questions. This Book will not only help you in understanding the current pattern of the examination but
will also provide you with a range of questions to practice. The detailed solution at the end will remove
all the brakes from your preparation and will help you in achieving the speed which you always desire.
The speed along with the accuracy will become your Brahmastra in the examination.
This book is a result of the hard labour of Arun Sir and his team. Each and every question have been
checked again and again so that only the best questions can be included. All this along with Arun Sir’s
more than 8 years of experience provides uniqueness and Halwa touch to this book. We strongly believe
that this book will help you in sharpening your calculation skills which in turn will get you selection.
Arun Sir along with his dedicated team extends heartfelt wishes to all the aspirants who have put their
faith in us.
Please welcome Brahmastra – 4000 question series with your open hand and it will be your panacea.
With a promise to always provide you the best.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
4
@Crossword2022
Best DI Questions for Competitive Exam by Arun sir
Dedication
to
“
I dedicate this book to my mother Mrs. Sheela Rawat & my father
Mr. Amir Singh Rawat for their continued blessing. I would also
like to dedicate this book to my daughter Idika (Sia) & my wife
Shrishti for their unwavering support, love & trust in me.
I would like to take this opportunity to thank our team
(Neetu Mallik, Mohmad Aklakh Qureshi, Amit Verma , Anoop
Singh Rawat, Priyanka Agarwal, Charu Agarwal, Saurabh Pal,
Abhishek Kumar Mishra, Sandeep Kumar Gupta, Pawan Kumar
Sharma, Sachin Baranwal) who worked tirelessly towards the
design and quality of the book.
I would also like to take this opportunity to convey special thanks
to my family members, my friends, Team AVP, my colleagues and
my content maker team. A big thanks to all my learners and
students who have always supported me through thick and thin. It
is only due to your support and love that I am here.
“
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
5
@Crossword2022
CONTENT
Best DI Questions for Competitive Exam by Arun sir
INDEX
Introduction of Brahmastra
Number System ………………………….
7-11
Fractional value tables…………………
12
Simplification
1. Basic Concept ……………………………..
13
2. Practice Question …………………….
14-62
3. Detailed Solutions …………………………………
63-130
Approximation
1. Basic Concept ……………………………..
131
2. Practice Question …………………….
132-156
3. Detailed Solutions …………………………………
157-195
Number Series
1. Basic Concept ……………………………..
196-199
2. Practice Question …………………….
200-249
3. Detailed Solutions…………………………………
250-339
Quadratic Equations
1. Basic Concept ……………………………..
340-345
2. Practice Question …………………….
346-391
3. Detailed Solutions …………………………………
392-536
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
6
@Crossword2022
SystemExam by Arun sir
Best DI QuestionsNumber
for Competitive
A system in which we study different types of numbers, their relationship and rules govern in them is
called as number system.
In the Hindu-Arabic system, we use the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. These symbols are
called digits. Out of these ten digits, 0 is called an insignificant digit whereas the others are
called significant digits
1.
Natural Numbers
Natural numbers are counting numbers. They are denoted by N.
For Example
N = {1,2,3,...}.
* All natural numbers are positive.
* Zero is not a natural number.
Therefore, 1 is the smallest natural number.
2.
Whole Numbers
All natural numbers and zero form the set of whole numbers. Whole numbers are denoted by W.
For Example
W = {0,1,2,3,...}
* Zero is the smallest whole number.
* Whole numbers are also called as non-negative integers.
3.
Integers
Whole numbers and negative numbers form the set of integers. They are denoted by I.
For Example I = {...,-4,-3,-2,-1,0,1,2,3,4,...}
Integers are of two types.
(i)
Positive Integers - Natural numbers are called as positive integers. They are denoted by I+.
For Example I+ = {1,2,3,4,...}
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
7
@Crossword2022
(ii) Negative Integers - Negative of natural numbers are called as negative integers. They are denoted by I
Best DI Questions for Competitive Exam by Arun sir
For Example I- = {-1,-2,-3,-4,...}
Note: '0' is neither +ve nor -ve integer.
4. Even Numbers
A counting number which is divisible by 2, is called an even number.
For Example 2, 4, 6, 8, 10, 12,...etc
* The unit's place of every even number will be 0, 2, 4, 6 or 8.
5.
Odd Numbers
A counting number, which is not divisible by 2, is known as an odd number.
For Example 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,...etc.
6.
Prime Numbers
A counting numbers is called a prime number when it is exactly divisible by, 1 and itself.
For Example 2, 3, 5, 7, 11, 13, ...etc.
2 is the only even number which is prime.
A prime number is always greater than 1.
1 is not a prime number. Therefore, the lowest odd prime number is 3.
* Every prime number greater than 3 can be represented by 6n + 1, where n is integer.
1 is neither prime nor composite, 2 is the only even number, that is prime.
There are a total of 25 prime numbers up to 100
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
*
*
*
7.
*
*
8.
Composite Numbers
Composite numbers are non-prime natural numbers. They must have at least one factor apart from 1 and
itself.
For Example, 4, 6, 8, 9, etc.
Composite numbers can be both odd and even.
1 is neither a prime number nor composite number.
*
Co-primes
Two natural numbers are said to be co-primes, if their HCF is 1.
For Example (7, 9),(15, 16)
Co-prime numbers may or may not be prime
9.
Rational Numbers
A number that can be expressed as p/q is called a rational number, where p and q are integers and q
For Example , 3/5, 7/9, 8/9, 13/15 etc.
0.
10. Irrational Numbers
The numbers that cannot be expressed in the form of p/q are called irrational numbers, where p and q are
integers and q
0.
For Example,
2,
3,
7, etc.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
8
@Crossword2022
*
*
is an irrational number as 22/7 is not the actual value of but it is its nearest value.
Best DI Questions for Competitive Exam by Arun sir
Non-periodic infinite decimal fractions are called as irrational number
11. Perfect Square Number
The numbers which is square of any number.
e.g., -1,4,9,16,25
12. Perfect Numbers:
The number, which is equal to the sum of Prime numbers, eg-6 = (3,2,1)
( 6 = 3 + 2 + 1)
Formulas of Sum of Number Series
1. 1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2
2. (12 + 22 + 32 + ..... + n2) = n ( n + 1 ) (2n + 1) / 6
3. (13 + 23 + 33 + ..... + n3) = (n(n + 1)/ 2)2
4. Sum of first n odd numbers = n2
5. Sum of first n even numbers = n (n + 1)
Mathematical Formulas
1. (a + b)(a - b) = (a2 - b2)
2. (a + b)2 = (a2 + b2 + 2ab)
3. (a - b)2 = (a2 + b2 - 2ab)
4. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
5. (a3 + b3) = (a + b)(a2 - ab + b2)
6. (a3 - b3) = (a - b)(a2 + ab + b2)
7. (a3 + b3 + c3 - 3abc) =
(a + b + c)(a2 + b2 + c2 - ab - bc – ac)
If (a + b + c) = 0 then a3 + b3 + c3 = 3abc
Divisibility Rules
 A number is divisible by 2, if its unit's digit is any of 0, 2, 4, 6, 8.
 A number is divisible by 3, if the sum of its digits is divisible by 3.
 A number is divisible by 4, if the number formed by the last two digits is divisible by 4.
 A number is divisible by 5, if its unit's digit is either 0 or 5.
 A number is divisible by 6, if it is divisible by both 2 and 3.
 A number is divisible by 8, if the number formed by the last three digits of the given number is divisible
by 8.
 A number is divisible by 9, if the sum of its digits is divisible by 9.
 A number is divisible by 10, if it ends with 0.
 A number is divisible by 11, if the difference of the sum of its digits at odd places and the sum of its
digits at even places, is either 0 or a number divisible by 11.
 A number is divisible by 12, if it is divisible by both 4 and 3.
Divisibility by 13:
Subtract the last two digits from four times the rest. The result must be divisible by 13
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
9
@Crossword2022
i.e = 923: 9 × 4 - 23 = 13.
Best DI Questions for Competitive Exam by Arun sir
Divisibility by 17:
Subtract the last two digits from two times the rest. e.g. 4,675: 46 × 2 - 75 = 17.
Divisibility by 19:
Add twice the last digit to the rest. e.g. 437: 43 + 7 × 2 = 57.
Divisibility by 23:
Add 7 times the last digit to the rest. E.g., 3128: 312 + 8 × 7 = 368. 36 + 8 × 7 = 92.
Divisibility by 29:
Add 9 times the last two digits to the rest.
5510: 55 + 10 × 9 = 145 = 5 × 29
Arithmetic Progression: - ( AP)
a, a+d, a+2d, a+3d,
where a = first term, d = difference
= (second term - first term)
= (third term-second term)
nth term = Tn = a + (n - 1) d
n
Sum of n term = Sn = [2a+(n-1)d]
2
Geometric Progression ( GP) :a, ar, ar2, ar3,
where a = first term,
second term
third term
r=
=
=...
First term
second term
nth term = Tn = a.rn-1
Sum of n term Sn =
a 1- r n 
1- r
 ifr <1 Sn =
a  rn -1
1- r 
r <1
 if r>1)
(if
a
 Whenr <1
1- r
HCF ( Highest Common Factor) & LCM ( Lowest Common Factor ) Formula
The formula which involves both HCF and LCM is:
Product of Two numbers =
(HCF of the two numbers) x (LCM of the two numbers)
i.e = a × 𝑏 = HCF × LCM
Sum of infinity terms = S¥ =
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
10
@Crossword2022
Best DI Questions for Competitive Exam by Arun sir
PERCENTAGE TO FRACTION TABLE
1
1
= 7 % = 7.14%
14
7
1=100%
1
= 50%
= 3313 % = 33.33%
2
= 6 % = 6.66 %
15
3
¼ = 25%
1
2
1
3
1
1/5 = 20%
1
2
= 16 % = 16.66%
6
3
1
2
= 14 % = 14.28%
7
7
1
1
= 12 % = 12.5%
8
2
1
1
= 11 % = 11.11%
9
9
1
17
15
% = 5.88 %
17
1
5
= 5 % = 5.55 %
18
9
1
19
=5
5
% = 5.26 %
19
1/20 = 5%
3/8 = 37.5%
=9
1
2/3=66.66%
% = 9.09%
11
1
= 8 % = 8.33%
12
3
=7
9
13
5
3
= 71 % = 71.42%
7
7
2
% = 7.69%
1
= 57 % = 57.14%
7
7
5
1
= 83 % = 83.33%
6
3
1
7
58.33%=58 %=
3
12
45.45%= 45
5
11
%=
5
11
1
5
31.25%=31 %=
4
16
18.18%=18
2
11
%=
2
11
4
4
44.44%= 44 %=
9
9
3
3
18.75%=18 %=
4
16
7/16=43.75%
9/16 = 56.25%
1
13
=5
7/8 = 87.5%
11
1
1
5/8 = 62.5%
= 10%
10
1
1
= 6 % = 6.25 %
16
4
4
4
= 28 % = 28.57%
7
7
2
4
26.66%=26 %=
3
15
3.125% =1/32
77.777...% = 7/9
40% = 2/5
60% = 3/5
80% = 4/5
125% = 5/4
175% = 7/4
225% = 9/4
120% = 6/5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
11
2
@Crossword2022
Best DI Questions for Competitive Exam by Arun sir
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
2
12
@Crossword2022
Simplification
Complete Book on Speed Maths 4000 Questions
BASIC CONCEPT
Simplification generally means finding an answer for the complex calculation that may involve numbers on division,
multiplication, square roots, cube roots, plus and minus.
Simplification questions are asked in the Bank and Insurance exam to check the ability of an aspirant to deal with
numbers which can be in one of the following two types.
Rule-Always keep in mind the “BODMAS” rule. These operations have priorities in the same order as mentioned.
Explanation: Whenever we have more than one operation in the given calculation, we have to do the operations
according to the priority specified by ‘BODMAS’
B-Bracket
O-Of (means multiplication)
D-Division
M-Multiplication
A-Addition
S-Subtraction
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
13
@Crossword2022
Q1.
Q2.
Q3.
Q4.
Q5.
Q6.
Q7.
Q8.
PRACTICE QUESTION
x% of 800+348=980
a) 81
b) 76
c) 83
d) 79
e) 73
1
x
of 343 − 25% of 100 = of 24
7
Q10.
Q11.
Q15.
a) 24
b) 8
c) 1
d) 16
e) 32
9870 + 8790 + 6552 − x = 9552
a) 15660
b) 15860
c) 15460
d) 15640
e) 15606
Q16.
80% of x − 50% of 400 = 600
a) 960
b) 880
d) 1000
e) 500
(x 2 + 4)2 = 8x 2 + 97
9
7
b) 9
e) 18
Q17.
1
x
1
2
7
2
of
5
27
of
32
45
4
7
12
Q18.
b) 23
c) 14
c) 800
Q20.
e) 29
3
2
6
4
3
+ 6 – 8 =? +1
b) 2
b) 60
a) 42
b) 40
d) 38
e) 48
19.65×14
3
Q23.
b) 7
28.5 × 34 + 2320 ÷ 8 = (36)2 − ?
a) 51
b) 47
c) 43
d) 34
e) 37
Q24.
Q13.
47 × 27 + 15600 ÷ 8 + 181 = ?
a) 3320
b) 3420
c) 3370
d) 3400
e) 3460
Q25.
c) 5
d) 9
e) 11
37% of ? + (11)² – 28.5 × 6 + 12 = (31)²
b) 2600
c) 2750
d) 2700
e) 2760
4
(26% of 3800 + 25% of 620) ÷ 33 +
=?
11
d) 55
(27)2.6 ×
a) 15
Q12.
c) 45
+ 108.87 – 24.57 – ? = (13)2
a) 35
a) 196
b) 169
c) 144
d) 121
e) 81
52500 ÷ 7 + 64680 ÷ 6 = 19500 − ?
a) 1220
b) 1260
c) 1280
d) 1340
e) 1390
c) 50
d) 45
e) 55
(87.98 + 56.64 + 123.58) – (47.6 + 28.6) – ?
= (12)²
a) 2650
Q22.
c) 3
d) 4
e) 5
56% of 4750 + 475% of 12 – (?)² = 217
a) 3
a) 7
b) 5
c) 57
d) 15
e) 6
√961 + √1369 − √1444 = √361 + √?
c) 25
5
a) 40
Q19.
c) 27
of 2187 = ? % of 400
a) 1
Q21.
7
8
d) 27
c) 1
4
− 3 + 18 = + 15
3
b) 16
e) 32
a) 21
44 × 50% of 70 − 289 ÷ 17 × 2 = x
a) 1504
b) 1508
c) 1506
d) 1510
e) 1502
18 + 512 − 128 + x 2 = 802
a) 22
b) 20
c) 16
d) 24
e) 18
√92 + 112 − 6 = x × 56 ÷ 8
a) 8
b) 74
d) 4
e) 2
112.5 × 5 + 4560 ÷ 6 − 175 × 7 = ?
a) 103.5
b) 91.5
c) 97.5
d) 110.5
e) 115.5
3
3
( √4096 + √5832) ÷ √289 = (? )0.2
a) 64
d) 2
8
a) 3
d) 27
Q9.
Q14.
b) 45
1
c) 25
e) 65
(32)0.8 = ? % of 1036
0.7 +
(81)
b) 35
c) 25
d) 45
e) 40
27.8 × 6 + 38.9 × 7 – ? = (13)² + √400
a) 240.1
b) 250.1
c) 230.1
d) 235.1
e) 260.1
4
9
× 486 + 35% of 120 +
a) 412
d) 336
b) 260
e) 284
3
8
× 208 = ?
c) 398
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
14
@Crossword2022
Q26.
Q27.
Q28.
Q29.
Q30.
(7800 ÷ 312) + 65% of 1120 = 9 × ? + 24
a) 81
b) 39
c) 27
d) 36
e) 24
? × 15 + (3960 ÷ 12) = 262 + (350 ÷ 25)
a) 56
b) 14
c) 24
d) 36
e) 40
45% of 1200 – 32% of 1500 = 15% of ?
a) 600
b) 250
c) 500
d) 480
e) 400
(322 – 222) ÷ 32= ?
a) 50
b) 60
c) 25
d) 30
e) 15
1
1
1
1
1
5 + 7 + 4 = 3 +? + 5
4
a) 8
d) 8
Q31.
5
2
of
3
1
2
b) 8
2
3
4
7
8
6
1
4
of
1
28
Q38.
Q39.
Q40.
Q45.
of 1600 = 260 + ? −499
Q34.
Q37.
Q44.
e) 9
a) 330
b) 358
d) 352
e) 362
28
9
11
× × ×? = (10)2
Q36.
Q43.
c) 8
Q33.
Q35.
Q42.
6
a) 264
b) 480
c) 364
d) 342
e) 420
√52 × 41 × 5 − 172 − 75 = ?
a) 69
b) 71
c) 79
d) 63
e) 89
187
× (42)2 − 220% of 380 = 25% of ?
Q32.
Q41.
Q46.
Q47.
Q48.
357
252
22
c) 342
Q49.
3
a) 400
b) 500
c) 600
d) 650
e) 550
55% of 1400 + ?2 + 282 = (12)3
a) 28
b) 24
c) 26
d) 36
e) 16
42%of 500 + 22.5% of ? = 6 × √5041
a) 840
b) 960
c) 800
d) 600
e) 400
? + (13)3 = (59)2 − 681
a) 603
b) 593
c) 613
d) 623
e) 583
Q50.
Q51.
Q52.
Q53.
7.5% of 7200
+ 450 = 15% of 3200
?
a) 15
b) 24
c) 20
d) 18
e) 12
3
1
3
? + 15 − 3 × 3 = 5]
4
3
4
a) 1.5
b) 2.25
c) 1.75
d) 2
e) 2.75
45% of 400 + ?2 = (16)2 + 120
Q54.
Q55.
a) 12
b) 14
c) 16
d) 18
e) 8
12% of ? + 12.5% of 960 = 16 × 12
a) 840
b) 960
c) 800
d) 600
e) 400
15 ×? + 20%of 450 = 360
a) 12
b) 20
c) 24
d) 16
e) 18
648
+ 199.5 = 25%of 960
?
a) 16
b) 8
c) 32
d) 18
e) 12
1
5
? + 13 + 6 = 24
6
6
a) 1
b) 8
c) 4
d) 6
e) 2
48% of 525 + ? % of 250 = 499
a) 88.8
b) 76.6
c) 82.6
d) 98.8
e) 92.8
24% of 35% of 150% of 2500 = ?
a) 325
b) 305
c) 315
d) 335
e) None of these
(0.6)3 × 600 ÷ 6000 of (0.6)2 = ?
a) 6/20
b) 3/50
c) 2/50
d) 1
e) None of these
√256 × 49 + (19)2 + 11 = (? )2
a) 484
b) 22
c) 24
d) 42
e) 26
252 + 520 ÷ 20 + 420 = 121 + ?
a) 587
b) 577
c) 527
d) 477
e) 627
35% of 5000 – 322 + 3 = ?
a) 825
b) 569
c) 729
d) 689
e) None of these
20% of 5000 – 25% of 3000 = ? × 52
a) 10
b) 15
c) 8
d) 16
e) None of these
16 × 15 – 240 – 32 × 10 + 420 = ?2
a) 10
b) 15
c) 5
d) 12
e) None of these
65% of 200 – 26% of 500 = ?
a) 5
b) 8
c) 4
d) 10
e) None of these
52 × 18 – √2304= (30)? - 5% of 240
a) 3
b) 2
c) 4
d) 0.5
e) 1
1669 – 5287 + 7982 – 2219 = ?
a) 2344
b) 2282
c) 2370
d) 2145
e) 2205
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
15
@Crossword2022
Q56.
4860
+ 5145 ÷ (7)3 − 47 × 3 = ?2
62
a) 9
d) 6
Q57.
b) 7
e) 2
2×(
51×16
17
)−
a) 200
d) 120
Q58.
Q59.
Q60.
Q61.
Q62.
Q63.
Q66.
Q67.
Q68.
+ 59 × 2 = ?
b) 170
e) 150
a) 17
b) 19
d) 16
e) 15
3
2
3
4 × 32 ÷ 8 = (2)?
a) 9
b) 5
d) 6
e) 8
4 of 143 ÷ 26 × 12 – 200 = ?
a) 58
b) 64
d) 80
e) 74
1
Q70.
c) 140
Q71.
Q72.
Q73.
c) 18
Q74.
c) 7
Q75.
c) 72
Q76.
1
3
1
b) 4
4
3
e) 5
4
7
12
1
c) 4
5
Q77.
6
Q78.
3
√?× √1225 + 240 = 520
a) 343
b) 512
d) 1728
e) 216
311 +
(? )2
c) 729
Q79.
b) 27
d) 23
e) 28
c) 25
b) 1026
d) 1036
e) 1032
b) 12.15
3
19
7
4
28
9
14
3
7
e) 11
8
c) 11
14
11
2
11
5
34
3 ×1
28
c) 1.689
×? = 108
b) 24
e) 30
c) 12
1
3
Q81.
48%of 4800 +
143
√169
= ?
b) 2315
e) 2345
c) 2375
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
16
17
14
1.11 + 2.111 + 3.1 + ? = 8
a) 1.599
b) 1.669
d) 1.779
e) 1.679
a) 2235
d) 2300
c) 13.55
b) 11
72.9 ÷ 81 × √100 =?2 ÷ √324 + √64
a) 8100
b) 6400
c) 7200
d) 1290
e) 3600
c) 1034
42.55 – 21.75 – 24.11+15.55 =?
a) 14.65
4
8 + 9 − ?= 6
Q80.
444×1.5 + 480 × 0.75 =?
a) 1028
c) 45
d) 32
e) 26
?2 + 224 − 96 = 85%of 280 + 34
a) 18
b) 12
c) 16
d) 14
e) 8
√1521 + (21)2 − 18 × 5 = 5 ×?
a) 80
b) 78
c) 64
d) 70
e) 96
48% of 800 + 125% of 1200 – 120 = (? )2
a) 42
b) 58
c) 36
d) 40
e) 50
?% of 700+18=751+332+83
a) 172
b) 164
c) 128
d) 142
e) 198
15% of 256 + 35% of 280 = ?
a) 133.4
b) 136.4
c) 140.4
d) 138.4
e) 135.4
3
√4096 + √12167 + 34 = (? )2
a) 11
b) 12
c) 13
d) 9
e) 8
a) 18
d) 36
= 8%of 12800 + 16
a) 24
b) 40
d) 11
c) 4.9
c) 376
?
a) 11
6
49% of 180 – 70% of 120 = 9 –?
a) 4.2
b) 5.2
d) 4.6
e) 4.8
b) 390
d) 370
e) 400
640
3
= ((15) − 225 × 12) ÷ 33.75
a) 18
5 − 4 = ? –4
2
d) 12.24
e) 12.35
462 ÷ 5.25 + 24×12 =?
a) 372
√40% of 900 − 421 + 350 + 272 = (? )2
d) 5
Q65.
68
c) 3
√1156 + √2209 = ? × √81
a) 9
b) 12
c) 7
d) 5
e) 11
64%of 2500 + 75% of 1600 = ? × 112
a) 28
b) 21
c) 24
d) 32
e) 25
a) 5
Q64.
952
Q69.
@Crossword2022
Q82.
Q83.
3
c) Multiple of 5
√1331 × 25%of 300 = ?/2
a) 1600
b) 1550
d) 1425
e) 1775
3
1
1
1
4
4
2
5
8 +4 −3 = ? +7
a) 2
3
d) 2
e) 3
10
Q93.
3
c) 3
Q94.
10
Q85.
a) 1925
b) 1650
c) 1850
d) 1875
e) 2025
3735 + 4565 + 6245 = ? + 6432
a) 8126
b) 8113
c) 6393
d) 7865
e) 8191
?
3
6
21
7
36
of of
− 20%of ? = 152
Q95.
of 216 = 108 – 72 ÷ 2 – 36
Q96.
a) Multiple of 3
b) Multiple of 2
c) Multiple of 5
d) Both A & B
e) None of the Above
Q87.
Q88.
? +√841 +
1
= 122 + 3 × 37
(3)–3
a) 113 < ?< 123
b) 120 < ?> 122
c) 133 > ? < 320
d) 143 < ?< 300
Q97.
b) 5
1
24
e) 2
23
c) 8
24
1
24
a) Multiple of 3
b) Multiple of 2
c) Multiple of 5
d) Both A & B
e) None of the Above
115% of 4880 – 85% of 1640 = 740% of ?
d) Both b & c
324 ÷ 12 + 29 × 3 – 48 + 39 = ?
e) All of the Above
Q98.
b) Multiple of 2
d) Both a & c
Q99.
44% of 250 + 30% of 270 + 13² = ?
a) Multiple of 3
b) Multiple of 2
c) Multiple of 5
d) Both a & b
b) 1 < ?> 18
d) 3 < ?< 21
e) None of these
3
121.75 + ? = 2 (6 − 91)
a) 376.25
d) 386.25
b) 378.25
3
√9261 × √1681 = ? + 89
a) 772
b) 166
d) 652
e) 762
1
2
1
3
3
5
6
17
8 × 2 +? = 14 × 3
c) 663
a) Multiple of 3
b) Multiple of 2
c) Multiple of 5
d) Both a & b
e) Multiple of 7
Q100. 45% of 80 + √841 + x² = 2121 ÷ 21
(2.5)2 + 55% of 25 = ?2 − 5
2
1
24
12.5 × ? + 123 = 40% of 4445
a) Multiple of 3
b) Multiple of 2
c) Multiple of 5
d) Both a & b
e) Multiple of 7
? % of 144 + 16 × 12 = 182 − √576
a) Multiple of 3
b) Multiple of 2
c) Multiple of 5
d) Both A & C
e) None of these
156 + 376 − ? = 13% of 3000
c) Multiple of 5
a) 3 < ?< 2
c) 23 > ? < 3
Q92.
1
24
e) Both B & D
e) All of the Above
Q91.
12
b) Multiple of 2
e) None of the above
Q90.
1
8
a) Multiple of 3
a) Multiple of 3
c) Multiple of 5
Q89.
1
4
d) 10
3
242 + 144 ×
Q86.
1
3 + ?= 7 + 2
a) 4
Q84.
18
e) None of these
c) 1650
b) 2
10
7
d) Both a & b
a) Multiple of 3
b) Multiple of 2
c) Multiple of 5
d) Both a & b
e) Multiple of 7
c) 384.25
Q101.
e) 390.86
36+3x
23
+ 28 ÷ 162 = 13 × 4
112% of 175 + ?3 × 7.5 = 162
a) 370
b) 350
a) Multiple of 3
d) 355
e) 367
b) Multiple of 2
c) 379
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
17
@Crossword2022
1
Q102. 73 × 25 ÷ 43 + 175% of 350 =x2
Q113. ? % of 460 + 34% of 750 = of 2492
4
a) Multiple of 7
b) Multiple of 4
a) Multiple of 16
b) Multiple of 13
c) Multiple of 2
d) Both a & b
c) Multiple of 5
d) Both A & C
e) All of the Above
Q103. 23 × 24 + 23 × 47 – 23 × 54 = x
a) 237
b) 289
e) All of the Above
c) 321
b) 1363
d) 1263
e) 1051
2
2
2
1
9
9
9
4
5
c) 1151
d) 8
35
36
31
b)
7
35
e) 3
36
35
c) 9
36
36
b) 52
2
3
a) 6
d) 7
+ 4
5
6
3
5
3
5
+ 2
1
2
b) 5
e) 8
= ? +5
c) 692
1
6
3
5
4
c) 4
3
4
5
Q112. (1428 + 600 ÷ 2) ÷ (720 ÷ 5) =?
a) Multiple of 3
b) Multiple of 2
c) Multiple of 4
d) Both A & B
b) 4.704
3
5
Q111. 3
a) 47.04
c) 47.94
b) 91.8
c) 93.8
b) 15
c) 80
4
3
Q119. √729 + √784 + √256 = ? + √343
a) 30 < x < 35
b) 18 > x > 42
c) 28 < x > 54
d) 22 < x > 70
e) 24 > x < 39
Q120. ? % of 125 + (15)2 = (16)2 – 2.5% of 640
a) 6
b) 8
c) 10
d) 12
e) 4
Q121. (12)3 + 24% of ? = 1830
a) 400
b) 415
c) 425
d) 405
e) 350
Q122. 7.8 + 50% of 64.4 = (7)2 - ?2
a) 3
b) 2
c) 1
d) 6
e) 7
Q123. ? = 6/5 of 8/7 of 420
a) 566
b) 576
c) 536
d) 520
e) None of these
c) 42
b) 892
e) 792
of 450 =?
d) 100
e) 120
Q118. 33% of 700 + 53% of 800 = ? % of 400
a) 192.75
b) 175.55
c) 161.75
d) 163.75
e) 167.35
d) 32
e) 62
?
Q109. 3 = 729 ÷ 243 × 216 × 72 ÷ 576
a) 22
b) 52
c) 42
d) 32
e) 62
3
Q110. 456 ÷ 4 × 8 + 24 – (16× of 15) =?
a) 992
d) 892
7
5
a) 60
c) 8024
d) 7056
e) 8824
Q107. ? × (1350 ÷ 112.5) = √5929 + √8281
a) Multiple of 3
b) Multiple of 8
c) Multiple of 5
d) Both A & B
e) Multiple of 7
Q108. 18750 ÷ √? = 36 × 11 + 59 × 6
a) 252
5
d) 95.6
e) 99.4
Q117. (16 × 25) ÷ 20 = ? ÷ 5
36
b) 9057
of 5
7
a) 9.18
35
Q106. 5220 + 1375 – 5364 + x = 10288
a) 9263
17
d) 45.04
e) 43.04
Q116. 13% of 450 + 21% of 250 =? + 24% of 80
Q105. 11 + 12 – 13 – 4 = x
a) 5
2
5
a) Multiple of 1000 b) Multiple of 1200
c) Multiple of 6000 d) Both A & C
e) All of the Above
3
4
?
Q115. of of 3430 = of 125
d) 391
e) 491
Q104. 120% of 650 + 320 + 255 ÷ 5 = x
a) 1163
2
Q114. 3 of 4
Q124. (1350 ÷ 25) of 50% of 1700 = ? % of 2700
a) 1500
b) 1100
c) 2100
d) 1700
e) 1900
e) All of the Above
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
18
@Crossword2022
Q138. [(35)3 ÷ 70 × 12] ÷ 25 = 58.8 × ?
a) 6
b) 8
c) 14
d) 22
e) None of these
Q125. 1330 + 26% of 1800 − 1190 = ? × 50 − 1742
a) 65
b) 72
c) 41
d) 56
e) 47
Q126. 1900 − (2600 ×
a) 2000
d) 2300
8
13
3
b) 1100
e) 1400
3
3
Q139. √8000 + √27 − √343 = ?
a) 23
b) 16
d) 24
e) 19
+ 1740) + ? = 80% of 700
c) 1500
50
c) 9
Q140. 14400 ÷ 36 + 15600 ÷ 12 + 450 = 1800 + ?
a) 410
b) 330
c) 390
d) 350
e) 370
Q141. 7450 + 5880 − 6890 = 9000 − ?
a) 2560
b) 2760
c) 2460
d) 2850
e) 2480
Q142. 32 × 25 + 44 × 18 + 348 ÷ 6 = ?
a) 1550
b) 1620
c) 1650
d) 1600
e) 1690
Q143. √1255 × 28 + 203 × 7 = (? )2
a) 47
b) 45
c) 49
d) 51
e) 53
Q144. 28 × 16 - 28 = ? × 30
a) 14
b) 21
c) – 1
d) 2
e) 11
Q145. 15% of 680 + 45% of 340 = ?
a) 255
b) 295
c) 345
d) 325
e) 275
Q146. (?)2 + 93 = 382 – 39
a) 38
b) 30
c) 26
d) 22
e) 6
Q127 ? = 104% of 150 + 70% of ( % of 180 +
3
20) − 17 × 7
a) 87
b) 75
c) 91
d) 72
e) None of the above.
Q128. 526 + (18)2 + 90% of 2400 + 640
=?3 − 21% of 2000 − 26
a) 26
b) 16
c) 36
d) 46
e) 56
3
Q129. √1225 ÷ √343 × 45% of 760 = ?
a) 1170
b) 1710
c) 1510
d) 1710
e) None of these
Q130. 175% of 460 + 110% of 170 + 2? = 1000
a) 3
b) 4
c) 5
d) 2
e) 1
Q131. 187.9 × 30.1 × 60.1 ÷ (34 × 64 ) = 18?
a) 1
b) 2
c) 3
d) 4
e) 5
Q132. 150% of (360 ÷ 1.5) = √? + 280
a) 6400
b) 3600
c) 8100
d) 2500
e) 4900
Q133. 36% of 245 − 40% of 10 = 10 − ?
a) 4.2
b) 6.8
c) 4.9
d) 5.6
e) None of these
Q134. 518 × ? × 9 = 303030
a) 75
b) 65
c) 85
d) 55
e) None of these
Q135. 45% of 224 × ? % of 120 = 8104.32
a) 67
b) 62
c) 59
d) 71
e) None of these
Q136. (94)2 + (? )2 = (145)2 − (56)2 − 3869
a) 5184
b) 72
c) 84
d) 7056
e) None of these
Q137. 256 × 0.5 = 1024 ÷ ? × 4
a) 128
b) 8
c) 32
d) 28
e) None of these
Q147.
?
5
3
of √3375 =
60
?
of √144
a) 18
b) 12
d) 15
e) 30
Q148. 40% of 400 + 15% of 620 = ?
a) 273
b) 243
d) 193
e) 253
3
2
1
23
Q149. 2 + 3 − 1 = ? + 1 = ?
c) 33
a) 9
b) 4
d) 1
e) 0
Q150. 15÷ 5× 4 – 2 = ? – 9
a) 23
b) 19
d) 15
e) 20
3
6
2
Q151. 2 × 4 ÷ 8 = (2)?−2
a) 7
b) 6
d) 11
e) 8
c) 3
5
3
2
c) 283
30
c) 17
c) 9
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
19
@Crossword2022
Q152.
√1521
√169
×
√1444
√361
a) 394
× (10)2 = √100 ×?
a) 40
b) 80
c) 70
d) 50
e) 60
Q153. 15% of 250+ 35% of 750 −75 = (? )2
a) 15
b) 16
c) 18
d) 10
e) 20
Q154. 7.5× 8 – 10 = ? × 2.5
a) 15
b) 20
c) 25
d) 30
e) 35
Q155. 7394+6295-3689 = ? × 40
a) 320
b) 240
c) 280
d) 250
e) 300
Q156. 9×9÷ 3+9× 123 = ? – 19 -23
a) 1176
b) 1174
c) 1177
d) 1175
e) 1178
Q157. 13× 23+ 27× 37 = (?) – 302
a) 1620
b) 1540
c) 1700
d) 1500
e) 1600
Q158. 493+287-334 = -54 + ? × 5
a) 90
b) 100
a) 18
b) 20
Q168.
b) 22
b) 79
c) 110
c) 26
Q173.
c) 15
b) 4
Q164.
b) 179
c) 67
16
a) 15/11
e) 32
728
?
c) 22
× 15 + 24% of 550 – 38 =484
b) 36
e) 28
c) 32
?
24
+ 65% of 260 = 4 × 49.75
b) 840
c) 960
b) 2
c) 8
d) 6
e) 4
Q175. 460 + 927 – 433 + ? = (31)²
c) 5
c) 178
Q176.
12
b) 13/7
d) 26
a) 10
d) 181
e) 187
19
27
29
− = ? −
12
b) 16
d) 720
e) 800
Q174. 2.46 × 15 + 25% of 92.4 = ? × 15
d) 2
e) 1
Q163. 756 ÷ 14 × 5 − √7921 = ?
a) 183
a) 42
a) 640
d) 73
e) 81
3
3
3
Q162. 16 ÷ 8 + 4 × √2744 = (? )3
a) 3
c) 20
Q169. 36 × ? + 33 × 4 + √441 = (21)2
a) 8
b) 2
c) 9
d) 11
e) 14
Q170. 568 + 330 – (12)2 = 8% of ?
a) 9255
b) 9425
c) 9755
d) 9625
e) 10225
Q171. 26% of 250 + ?% of 640 = (15)²
a) 35
b) 25
c) 20
d) 15
e) 45
Q172. 23 × 13 + (11)² - ? = (19)²
a) 49
b) 39
c) 59
d) 29
e) 19
d) 13
e) 19
Q161. √479 − 190 + 13 + √2209 = ?
a) 77
b) 16
a) 20
d) 24
d) 24
e) 22
Q160. 78 × 26 ÷ 6 + 1262 = 1311 + (? )2
a) 17
c) 398
d) 24
e) 12
Q167. ? % of 750 + (15)2 = (8)2 +356
d) 95
e) 85
Q159. √5776 − √1444 + √729 = 43 + ?
a) 25
b) 392
d) 386
e) 396
Q166. 42%of 650 + 243 - √? = 2 × (4)4
a) 1
b) 9
d) 7
e) 5
√16
50%of 128 +
×4=
2
a) 64
b) 62
d) 56
e) 82
c) 3
? + 10
c) 60
3
c) 3
Q177.
d) 37/16
e) 37/14
Q165. 48% of 275 + 55% of 480 = ?
√1331
11
a) 9
d) 6
+ √81+? = 27
b) 8
e) 5
c) 17
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
20
@Crossword2022
Q178. (3)2 × (3)6 × (9)2 ÷ (27)2 = (3)?
a) 4
b) 6
c) 7
d) 5
e) 8
Q179. 123 + 447 – 170 + 500 =? – 200
a) 1300
b) 1100
c) 1000
d) 1030
e) 1173
Q180. (14)2 + 179 + (5)2 = (? )2
a) 10
b) 20
c) 30
d) 40
e) 22
Q181. 1484 ÷ 28 + 1462 ÷ 34 − 12 × 7 = ?
a) 12
b) 14
c) 18
d) 16
e) 20
Q182. 42.5 × 15 + 37.5 × 25 = 1420 + ?
a) 145
b) 165
c) 155
d) 170
e) 185
Q183. 2450 + 3760 − 3830 = 6000 − ?
a) 3610
b) 3620
c) 3580
d) 3600
e) 3520
Q184. (60% of ?) + (150% of 180) = (50 × 6)
a) 75
b) 100
c) 80
d) 50
e) 120
Q185. 33.33% of 189 + 66.66% of 99 = ?
a) 153
b) 129
c) 123
d) 147
e) 135
Q186. (?)2 + 8 = 152 + 122
a) – 26
b) 124
c) 19
d) – 41
e) 94
Q187. √961 + √1225 + √576 = ?
a) 115
b) 90
c) 70
d) 95
e) 65
Q188. 5% of 340 + 25% of 780 = ?
a) 312
b) 222
c) 122
d) 212
e) 162
Q189. 512÷?×6= 192
a) 11
b) 18
c) 12
d) 16
e) None of these
Q190. 432 ÷ 48 × 602 ÷ 86 = ?
a) 63
b) 58
c) 53
d) 42
e) 54
5
3
6
8
2
c) 100
c) 2
c) 150
c) 40
c) 4.7
4
Q197. 44 %of 1080 ÷ 5 = ? −28
9
a) 114
b) 118
d) 124
e) 116
Q198. 65% of 480 - ? +175 =350
a) 125
b) 129
d) 147
e) 153
Q199. 3045 ÷ 87 = ? + 54
a) – 27
b) – 14
d) – 21
e) – 25
Q200.
67
264
×
66
201
b) 156
e) 152
3
c) 325
c) – 19
c) 31
c) 5
c) 678
3
Q204. √5832 − √2744 − √216 = ?
a) – 5
b) 0
d) – 2
e) -1
Q205. 29 × 31 − 24 = ? × 35
a) 23
b) 29
d) 12
e) 25
2
c) 137
c) 140
Q201. √5041 + √576 − √4096 = ?
a) 36
b) 25
d) 39
e) 38
Q202. 250.26 × 250.24 = ?
a) 25
b) 1
d) 125
e) 625
Q203. (34)2 - (38)2 + (31)2 = ?
a) 694
b) 673
d) 658
e) 701
3
c) 128
×? = 12
a) 144
d) 138
1
b) 312
e) 310
5
5
a) 120
b) 108
d) 80
e) 132
Q193. (2.16 × 31.25) ÷ ? =27
a) 2.25
b) 2.5
d) 1.75
e) 1.5
Q194. 6080 ÷ 19 = ?% of 256
a) 137.5
b) 75
d) 125
e) 175
Q195. (48% of 625) ÷ 0.75 = ?
a) 800
b) None of these
d) 4000
e) 400
Q196. 0.075% of 8800 – 1.9 = ?
a) 4.6
b) 4.75
d) 4.65
e) 4.5
Q191. 37 %of ? −√784 = 89
a) 320
d) 340
3
Q192. 1 × × of ×? = 150
c) 3
c) 38
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
21
@Crossword2022
Q206. 362 - 282 - 392 = ?
a) – 1089
b) – 969
c) - 1009
d) – 999
e) – 1039
Q207. (?)2 + 93 = 332 – 36
a) 2
b) 38
c) 30
d) 18
e) 14
Q208. 55.55% of 45 + 57.14% of 91 = ?
a) 74
b) 89
c) 92
d) 86
e) 77
Q209. ? +
a)
2
71
d)
Q210.
5
+ 1
1
4
.
b)
8
63
1
8
73
3025
25
121
÷
312
1248
+ 2
5
2
+ 7
8
1
e) 7
4
1725
+
= 1
Q219. 4
4
8
Q223.
8
= (? )2
b) 8
a) 1156
b) 1089
d) 961
e) 1225
3
3
Q218. ? × 6 + √512 = 170
a) 2
b) 3
d) 5
e) 1
c) 65
d) 35
e) 75
9
4
× 221 + 1 × 378 = 241 + ?
13
9
a) 525
b) 614
d) 458
e) 420
c) 520
2
7
a) 10
b) 8
c) 12
d) 14
e) 16
Q225. (36% of 5000) ÷ (15% of 1800 + 90) = ?
Q226.
a) 7
b) 5
d) 4
e) 3
525
?
c) 8
+ 2300 + √1600 = 1810 + 395 × 4
a) 0.7
b) 1.5
c) 0.5
d) 0.3
e) 1.2
Q227. (16)² + (21)² – (13)² + (?)² = 428 + 424
a) 18
b) 24
d) 16
c) 12
c) 26
e) 22
2
1
1
1
1
5
4
5
8
2
Q228. 5 + 2 +? = 7 + 4 + 1
a) 5
?
b) 8
e) None of these
Q217. √841 + √1296 − √1024 = √?
b) 45
Q224. 12.5% of 928 – 14 % of 980 + (12)2 ÷ (2)2 = ?
d) 16
e) 14
56
Q216.
+ (8)3 = 13%of 4000
a) 7
d) 28
3
4
a) 55
65
a) 17
b) 23
c) 15
d) 13
e) 11
Q211. (180 × 170) ÷ 16 ÷ ? = 153 × 6 + 612
a) 1.75
b) 1.20
c) 1.25
d) 1.45
e) 1.80
Q212. (24)² – (12)² – (10)² + (?)² = 207 × 3
a) 19
b) 37
c) 13
d) 23
e) 17
Q213. (1285 + 215 – 720) ÷ (1620 + 1200 – 69.5
× 40) =?
a) 23.5
b) 13
c) 21.5
d) 17.5
e) 19.5
Q214. 25%of 360 + 12.5 × 4 = ?2 + 40
a) 9
b) 8
c) 10
d) 12
e) 6
Q215. 324 +?2 = 40%of 1450
a) 18
3
+ 1 − ? = √64
a) 5/2
b) 1 ½
c) 1
d) 4
e) 2
Q220. 34 × 2 × 31 ÷ √961 = ? − 540 ÷ 18
a) 98
b) 83
c) 93
d) 95
e) 82
Q221. 3333 ÷ 33 + 4004 ÷ 26 + 650 ÷ 25 = ?
a) 320
b) 297
c) 281
d) 300
e) 241
Q222. 15.5 × 28 ÷ 112 + 1230 ÷ 240 = ? ÷ 5
1
c)
3
12
7
40
d) 2
c) 14
b) 3
1
40
e)
1
c) 5
5
8
7
40
Q229. (14 × 21) ÷ 15 ÷ ? = 4
a) 5.2
b) 4.9
d) 6.2
e) 5.9
c) 1024
5
c) 4.2
2
Q230. 2652 − 441 + 928 − 6 % of 3375 =
3
? +(31)2
a) 1953
d) 1935
c) 4
b) 1853
e) 1950
c) 1825
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
22
@Crossword2022
Q231. (3080 + 6160) ÷ ? = 330
a) 27
b) 25
d) 24
e) 23
Q232. 5
15
17
1
3
2
4
5
3
Q244. 2 + 3 – 1 =? −3
c) 28
a) 9
d) 7
% of 4913 − (15)2 = (? )2
3
b) 7
14
5
3
4
14
15
Q245. 27% of 450 – ?% of 375 = 76.5
15– 15) = ? + 15 × 16
a) 50
b) 65
c) 72
d) 60
e) 55
3
Q235. 125% of 92 – √4096 + ? = √10201
a) 5
b) 2
c) 4
d) 3
e) 9
Q247. 12 + 4 × 3 =?
3
3
7
3
1
2
4
4
8
4
2
a) 12
b) 9
e) 2
1
c) 16
Q252.
Q239. (2744)1/3 + (17)2 − 3 = ? − 79 × 8
a) 930
b) 938
c) 918
d) 994
e) 932
Q240. 323 × 15 + (?)² = 4989
a) 12
b) 11
c) 13
d) 14
e) 17
Q241. 5760 ÷ 45 × 15 = ?
a) 1850
b) 1875
c) 1920
d) 1925
e) 1970
Q242. 81% of 2300 – 34% of 550 = ?
d) 16255
e) 17815
e) 2875
3
1
2
5
5
3
b) 27
e) 22
441
?
=
c) 2905
c) 14
Q253.
4
9
×
3
11
c) 1349
c) 38
c) 12.25
c) 676
?
49×9
a) 441
d) 63
b) 21
e) 484
c) 147
× 11979 =?
a) 1756
d) 1552
b) 1262
e) 1652
c) 1452
Q254. √1444 ÷ 19 + 3.5 × √16 = (?)²
a) 2
b) 3
c) 5
d) 6
e) 4
3
Q255. 3375 + √1331 = (?)² – 19 × 5
a) 59
b) 49
d) 51
e) 41
Q256. 60% of 300 + ? = (16)²
a) 436
b) 76
d) 68
e) 86
c) 1624
d) 1596
e) 1723
Q243. 25639 – 5252 – 3232 = ?
b) 16154
c) 14
3
Q238. 111 × 36 – (61)2 − (? )2 = 3150 − (10)2 − 3000
a) 15
b) 16
c) 18
d) 14
e) 13
a) 17254
b) 2715
d) 2805
Q248. √13824 × √? = 864
a) 1225
b) 1296
d) 1369
e) 1156
Q249. 1615 ÷ (50 × 0.85) = ?
a) 35
b) 34
d) 37
e) 28
Q250. 19.5% of 78 = ?
a) 16.21
b) 11.56
d) 15.21
e) 17.25
Q251. 16.8 × 6.25 = 20% of ?
a) 576
b) 525
d) 625
e) 566
1
b) 1676
a) 2605
a) 28
d) 19
Q237. (1156)2 − (1728)3 + 178 − (? )2 = √2025 + 55
a) 100
b) 12
c) 144
d) 15
e) 10
a) 1574
b) 13
d) 11
e) 19
Q246. 311 × 17 = ? + 2482
Q236. 3 + 4 + 9 + 6 =? +5 × + 19
a) 13
d) 3
2
15
e) None of these
14
a) 9
b) 11
c) 7
d) 6
e) 8
(523.5
Q233. ? ×
+ 687.5) = 24220
a) 31
b) 20
c) 42
d) 18
e) 24
Q234. (272 − 32) × (124 + 176) ÷ (17 ×
1
c) 6
c) 17155
c) 39
c) 38
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
23
@Crossword2022
Q257. 32.12 + 34.18 = 47 × ? – 27.7
a) 3
b) 4
d) 1
e) 5
Q258. (384 ÷ 4)÷ 3 = (2)?
a) 4
b) 6
d) 7
e) 5
1
3
2
2
4
3
Q259. 1 + 2 – 5 = ? – 4
a) 2
d) 2
3
b) 3
4
2
e) 2
3
Q270. √360 − 225 × 2 + 379 = ?
a) 17
b) 19
d) 289
e) None of these
3
2
Q271. 9 × 81 ÷ 273 = (3)?
a) 3
b) 4
d) 6
e) None of these
Q272. 572 ÷ 26 × 12 – 200 = (2)?
a) 5
b) 6
d) 8
e) None of these
c) 2
c) 8
1
6
2
c) 3
3
1
1
4
Q260. 4368 + 2158 – 596 - ? = 3421 + 1262 + 5² × 48
a) 35
b) 47
5
b) 2750
c) 561
d) 561.14
e) 661
3
5
1
19
Q264. 1 + 2 − 3 = ? ×
5
Q265.
6
6
15
a) 0.5
b) 1
d) 2
e) 2.5
34×4−12×8+61
62 +√2025+(11)2
a) 1
d) 0.25
c) 1.5
5
12
c) 2
7
12
e) None of these
4
1
1
5
3
1
a) 10
= ?
b) 0.5
e) 1.5
b) 10
15
d) 15
e) None of these
Q279. 4848 ÷ 24 × 11 – 222 = ?
a) 200
b) 2444
c) 0.45
1
d) 115
2
a) 15
b) 16
c) 20
d) 17
e) 10
Q267. (5863 − √2704) × 0.5 = ? + (51)2
a) 304.5
b) 303.75
c) 302
d) 305
e) 305.5
Q268. 1231 – ?% of 500 = 145% of 780
a) 15
b) 18
c) 20
d) 25
e) 30
3
Q281.
2
15
×
15
18
8
3
9
1
7
2
4
7
b)2850
c)2750
7
e) None of these
b) 22
e) None of these
c) 25.26
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
24
1
of (20% of 920) = ?% of 650
a) 19
d) 21.23
c) 135
c) 29
7
d)2555
Q282.
c) 2000
÷ + 88 × 26 + 562 =?
a)2850
1
c) 5
e) None of these
8
Q280. 1750 ÷ 350 × 50 + 111 = (? )2
a) 19
b) 39
d) 9
e) 49
Q269. 5 of 208 + 786 = 2000 − ?
b) 138
e) 148
b) 3
4
3
Q278. 4 × 3 + ? = 20% of 120
Q266. 464 ÷ (16 × 2.32) + 4 = ?
a) 126
d) 156
1
c) 7
2568 ÷ 24 × 12 of 24 ÷ 4 = 720 of ?%
a) 1038
b) 1042
c) 1052
d) 1070
e) 1096
Q275. 40% of 265 + 35% of 180 = 50% of ?
a) 338
b) 84.5
c) 253.5
d) 169
e) None of these
Q276. 460 × 15 – 5 × 20 = ?
a) 92000
b) 4600
c) 137800
d) 7000
e) None of these
Q277. 5163 – 4018 + 3209 = ?
a) 4174
b) 4264
c) 4804
d) 4354
e) None of these
c) 2650
b) 661.14
12
c) 5
Q274.
d) 2825
e) 2675
Q262. 780 ÷ √676 + (? )2 = 1326
a) 35
b) 38
c) 34
d) 36
e) 32
Q263. 3695.12 + 4458.02 - ? = 7592.14
a) 562.14
7
6
d) 3
5
a) 2780
5
2
a) 3
c) 51
d) 56
e) 45
2
3
4
Q261. of of of 125% of ? = 1112
3
1
Q273. 4 − 2 =? − 1
4
c) 279
@Crossword2022
63000
Q283.
285× 525
600
a)141
d)145
b)142
e)149
110
×?
100
112
100
Q284.
3
5
×
a)
d)
Q286.
15
100
5
×
3276000
18
= 5 ÷?
1
b)
3276
1
c)
3276
3
4286
e) None of these
2516
=?
15% of 8550
d)
Q295. √(256) × √169 + 3600 ÷ 12 = 800 − ?
a) 312
b) 280
c) 292
d) 324
e) 296
Q296. 37.5 × 14 + 800 − (26)2 + 136 =?
a) 785
b) 800
c) 810
d) 825
e) 765
Q297. 5430+3780 - 6430 = 2260 + ?
a) 530
b) 490
c) 500
d) 520
e) 510
Q298. 2160÷12+5740÷14-3150÷15+ ? = 400
a) 16
b) 32
c) 28
d) 24
e) 20
b) 405550
c) 256892.8
e) None of these
13% of 5700
a)
c)143
= 4 × 8888
a) 36198.4
d) 548260
Q285.
Q294. 28 × 14.5 + 1680 ÷ 15 + 445 = 1000−?
a) 27
b) 37
c) 47
d) 50
e) 40
= ? −86
26
b)
45
41
28
c)
45
22
Q299. √3481 × 7 + √5625 ×4= 500+ ?
45
e) None of these
45
Q287. 33 × 5200 – 35 × 2500 =? ×
a)10052
d)10092
a) 213
d) 233
50
6
b)14528
e) None of these
Q288. (75×2) + (90×3) – 35 × 3 × 6 ÷
3
=
5
a)1099
b)1199
c)1000
d)1212
e) None of these
Q289. 13956 + 412 − 2704 = ? − (31)2
a) 28
b) 45
c) 65
d) 85
e) 98
Q290. √
60
+
40
−
a) 10
d) 7
Q291. 25 × 18 +
1330
70
4200
40
−
525
105
5
3
9
Q303. √1714 + 520 ÷ 2 – 190 × 5 = ?
=?
b) 9
e) 11
1
a) –10
b) 10
c) 20
d) –20
e) 15
Q301. (15% of 720) - ? = (125% of 60)
a) 33
b) 45
c) 28
d) 57
e) none of these
Q302. 1620 – (27 × 20) = ? × 9
a) 175
b) 120
c) 125
d) 140
e) 160
7
1440
c) 203
Q300. 220 + 33 % of 1020 + ? = 5 % of 2700 + 400
c)12212
? – 105 – 696 × 3
3840
b) 223
e) 243
a) 32
b) 36
d) 52
e) 26
Q304. 252.7 × 54.2 ÷ 56.4 = 25(?)
a) 1.7
b) 3.2
d) 3.6
e) 2.8
c) 8
= 740−?
a) 200
b) 220
c) 190
d) 170
e) 150
Q292. 3845 + 43820 + 2640 − 5965 = (? )2
a) 75
b) 60
c) 80
d) 70
e) 72
Q293. 400 ÷ 20 × 35 + 6666 ÷ 33+? = 1100
a) 180
b) 198
c) 195
d) 205
e) 200
c) 42
c) 1.6
Q305. √441– 41 × 42 ÷ 7 = ?
a) 20
d) 120
Q306.
?
√25
=
a) 20
d) 50
b) 60
e) 80
c) 180
b) 45
e) 60
c) 25
15×4 –40
2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
25
@Crossword2022
Q307. 621 ÷ 27 × 2 – 37 = √?
a) 9
b) 3
Q320. 130% of 850 – 175% of 460 = 30% of ?
c) 81
a) 100
d) 3√3
e) 21
Q308. 36% of 250 × 18% of 50 = ? + 10
a) 820
b) 810
d) 30
c) 790
b) 36
c) 9
b) 20
c) 40
d) 14
c) 50
2
3
22
23
𝑜𝑓
276
630
777
× 63 +
744
Q329. (2)?+2 =
𝑜𝑓 4
7
12
8
2
𝑜𝑓 18
c) 374
× 186 = ?
b) 126
d) 136
a) 6
c) 14
e) 396
372
a) 116
c) 79
4
2
9
b) 352
d) 385
Q328.
4
e) 15
4
a) 330
407
9
b) 14
Q327. ? = 10
c) 128
e) 140
(512)
32
64
× (128) × 8
b) 5
c) 4
d) 3
e) 7
Q330. ? = (62 − 32 ) × (82 − 42 ) ÷ (10.52 − 1.52 )
a) 6
e) None of these
b) 8.5
e) 11.5
3
a) 14
d) 63
e) 89
Q318. (40% of ?) + (120% of 125) = 240
a) 225
b) 240
c) 175
a) 9.5
d) 8
c) 4
b) 45
9
Q317. √52 × 41 × 5 – 172 – 75 =?
d) 280
c) 22
d) 55
e) 60
Q325. 52% of 180 × 45% of ? = 2106
a) 40
b) 50
c) 60
d) 55
e) 65
1
2
1
2
1
3
Q326. 7 + 6 − 4 = ? − 5 + 4 − 4
c) 21
Q319. 625 ÷ 2.5 + 283 – 157 + √576 + (10)² =
13
b) 3
a) 40
e) None of these
b) 71
4
9
d) 6
e) 9
Q324. 8973– 2378 + 1577 =?2 + 4572
d) 570
e) 590
Q314. 25% of 40% of 50% of 800 + 24 = ?3
a) 3
b) 4
c) 5
d) 6
e) None of these
Q315. (√784 ÷ 7) × 115 = ?2 – 15% of 160
a) -26
b) 18
c) 24
d) -16
e) -22
Q316. 32% of 3500 + 28% of 2500 = ?% of 7280
a) 15
b) 20
c) 25
a) 69
2
×7 ×9
b) 11
a) 2
d) 22
e) 25
Q313. 15 × 28 + 14 × 5 + 15 × 32 = ? + 420
a) 550
b) 330
c) 510
d) 30
11
a) 484
b) 676
c) 576
d) 529
e) 625
Q323. 3? = √120 × 15 − 65 × 20 + 229
d) 80
e) 20
Q312. 40% of 550 + 217 – 37 = ?2
a) 18
3
d) 33
e) 39
Q322. √? = (1872 ÷ 12) ÷ 6.5
d) 80
e) 100
Q311. 715 + 305 – (15 ×18) = ? × 25
b) 60
6
a) 48
d) 40
e) 42
Q310. (480 – 75% of 240) ÷ 20 = ? – 85
a) 150
b) 60
c) 120
a) 30
c) 10
e) 300
1
Q321. ? × 13 = 6
d) 800
e) 700
Q309. [(7)² –(6)²]÷ 26 = 18 ÷ ?
a) 18
b) 1000
b) 8
c) 9
d) 12
e) 15
Q331. 35% of 540 + 410% of 30 = 39% of ?
a) 900
b) 800
c) 700
d) 950
e) 850
4750
?
c) 6.5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
26
@Crossword2022
Q332. ?² = 40% of
a) 12
5
11
Q344. √81 × √625 + 1225 = (?)² – 150
of 352
b) 16
c) 6
d) 4
e) 8
Q333. ? ÷ 15 × 11 = 195 ÷ 108 × 132 ÷ 65
a) 5
b) 15
c) 25
d) 55
e) 12
a) 6
b) 16
b) 3
d) 5
e) 6
c) 8
b) 60
d) 90
e) 30
b) 6
b) 2.5
d) 2.25
e) 2.75
b) 12.5
c) 168
b) 1800
d) 1500
e) 1700
1
2
2
b) 4
2
1
c)
3
2
e) 2
2
a) 4900
b) 5041
d) 5476
e) 5625
√676
√784
÷
39
√3969
7
1
2
9
9
3
3
d) 32
4
9
7
9
b) 32
e) 31
3
√125
×3
√729
] =?
c) 298
8
a) 31
c) 45
c) 5329
b) 342
e) 441
Q350. 23 + 15 − ? = 12 ×
c) 32
5
9
8
9
Q351. 16.5 × 18 ÷ √729 × 11 + 48 = (? )2
a) 15
b) 19
c) 13
d) 5
e) None of these
Q352. 4444 ÷ 44 + 3003 ÷ 3 = ? + 841
a) 271
b) 261
c) 251
d) 281
e) 291
Q353. (4080 + 5160) ÷ ? = 440
a) 21
b) 25
c) 31
d) 28
e) None of these
Q354. ? × (623.5 + 587.5) × 5 = 24220
a) 5
b) 6.5
c) 5.5
d) 4.5
e) 4
Q355. ? = (19² - 11²) × (8² - 4²) ÷ (13.5² - 3.5²) ÷
96 × 289
a) 201
b) 204
c) 402
d) 102
e) 408
c) 5
c) 1
c) 17.5
d) 10
e) 8.5
Q343. 26 × 15 + 310 – (15)² = 25% of ?
a) 1600
5
a) 281
d) 321
Q342. √625 ÷ √16 × 6 = ?% of 300
a) 15
1
3
÷ 2 − =? – 1
Q349 53.5% 𝑜𝑓 720 × [
c) 270
d) 4
e) 3
Q341. (1250 + 1725) ÷ (825 + 365) = ?
a) 1.5
19
1
Q348. √? × 12 – 26% of 1650 + 19 = 13 × 34
Q340. √12.25 × 18 – (? )² = (6)² + √4
a) 7
9
d)
d) 166
e) 186
Q339. 60% of (152 ÷ 19) × ? = 3³ × 4²
a) 80
2
a)
c) 12
e) 32
1
Q347. 2 × 1
d) 162
e) 540
Q338. ? = 40% of 320 + 4³ ÷ 18 × 108 ÷ 8
b) 172
c) 5
b) 26
d) 28
3
a) 176
b) 7
e) 8
a) 34
c) 28
c) 4
b) 180
e) 40
c) 35
Q346. 38% of 250 – 85% of 560 + 13 × ?= 61
Q337. 90% of ?= √576 ÷ √64 × √729
a) 90
d) 30
a) 6
d) 4
d) 2
e) 4
Q336. 2? = 64 × 288 ÷ 256 ÷ 36 × 16
a) 2
b) 45
Q345. 4900 ÷ 28 × 444 ÷ 12 – 6450 = (?)²
Q334. ? = √60% 𝑜𝑓 850 + 80% 𝑜𝑓 550 − 83 × 2
a) 32
b) 22
d) 38
e) 26
Q335. ?2 = (√1444 + √676) ÷ 4
a) 50
c) 1900
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
27
@Crossword2022
Q357. ?² ÷ 352 = 40% of
5
11
c) 15
c) 22.5
Q371.
Q373.
Q366.
25
×
17
34
Q368.
19
×
53
c) 1521
221
a) 342
d) 384
×
106
×? =
45
3
b) 60
e) 80
c) 55
+ 180 × 2 – (12)2 – 20 = (13)2 + 87
a) 137.5
b) 125.5
d) 112.5
e) 107.5
a) 800
b) 750
d) 900
e) 950
624
?
c) 117.5
c) 825
+ 3.5 × 6 + 27 = (6)2 +
440
2
b) 3
e) 7
1
c) 4
11
% of 5500 – √625 = (10)³
a) 15
c) 56
b) 45
c) 20
d) 25
e) 10
Q376. 2450 – 1540 + 1700 – 710 = ?% of 1900
a) 120
d) 200
b) 160
e) 100
Q377. 40% of 1325 + 299 +
a) 10
d) 15
b) 20
e) 25
c) 125
1626
6
1
= 33 % of 3300 + ?
3
c) 0
Q378. (7142 – 5684 + 781 – 239) ÷ 4 = ?
a) 400
d) 540
b) 450
e) 600
c) 500
Q379. 2250 + 270 – √400 + 3125 ÷ 25 + ? = (60)²
a) 875
252
b) 945
c) 935
d) 975
e) 925
Q380. (2/5){(3/5) × 750 + 40% of 375} = ? × 16
4
b) 441
e) 424
45
41
a) 44
b) 46
d) 54
e) 64
Q375. (228 – 124) × 5 = ? × 26
= (? )2
91
e) 5
34
3
a) 1
b) 0.4
c) 0.5
d) 0.8
e) 1.2
Q367. 34% of 250 – 45% of 340 = ? – 150
a) 85
b) 82
c) 91
d) 101
e) 92
17
?+62.5
9
e) 947
÷
c) 6
35
1
Q365. 4368 + 2158 – 596 -? = 3421 + 1262
a) 1247
b) 1157
c) 1367
21
6
Q374. ?% of 625 + 33 % of 750 +
e) 7
14
45
a) 5
d) 8
c) 1791.36
Q364. (1520 of 25% + √256) ÷ 9 × 4 = ?
a) 108
b) 135
c) 153
d) 176
e) 189
3
45
34
b)
Q372. 22.5 × 12 + (11)² – √? = (19)²
Q363. √484 + √8649 + 192 = 212 + √1089+?
a) 2
b) 3
c) 4
d) 1457
6
41
2
e) 1444
d) 5
1
9
a) 50
d) 75
e) 73.79
d) 1225
1
6
31
1
Q360. 4.4 + 14.44 + 41.14 = ? – 14.41 – 1.4
a) 74.21
b) 75.79
c) 76.19
Q362. (7921 ÷ 178) – 5.5 = √?
a) 39
b) 1369
1
3
Q370. 37 % of 4200 + (25)² + (10)³ – 700 = (?)²
3
Q361. 81% of 2300 - ? = 34% of 596
a) 1751.36
b) 1680.36
d) 1660.36
e) 1691.36
2
5
d) 7
Q359. 12.5% of ?= √1089 ÷ √1331 × 24
a) 625
b) 576
c) 600
d) 529
e) 676
d) 78.79
2
5
a) 6
× 400
a) 16
b) 150
d) 160
e) 140
Q358. 60% of (608 ÷ 19) × ? =3³ × 4²
a) 21
b) 22
d) 21.5
e) 23
4
Q369. 1 + 3 + 2 + 1 = 1 + 1 + ?
Q356. √√961 + √841 − √625 ÷ 5 × √35 = ?
a) 5
b) 6
c) 8
d) 9
e) 7
c) 542
a) 20
d) 12
b) 24
e) 18
c) 15
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
28
@Crossword2022
Q381. (42% of 1500 – 230) ÷ 25 = ? ÷ 4
a) 64
b) 32
c) 48
d) 24
e) 76
Q382. {(420 ÷ 28)% of 1400} ÷ 7 = ?
a) 35
b) 20
c) 15
d) 30
e) 25
Q383. (15 × 16) + 242= ? × 16
a) 31
b) 45
c) 51
d) 24
e) 40
Q384. (2/5)(32% of 4500 – 440) = ? × 8
a) 50
b) 45
c) 30
d) 25
e) 20
Q385. (6/7) × 1050 – (3/8) × 1200 = ?% of 750
a) 40
b) 60
c) 20
d) 35
e) 25
Q386. 35% of 1600 – 142 = ? × 14
a) 16
b) 32
c) 24
d) 26
e) 34
Q387. (5/6){(122 + 221) – (212 + 112)} = ? ÷ 24
a) 360
b) 420
c) 380
d) 240
e) 260
Q388. (1600 – 160 – 16) ÷ 16 = ?
a) 89
b) 93
c) 84
d) 74
e) 69
Q389. (16 × 15) + (45 × 12) + (30 × 24) = ?
a) 1800
b) 1240
c) 1200
d) 1250
e) 1500
Q390. (22% of 1500 + 15% of 2200) = ? × 11
a) 60
b) 45
c) 80
d) 50
e) 95
Q391. (342 – 20% of 5280) = ? ÷ 3
a) 250
b) 450
c) 300
d) 650
e) 300
Q392. 321 + 52 × 5 – 125 = ? × 12
a) 64
b) 46
c) 54
d) 38
e) 30
Q393. (78 × 15) ÷ 52 × 8 = ? + 55
a) 200
b) 175
c) 160
d) 145
e) 125
Q394. (48 × 12) ÷ 18 × 8 = 4?
a) 8
b) 6
c) 3
d) 5
e) None of these
Q395. 645 + 255 + 365 – 575 = ?
a) 580
b) 720
d) 690
e) 500
Q396. 62.5% of 640 + 45% of ? = 252
a) 750
b) 600
d) 800
e) None of these
Q397. (7/8 + 7/16) × 256 – 12 = ?2
a) 25
b) 18
d) 8
e) 12
Q398. 16/15 of 21/28 of 321.5 = ?
a) 257.2
b) 251.4
d) 224.3
e) None of these
c) 540
c) 500
c) 30
c) 264.5
Q399. √4096 + √3249 = (?)2
a) 21
b) 9
c) 17
d) 13
e) 11
Q400. 24% of 35% of 150% of 2500 = ?
a) 325
b) 305
c) 315
d) 335
e) None of these
Q401. 32% of 3500 + 28% of 2500 = ?% of 7280
a) 15
b) 20
c) 25
d) 30
e) None of these
Q402. 37.5% of 2016 + 25% of 3648 = ? × 12
a) 160
b) 120
c) 170
d) 145
e) None of these
Q403. If the sum of 20% of 5/3 of 35% of ‘x’ and 46
is 74, find the value of ‘x’.
a) 120
b) 150
c) 180
d) 240
e) 200
Q404. What will come in the place of question mark
(?) in the given expression?
22.5% of 400 + 32% of 625 = ? + 100
a) 280
b) 250
c) 190
d) 150
e) 320
Q405. (315 × 81) ÷ 45 – 147 = ? × 3
a) 160
b) 180
c) 120
d) 140
e) None of these
Q406. √1521 + √1681 = ?2 – 41
a) 11
b) 15
d) 17
e) 21
Q407. 964 + 256 - ? = 465 + ? + 121
a) 256
b) 297
d) 305
e) None of these
c) 9
c) 357
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
29
@Crossword2022
Q408. (1/2 × 4/5 + 3/5 – 1/5) × 245 = ?
a) 142
b) 196
c) 184
d) 154
e) 212
Q409. ? = 45% of 2400 – 152 – 282
a) 71
b) 121
c) 51
d) 141
e) None of these
Q410. 23% of ? = 25% of 448 + 12 ×√(841) – 20% of
460
a) 1200
b) 1400
c) 1600
d) 2400
e) 1800
Q411. √3481 + √4356= ?% of 500
a) 25
b) 20
c) 15
d) 35
e) None of these
Q412. 16/15 of 21/28 of 321.5 = ?
a) 257.2
b) 251.4
c) 264.5
d) 224.3 e) None of these
Q413. ( 262144 / 4096 ) × ( 32768 / 512 ) + ? = 5020.8
a) 1024.4
b) 124.8
c) 634.8
d) 924.8
e) None of these
Q414. 6482.1 × 0.02 + 2281.7 – ? = 882.321 + 1439.31
a) 20
b) 21
c) 22
d) 23
e) None of these
Q415. 33.33% of 180 + 66.67% of 321 = ? of 548
a) 2/7
b) 1/2
c) 4/7
d) 3/7
e) None of these
Q416. √4096 + √3249 = (?)2
a) 21
b) 9
c) 17
d) 13
e) 11
Q417. {(45 × 220) ÷ 33} + 325 = ?2
a) 25
b) 15
c) 35
d) 20
e) None of these
Q418. (111 + 121 + 131 + 141) ÷ 21 = ?
a) 19
b) 24
c) 35
d) 28
e) 14
Q419. 22% of 3500 – 152 = 20% of 725 + ?
a) 125
b) 320
c) 480
d) 240
e) 400
Q420. ?% of 4200 + 1380 × 5/46 = 25% of 3120
a) 40
b) 35
c) 20
d) 15
e) 25
Q421. 13 × 8 + 13 × 12 + 13 × 16 + 13 × 20 = ? × 8
a) 85
b) 102
c) 77
d) 85
e) 91
Q422. 737 × 3 + 363 × 2 + 11 × 33 = ? × 11
a) 120
b) 300
c) 240
d) 280
e) None of these
Q423. ? × 32 – 25% of (480 × 128) = 0
a) 80
b) 240
c) 64
d) 480
e) None of these
Q424. 93 × (8910 ÷ 110) = (14580 ÷ 20) × ?
a) 27
b) 42
c) 81
d) 729
e) None of these
2
3
Q425 26 + 11 - √49 = 2 × ?3
a) 8
b) 10
c) 12
d) 5
e) None of these
Q426. 65% of 1200 – 15% of 400 = ?3 × 45% of 200
a) 4
b) 1
c) 3
d) 2
e) None of these
Q427. (180 ÷ 4) + (196 ÷ 7) = (?% of 30) ÷ 12
a) 2840
b) 2920
c) 2190
d) 2780
e) None of these
Q428. (80 × 15) ÷ 42 = (? ÷ 6) + 15
a) 360
b) 240
c) 300
d) 480
e) 320
Q429. (45% of 400) – (? × 3) = (125% of 60)
a) 40
b) 35
c) 48
d) 45
e) 25
Q430. √784 ÷ 7 + (15 × 5) = ? – 41
a) 80
b) 180
c) 120
d) 140
e) 100
Q431. 45% of 1500 – 2 × 52= ?2
a) 25
b) 35
c) 5
d) 20
e) None of these
Q432. (32 × 25) – 202 = 20% of ?
a) 1000
b) 3200
c) 2000
d) 2500
e) None of these
Q433. 22% of 5000 + 14% of 400 = ?2
a) 26
b) 14
c) 24
d) 36
e) None of these
Q434. 73 – 132– ? = 25% of 120
a) 216
b) 144
c) 156
d) 246
e) None of these
Q435. 80% of 2500 - ?% of 2500 = 103
a) 20
b) 60
c) 30
d) 40
e) None of these
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
30
@Crossword2022
Q436. 28 x 16 - 28 = ? x 30
a) 14
b) 21
c) – 1
d) 2
e) 11
Q437. (540 ÷ 12) – (288 ÷ 16) = ? × 32
a) 3
b) 6
c) 4
d) 2
e) None of these
Q438. 162 – 116 = ?% of 350
a) 25
b) 20
c) 40
d) 35
e) 30
Q439. 2(2/3) x 11(3/4) = 44/5 x 2a/6 x 114+b
a) a = -28/5, b = -13/4
b) a = -28/5, b = -9/4
c) a = -23/5, b = -13/4
d) a = -23/5, b = -9/4
e) None of the Above
Q440. (√289 + 113) ÷ 2 = ?2 – 16
a) 7
b) 13
c) 5
d) 9
e) 11
Q448. 150 x 11 = ? - 230 x 9
a) 3640
b) 3650
d) 3660
e) 3680
Q449.
c) 3720
900
= 14 × 11 + √225 = ?
6
a) 3
b) 11
c) 21
d) 1
e) 25
Q450. 66.66% of 33 + 77.77% of 261 = ?
a) 231
b) 228
c) 204
d) 249
e) 225
Q451. (?)2 + 55 = 162 + 322
a) 35
b) 155
c) 95
d) 125
e) 185
Q452. (0.027)107 ÷ 0.0959 = (0.3)?
a) 212
b) 203
c) 194
d) 206
e) 221
Q453.
3
Q441. √625+ ? = 3 of 132
?
78
of √400 =
120
?
3
Of √2197
a) 93
b) 87
c) 78
d) 99
e) 84
Q454. 195 x 16 = ? - 280 x 4
a) 4290
b) 4240
c) 4180
d) 4320
e) 4310
Q455. 71.42% of 189 + 77.77% of 306 = ?
a) 358
b) 385
c) 373
d) 370
e) 349
6
a) 421
b) 440
c) 437
d) 425
e) 401
Q442. 472 + 602 - 572 = ?
a) 2590
b) 2490
c) 2560
d) 2650
e) 2480
Q443. (?)2 + 53 = 192 – 11
a) 35
b) 23
c) 11
d) 15
e) 27
Q444. 12.5% of 200 + 20% of 100 + 55.55% of 45 = ?
a) 67
b) 70
c) 88
d) 64
e) 82
Q445. 12(3/4) x 13(3/4) = 1442/4 x 12a/4 x 134+b
a) a = -1, b = -13/4
b) a = -1, b = -9/4
c) a = 0, b = -13/4
d) a = 0, b = -9/4
e) None of the above
Q446. (0.064)113 ÷ 0.1654 = (0.064)?
a) 86
b) 74
c) 65
d) 77
e) 92
Q447. 10(3/4) x 5(3/4) = 1002/6 x 10a/5 x 56+b
a) a = 17/12, b = -21/4
b) a = 5/12, b = -17/4
c) a = 5/12, b = -21/4
d) a = 17/12, b = 17/4
e) None of the Above
Q456.
660
6
− 15 x 12 + √256 = ?
a) -50
b) -38
d) -40
e) -54
Q457. 115 x 15 = ? - 150 x 11
a) 3385
b) 3375
d) 3435
e) 3395
3
3
c) -46
c) 3315
3
Q458. √343 − √2197 + √2744 = ?
a) 7
b) 10
d) 8
e) 14
2
2
2
Q459. 36 - 45 - 24 = ?
a) -1395
b) -1405
d) -1305
e) -1275
Q460. (?)2 + 31 = 202 + 162
a) 70
b) 85
d) – 5
e) 25
c) 11
c) -1255
c) 55
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
31
@Crossword2022
Q461. 10240.18 x 10240.22 = ?
a) 64
b) 1
d) 16
e) 256
Q462. (19)2 + (36)2 + (37)2 = ?
a) 3053
b) 3031
d) 3030
e) 3026
Q474.
c) 4
c) 3047
4
6
Q467. √1764 + √9025 + √3844 = ?
a) 200
b) 201
d) 193
e) 199
2
2
Q468. (30) - (33) - (14)2 = ?
a) – 371
b) – 397
d) – 385
e) – 372
3
3
c) 137
Q477.
c) 28
Of √100
?
19
35
×
13
95
c) 92
c) 26
c) 2585
c) 621
× ? = 15
b) 209
e) 239
Q478. √7396 + √400 + √6400 = ?
a) 191
b) 184
d) 186
e) 181
Q479. 320.03 x 320.57 = ?
a) 16
b) 1
d) 4
e) 8
c) -1823
c) 225
c) 182
c) 2
2
Q480. √1681+ ? = 1 of 72
c) 196
6
a) 75
b) 60
d) 67
e) 79
Q481. 33 x 20 - 20 = ?x 40
a) 9
b) 16
d) 7
e) 3
Q482. 142 + 152 - 592 = ?
a) -3080
b) -3070
d) -3060
e) -3130
Q483. 19 x 44 - 14 x 40 = ?
a) 276
b) 285
d) 280
e) 302
Q484.. 35% of 460 + 80% of 685 = ?
a) 609
b) 629
d) 759
e) 709
2
2
Q485. (?) + 4 = 13 + 262
a) -16
b) 104
d) -31
e) -76
c) - 378
c) 50
6
Q470. √256 + ? = 3 of 168
7
a) 632
b) 642
d) 636
e) 621
2
2
2
Q471. 14 + 15 - 34 = ?
a) -755
b) -795
d) -655
e) -675
2
3
2
Q472. (?) + 9 = 32 – 6
a) 17
b) 1
d) 9
e) 5
2
2
Q473. (?) + 56 = 14 + 342
a) 111
b) 54
d) 21
e) 36
16
a) 229
d) 213
3
Q469. √6859 + √1728 + √2197 = ?
a) 44
b) 47
d) 46
e) 45
3
of √64 =
a) 20
b) 23
d) 44
e) 41
Q475. 135 x 15 = ? - 190 x 3
a) 2515
b) 2605
d) 2635
e) 2595
2
⅓
Q476. 25 - 64 + 6561¼ = ?
a) 636
b) 642
d) 639
e) 630
Q463. √961+? = 4 of 36
a) 127
b) 148
d) 123
e) 143
Q464. 35 × 34 − 30 = ? × 40
a) 21
b) 29
d) 30
e) 27
Q465. 36 × 16 − 48 × 50 = ?
a) -1833
b) -1811
d) -1824
e) -1814
Q466. 45% of 580 - 30% of 530 = ?
a) 32
b) 2
d) 62
e) 102
?
10
c) 612
c) -735
c) 13
Q486.
c) 24
?
2
3
of √216 =
a) 16
d) 7
24
?
c) 55
c) 32
c) -2960
c) 283
c) 619
c) 29
of √4
b) 28
e) 4
c) 25
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
32
@Crossword2022
Q487. 175 x 8 = ? - 310 x 5
a) 3030
b) 2990
c) 2920
d) 2950
e) 3010
Q488. 252 - 1000⅓ + 1296¼ = ?
a) 615
b) 621
c) 633
d) 603
e) 639
Q489. (80% of 1400 +70% of 2800) = ?
a) 3080
b) 3060
c) 2980
d) 3140
e) None of these
Q490. (122 × 2 – 162) = ?
a) 25
b) 32
c) 34
d) 22
e) 38
Q491. 232 + (242 ÷ 16) + 40% of 600 = ?
a) 780
b) 805
c) 795
d) 820
e) None of these
Q492. (20% of 352) + 186 ÷ 6 – 27 × 6 = ?
a) 128
b) 114
c) 116
d) 103
e) 106
Q493. (16 × 9 of 2 + 152) = ?
a) 513
b) 565
c) 547
d) 429
e) 501
Q500. (? )2 − 31 × 7 = √1521 + 12 × 35
a) 26
b) 38
c) 21
d) 24
e) 18
Q501. 46% of 1500+36% of 750=?+28×15
a) 570
b) 500
c) 450
d) 540
e) 640
5
18
Q502. ? × 13 = 26 × 6
6
Q504.
896
?
b) 18
e) 16
c) 3600
3
c) 8
Q508.
c) 14
4
17
+1
a) 48
3
51
5
17
12
d) 47
17
1
− 6 + 343 × = ?
b) 48
e) 48
7
12
17
4
c) 47
5
17
17
Q509. 29 + 17 – 18 = ? – 124 + 12
a) 140
b) 130
d) 120
e) 145
c) 3
c) 135
1
Q510. 11 % of 990 + 15 – 25 = (? )3 − 17 − 8
c) 1250
9
a) 4
b) 3
c) 6
d) 5
e) 7
Q511. 21 × 17 + 11 × 13 + (10)2 = (? )2 ÷ 6
a) 62
b) 60
c) 55
d) 50
e) 54
Q512. 9801 + 1137 – 1898 + 2346 = ? + 2446
a) 8940
b) 8848
c) 8954
d) 8972
e) 8936
+ 21% of 6400 = 382 − 44
a) 8
d) 12
b) 3544
e) 4500
Q506. 158 × √1331 − 500 × 3.5 + 1131 + 13 × 17 =?
a) 1340
b) 1300
c) 1500
d) 1200
e) 1000
Q507. 1225 ÷ 2.5 − 1500% of 122 + 3160 + 121 = ?
a) 1000
b) 1611
c) 1800
d) 1455
e) 1708
Q496. 4√62.5% 𝑜𝑓 284 + 12.5% 𝑜𝑓 628 = 2?
Q498.
× 9646 − 24% of 1900 + 1548 ÷ 1.5 = ?
Q505. √115600 + 14 × 102 − 1312 + 11 ÷ 2.75 = ?
a) 400
b) 420
c) 460
d) 500
e) 560
4
a) 2
b) 1
d) 4
e) 5
3
Q497. 84%of ? + 12 = 145 × 18
a) 1200
b) 1000
d) 1050
e) 950
4
13
a) 3500
d) 4000
Q494. ? × (7.5 + √256) + 102 = 132
a) 10
b) 2
d) 4
e) 6
Q495. ? % of 250 + 122 = 80% of 230
a) 12
b) 16
d) 18
e) 20
23
a) 20
b) 18
c) 21
d) 14
e) 15
Q503. (?+26)% of 1200+375÷75×4=500
a) 18
b) 12
c) 14
d) 16
e) 10
c) 24
Q499. (? )% of 350 – (19)2 + 28 × 45 = 1032
a) 48
b) 38
c) 26
d) 44
e) 56
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
33
@Crossword2022
1
4
3
7
3
Q526. (440 ÷ 20) × (240 ÷ 16) = ?
a) 330
b) 240
c) 420
d) 300
e) none of these
Q527. ? × 22 + 45% of 400 = (15 × 8) + 280
a) 10
b) 12
c) 8
d) 15
e) 16
Q528. 36% 𝑜𝑓 245 − 40% 𝑜𝑓 10 = 10− ?
a) 84.2
b) 6.8
c) 74.2
d) 75.6
e) -74.2
Q529. 24.424 + 5.656 + 1.131 + 0.089 = ?
a) 31.003
b) 31.3
c) 31.03
d) 31.0003
e) 3.1
Q530. 21? × 216.5 = 2112.4
a) 18.9
b) 4.4
c) 5.9
d) 16.4
e) 6.9
Q531. 12.25 × ? × 21.6 = 3545.64
a) 14.8
b) 12.6
c) 15.8
d) 13.4
e) 11.4
Q532. 15.5% of 646 + 24.5% of 298 = ?
a) 184.22
b) 173.14
c) 168.26
d) 137.41
e) 183.14
Q513. 21 × 3 + 28 % 𝑜𝑓 525 + √1331 = (? )2
a) 13
b) 14
c) 16
d) 17
e) 15
Q514. 36 × 15 – 56 × 784 ÷ 112 =?
a) 138
b) 238
c) 158
d) 258
e) 148
Q515. 28.314 – 31.427 + 113.928 =? + 29.114
a) 81.711
b) 80.701
c) 71.711
d) 81.701
e) 80.107
Q516. 6573 ÷ 21 × (0.2)² =?
a) 18.25
b) 22.6
c) 15.65
d) 12.52
e) 12.89
Q517. 475 + 64% of 950 = 900 +?
a) 183
b) 233
c) 198
d) 186
e) 283
Q518. (0.064) × (0.4)7 = (0.4)? × (0.0256)²
a) 7
b) 2
c) 8
d) 3
e) 4
1
3
Q519.
× 3237 + × 5362 + 200% 𝑜𝑓 1 =
13
14
? + 1335
a) 72
b) 70
c) 68
d) 65
e) 85
Q520. 33 ÷ 37 × 27 × 11.25 + 75% of 45 =?
a) 37.5
b) 3.75
c) 375
d) 35.7
e) 32.5
Q521. 36.5% of 140 ÷ 12.5% of 80 =?
a) 6.12
b) 4.71
c) 5.11
d) 5.91
e) 8.11
Q522.
5
8
1
1
1
3
5
4
Q533. 2 + 1 + 2 =?
a) 8
d) 6
23
60
37
60
b) 4
e) 3
53
c) 5
60
47
47
60
60
Q534. 534.596 + 61.472 – 496.708 = ? + 27.271
a) 126.631
b) 72.089
c) 62.069
d) 132.788
e) 82.089
Q535. 16 × 12 – 672 ÷ 21 = ? – 211
a) 381
b) 347
c) 371
d) 311
e) 391
Q536. 12.28 × 1.5 – 36 ÷ 2.4 = ?
a) 3.24
b) 7.325
c) 6.42
d) 4.32
e) 3.42
Q537. 56% of 958 + 67% of 1008 = ?% of 2000
a) 60.592
b) 47.622
c) 42.86
d) 91.455
e) 49.592
Q538. 515.15 – 15.51 – 1.51 – 5.11 – 1.11 =?
a) 491.91
b) 419.91
c) 499.19
d) 411.19
e) 391.91
4
of 616 × 12 ÷ 8+? = 13 × 21 + 71 + ×?
3
a) 7005
b) 7.005
c) 70.05
d) 700.5
e) 600.5
Q523. 3.5% of 40 + 3.5% of 80 =? % of 10
a) 49
b) 56
c) 64
d) 66
e) 42
Q524. 42.8 × 13.5 × 16.2 × ? = 2340.09
a) 0.15
b) 0.25
c) 0.5
d) 0.75
e) none of these
Q525. 486 ÷ ? × 7392 ÷ 66 = 1008
a) 53
b) 52
c) 55
d) 54
e) none of these
1
4
Q539. 16 % of 3500 ÷ √784 = (? )3
5
a) 9,571
d) 9,261
b) 9,921
e) 9442
c) 9,252
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
34
@Crossword2022
Q540. 225% of 5468 – 87% of 3700 =?
a) 9,218
b) 9,368
d) 9,628
e) 9448
Q541. 1532+ 857 + 496 – ?= 2005
a) 880
b) 870
d) 788
e) 780
Q542. 19.2 × 6 + 8.9 – 13.3 =? + 37.9
a) 75.7
b) 81.6
d) 72.9
e) 85.2
Q543.
67
3
Q553. 1331 × 121 × 0.11 = (1.1)? × 11000
a) 5
b) 7
c) 4
d) 3
e) 8
Q554. 9.6 ÷ 0.24 × 2.5 + 150 =?
a) 255
b) 250
c) 260
d) 265
e) 245
c) 9,084
c) 980
Q555.
c) 74.8
a) 211
b) 210
d) 212
e) 216
Q556. 999 ÷ 3000 + 8888 ÷ 4400 =?
a) 2.353
b) 23.53
d) 235.3
e) 3.253
% of 2100 + 32% of 350 =? – 207
a) 878
b) b)788
c) 877
d) 792
e) 787
Q544. 40% of 1625 – 220 of 16 ÷ 40 = ? ÷ 4
a) 2224
b) 2248
c) 2264
d) 2280
e) 2296
Q545. 1280 of 40% + 1540 of 20% = ?2 + 91
a) 17
b) 25
c) 27
d) 23
e) 33
Q546. 412 + 25% of 1200 = ? + 1111
a) 690
b) 870
c) 1260
d) 1020
e) 1380
Q547. {(420 ÷ 28)% of 1400} ÷ 7 = ?
a) 35
b) 20
c) 15
d) 30
e) 25
Q548. (450 + 242) ÷ 2 = ? + 223
a) 145
b) 290
c) 230
d) 310
e) 195
2
1
1
1 2  ? 2
5
7
2
Q549.
a) 3 3
b) 3 4
d) 1 17
e) 1 3
70
70
Q550.
35
? % of 325  26
Q557.
c) 208
c) 0.2353
21.16  6.25  ?  10.24
a) 3.8
d) 7.6
1331 11
b) 8.3
e) 6.8
c) 9.6
0
?
Q558. ?3 –
a) 8
b) 9
c) 14
d) 12
e) 11
Q559. 233% of 30 + 153% of 70 – 87% of 200 =?
a) 8
b) 6
c) 4
d) 5
e) 3
Q560. 5.6 × 2.8 + 6.3 × 0.9 – 2.5 × 1.5 =?
a) 15.6
b) 16.7
c) 19.4
d) 17.6
e) 1.76
Q561. 115% of 4880 – 85% of 1640 =?
a) 4218
b) 4368
c) 4448
d) 4628
e) 4828
Q562. 3251+ 587 + 369 –? = 3007
a) 1250
b) 1300
c) 1375
d) 1400
e) 1200
c) 2 3
70
70
2
3136  625  ?
3
Q563. √9261 × √7056 = ? +89
a) 1475
b) 1875
c) 1680
d) 1675
e) 1275
Q564. 18.6 × 3 + 7.2 – 16.5 =? + 21.7
a) 35.7
b) 21.6
c) 24.8
d) 27.6
e) 23.6
Q565. 5.35 + 4.43 + 0.45 + 45.34 + 534 =?
a) 597.27
b) 589.57
c) 596.87
d) 596.67
e) 696.67
a) 8
b) 11
c) 9
d) 7
e) 15
Q551. 53457 + 19743 – 49850 =?
a) 24,350
b) 23,350
c) 25,330
d) 23,550
e) 23,840
Q552. 13.57 + 29.49 + 23.46 =? + 50.79
a) 16.73
b) 13.73
c) 12.73
d) 15.73
e) 17.37
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
35
@Crossword2022
Q566. √360 − 225 × 2 + 379
a) 17
b) 19
c) 279
d) 289
e) None of these
Q567. 93 × 812 ÷ 273 = (3)?
a) 3
b) 4
c) 5
d) 6
e) None of these
Q568. (√324 of √1225 ÷ √441) of 180% = ?
a) 18
b) 36
c) 54
d) 72
e) 90
1
5
7
2
6
12
Q569. 4 − 2 =? −1
1
a) 3
d) 3
Q570.
4
3
b) 3
5
12
c) 2
Q580.
7
12
4
%of 126  ? 9  8
7
5
2
2
9
3
3
of 6
a) 17
d) 13
578
a) 50
d) 45
+5
4
13
×2
6
23
=?
b) 30
e) 15
400
3
+ 78% 𝑜𝑓
c) 40
300
2
=?
b) 18
e) 19
b) 55
e) 40
c) 15
?
7
of 63 –
3
17
of
c) 60
Q589. √2401 + √1024 = ?2
a) 7
b) 9
c) 8
d) 6
e) 11
Q590. 37750 ÷ 50 + 41455 ÷ 5 + 27540 ÷ 20 = ?
a) 10652
b) 10523
c) 10423
d) 11020
e) 9985
e) 190
3
17
Q587. √81% 𝑜𝑓
12354=?
a) 1838
b) 1883
c) 1683
d) 202
e) 1388
5
Q577. √108% 𝑜𝑓 75 + 32 × 5 + 2 + 45% of 460 =?
a) 410
b) 120
c) 210
Q578. 4
5
5
Q588. ? % of 300 + 45% of 440 =
7
2
c) 534
e) 104.42
a) 25
d) 20
Q576. 77 % of 3456 + 66 % of 1881 – 16 % of
3
b) 544
e) 634
2
Q586. 3 𝑜𝑓 5
e) None of these
d) 310
of? = 48% of 550 + 36% of 750 – 40% of?
Q583. √576 ÷
× 7.4 + (7)3 − 231 = ?
a) 123.9
b) 121.1
c) 111.4
d) 122.1
e) 123.1
Q584. [(84)2 ÷ 28 × 12] ÷ 24 = 7 ×?
a) 15
b) 17
c) 18
d) 21
e) 24
Q585. (7.9% of 134) – (3.4% of 79) = ?
a) 8.1
b) 7.9
c) 8.6
d) 7.3
e) 6.8
(2/5)(32% of 4500 – 440) = ? × 8
a) 50
b) 45
c) 30
d) 25
e) 20
Q575. 4848 ÷ 24 × 11 – 222 = ?
a) 200
b) 2444
c) 2000
8
5
(4)2
Q574.
3
3
d) 92.32
a) 24
b) 28
c) 26
d) 30
e) None of these
Q573. (5/8) × 3200 + (4800 ÷ 25) = ?
a) 1776
b) 1280
c) 1850
d) 2532
e) 2192
d) 115
e) 13376
c) 9736
Q581. (2 × 3)3 ÷ (4 × 9)2 × (27 × 8)2 = (6)?
a) 5
b) 6
c) 3
d) 8
e) 7
Q582. 454.58 − 376.89 + 121.45 − 95.42 = ?
a) 102.22
b) 103.72
c) 91.72
a) 52
b) 68
c) 72
d) 78
e) 86
Q571. (14/23) of 529 × 225 ÷ 15 – √484 = ?
a) 4672
b) 4712
c) 4752
d) 4784
e) 4808
1
3
d) 10736
a) 438
d) 435
(√16)8 ÷ (64)2 + (27)4 ÷ (√81)4 of (9)2 = ? ÷ 4
Q572. 53 % of 120  28
b) 11736
Q579. 981 ÷ 3 × 5 + 105 – 54 % of 1645 =?
a) 851.7
b) 85.17
c) 8.517
d) 8517.7
e) 751.7
e) None of these
4
a) 12215
of 360 – 32% of 950 =?
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
36
@Crossword2022
Q591. 63% of 210 + 47% of 310 – 30% of 175 = ?
a) 224
b) 225.5
c) 220
d) 227.5
e) 228.5
Q603.
3
7
17
b) 1000
e) 975
102
of
133
c) 980
7
16
a) 9
5
5
24
1
3
𝑜𝑓 57
=?
b) 17
48
d) 13
–4
7
48
e) 11
2
c) 11
41
5
1
48
2
3
3
5
24
Q598. 33 % of 243 + 66 % of 345 =?
Q599.
5
7
2
6
12
a) 315
b) 311
d) 317
e) 320
6÷60+66÷6000+66÷600000
2÷20+222÷20000+1
a) 10
b) 1
d) 100
e) 0.01
2
2
Q600. 9 − 7 + 67 = 𝑥 + 43
a. 43
b. 39
d. 47
e. 35
c) 309
Q611.
1170
a) 14
b) 15
d) 11
e) 16
Q602. 65% of 240+ ? % of 150 = 210
a) 45
b) 46
d) 36
e) 38
c) 0.1
c. 33
11
13
4
3
4
b) 3
e) 4
5
12
c) 2
7
12
1
4
3
√5832 × √361 = 18% 𝑜𝑓 190 × ?
a) 12
b) 10
c) 8
d) 9
e) 15
Q612. ? % 𝑜𝑓 50 + 25% 𝑜𝑓 444 = 202
a) 182
b) 122
c) 142
d) 162
e) 172
Q613. (0.064) ÷ (0.16)3 × (0.0256) = (0.4)?+1
a) 0
b) 1
c) –1
d) 2
e) None of these
Q614. 1425 + 8560 + 1680 ÷ 200 = ?
a) 58.325
b) 9973.4
c) 56.425
d) 9939.4
e) 9993.4
Q615. 75% of 1240 = 35% of 1560 + ?
a) 384
b) 394
c) 456
d) 364
e) 374
=?
Q601. 79% of 500 + 113% of 700 = ?2 +
1
c) 252
Q605. 99.9 + 9.99 + 0.99 + 99.09 + 9.09 + 999 = ?
a) 1123.06
b) 1218.06
c) 1345.06
d) 1440.06
e) 1216.06
Q606. ? = 4200 + 3/8 of 480
a) 4390
b) 4480
c) 4380
d) 4480
e) 4580
Q607. 580 + 24 × 0.25 − 3 = ?
a) 580
b) 586
c) 583
d) 593
e) 563
Q608. 75% 𝑜𝑓 1228 + 45% 𝑜𝑓 400 = ?
a) 1201
b) 1101
c) 1301
d) 1501
e) 1001
Q609. 1520 + 18420 + 1680 ÷ 80 =?
a) 19951
b) 19971
c) 11981
d) 11941
e) 19961
Q610. ? % 𝑜𝑓 6300 = 225 − 44% 𝑜𝑓 225
a) 4
b) 5
c) 2
d) 3
e) 6
a) 8100
b) 3600
c) 6400
d) 6436
e) 6600
Q596. (0.7) × (4.9) × (0.343) = (0.7)? × 10
a) 6
b) 7
c) 8
d) 4
e) 5
8
b) 756
e) 368
1
d) 3
of 304 = ?
Q595. √? – 423 ÷ 9 × 13 + 11% 𝑜𝑓 5000 =
7
5
(a)3
a) 92
b) 88
c) 94
d) 96
e) 98
Q594. 341.46 + 273.43 + 583.11 – 881 = ?
a) 321
b) 317
c) 319
d) 313
e) 314
Q597. 9 + 5
2
of 1 of 75% of 540 = ?
Q604. 4 − 2 = ? −1
7
Q593.
3
a) 378
d) 332
Q592. ? of – 42% of 250 = 315
a) 970
d) 985
2
of
c) 13
c) 32
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
37
@Crossword2022
Q616. 555.05 + 55.50 + 5.55 + 5 + 0.55 = ?
a) 621.65
b) 655.75
c) 634.85
d) 647.35
e) 631.65
Q617. 2151.46 + 5437.54 – 6795 =?
a) 974
b) 794
c) 796
d) 790
e) 792
Q618.
2
5
3
4
4
7
Q630. (292 – 71% of 1100 – 13 × 12 + 12 × 11) = ?
a) 16
b) 26
c) 34
d) 36
e) None of these
Q631. ? = 120% of 25% of 150% of 900
a) 505
b) 650
c) 500
d) 405
e) 385
Q632. 56% of 225 + 20% of 150 = ? – 109
a) 49
b) 103
c) 53
d) 47
e) 265
Q633. 68% of 625 + ? % of 185 = 499
a) 42
b) 40
c) 28
d) 25
e) 32
of 215 + of 128 – of 147 =?
a) 94
b) 96
c) 98
d) 92
e) 100
Q619. 56% of 700 + 64% of 900 – 40% of 290 =?
a) 848
b) 852
c) 850
d) 854
e) 846
Q620. 7777 ÷ 11 + 888 ÷ 6 =?
a) 855
b) 857
c) 853
d) 850
e) 852
Q621.
Q634.
a) 160
b) 120
c) 180
d) 140
e) 100
Q635. (2400 ÷ 20 ÷ 4 ÷ 5) × 25 = ? × 3
a) 50
b) 60
c) 25
d) 40
e) 35
Q636. 36% 𝑜𝑓 245 − 40% 𝑜𝑓 210 = 10− ?
a) 4.2
b) 6.8
c) 4.9
d) 5.6
e) 5.8
Q637. 39% of 450 + 51% of 340 – 40% of 255 =?
a) 264.9
b) 246.9
c) 236.9
d) 242.9
e) 251.7
2
5
7
2
Q638. 3 + 4 + 5 =? +7
3
3
√1331 × 11 % of 14300 =?
a) 426
d) 429
b) 427
c) 431
e) 432
Q622. √?× √3025 = 2695
a) 2401
b) 2209
c) 2601
d) 2304
e) 2400
Q623. (98)2 + (? ) = (150)2 − (80)2 − 737
a) 6084
b) 5759
c) 5777
d) 6724
e) 5658
Q624. 48 + 8 × 0.75 – 5 =?
a) 22
b) 36
c) 49
d) 56
e) 46
Q625. 18.657 – 7.549 – 4.111 – 1.630 =?
a) 4.673
b) 6.893
c) 6.562
d) 5.367
e) 6.367
Q626. 2950 ÷ 12.5 + 160 =?
a) 392
b) 390
c) 396
d) 394
e) 400
Q627. ?1/6 = (1248 ÷ 24) ÷ (13 × 2)
a) 64
b) 256
c) 216
d) 32
e) 128
Q628. 39% of 85% of ? = 13% of 17% of 285
a) 29
b) 19
c) 17
d) 21
e) 25
5
a) 9
7
b) 7
e) 5
69
47
c) 6
70
41
37
70
70
Q639. 67% of 700 + 73% of 510 – 52% of 220 =
?
10
a) 6369
b) 6269
c) 7629
d) 7269
e) 7379
Q640. 3564 + 3486 ÷ 10 + 57434 ÷ 100 – 67385
÷ 100 =?
a) 3813.09
b) 3138.09
c) 3613.09
d) 3713.09
e) 3513.09
Q641.
?
5
3
15
4
17
of of
a)
d)
?
b) 9
e) 11
10
20
43
d) 11
Q629. ?3 – 1331 11  0
a) 8
d) 12
7
47
2
21
1
23
of
13
6
of 544 = 7
b)
e)
8
21
5
3
7
c)
1
21
23
Q642. 346.64 ÷ 4 + 440 ÷ 2.2 + 46% of 550 =?
a) 544.66
b) 539.66
c) 439.66
d) 343.66
e) 493.66
c) 14
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
38
@Crossword2022
Q643.
3
√(40% 𝑜𝑓 640 + 208.6 + 264.4) +
Q655. √√4900 + √5476= ?
a) 576
b) 144
4
56% 𝑜𝑓 900 = 𝑜𝑓 ?
5
a) 441.25
d) 641.25
4
b) 541.25
e) 741.25
3
?
5
6
Q644. 3 𝑜𝑓 5 𝑜𝑓 2 = 55
7
a) 4
d) 7
2
b) 6
3
2
e) 4
3
d) 16
c) 645.25
Q656. (6.5% of 375) – (0.85% of 230) =?
a) 23.42
b) 24.24
c) 21.64
5
9
2
c) 8
3
1
d) 25.76
2
3
3
Q645. 49 × 546 ÷ 6 + 243 – 534 =? – of 465
5
a) 4474
b) 4847
c) 4347
d) 4664
e) 4447
Q646. 5555 ÷ 11+ 6666 ÷ 33 + 888888 ÷ 220
=? – 1.121 × 4
a) 4651.884 b) 4571.884
c) 4751.884
d) 4951.864 e) 4451.488
Q647. 7² + 34 – 4³ =? – 11²
a) 55
b) 196
c) 172
d) 187
e) 178
2
1
4
3
2
d) 4
7
12
5
12
b) 6
e) 7
11
12
5
c) 3
a) 16.441
b) 17.543
d) 17.440
e) 17.590
c) 17.490
Q658. If √80656 = 284, then √8.0656 =?
a) 28.4
b) 2.84
d) 0.284
e) 4.084
c) 0.0284
Q659. If x = 3.2 and y = 4, what is the value 5x+4y
𝑥
+3 ( ) ?
𝑦
a) 35.2
b) 34.4
c) 32.8
d) 18.4
e) 28.4
2 (14)2
Q660. ? +
× 18 ÷ 6 − 1029 = 80 × (12 − 7)
Q648. 1 + 2 + 2 = ?
a) 9
e) 22.42
Q657. 13.141 + 31.417 – 27.118 =?
3
3
c) 256
e) 12
1
a) 25
b) 841
d) 27
e) 29
12
Q661.
12
6
?
√128
=
√162
?
Q649. 35% of 42% of th of 500 =?
a) 12
b) 144
a) 36
b) 44
c) 52
d) 60
e) 63
Q650. 8888 + 848 + 88 - ? = 7337 + 737
a) 1750
b) 1650
c) 1550
d) 1450
e) 1250
Q651. 414? × 7 = 127512
a) 36
b) 40
c) 44
d) 48
e) 52
Q652. 3.2% of 500 × 2.4% of ? = 288
a) 650
b) 700
c) 600
d) 750
e) 850
Q653. (– 251 × 21 × (– 12)) ÷ ? = 158.13
a) 250
b) 400
c) 300
d) 15
e) 18
Q654. [(130)2 ÷ 25 × 15] ÷ 30 = ?
a) 352
b) 314
c) 326
d) 338
e) 426
d) 196
e) 28
7
c) 729
c) 14
Q662. [(5√5 + √5) × (4√5 + 8√5)] − (19)2 =?
a) – 1
b) 1√5c) 1
d) −1√5
e) 11
Q663. (4444 ÷ 40) + (645 ÷ 25) + (3991 ÷ 26) =?
a) 280.4
b) 290.4
c) 295.4
d) 285.4
e) 258.5
Q664. (? )3 ÷ 32 = 54
a) 318
b) 12
c) 14
d) 16
e) 24
1
5
5
4
17
9
27
8
1
Q665. 1 + 1 × 1 ÷ 6 =?
a)
8
b)
56
2
23
3
36
d) 18 e) 1
Q666.
2
c) 42
21
23
√52 × 14 − 6 × 7 + (4)? = 18
a) 1
b) 3
d) 5
e) 2
c) 4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
39
@Crossword2022
Q680. 0.03 × 0.01 – 0.003 ÷ 100 + 0.03 =?
a) 0.03027
b) 0.0327
c) 0.3027
d) 1.03027
e) 0.003027
Q681. 17 × 25 – 240 +? ÷ 41 = 354
a) 6299
b) 6929
c) 9629
d) 7129
e) 6992
Q682. 24% of 1500 – (1144 ÷ 11) = ?2
a) 4
b) 8
c) 14
d) 16
e) 24
Q667.
a) 100
b) 120
c) 80
d) 140
e) 160
Q668. {132 + √5625}/(? + 4) = 23
a) 0
b) 6
c) 4
d) 8
e) 5
Q669. 12 × 4? – 75 × 40 = 72
a) 3
b) 4
c) 2
d) 1
e) 5
Q670. [(84)2 ÷ 28 × 12] ÷ 24 = 7 ×?
a) 15
b) 17
c) 18
d) 21
e) 24
Q671. √361 + √324 – √576 = 20% of ?
a) 60
b) 65
c) 70
d) 75
e) None of these
Q672. 42% of 26% of ? = 39% of 18% of 280
a) 290
b) 180
c) 170
d) 120
e) 160
Q673. 36865 + 12473 + 21045 – 44102 =?
a) 114485
b) 28081
c) 26281
d)114845
e) 79821
Q674. 452 – 83% of 900 – 17 × 33 + 10 × 11 = ?
a) 847
b) 827
c) 789
d) 869
e) None of these
Q675. 60% of 3200 + 40% of ? = 1984
a) 160
b) 150
d) 180
e) 170
Q683. 30% of
Q684. (
b) 4
e) 8
b) 12
d) 11
3
1
1
3
17
7
6
7
2
c) 140
c) 815
c) 9
Q679. 2 + 3 × 4 ÷ 7 =?
a)
8
d) 8
2
3
b) 4
e) 3
3
1
c) 4
of
2
of
5
2
3
of 9450 =?
)
−2
5
+(
1
343
)
−2
3
7
5
1
9
3
9
c) 42
=?×5
c) 13
c) 295
1
13
45
17
45
5
17
b) 3
e) 4
45
13
c) 4
16
45
45
Q687. 7960 + 2956 − 8050 + 4028 = ?
a) 6984
b) 6884
c) 6894
d) 6954
e) 7894
Q688. 25 × 3.25 + 50.4 ÷ 24 = ?
a) 84.50
b) 83.35
c) 83.53
d) 82.45
e) 92.84
Q689. 350% of ? ÷ 50 + 248 = 591
a) 4900
b) 4890
c) 4850
d) 4950
e) 4750
Q690. 813 ÷ 276 × 94 = 3?
a) 1
b) 2
c) 3
d) 4
e) None of these
Q691. (833.25 − 384.45) ÷ 24 = ?
a) 1.87
b)20.1
c) 2.01
d) 18.7
e) 16.7
Q692. 76.8 × 50 = ?% of 2000 + 145% of 800
a) 144
b) 114
c) 134
d) 138
e) 124
e) 15
2
9
b) 36
e) 52
1024
d) 4
d) 800
e) 820
Q678. (? )4 ÷ 27 = 243
a) 8
1
a) 2
c) 12
b) 805
2
Q686. 1 + 2 + 3 − 4 = ?
Q677. 46% of 450 +? % of 19.07 = 359.56
a) 795
of
a) 65
b) 42
d) 21
e) 27
Q685. 30% of ? = 38 + 147/ 3
a) 290
b) 312
d) 281
e) none of these
2
d) 2
7
a) 32
d) 48
Q676. (2√392 – 21) + (√8– 7) = (? )2
a) 6
2
1
3
4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
40
@Crossword2022
Q693. 643 = (150% of ?) ÷ √1024 + 73
a) 3200
b) 4800
c) 6000
d) 5600
e) 6400
Q694. 62.5% of 12000 – (122 × ?2) = 444
a) 4
b) 5
c) 6
d) 7
e) 8
2
Q695. 3(26) ÷ 13 = {(40% of 3640) ÷ ?
a) 26
b) 2 6
c) 24
d) 28
e) 32
Q696. (1/12) of 84 + 123 - ? = 10 + 40
a) 80
b) 95
c) 70
d) 50
e) 120
Q706. √7744 + √3136 = ?2
a) 12
b) 14
c) 18
d) 16
e) 20
Q707. 5431 + 4687 – 8462 =?
a) 1565
b) 1656
c) 1645
d) 1675
e) None of these
Q708. 31% of 500+ 41% of 1100 – 50% of 790 = ?
a) 230
b) 221
c) 211
d) 255
e) None of these
Q709. 1107 ÷ 9 × 6 + 236 – 874 = ?
a) 110
b) 105
c) 100
d) 120
e) 112
Q710.
3
4 2
Q697. 159 × 96 = ?
7
9
a) 104
b) 98
d) 124
e) 92
Q698. 124.56 + 79.44 + 516 = ? × 30
Q699.
a) 18
b) 32
d) 24
e) 36
b) 15
d) 30
e) 25
4
of
4
27
of
18
11
a) 470
d) 486
c) 114
Q711.
4
3
17
c) 28
Q712.
3
8
of √4913 +
7
15
c) 465
3
of √3375 = ?
b) 11
e) None of these
c) 9
of 168 × 15 ÷ 5+? = 549 ÷ 9 + 235
a) 163
d) 126
b) 199
e) 136
Q713. 11 × 34 +
c) 35
of 2673 = ?
b) 450
e) None of these
a) 13
d) 15
3
4
7 ×10 + 2 × 30 = ? ×8
5
5
a) 20
3
1
?
c) 107
of 385 − 1698 ÷ 6 = 685
a) 5
b) 4
c) 8
d) 6
e) 9
Q714. (? )2 − 364 ÷ 7 × 6 + 289 = 26 × (121 + 72)
a) 95
b) 89
c) 83
d) 71
e) None of these
Q700. (1/15) of {(3/8) × 360 + (7/9) × 405} = ?
a) 40
b) 25
c) 30
d) 35
e) 20
Q701. 1701 ÷ 2100 + 3087 ÷ 6300 + 832 ÷ 5200 =?
a) 1.0019
b) 101.9
c) 0.1019
d) 10.19
e) 1.46
Q715.
1
1
(4913)3
a) 5
d) 8
Q702. 185% of 400 + 35% of 240 =? % of 1648
a) 85
b) 75
c) 125
d) 50
e) 55
Q703. √244 + 224 = ? × 20²
a) 20
b) 4
c) 2
d) 16
e) 24
Q704. 2.8 × 1.5 + 8% of 250 =?
a) 24.2
b) 24.02
c) 242.2
d) 2.42
e) 22.24
Q705. 160% of 250 +? = 120% of 400
a) 160
b) 40
c) 80
d) 120
e) 140
2
of 1411 + 583 ×? = 16 % of 14490
3
b) 6
e) 4
2
c) 7
1
Q716. 14 % of 27048 ÷ √576 = (? )2
7
a) 25571
b) 25921
d) 25481
e)24481
Q717. 668 ÷ 167 × 284 = ?
a) 1156
b) 1136
d) 1116
e) 2116
Q718. 60% of 25% of 5/6 of ? = 630
a) 5060
b) 5200
d) 4500
e) 5040
c) 25252
c) 1096
c) 4880
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
41
@Crossword2022
Q719. (85410 + 36885 + 24705) ÷ 1600 =?
a) 90.25
b) 94.386
c) 95.50
d) 91.875
e)85.275
Q720. 4.5 + 23.50 + 14.58 − 17.68 × 0.5 =?
a) 33.74
b) 21.29
c) 35.06
d) 24.48
e) 28.48
Q721. (3675 ÷ 75) × (7480 ÷ 80) =?
a) 4394.5
b) 4301
c) 4581.5
d) 4114
e)3774
Q722. 1 + 222 ÷ 20 + 4444 ÷ 400 =?
a) 25.21
b) 23.21
c) 29.23
d) 31.23
e) 33.21
Q723. 12 +
(a) 15
(d)14
1
3
1
2
3
4
of 9 ­
1
2
Q732. 66 2 %of 1248  33 1 %of 2244  ? 25 15
3
Q733. 7
(e) 16
1
2
1
(c) 14
b) 1225
e) None of these
c) 1275
13
2
× 400 - 7 × 225 = ?%of15000
16
9
a) 10
d) 25
b) 20
e) 98
c) 15
Q734. 32 1 %of 3000  22 1 %of1500  ? 33 1 %of 432
2
2
3
a) 1168.5
b) 1198.5
c) 1158.5
d) 1178.5
e) None of these
Q735. 45% of 780 + 70% of 1020 = ? + 125
a) 720
b) 850
c) 940
d) 640
e) 800
=?
(b) 13
3
a) 1205
d) 1175
1
2
7
7
8
16
Q736. 9 + 5
2
a) 9
Q724. 36% of 125 + 44% of 225 = ?
a) 144
b) 152
c) 140
d) 136
e) 126
Q725. 235.4 + 371.8 + 253.8 = ?
a) 851
b) 881
c) 861
d) 867
e) 651
Q726. ? % of 400 + 31% of 600 = 50% of 820
a) 52
b) 56
c) 64
d) 48
e)36
Q727. 14.2% of 11000 + 15.6% of ? = 3590
a)12000
b)13000
c)14560
d)12250
e)13500
5
5
24
=?
b) 17
48
d) 13
–4
7
48
e) 11
2
41
5
c) 11
5
24
48
Q737.
1900 – 75% of 680 + ? = 1540
a) 210
b) 190
c) 250
d) 180
e) None of these
Q738. 150% of 220 + 120% of 140+? = 850
(a) 342
(b) 355
(c) 352
(d) 360
(e) 370
Q739. 30% of 340 − 70% of 110 = 65− ?
(a) 30
(b) 50
(c) 45
(d)40
(e) 55
Q740. [7 × (4.4 + 8.6)] − (8)2 =?
a) 27
b) 30
c) 23
d) 35
e) 33
2 1
1
1 2  ? 2
5
7
2
Q741.
3
4
3
3
70
35
a)
b)
Q728.
a) 3
b) 12
c) 5
d) 10
e) 6
Q729. 9 × 7 – ? = 13 × 12 – 15 × 7
a) 12
b) 46
c) 78
d) 114
e)None of these
Q730. ? – (15% of 600) ÷ 10 = 30% of 520
a) 125
b) 165
c) 205
d) 245
e) None of these
Q731. 22 × 22 – 14 × 18 = ? × 4
a) 48
b) 58
c) 68
d) 78
e) None of these
17
d) 70
1
3
70
c)
2
3
e) 70
1
Q742. 64 + 60 ÷ (30 ÷ 3) = (?) ÷ 20
a) 1440
b) 1400
c) 1600
d) 1540
e) 1660
Q743. 1251/3 × 271/3 × 1254/3 = 15 × 5?
a) 5
b) 3
c) 1
d) 2
e) 4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
42
@Crossword2022
Q744. 125% of 3060 = 408 + 85% of (?)
a) 4020
b) 4010
c) 4818
d) 4221
e) 4515
Q745. [(37.5 × 19.2) ÷ 18 + 21.50 ÷ 4.3] = ? × 15
a) 5
b) 4
c) 6
d) 2
e) 3
Q746. 338.40 ÷ 42.3 + 25% of 4200 ÷ 100 = ? +
246.5 ÷ 29
a) 12
b) 11
c) 10
d) 1
e) 13
8
(d)
Q752.
5
3
4
(b)
(e)
5
4
(c)
a) 396
4
5
3
c) 65
c) 1840
9
b) 366
45
17
(e)4
45
17
(c) 4
45
13
16
45
45
b) 150
e) None of these
1
3
1
3
18
7
5
5
7
35
=
c) 100
35
?
a) 3
b) 5
c) 7
d) 9
e) 11
Q761. (23)2– (2564% of 25)+(18.75% of 1984)
= ?% of 130
a) 250
b) 100
c) 200
d) 50
e) 150
Q762. {(18 × 24) ÷ (42 – 15)} × 4 = √? + 72
a) 36
b) 25
c) 64
d) 49
e)81
Q763. (192 ÷ ?) × 15% of 400 = (192 ÷ 16) × 80
a) 12
b) 18
c) 10
d) 6
e) 24
Q764. (2/5){(3/5) × 750 + 40% of 375} = ? × 16
a) 20
b) 24
c) 15
d) 12
e) 18
Q765. (42% of 1500 – 230) ÷ 25 = ? ÷ 4
a) 64
b) 32
c) 48
d) 24
e) 76
Q754. 57 1 % of 315  11 1 %of 1080  ? 56  6
7
5
(b) 3
Q760. 3 + 2 + 7 − 5 −
(182 + 20% of 450 - √196)= ? × 10
a) 40
b) 25
d) 80
e) 120
Q753. 45% of 2500 + 125% of 900 = ?
a) 2250
b) 2560
d) 2050
e) 2140
13
a) 120
d) 180
3
(a)
1
Q759.
4
2
9
Q757. (3.7)–3 × (13.69)–2 × ( 1 / 50.653 )
÷ ( 13.69 )-5 = ( 3.7)?
a) 0
b) 3
c) 2
d) 1
e) None of these
Q758. 17.8% of ? = 427.2 × 8.4% of 135
a) 28120
b) 27216
c) 24378
d) 21784
e) None of these
of 616 × 12 ÷ 16+? = 17 × 19 + 81 + ×?
3
1
3
(d) 4
3
7
5
9
(a) 2
Q747. √3969 − √2209 + 9 = √68921−?
a) 12
b) 13
c) 14
d) 15
e) 16
Q748. √441 × 5 + 20% of 675 = ? × 6
a) 20
b) 40
c) 55
d) 35
e) 60
Q749. 26% of 550 + 3/7 of 287 - ? = √2025 + 17
a) 238
b) 196
c) 224
d) 204
e) None of these
Q750. ? = 25% of 20% of 40% of 8200
a) 162
b) 164
c) 168
d) 166
e) 160
Q751.
7
Q756. 1 + 2 + 3 − 4 = ?
2
3
Q766. 12  324  34% of 1450 =?  280
c) 360
d) 356
e) none of these
2
Q755. (37) = ? + [(11√3 + 5√3) × (9√3 +
11√3)]
a) 415
b) 409
c) 406
d) 411
e) None of these
1/2
a) 361
b) 441
d) 144
e) None of these
Q767. (1239 ÷ 21) × (504 ÷ 36) = ?
a) 748
b) 944
d) 912
e)826
c) 225
c) 856
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
43
@Crossword2022
Q768.
Q781. 41% of 400+51% of 700–40% of 890 =?
a) 170
b) 165
c) 160
d) 155
e) 145
Q782. 836 ÷ 4 × 5 + 128 – 768 =?
a) 410
b) 405
c) 400
d) 420
e) 412
1
1
1
8 % of 5700  9 %of1760  11 %of1080  ?
3
11
9
a) 555
d) 515
b) 505
e) None of these
c) 525
Q769. 228 4 %  252  57 1 %of 252  37 1 %of 192  ?
7
7
a) 792
d) 812
2
b) 752
e) None of these
c) 732
Q783.
1
5
2
87 %of 256  45 %of 396  6 %of 960  ?
2
11
3
a) 300
b) 360
c) 320
d) 340
e) None of these
Q771. 75 + 2.5 × 180 – (320 + 130) ÷ 15 = ?
a) 545
b) 520
c) 520
d) 495
e) 620
Q772. 3.6 + 36.6 + 3.66 + 0.36 + 3.0 =?
a) 44.22
b) 77.22
c) 74.22
d) 47.22
e) 57.22
Q773. 23 × 45 ÷ 15 =?
a) 69
b) 65
c) 63
d) 71
e) 81
210
17
Q774.
× × ? = 4046
14
15
b) 218
e) 238
5
1
8
6
2
11
Q775. 4 + 7 − 5
a) 2
d) 6
10
23
10
33
Q784.
e) 8
7
2
33
20
3
5
4
8
b) 350
e) 240
c) 365
Q785. 1 2  2 1  ?  2 1
5
7
3
3
70
a)
2
4
35
b)
3
1
70
e)
3
17
1
d) 70
2
3
c)
1
3
Q786. 16 %of98 + 33 %of56 = ? ÷ 6
a) 200
d) 360
c) 233
1
0
3
70
2
6
7
b) 240
e) None of these
c) 320
4
1
Q787. ( ) + (64)−2 + (−32)5 =?
64
137
c) 2
c) 820
of of of 1920 = ?
5
a)
20
b) 680
e) 720
a) 370
d) 360
=?
b) 6
4
of of 2100 =?
5
a) 560
d) 640
Q770.
a) 202
d) 227
3
20
d)
33
Q788.
33
Q776. 83% of 2350 = ?
a) 1509.5
b) 1950.5
c) 1905.5
d) 1590.5
e) 1850.5
Q777. [5 × 8 + 60 ÷ 4 – 45 + 2] = ?
a) 6
b) 8
c) 10
d) 12
e) 16
Q778. (9/2 + 4) × 8 = ? × 10
a) 7.8
b) 8.8
c) 6.8
d) 5.4
e) 3.5
Q779. 83.33% of 90 + 78 – 168 × 8÷14 = ? + 34
a) 23
b) 32
c) 34
d) 52
e) None of these
Q780. 1920/?2 + 96/6 – 10 = 1/30 + 42/7
a) 120
b) 430
c) 123
d) 320
e) 240
Q789.
Q790.
Q791.
Q792.
34
3
b)
8
141
×
10
8
c)
143
8
e) 15
8
48
139
÷? =
68
3
a) 2.4
b) 4.2
c) 2.6
d) 2.8
e) 3.2
(1.06 + 0.04)2 −? = 4 × 1.06 × 0.04
a) 1.04
b) 1.4
c) 1.5
d) CND
e)1.0404
(0.0258 × 0.0252) ÷ (0.0256 × 0.0252)
= ? ×0.000125
a) 8
b) 5
c) 10
d) 6
e) 4
(15 × 16) + 242= ? × 16
a) 31
b) 45
c) 51
d) 24
e) 40
. ? × 12 + 36% of 750 = 45 × 8
a) 6.5
b) 10
c) 12.5
d) 7.5
e)5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
44
@Crossword2022
Q793. 20% of 360 × ? = 25% of 260 + 655
a) 5
b) 12
c) 15
d) 8
e) 10
Q794. 945 × 256 ÷ 35 ÷ 32 = ?3
a) 6
b) 4
c) 8
d) 12
e) 3
Q795. 16 × (?% of 800) – 696 = 3400
a) 30
b) 22
c) 36
d) 32
e) 24
Q796. (1/5) of 1670 + (1/4) of 2456 – (1/0.5) of 677 = ?
a)-432
b)-684
c)-406
d)568)
e) None of these
Q797. (441/?) = (?/3364)
a)1218
b)1456
c)2457
d)6546
e) 6582
Q798. (0.0144)1/2 + (2.5)2 = ?
a)5
b)11
c)6
d)9
e) 10
Q799. (13824)1/3 + (5776)1/2 =x2
a)20
b)100
c)15
d)10
e) 35
Q800. 23% 520 + ? % 730 = 354
a)40%
b)32%
c)25%
d)37%
e) 50%
Q801. (16)2 + (27)2 – 24 = ?2
a)961
b)41
c)29
d)31
e) 33
Q802. 3((2116)1/2 – 16)) + (62 – 3) 2 = ?
a)968
b)1179
c)867
d)1289
e) 1380
Q803. (550/25) × (2232/17) × (2074/9) = ? × 22
a)30256
b)40657
c)34934
d)34678
e) 36984
Q804. (6×5)2 ÷ 3+300×10 = ?
a)3300
b)3100
c)3000
d)3030
e) 3694
Q805. 645×(256)1/2 × 85.74 = 63 × 8?
a)1
b)4
c)2
d)3
e) 7
Q806. (25% of 890 + 45% of 980) ÷ 6 = ?
a)110.6
b)110.4
c)116.4
d)114.6
e) 112.5
Q807. (16/100) × 1440 + (49/100)×549 =100+?
a)399.41
b)499.41
c)349.41
d)494.41
e) 543.62
Q808. 4(2/3)+6(7/5)-11(5/3)+3(4/7) = ?
a) 2(103/105) b) 2(102/105)
c) 2(105/103) d) 2(105/102)
e) None of these
Q809. (124÷23) + (56×76) – (45÷ 2.4) = ?
a) 4242.61
b) 4242.62 c) 4242.63
d) 4242.64
e) None of these
Q810. (7.84)1/2 × (47.61)1/2 – 92161/2 = ?
a)- 78.68
b)- 78.86
c)- 76.68
d)- 78.68
e) None of these
Q811. 7/11 of 6908 − 4/9 of 7704 = ? × 72
a) 9.33
b) 13.5
c) 17
d) 21.5
e) 22.5
Q812. (50² + 30² ) ÷ 6400 = ?
a) 17/20
b) 17/32
c) 17/36
d) 17/46
e) 13/41
Q813. (5)³ – (3.75)³ – (1.25)³– 3(3.75) (6.25) = ?
a) 0
b) 1
c) -1
d) -2.5
e) 2.5
Q814. 8(2/7) + 30% of 60 + 10(5/9) = ?
a) 32
b) 34
c) 37
d) 44
e) 41
Q815. √224 x 12.05 + ³√342 x 4 = ?
a) 2018
b) 168
c) 208
d) 226
e) 145
Q816. (216)1.3 × (36)1.8 ÷ (6)0.5 = (6)?
a) 5
b) 4
c) 7
d) 3
e) None of these
Q817. 23 × 2 (45 – 15) + 168 ÷ 4 ÷ 2- (11)2 =?
a) 685
b) 1410
c) 1080
d) 1280
e) None of these
Q818. 48% of 2500a) 1050
d) 1000
Q819.
73 ×8
80
√196
3
-15% of
b) 1100
e) 1200
=?
c) 1500
3
√123 + 2744 ÷ 72 – 29 + 232 + 50 = ?
a) 8
d) 5
b) 7
e) 6
c) 9
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
45
@Crossword2022
Q820. 36% of 450 + √3136 – 18 × 13 = ?
a) – 16
b) 78
c) - 34
d) 16
e) 5
Q834. [(3√8 + √8) x (8√8 + 7√8)] – 98 = ?
a) 352
b) 382
c) 362
d) 372
e) 272
Q835. √(72 x 24 x 2 -(11)³ + 3) = ?
a) 52
b) 32
c) 62
d) 72
e) 64
Q836. 65% of √3136 x 5 = ? + 154
a) 56
b) 28
c) 35
d) 32
e) 18
Q837. √[(√7396+4√2401)+?2] = 100
a)7
b)10
c)12
d)14
e) 16
Q838. (45)2 + (21)2 = (?)2 + 257
a) 51
b) 49
c) 45
d) 47
e) 61
Q839. {(3/2) + (5/8)} × 16 + 116 = ?% of 200
a) 80
b) 40
c) 60
d) 75
e) None of these
Q840. 40% of 375 ÷ 512 × 30 = 4500 ÷ ?
a) 8
b) 10
c) 9
d) 12
e) 15
Q841. 299 ÷ 169 × 11 – 361 = ?2 + 38
a) 11
b) 8
c) 16
d) 14
e) 24
Q842. 94.5 × 512 ÷ 343 ÷ 6.4 = ?2 + 56
a) -56
b) 44
c) 25
d) -32
e) 35
Q843. 86 – (86)2 + 86 × (86 + 86 ÷ 0.86) = ?
a) 9696
b) 8486
c) 8686
d) 6844
e) None of these
Q821.
a) 1500
b) 200
c) 1000
d) 40
e) None of these
Q822. 45% of 800 + 240 ÷ 15 – 19 × 4 = ?
a) 300
b) 320
c) 310
d) 305
e) none of these
Q823. 92 × 22 + 164 – 25 × 16 = ?
a) 78
b) 88
c) 98
d) 108
e) none of these
Q824. 12% of 900 + 13% of 1200 – 816 ÷ 8 = ?
a) 138
b) 162
c) 187
d) 160
e)164
Q825. 594 ÷ 22 + 177 – 16% of 600 = ?
a) 118
b) 108
c) 128
d) 112
e) 130
Q826. (680 + 120) ÷ 16 + ?2 = 182 – 49
a) -15
b) -30
c) -16
d) -20
e) -24
Q827. 360 ÷ 25 × 5 + 72 × 2 = ?3
a) -10
b) -4
c) -6
d) -8
e) -2
Q828. √3249 × √2116 – (38)2 = (?)² + (31)² – 72
a) 21
b) 19
c) 23
d) 17
e) None of these
Q829. {(54 ×15) + 190} ÷ 50 = ? ÷ 7
a) 210
b) 140
c) 70
d) 280
e) 350
Q830. (√3 – 2)2 = ? – √12 – √36
a) 13 – 2√3 b) 13 – 4√3
c) 13 – 6√3
d) 13 – 9√3 e) None of these
(9 ÷ 2 × 27 ÷ 9)
Q831.
=?
3
Q844. 57% of 350 + ?% of 170 = – 89.5 – √512 – 9
a) 210
b) -165
c) -180
d) 190
e) -155
Q845. √529 ÷ ? % of 270 = 115 × √81 ÷ ?2
a) 125.6
b) 121.5
c) 130.4
d) 117.2
e) 23.5
(18 ÷ 7.5 × 5 ÷ 4)
a) 3.5
b) 2.5
c) 5.5
d) 4.5
e) 6.5
Q832. (?)2 + (123)2 = (246)2 – (99)2 – 2462
a) 184
b) 186
c) 182
d) 172
e) 192
Q833. [1280 of 15 ÷ 80 × 5] ÷ 20 = ?% of 600
a) 15
b) 25
c) 20
d) 10
e) 30
Q846.
a) 144
d) 102
b) 124
e) 136
c) 120
a) 1.5
d) 1500
b) 150
e) 30
c) 15
Q847.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
46
@Crossword2022
Q848. 37.5% of 920 + 12.5% of 640 = ? ÷ 5
a) 2025
b) 2150
c) 1845
d) 2125
e) 1625
Q849. [(450 ÷ 8) × 32] ÷ 25 = ? ÷ 3
a) 216
b) 196
c) 256
d) 324
e) 240
Q850. [2640 ÷ 12 of 20 + 15 ÷ 4] × 4 = ?
a) 59
b) 26
c) 39
d) 60
e) None of these
Q851. [(54)2 of 20 ÷ 162] ÷ 15 = ?
a) 12
b) 24
c) 32
d) 36
e) 40
Q852. [(396 ÷ ?) × 160 ÷ 176] = 10
a) 36
b) 16
c) 24
d) 48
e) 12
Q853. 60% of 1500 + 750% of 80 = ? + 124
a) 1524
b) 1276
c) 1624
d) 1376
e) 1276
a) 3
b) 3.5
c) 4.5
d) 5
e) 4
Q862. 1396+412-2704= ? -(31)²
a) 64
b) 71
c) 65
d) 75
e) 68
Q863. 45% of 280 + 72% of 550 = 90% of ?
a) 540
b) 550
c) 580
d) 600
e) 630
Q854.
Q867. 66% of 350 + ? =
a) 20
b) 15
d) 25
e) 10
Q855. (7291/3 + 2891/2)% of 2600 = ?
a) 676
b) 576
d) 724
e) None of these
Q864. (142 – 82 ) ÷ ? × (72 – 42 ) = ? × 400
a) 33
b) 66
c) 6.6
d) 4.4
e) 3.3
Q865. 8
Q858.
Q859.
Q860.
Q861.
×5
6
23
8
× = √484 + √4356
?
a) 11
d) 4
b) 8
e) 2
c) 6
4
1
2
3
1
2
3
2
3
5
2
5
Q866. 7 + 3 + 5 = ? +4 − 7 + 11
a) 10
d) 105
a) 521
d) 568
c) 18
b) 9
e) 11
5
8
c) 95
of 1256
b) 496
e) 544
c) 554
1
2
3
3
3
11
Q868. 33 % of 360 + 66 % of 120 =?× 7
c) 624
a) 22.5
b) 27.5
c) 2.25
d) 2.75
e) 225
Q869. (1600 + 1970) ÷ (825 + 365) = ?
a) 5
b) 3
c) 1
d) 2.25
e) 2.75
Q856.
Q857.
4
11
(a) 5
(b) 0
(c) 2
(d) 3
(e) 7
83 – 162 = ?2 – 400% of 80
a) 36
b) 24
c) 48
d) 66
e) 94
[20% of 360 + 25% of 1440] ÷ 16 = ?
(a) 63
(b) 31
(c) 22
(d) 17
(e) 27
9600 ÷ 25 of 16 + 20 × 15 = ?2
a) 12
b) 18
c) 22
d) 28
e) 8
240 × 30% + 153 = ?2 - 10% of 640
a) 17
b) 12
c) 15
d) 21
e) 18
(3375)3.7 ÷ (225)4.3 × (15)2.5 ÷ (3)5 = (5)?
Q870. 65 = 150% of 200 × 40% of
200
?
a) 1
b) 2
d) 6
e) 37
Q871. √1089 + 9 × 23 = ?% of 120
a) 100
b) 150
d) 200
e)180
Q872. 65% of 600 + 272 = ?2 + 262
a) 18
b) 15
d) 24
e) -16
Q873. (120% of 200 × 2.4) +
a) 757
d) 792
b) 743
e) 634
(242 −142)
2
c) 4
c) 240
c) -20
−
46
2
=?
c) 780
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
47
@Crossword2022
Q887. ? = (3745 + 1780) ÷ 17 + 162 +
Q874. ? 2 % of 11.11% of 256 × 1872 ÷ 2704 = 81
a) 9.75
b) 10.50
c) 11.25
d) 12.75
e) None of these
Q875. 1485 ÷ 27 × 880 ÷ 16 = ?2
a) 55
b) 45
c) 35
d) 15
e) 25
3
2
1
4
3
2
(5/11) of 880 – 15
a) 824
b) 872
c) 938
d) 966
e) 866
Q888. 2516 ×? + 16 × 11 = 2526 + 5198
a) 3
b) 5
c) 7
d) 8
e) 8
Q876. 1 + 2 + 2 = ?
(a) 9
(d) 4
7
(b) 6
12
5
(e) 7
12
11
(c) 3
12
5
1
Q889. 156 ÷ 13 + ∛19683 – (12 × 15) =? − 83
a) 432
b) 415
c) 371
d) 384
e) None of these
12
12
Q877. 450 ÷ 15 × 8 + 90 + 40% of 75 = ? × 40
a) 12
b) 9
c) 24
d) 11
e) 5
Q890.
Q878.
Q891.
a) 144
b) 256
c) 196
d) 100
e) 225
Q879. 414 × ? × 7 = 127512
a)36
b) 40
c) 44
d) 48
e) 52
Q880. 2⁵ + 2¹⁰ = ? × 12
a) 68
b) 72
c) 80
d) 88
e) 96
Q881. √256 + √784 = ? × √121
a) 4
b) 5
c) 3
d) 6
e) 2
Q882. (53 + 480 ÷ 4)% of 20 = ?% of 70
a) 90
(b) 50
(c) 60
(d)40
(e) 70
Q883. 115% of 360 + 180% of 270 = ? × 225
a) 4.5
b) 3
c) 3.25
d) 3.5
e) 4
Q884. 9? × 729 = 3⁴ × 9⁶ ÷ 81
a) 2
b) 3
c) 4
d) 5
e) 6
12
54
18
147
Q885. 40 % of ( ) of (
Q892.
Q893.
Q894.
Q895.
a) 25
b) 40
c) 15
d) 10
e) None of these
Q886. 6(3/4) + 4 (3/8) – 6 (¼) = ? – 5 (½)
e) None of these
1
5
×
4
9
× 3150 + 40% of 7800 =? – 540
a) 3700
b) 5600
c) 4400
d) 3200
e) None of these
318 × 5160 ÷ 43 % of 2400
= 46 × 990 ÷ 15 + ? – 2400
a) 1026
b) 954
c) 1288
d) 1342
e) 820
98 ÷ 14 × 49 − 294 = (? )2
a) –14
b) √7
c) –7
d) 196
e) 156
80% of 250 – 52 = ? + (1331)1/3 + 42
a) 124
b) 136
c) 154
d) 148
e) 164
282 + 24 × 5 – ?2 × 8 = 512
a) 4
b) 3
c) 5
d) 6
e) 7
[{(1152 ÷ 8) ÷ 4} ÷ 2] + √256= ?
a) 30
b) 32
c) 34
d) 36
e) none of these
a) 13-2√3
b) 13
c) 13-4√3
d) 1
e) 6
Q897. [(30)3 ÷ 60 × 24] ÷ 25 = 36 ×?
a) 12
b) 15
c) 18
d) 21
e) 28
Q898. 8493 + 3148 + 955 − ? = 8727 + 963
a) 2932
b) 2923
c) 2906
d) 2942
e) 2755
7
d) 9 (2/3)
×
2
12
b) 12 (3/8)
7
Q896. (√3 − 2) =? −√12 − √36
) of ( ) of175 =?
a) 11 (1/8)
1
c) 10 (3/8)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
48
@Crossword2022
Q912. 72.3 × 494.7 × 633.4 × 815.85 = 63?
a) 16.25
b) 15.1
c) 13.4
d) 18.9
e) None of these
Q913. (? )2 + (164)2 = (307)² − 272
a) 151
b) 189
c) 211
d) 259
e) 281
Q914. 45% of 400 + 60% of ? = 150 × 8
a) 1700
b) 1500
c) 1200
d) 2100
e) 1900
Q915. 1920 ÷ 16 × 1.5 + 220 = ?2
a) 25
b) 18
c) 20
d) 15
e) 16
Q916. 960 + 105 ÷ 21 = ? × 25 + 165
a) 32
b) 24
c) 16
d) 28
e) 30
Q917. (60000 of 12.5% ÷ 7.5) + (1254 of 50% × 168
÷ 28) = (?)2 + 3162
a) 36
b) 37
c) 38
d) 39
e) 40
Q918. 8192 ÷ 16 of 8 ÷ 4+106×18÷36 = √? + 22
a) 2025
b) 2116
c) 2209
d) 2304
e) 2401
Q919. 664 – 624 + 260 – ? = 60
a) 180
b) 120
c) 240
d) 200
e) 150
Q899. 80% of 24000 – 16% of 7200 = ? – 15% of 2000
a) 12360
b) 18348
c) 20650
d) 16408
e) 14055
Q900. 292 + 52 % of 900 – (3/7) of 1750 = ? – 113
a) 2150
b) 1560
c) 1890
d) 2780
e) 2940
Q901. ∛35937 +√5184 ÷ 2? – 4/5 of 65 + 52 = 4.2
a) 1
b) 2
c) 3
d) 4
e) 5
Q902. 46% of 450 + 84% of 525 – 55% of 880 =?
a) 164
b) 166
c) 170
d) 162
e) 160
4
3
3
Q903. √256 + of 400 + of ? =
of 208
5
4
13
a) 36
d) 30
b) 32
e) 28
(−2)
(−2)
÷ (3)(−2)
=?
b) –1
e) None of these
c) 3
Q905. ? % of 250 – 48% of 250 = ?
a) 70
b) 75
d) 72
e) 80
c) 85
Q904.
(−3)(−2)
a) 1
d) –3
c) 34
1
Q906. √46225 ÷ (3125)5 =? −215
a) 258
b) 255
d) 235
e) 248
2
1
7
14
Q907. 3 + 4
a) 14
d) 7
Q908.
−
9
14
=
c) 218
188
Q920.
?
b) 28
e) 24
c) 35
a)792.5
b)852.5
c)1092.5
d)992.5
e)None of these
Q921. 272/4 – 18 × 6 + ∛1331 = ?
a) 54
b) -48
c) 36
d) -29
e) None of these
Q922. 1512 ÷ 36 + 44 × 32 = ?
a) 2527
b) 1346
c) 1450
d) 1216
e) None of these
Q923. (6386 ÷ 31) + (825 ÷ 33) + (9720 ÷ 216) = ?
a) 271
b) 283
c) 276
d) 286
e) None of these
Q924. 322 – 93 + 29 = ?2
a) 17
b) 18
c) 14
d) 12
e) None of these
√15 × 222 − 40%of602 + 19 × 39 = ?2
a) 81
b) 21
c) 19
d) 11
e) 9
Q909. 40% of ? + 55% of 360 = 36% of 450 + 102
a) 64
b) 320
c) 160
d) 80
e)20
1
Q910. √144 × √324 ÷ 4 ( ÷ 24) =
3
a) 432
d)
3
64
b) 0.75
a) 16
d) 18
(54)2
?
c) 243
e) 1.5
Q911. 34 ÷ 362 × 243 =
?3
2
b) 14
e) 12
18
54 1 1
 48  6  2  ?
57
63 9 2
c) 6
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
49
@Crossword2022
Q937.
Q925. √18 × 8 + 37.5% of 216−? = √1444 − √529
a) 4
b) 0
c) 6
d) 12
e) 2
Q926.
Q927.
3
5
5
2
9
7
9
7
a) 960
b) 480
d) 900
e) None of these
a) 128
b) 110
c) 100
d) 118
e) None of these
Q939. (0.0036)1/2 + (0.0169)1/2 = ? + 0.03
a) 0.16
b) 0.12
c) 0.14
d) 0.26
e) none of these
c) 450
272 – 182 + 120% of 225 = ?
a) 650
b) 625
c) 675
d) 645
e) None of these
a) 4
b) 6
c) 4√3
d) 3√2
e) None of these
Q941. 25% of ∛328509 + 75% of ∛79507 = ?
a) 41.5
b) 39.5
c) 36.5
d) 49.5
e) None of these
Q942. 332 + 342 + 35 + 362 – 392 = ?
a) 3155
b) 3025
c) 2055
d) 2025
e) None of these
Q943. 37.5% of 2016 + 25% of 3648 = ? × 12
a) 160
b) 120
c) 170
d) 145
e) None of these
1
Q929. 56 % of 250 + 33 % of 963 =?
3
a) 367
b) 473
c) 428
d) 385
e) 461
Q930. (√7 – √10)2 + (√5 + √14)2 = (?)3 – 28
a) √ 2
b) 3
c) 4
d) √ 6
e) none of these
5
7
13
+4
a) 25
d) 20
Q932. √72% of
a) 14
d) 12
4
11
×2
1
16
=?
b) 29
e) None of these
200
3
+ 111% of
400
3
c) 30
3
Q944.
=?
b) 13
e) 16
Q933. ? % of 1300 + 55% of 460 =
32  13  5  16  ?
Q940.
Q928. (18 / 396) × (33 / 288) × ? = 42
a) 8074
b) 8064
c) 8056
d) 8126
e) None of these
5
c) 900
Q938. 13 % of 2835 + 25% of 3248 = 1117 + ?
of of of 9450 = ?
Q931. 3 of 5
(18 × 66) ÷ 27 + 65 – 75 = √?
a) 1225
b) 1156
d) 1024
e) None of these
c) 15
√729–√729+√324
=?
√1444
a) 0
b) 1
d) √17
e)
2
?
8
of 168 –
1
4
108
c) √123
1
√19
21
27
Q945. √961 + of
of of = ?
3
9
36
42
of 908
a) 50
b) 55
c) 60
d) 45
e) 65
Q934. 38.4% of 1450 + 78.2% of 240 – ?2 = 20% of
77.4
a) 81
b) 27
c) 19
d) √17
e) None of these
Q935. (2.89)4 ÷ (4913 ÷ 1000)3 × (0.17 × 10)3
= (1.7)?–3
a) √ 6
b) 3
c) 5
d) √ 4
e) None of these
Q936. 32% of 5.832 + 35% of 6500 – ?% of 1250 = 222.8
a) 28.55
b) 195.45
c) 174.65
d) 164.32
e) None of these
a) 27
b) 29
c) 23
d) 34
e) 38
Q946. (841 ÷ 29) + (34 × 5) – (23 × 5) =?
a) 88
b) 81
c) 84
d) 78
e) 72
Q947. ? ² = 40% of 420 + 44% of 200
a) 24
b) 12
c) 8
d) 16
e) 416
Q948. 343 + 243 + 512 = 20% of ?
a) 4590
b) 5490
c) 6490
d) 6140
e) 5290
Q949. (0.3)3 × (0.09) × (0.027) = (0.0081)?+2
a) 0
d) 3
b) 1
e) 4
c) 2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
50
@Crossword2022
Q950.
3
3
√1728 + √784 + √1296 = ? + √512
a) 86
b) 68
c) 74
d) 72
e) 64
Q951. 14
1
11
a) 59
d) 56
+ 16
54
121
81
121
3
11
+ 14
4
+ 12
121
23
b) 39
e) 57
3
11
=?
c) 61
121
81
82
99
121
Q952. 16.5% of 300 +
70.5% of 1400 – 10% of 480 = ?
a) 1280.75
b) 1084.5
c) 986.25
d) 1175.5
e) 988.5
What should come in place of (x) in the following
questions and you have to check each and every
option carefully.
5
3
Q953. 35% of 180 + 182 = (27) + x 2
3
2
a) √1728
b) √196
d) Prime Number
e) None of these
Q954.
323
357
3
c) √2744
2
Q961. 30
13
17
− 47
a) 13
d) 29
18
34
+ 23
5
11
17
b) 13
34
13
−2
1
34
=?
27
34
c) 13
29
34
e) None of these
34
Q962. 120% of 650 + 30 + 255 ÷ 5 = x
a) Odd number
b) Prime number
c) Multiple of 3
d) Multiple of 7
e) Both a & d
4
2
8
5
3
15
Q963. 7 − 3 + 4
=
234
x
a) Odd Number b) Multiple of 3
3
c) √19683
d) Both a & b
e) all a), b) and c)
Q964. 96% of 1050 − ? % of 500 = 998
a) Prime Number b) Even Number
c) Can’t Say
d) 1 < x < 3
e) Both a & d
Q965. ?1/2 = 16 × 14 – 12 × 18 + 176/11
a) 576
b) 676
c) 729
d) 529
e) None of these
Q966. (242 ÷ 8) × 5 = ? + 300
a) 40
b) 20
c) 60
d) 10
e) 30
Q967. 3x = 729 ÷ 243 × 216 × 72 ÷ 576
a) 8 < x < 9 b)5> x > 7
c) 3> x >5
d) 0 > x > 1 e) None of these
In these questions two quantity numbered I
and II are given. You have to solve both the
equations and mark the appropriate option.
Given answerA. Quantity II < Quantity I
B. Quantity II > Quantity I
C. Quantity II ≤ Quantity I
D. Quantity II ≥ Quantity I
E. Quantity II = Quantity I or no relation
× 441 − 15 × 21 = x
a) multiple of 21
d) both a) and b)
Q958. √4624 + √? + 12 – 43 = 137
a) 9872
b) 11256
c) 9081
d) 10000
e) None of these
Q959. 189820 – 22624 + 35 × ? – 372 × 28 = 194440
a) 1045
b) 1087
c) 1095
d) 1076
e) None of these
Q960. (37.5% of 2896)– 20% of 1520+226 = ? × 16
a) 58
b) 63
c) 66
d) 70
e) 74
2
b) √7056
c) √7396
e) both a) and c)
Q955. √52 × 41 × 5 – 172 – 75 = x
a) tens place value of answer is multiple of 3
b) tens place value of answer is multiple of 2
2
c) √4761
d) both a) and c)
e) All a), b) and c)
2
Q956. x 3 = 64% of 150 + 7 × 3 − 92
a) even number b) cube of 8
c) cube of 6
d) both a) and b)
e) both a) and c)
Q957. x × 4 − 402 = 142 − 36 × 44
a) prime number
b) tens place value of answer is multiple of 5
2
c) √2601
d) all a), b) and c)
e) both a) and b)
What should come in place of (x) in the
following questions and you have to check
each and every option carefully.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
51
@Crossword2022
Q968. (46351–36418–4505) ÷ x = 1357 And y %
of 800 = 293 – 22% of 750
Quantity I: value of x.
Quantity II: value of √y.
c) Multiple of 5
e) All of the Above
Q976. ? ³ =
1
2
3
2
5
3
7
of 1771 − 864 ÷ 16 ×
5
9
a) Multiple of 5 b) Multiple of 10
c) Multiple of 2
d) Multiple of 3
e) All of the Above
Q977. ?% of 1600 – 480 = (3/5) × 125 + 165
a) 25
b) 60
c) 30
d) 45
e) None of the Above
Q978. ? = [(7)2.7 × (343)1.5]1/3
a) 71.4
b) 73.5
c) 72.4
0.4
d) 7
e) None of these
Q979. (49)16 ÷ (343)8 × (2401)3 × 49 = 7?
a) 20
b) 21
c) 22
d) 23
e) None of these
Q980. (21 - 12 ÷ 3 × 2) ? [13 − (12 − 6 ÷ 3)]
a) > (Greater than)
b) < (Less than)
c) ≤ (either lesser than or equal to )
d) ≥ (either greater than or equal to)
e) = (equal to)
Q981. (54 ÷ 3 of 6 + 9) ? [13 − (12 − 6 ÷ 3) ]
a) > (Greater than)
b) < (Less than)
c) ≤ (either lesser than or equal to )
d) ≥ (either greater than or equal to)
e) = (equal to)
Q982. 8[1-{3+(5-6+7)}] ? 0.8{0.75÷(1.35-0.6)} - 0.8
a) > (Greater than)
b) < (Less than)
c) ≤ (either lesser than or equal to )
d) ≥ (either greater than or equal to)
e) = (equal to)
Q983. (37 - 6 × 4 + 32 ÷ 8) ? (64 - 48 ÷ 6 × 4 + 8)
a) > (Greater than)
b) < (Less than)
c) ≤ (either lesser than or equal to )
d) ≥ (either greater than or equal to)
e) = (equal to)
Q984. (12 + 4 - 8 ÷ 2 × 3) ? (7 - 5 + 14 ÷ 2 + 6)
a) > (Greater than)
b) < (Less than)
c) ≤ (either lesser than or equal to )
A. Quantity II < Quantity I
B. Quantity II>QuantityI
C. Quantity II ≤ Quantity I
D. Quantity II ≥ Quantity I
E. Quantity II = Quantity I or no relation
Q969. 8888 + 848 + 88 – x = 7337 + 737 And
618 + 62 × 0.50 – 29 = y
Quantity I : value of x.
Quantity II : value of 3y.
A. Quantity II < Quantity I
B. Quantity II > Quantity I
C. Quantity II ≤ Quantity I
D. Quantity II ≥ Quantity I
E. Quantity II = Quantity I or no relation
Q970. 3.2% of 500 × 2.4% of x = 288 And
y % of 800 = 293 – 22% of 750
Quantity I: value of y3.
Quantity II: value of x.
A. Quantity II < Quantity I
B. Quantity II > Quantity I
C. Quantity II ≤ Quantity I
D. Quantity II ≥ Quantity I
E. Quantity II = Quantity I or no relation
Q971. 44% of 1950 + 82% of 250 + 62% of ? = 7883
a) 11800
b) 11000
c) 1110
d) 11500
e) None of these
Q972. (27 / 17 ) of 2295 ÷ 9 – ? = √729
a) 381
b) 378
c) 375
d) 373
e) None of these
Q973. (√81 × 30) + 130 = 80% of ?
a) 600
b) 360
c) 800
d) 500
e) 450
Q974. 52 ÷
3
d) Both a & c
of 8 + × 1 = ?
a) Multiple of 5
b) Multiple of 10
c) Multiple of 4
d) Multiple of 3
e) Multiple of 7
Q975. ? % of 400 + 310% of 60 = 500% of 82
a) Multiple of 8
b) Multiple of 7
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
52
@Crossword2022
d) ≥ (either greater than or equal to)
e) = (equal to)
Q985. (16 + 8 ÷ 4 − 2 × 3) ? (15 + 5 ÷ 5 × 2 )
a) > (Greater than)
b) < (Less than)
c) ≤ (either lesser than or equal to )
d) ≥ (either greater than or equal to)
e) = (equal to)
Q997. 425 - 68% of 350 + ? = 162 - √2809
a) 12
b) 26
c) 24
d) 16
e) 20
Q998. √945 ÷ 45 + 12 x 5 - ? = 156 ÷ 39
a) 3
b) 7
c) 9
d) 2
e) 5
Q999. 11 x ? x 23 = 572 + 2570
a) 33
b) 25
c) 17
d) 23
e) 27
Q1000. 90% of 670 + ?% of 480 = 1131
a) 140
b) 95
c) 110
d) 130
e) 155
Q1001. 320.16 x 320.04 = ?
a) 1
b) 2
c) 4
d) 8
e) 16
Q1002. (?)2 + 1 = 232 + 292
a) -38
b) -53
c) -113
d) 37
e) 142
4
Q986. (2450 ÷ 7 + 112 × 2.5) ? of 441 ÷ 18 + 14
7
a) > (Greater than)
b) < (Less than)
c) ≤ (either lesser than or equal to )
d) ≥ (either greater than or equal to)
e) = (equal to)
Q987. 126 ÷ 14 * 9√2 - √72 = ?√2
a) 75
b) 125
c) 50
d) 100
e) 150
Q988. 32% of 250 − 45% of 120 = 10 - (?/3)
a) 48
b) 36
c) 24
d) -36
e) -48
Q989. 132 - 24 + 789 ÷ 263 = 46 * ? ÷ 23
a) 77
b) 74
c) 78
d) 68
e) 64
Q990. 0% of 45 ÷ 12% of 50 + (?) = 18
a) 12
b) 10
c) 4
d) 8
e) 6
Q991. (76 + 24 x 5 - 11 x 8) ÷ 4 + √144 = ?
a) 25
b) 37
c) 46
d) 41
e) 39
Q992. (3214 + 886 - 1073 - 1731)1/4 + (?) = √361
a) 21
b) 13
c) 19
d) 18
E .11
Q993. √1225 + √5776 − √3249 = √? + √1024
a) 576
b) 400
C .529
d) 484
e) 441
Q994. 56% of 3150 - 130% of 630 = 900% of ?
a) 85
b) 125
c) 115
D 105
e) 95
Q995. 78 * 34 ÷ 221 - 121 * 209 ÷ 1331 = ?
a) 4
b) 5
c) 6
d) -9
e) -7
Q996. 12.5% of 64 + 80% of 25 - ?% of 180 = 19
a) 8
b) 7
c) 6
D .5
e) 4
Q1003.
?
4
of √256 =
80
?
3
of √125
a) 34
b) 31
c) 19
d) 22
E.
5
13
3
Q1004. of x + of of 552 = 43% of 1400
8
15
7
1. x is an odd number greater than 801.
2. x is an integer lies between 601 and 801.
3. x is a multiple of 7.
(a) 770
(b) 709
(c) 707
(d) 712
(e) 721
Q1005. 4 2, 40,10, 000  3 9261  x
1. x is equal to 74.
2. x is an even number.
3. x is a multiple of 343.
(a) 2401
(b) 2601
(d) 2116
(e) 2209
3
4
Q1006. 2  3  ?  1 1  2 3
7
5
3
14
(a) 3 3
70
(d) 1 17
70
(b) 3 137
210
(e) 1 3
70
(c) 2304
(c) 2 143
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
53
210
@Crossword2022
5
5
7
13
Q1007. Quantity 1: 3 of 5
+4
4
11
×2
1
16
Q1014. 3.4 × 2.6 × 5.4 ÷ 1.8 ÷ 0.17 = x ÷ 0.8
1. x is an even number greater than 125.4.
2. x is a fractional even number.
3. x is greater than 53.
a) 12.48
b) 124.8
c) 1248.8
d) 1.248
e) 12.84
=x
Quantity 2 : √𝑦 % of 300 = 48% of 350 – 36%
of 450
a) 25
d) 20
b) 29
e) 27
Q1008. Quantity 1: √72% of
c) 30
200
3
+ 111% of
Quantity 2: (y + 5)2 – 256 = 0
a) 14
b) 13
d) 12
e) 16
Q1009. x% of 1300 + 55% of 460 =
𝑥
8
400
3
=x
400
Q1015. √
1
4
of 908
1. x is an even number lying between 51 and 80.
2. x is an odd number lying between 49 and 70.
3. x is a multiple of 12
a) 50
b) 55
c) 60
d) 45
e) 65
Q1010. √1444 + √1849 = 𝑥 2
1. x3 is less than 83.
2. x is an odd number less than 11.
3. x is a factor of 1647.
a) 7
b) 9
c) 8
d) 6
e) 11
Q1011. 42150 ÷ 500 + 53245 ÷ 50 + 34620 ÷ 30 = x
1. x is a fractional number divisible by 2.
2. x is an even number lies between 2103.2 and
2403.2.
3. x is an odd number.
a) 2103.5
b) 2205.4
c) 2404.3
d) 2303.2
e) 2305
4
2
5
7
Q1012. 3 of 7
of 3
2
3
% of 1372 +
16
17
of 2499 = x
1. x is a multiple of 7 and 8 both.
2. 82 is less than x.
3. x is divisible by 13
a) 58
b) 54
c) 56
d) 52
e) 48
Q1016-17.In the following questions, three
statements are given. Solve the questions
and give the answer which
statement/statements is/are true.
Q1016. (√7396 + 4√2401) + x = 100
1. cube of x is 343.
c) 15
of 168 –
7
2
2. (45% of 200 + 86% of of 125) is divisible
5
by x
3. square of x lies between 64 and 81.
a) Only 1
b) Both 1 and 2
c) Both 2 and 3 d) All the three
e) Only 3
Q1017. 65% of 400 + √𝑥 = 44% of 800 – 12% of
400
1. x is divisible by 88.
2. x lies between 1836 and 1936.
3. x is greater than square of 42 but less than
square of 46.
a) Only 2
b) Only 1
c) Both 1 and 3 d) None of these
e) All the three
Q1018. [(192)2 ÷ 64 × 24] ÷ 48 = √𝑥
1. x is a multiple of 18.
2. x is an integer less than 90000.
3. x is an odd number greater than 88000.
a) Only 1
b) Only 2
c) Both 1 and 2 only
d) Both 1 and 3 only
e) All statements are correct
of 490 = x
1. x is an even number greater than 48592.
2. x is a prime number greater than 51449.
3. x is divisible by 11.
a) 49,742
b) 47,942
c) 44,942
d) 47,429
e) 49,427
Q1013. x ÷ 13 + 2262 ÷ 39 × 243 + 273 ÷ 3 = 5 ×
(1481 + 1376)
1. 362 is less than x.
2. x is an even number divisible by 26.
3. x is an integer greater than 1400.
a) 1250
b) 1100
c) 1300
d) 1400
e) 1350
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
54
@Crossword2022
Q1019. (20 × 24) + (18 × 15) + (24 × 25) = ?
a) 1970
b) 1540
c) 1620
d) 1350
e) None of these
Q1020. 0.12% of 12250 – 0.09% of 400 = x
1. x is an odd number lies between 12 and 15.
2. x is an even number lies between 18 and 21.
3. x is an integer number .
a) Both 1 and 3 only
b) Both 2 and 3 only
c) None of these
d) Only 2
e) Only 1
Q1021. (18% of 200 + 43) × 10 – 110 = ? × 89
a) 40
b) 30
c) 15
d) 25
e) 10
Q1022. 25 % of 6500 – 16 % of 1600 = x
1. x is an odd number lies between 750 and 980.
2. x is an even number lies between 1250 and 1480.
3. x is an integer number.
a) Both 1 and 3 only b) Both 2 and 3 only
c) None of these
d) Only 2
e) Only 1
Q1023. 60% of 4500 + 40% of 6500 – 80% of 5500 = x
1. x is an odd number lies between 730 and 880.
2. x is an even number lies between 1125 and 1225.
3. x is an non integer number.
a) Both 1 and 3 only b)Both 2 and 3 only
c) None of these
d) Only 2
e) Only 1
Q1024. (√1444 × √2500) ÷ 19 = x
1. x is an odd number lies between 80 and 130.
2. x is an even number lies between 95 and 112.
3. x is an non integer number.
a) Both 1 and 3 only
b) Both 2 and 3 only
c) None of these
d) Only 2
e) Only 1
Q1025. √(301–√(168–√(544+√(1042 –√(324)))))
=x÷3
1. x is an odd number lies between 41 and 78.
2. x is an even number lies between 49 and 62.
3. x is an integer number.
a) Both 1 and 3 only b) Both 2 and 3 only
c) None of these
d) Only 2
e) Only 1
Q1026. 1089 ÷ ∛1728 ÷ 11 + √225 = x2 – 652.75
1. x is an odd number lies between 18 and 29.
2. x is an even number lies between 17 and 27.
3. x is an integer number.
a) Both 1 and 3 only b) Both 2 and 3 only
c) None of these
d) Only 2
e) Only 1
Q1027. 72.9 ÷ 81 × √100 = x1/2 ÷ √324 + ∛64
1. x is an square of 90.
2. x is an multiple of 3 and less then 9000.
3. x is divided by 27.
a) Both 1 and 3 only b) Both 2 and 3 only
c) All
d) Only 2
e) Only 1
Q1028. 48.3×289÷3.4÷23 ÷ 68 × 21 = x3 + 28.125
1. x is a factor of 2364.
2. x is a prime number and x5 lies between
243 and 343.
3. x6 is greater than 44 but less than 45.
a) Only 1
b) Both 1 and 3
c) Only 2
d) Both 2 and 3
e) None of these
Q1029. (16.67% of 4446 × 1292) ÷ (37.5% of
2584) = x3 – 343
1. x is an odd number and divisible by 11.
2. x is an even number and divisible by 2.
3. x is an integer number.
a) Both 1 and 3 only
b) Both 2 and 3 only
c) None of these
d) Only 2
e) Only 1
Q1030. 17.5% of 754 = x1/2 + 51.31 + 51.64
1. x is an odd number lies between 775 and
876.
2. x is an even number lies between 825 and
888.
3. x is an integer number.
a) Both 1 and 3 only
b) Both 2 and 3 only
c) None of these
d) Only 2
e) Only 1
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
55
@Crossword2022
Q1031. x1/3 ÷ √4225 = 351 × 216 ÷ 169 ÷ 36
1. x is an odd number lies between 690 and 856.
2. x is an even number lies between 725 and 888.
3. x is multiple of 27.
a) Only 3
b) Both 2 and 3 only
c) Both 1 and 3 only
d) Only 2
e) Only 1
Q1032. x ÷ 1156 = 6859 × .64 ÷ x ÷ 19
1. x is an odd number lies between 512 and 856.
2. x is an even number lies between 485 and 786.
3. x is multiple of 4.
a) Only 3
b) Both 2 and 3 only
c) Both 1 and 3 only
d) Only 2
e) Only 1
Q1033. 3463 × 295 – 18611 = x + 5883
1. x is an odd number lies between 800510
and 1250000.
2. x is an even number lies between 75089 and
786480.
3. x is an integer number.
a) Only 3
b) Both 2 and 3 only
c) Both 1 and 3 only
d) Only 2
e) Only 1
Q1034. (23.1)2 + (48.6)2 – (39.8)2 = 𝑥 + 1147.69
1. x is an odd number lies between 145 and
256.
2. x is an even number lies between 121 and
501.
3. x is multiple of 4.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only
d) Only 2
e) Only 1
Q1035. 33 % of 769 + 24% of 161 – 68 = x
1. x is an odd number lies between 156 and
420.
2. x is an even number lies between 188 and
256.
3. x is an integer number and multiple of 2.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only
d) Only 2
e) Only 1
Q1036. 795 ÷ 15+ 768 ÷ 12 – 1273 ÷ 19 = x
1. x is an odd number lies between 49 and 81.
2. x is an even number lies between 36 and 64.
3. x is an integer number and multiple of 5.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only
d) Only 2
e) Only 1
Q1037. (4 × 4)3 ÷ (512 ÷ 8)4 × (32 × 8)4 = (2 × 2)(x
+ 4)
1. x is an odd number lies between 4 and 12.
2. x is an even number and factor of 3.
3. x is an integer number and multiple of 2.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only
d) Only 2
e) Only 1
Q1038. 0.36 of 52.5 + x of 35 = 57.4
1. x is an odd number lies between 0.01 and 2.5.
2. x is an even number lies between 0.1 and 12.
3. x is an integer number.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only d) Only 2
e) Only 1
Q1039. 65.5 – 38.2 + 8.60 × 4.4 = x + 2.5
1. x is an odd number lies between 59 and 67.
2. x is an even number lies between 55 and 87.
3. x is a multiple of 4.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only d) Only 2
e) Only 1
Q1040. x = {(2.5)3 + (1.5)3}/{(2.5)3 – (1.5)3}
1. x is an odd number lies between 0.36 and 3.56.
2. x is an even number lies between 0.25 and 2.50.
3. x is an integer number.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only
d) Only 2
e) Only 1
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
56
@Crossword2022
Q1041. (83)2+(37)2−x√=8160
1. x is an odd number lies between 8456 and
12506.
2. x is an even number lies between 6548 and
24598.
3. x is an integer number and multiple of 4.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only
d) Only 2
e) Only 1
Q1042. 85% of 4/7 of 6755 =x + 1678
1. x is an odd number lies between 1280 and 1950.
2. x is an even number lies between 1425 and
2450.
3. x is an integer number.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only d) Only 2
e) Only 1
Q1043. 1.05% of 110 + 1.05% of 130 = x
1. x is an odd number lies between 0.45 and 4.26.
2. x is an even number lies between 0.18 and 3.7.
3. x is an integer number.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only
d) Only 2
e) Only 1
Q1044. (10.8×16×12) + (3.6×56×9.2) = x
1. x is an odd number lies between 3600 and 4500.
2. x is an even number lies between 3890 and
4159.
3. x is a factor of 4.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only
d) Only 2
e) Only 1
Q1045. 3545 ×14.75 – 2 325 ×15.25 =x
1. x is an odd number lies between 12836
and 23960.
2. x is an even number lies between 12365 and
18960.
3. x is a factor of 5.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only
d) Only 2
e) Only 1
Q1046. 212 +172 -132 = x
1. x is an odd number lies between 420 and 625.
2. x is an even number lies between 126 and 786.
3. x is a factor of 11.
a) Only 3
b) Both 1 and 3 only
c) Both 2 and 3 only d) Only 2
e) Only 1
Q1047. (0.83 x 0.83 x 0.83 + 0.17 x 0.17 x 0.17) is equal
a) 1+0.51 x 0.83 b) 1-0.51 x 0.83
c) 0.51 x 0.83-1 d) 2+0.51 x 0.83
e None of these
Q1048. 63 (729) 2/3  (343) 2/3
a) 63 1072
b) 63
c) 63 63
30
d) 130
e) 63 30
Q1049. (2.25) 2  16  4(2.25) 
a) 5.2
d) 5.8
(2.25)
3
2.25  4
?
b) 3.2
c) 38
e) None of these
Q1050. {(6374)1773  (625)297  (341)491}
Find unit digit?
a) 3
d) 5
b) 0
c) 2
e) None of these
5
7
1
7
Q1051. 6  [  {3  2  1 }]
6
8
3
9
9
1
a)
11
2
3
b)
9
13
c)
1
11
d) 72
e) None of these
Q1052. 3648.24  364.824  x  36.4324  3794.1696
a) 5
d) 2
b) 4
c) 3
e) None of these
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
57
61
72
@Crossword2022
Q1053. 17% of 2300 + 19% of 4700 = x + 36% of 450
1. x is a multiple of 11.
2. x is an even number.
3. 362 is greater than x.
a) Only 1
b) Both 1 and 2
c) Only 3
d) Both 2 and 3
e) All the three
Q1054. (1/8) of (54% of 2500 – 550) = ? ÷ 2
a) 450
b) 200
c) 350
d) 300
e) 500
Q1055. (21.6)² ÷ (– 7.2)² × x = 15483.36 –
15276.09
1. x is a fractional value greater than 21.34.
2. x2 is greater than 232 but less than 24.342.
3. x is an odd number.
a) Only 1
b) Only 2
c) Only 1 and 2 d) Only 2 and 3
e) All the three
Q1056. 348 ÷ 29 × 15 + 156 = (x)³ + 120
1. x3 is greater than 44 but less than 35.
2. x is a factor of 2226.
3. x4 is an even number less than 55.
a) Only 1
b) Only 1 and 2
c) Only 2
d) Only 2 and 3
e) None of these
2. 35 is less than x but 44 is greater than x.
3. x is a multiple of 33.
a) Only 1
b) Only 2
c) Only 3
d) Both 1 and 2 e) Both 2 and 3
Q1060. 654 + 54% of 850 = 750 + x
1. X is multiple of both 3 and 11.
2. x is prime number
3. x has a total 6 factors.
a) Only 1
b) Both 1 and 3
c) Only 3
d) Both 1 and 2
e) Both 2 and 3
Q1061. (2.7) × (0.3)7 = (0.3)x × (0.081)²
1. x is a factor of every even number
6
2
2
Q1057. (2√392 – 21) + (√8– 7) = (𝑥)2
Q1063. (√7 − 3) = 𝑥 − √252
1. x is a multiple of 4
1. x4 is greater than 73 but x3 is less 54.
2. x is an even number greater than 2.
3. x is a factor of 729.
a) None of these b) Both 1 and 2
c) Both 2 and 3 d) Only 1
e) Only 2
Q1058. 55% of 280 + 60% of 555 = x
1. x is a prime number less than 987.
2. 73 is less than x but 54 is greater than x.
3. x lies between 459 and 578.
a) Only 1
b) Both 1 and 2
c) Only 3
d) Only 2
e) All the three
Q1059.
4
9
of
7
11
of
121
12
4
2. x is less than 3 but greater than 7
3. x is smallest prime number.
a) Only 1 b) Only 2
c) Only 3
d) Both 1 and 2 e) All the three
Q1062. 26 × 12 – 5543 ÷ 23 = x – 224
1. X is an odd number divisible by 5
2. x is an odd number less than 305
3. x is prime number.
a) Only 1 b) Only 2
c) Both 1 and 2
d) Both 2 and 3
e) All the three
2
3
3
2. x is greater than 6 but less than 7
3. x is the factor of 966.
a) Only 1
b) Only 2
c) Both 1 and 2 d) Both 2 and 3
e) All the three
2
3
4
Q1064. of of of 105 = x
5
7
9
1. x is an even number and factor of 264
2. x is a root of the equation
2
a  18a  80  0
3. x is a multiple of 16.
a 2 -18a + 80 = 0
a) Only 1 b) Only 2
c) Both 1 and 2
d) Both 2 and 3
e) All the three
of 81 = x
1. x is a multiple of 2 and 3 both.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
58
2
@Crossword2022
Q1065-67. In the following questions two quantities
1 and 2 are given. Find them and establish
the correct relation.
Q1065. Quantity 1 =
3
3
(1.94  0.06 )
2
2
(1.94  1.94  0.06  0.06 )
3. x is an even number lying between 31 to 69.
a) Only 1
b) Both 1 and 2
c) Both 2 and 3 d) Both 1 and 3
e) None of these
Q1070. 22 1 % of 2400  ?2  1  35 1 %of 750  19  8
2
2
5
a) 18
b) 14
c) 24
d) 16
e) 28
Q1071. 175% of 460 + 110% of 170 + 2x = 1000
1. x is an odd number which is a factor of 1590.
2. x lies between -3 and 3.
3. x6 is greater than 63 but less than 83.
a) Only 1
b) Only 2
c) Only 3
d) Both 1 and 3 e) Both 2 and 3
Q1072. If 𝑥 = 5.6 and y = 8, what is the value
 x = ?
7 x  5 y  4 
x
Quantity 2 : y%of60 = 30%of240 + 40%of250
a) Quantity 1 > Quantity 2
b) Quantity 1 < Quantity 2
c) Quantity 1 Quantity 2
d) Quantity 1 Quantity 2
e) Quantity 1 = Quantity 2
Q1066. Quantity 1 : 0.0078 + 1.04  20 + 0.00820.0001=x
2 6
of of of 1120 = 1000y
4 5 7
a) Quantity 1 > Quantity 2
b) Quantity 1 < Quantity 2
c) Quantity 1 Quantity 2
d) Quantity 1 Quantity 2
e) Quantity 1 = Quantity 2
Q1067. Quantity 1 : 54 % of 550 +42% of 425-34% of
650=x
Quantity 2 :
3
 y
 
a) 84
d) 78
Q1073.
b) 80 c) 82
e) None of these
x  122  24  8  654  17  13  8 
1. x is an odd number less than 94349.
2. x is a prime number.
3. x is less than 503.
a) Only 1
b) Only 2
c) Only 3
d) Both 1 and 3 e) Both 2 and 3
3
Q1074. (35)2 ÷ √125 + (25)2 ÷ 125 = 𝑥
1. x is an even number lies between 231 and 350
2. x is less than 192
3. 3x is and odd number
a) Only 1
b) Only 2 c) Both 1 and 2
d) Both 2 and 3 e) None of these
Q1075. (5! × 12) + 25% of 4000 = ? × 122
a) 75
b) 20
c) 100
d) 40
e) 80
Q1076. Quantity 1: ( 47 x 588)  ( 28 x 120) = x
1
1
Quantity 2: y  33 % of 231  37 % of 128
3
2
a) Quantity 1 > Quantity 2
b) Quantity 1 < Quantity 2
c) Quantity 1 Quantity 2
d) Quantity 1 Quantity 2
e) Quantity 1 = Quantity 2
Q1068-72. What should come in place of question
mark (?) in the following questions?
Q1068.. 18.6 × 3 + 7.2 – 16.5 = x + 21.7
1. x is multiple of 8.
2. x is an even number greater than 16.
3. x is a fractional number less than 62.
a) Only 1
b) Only 2
c) All the three d) Both 1 and 3
e) None of these
Q1069. [(140)2 ÷ 70 × 16] ÷ 8 = 14 × 𝑥
1. x2 is greater than 64 but less than 55.
2. x is not divisible by 8.
1
3
 12 % of 200  of 32
4
2
4
a) Quantity 1 > Quantity 2
b) Quantity 1 < Quantity 2
c) Quantity 1 = Quantity 2
d) Quantity 1 Quantity 2
e) Quantity 1 Quantity 2
Quantity 2:
y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
59
@Crossword2022
Q1077. Quantity 1: 16 % of 450  x% of 880=3168
Quantity 2: 36%of 250  42 12 % of 200  y
a) Quantity 1 > Quantity 2
b) Quantity 1 < Quantity 2
c) Quantity 1 = Quantity 2
d) Quantity 1 Quantity 2
e) Quantity 1 Quantity 2
Q1078.. 65% of 780 + 78% of 650 = x
1. 322 is less than x.
2. x is an even number divisible by 6.
3. x is a multiple of 18.
a) Only 1 b) Only 2
c) Only 3
d) Both 1 and 2
e) Both 2 and 3
Q1079.
3
8
of
4
9
of
7
12
Quantity 2 :
Q1085.
5
5
1
9
8
2
Q1086.
Q1087.
1
7
14
1
1
7
14
−1 =x+2
2
of 150
5
15
33
×
165
4
3
3
5
11
× ÷
=?
1
4
3
of 420 + of 655 − 30% of 550 =?
5
?
b) 333
c) 444
e) None of these
1
60
of 720 − 60% of 20 = of 24
4
a) 3.5
d) 2
b) 2.5
c) 1.5
e) None of these
Q1088. √20% of 110+? % of 300 − 50% of 700 = 0
a) 42333
b) 45000
c) 41250
d) 40826
e) 38455
Q1089. 243 × 729 = 2187 × 3x
1. x is an even number and factor of 245648.
2. x is an integer lying between -8 and 8.
3. x5 is greater than 54 but less than 64.
a) Only 1
b) All the three
c) Only 3
d) Both 1 and 2
e) Both 2 and 3
1. x is a fractional number less than 2.
2. x lies between 2 and 3.
3. Value of x is more than the roots of
equation a2–5a+4 = 0
a) Only 1
b) Only 2
c) Only 3
d) Both 1 and 2
e) Both 2 and 3
2
of
a) 345
d) 433
Q1080. 1 + 1 × 1 ÷ 6 = x
Q1081. 3 − 2
4
a) 42.15 b) 45.50
c) 41.25
d) 35.25
e) None of these
1. X is a multiple of 21
2. x is an odd number less than 110.
3. x is greater than 112
a) Only 1
b) Only 2
c) Only 3
d) Both 1 and 2 e) Both 2 and 3
4
3
a) 22
b) 12
c) 18
d) 15
e) None of these
Q1084. Quantity 1 : 48% of 950 – 46% of 840 = x
Quantity 2 : y% of 250 = 25% of 480+40% of
360.
a) 75
b) 72
c) 65.6
d) 70.5
e) 69.6
of 1080 = x
1
4
3
Q1083. Quantity 1. √729 of + √324 ÷ 6 = x
3
1. x is a negative number lying between-16 to -1.
2. x is a factor of 24564.
3. x is a non – prime number.
a) Only 1
b) Only 2
c) Only 3
d) Both 1 and 2 e) Both 2 and 3
4
Q1090. (? −√32) ÷ 5 = of 1250
5
a) 50 + 4√2
b) 500 + 4√2
c) 5000 + 4√2 d) 50000 + 4√2
e) None of these
1
Q1082. 2 of 630 – 50% of 240 = x
3
Q1091.
1. x is a multiple of 15 lying between 1250
and 1400.
2. x is greater than 64.
3. x an even number multiple of 450.
a) Only 1
b) All the three
c) Only 3
d) Both 1 and 2
e) Both 2 and 3
225 % of 480 + 361 % of x 2  4 81 % of 8100
I. X is multiple of 5
2
II. x lies between 890 to 910
3
III. x is an odd number
a) Only I
b) Only II
c) Both I & II
d) All the three e) None of these
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
60
@Crossword2022
II. And even number divisible by 5
III. A number greater than 150
a) Only I
b) Only II
c) Both I and II d) Both I and III
e) All the three
Q1097. In the following questions, two quantities 1
and 2 are given. Find them and establish the
correct relation between them.
Q1092. 3 1728 % of 550 + 3136 of 4 of 150 = x
72
5
I. X is square of 16.
II. X is an even number and lies between 166
to 266
III. X is a multiple of both 12 and 13.
a) Only I
b) Only II
3
1
of x  37 % of 256 = 42% of 400
4
3
2
1
II. 66 % of x + 12 % 1024 = 150% of 106
3
2
c) Both II and III d) Only III
I.
e) None of these
Q1093. 3
2
of 7
3
4
of 225  40% of x of 45
5
I) Quantity 1 > Quantity 2
II) Quantity 1 < Quantity 2
III) Quantity 1 = Quantity 2
IV) Quantity 1 Quantity 2
V) Quantity 1 Quantity 2
Q1098. 64% of 350 + 32% of 450 = x% of 250
I. X is an integer greater than 145.
II. X is an fractional number divisible by 2.
III. X is a whole number divisible by 4.
a) Both I and II
b) Only II
c) Only III
d) Both II and III
e) Only III
3 81%  9  4 128%of 51200
Q1099. if x =
I. X is multiple of 5
II. X is odd number greater 355
III. X is a multiple of 3 and 5 both
a. Only I
b) Only II
d. Both I and II
e. Both II and III
Q1094. 46% of x +
3
4
of
3
c) Only III
of 720  50%of 1016
5
I. X is the square of an even number lies
between 18 and 24.
II. X is a multiple of 5
1
2
and y = 33 %of 14 %of 84, then
3
7
2
3
4x  3 y will be
a) -96
b) -46
c) -196
d) 92
e) -92
Q1100. if A = 63% of 250 - 43% of 350 and
2
2
B = 72% of 450-62% of 550, then A  2 AB  B  ?
a) -478
b) -368
c) +478
d) -239
e) None of these
Q1101. Two quantities are given in the question
below. Find them and establish the correct
relationship.
a) Quantity I > Quantity II
b) Quantity I < Quantity II
c) Quantity I = Quantity II
d) Quantity I Quantity II
e) Quantity I Quantity II
III. X is an even number lies between 20 and 30.
a) Only III
b) Only I
c) Both I and II d) Both II and III
e) All the three
( x  4)
4
3
3
Q1095. (3  2)  (36  216)  72  144  6
Q
I. x is the both and odd number and prime
number
II. x2 is greater than 169 but lies than 290
III. x is divisible by 2
a) Only I
b) Only III c) Both I and II
d) Both II and III e) None of these
Q1096. If A = 41% of 300 + 23 % of 200 and
2
3
B = of 72 + 2 of 32, then 3A-4B is
3
4
I. An odd number divisible by 5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
61
@Crossword2022
Quantity 1:
x: 22
2
1
1
%ofx - 2 of48 = 22 %of40
9
3
2
2
1
300
Quantity 2 : y :16 %of y + 11 %of189 = 64%of
3
9
4
Q1102. 25.6% OF 500 +5.12% of 300
=
5
of x+10.24% of 200
2
I. x is a fractional number greater than 51.
II. x is a fractional even number
III. x lies between 39.45 and 51.143
a) Only I
b)Only II
c) Only III
d) Both II and III
e) Both I and III
Q1103. 3 512%of 450  37
1
%of x  0.5%of 14400
2
I. X is an even number greater than
II. X is divisible by 48
III. X is divisible by 36
a) Only I
b) Only II
c) Only III
d) All the three
e) None of these
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
62
@Crossword2022
? = (11)2 = 121
11. Ans.a)
52500 ÷ 7 + 64680 ÷ 6 = 19500 − ?
Solution
1.
2.
3.
4.
5.
6.
7.
8.
9.
Ans.d)
x
 800  348  980
100
8x = 980 – 348
X = 79
Ans.b)
343 25
x

 100   24
7 100
8
49 – 25 = 3x
X=8
Ans.a)
x = 25212-9552
= 15660
Ans.c)
50
289
44×
×70 × 2= x
100
17
1540 – 34 = x
X = 1506
Ans.b)
x2 = 802 – 402 = 400
x = + 20
Ans.e)
14 = 7x
x=2
Ans.d) 0.8x = 800 ⇒ x = 100
Ans.a)
x4 + 16 + 8x2 = 8x2 + 97
x4 = 81
x=+3
Ans.b)
9 25 37 x 31
 
 
7 7
2 7 2
7500 + 10780 = 19500 − ?
18280 = 19500 − ?
? = 19500 − 18280 = 1220
12. Ans.e)
28.5 × 34 + 2320 ÷ 8 = (36)2 − ?
969 + 290 = 1296 − ?
13.
14.
15.
16.
1259 = 1296 − ?
? = 1296 − 1259 = 37
Ans.d)
? = 47 × 27 + 15600 ÷ 8 + 181
1269 + 1950 + 181 = 3400
Ans.c)
? = 112.5 × 5 + 4560 ÷ 6 − 175 × 7
= 562.5 + 7602 − 1225
= 1322.5 − 1225 = 97.5
Ans.e)
(16 + 18) ÷ 17 = (? )0.2
2 = (? )0.2
? = 32
Ans.d)
3
8
×
=
5
27
?
100
×
32
45
× 2187
× 400
4
× 2187 = 4 ×?
81
27 × 4
?=
4
? = 27
17. Ans.a)
7 + 10– 9
2
(4 + 6 – 8) +
= ? +1
12
3
2
2
2 – 1 =?
3
3
?=1
18. Ans.c)
56
475
× 4750 +
× 12 – (? )2 = 217
100
100
2660 + 57 – (?)² = 217
(?)² = 2717 – 217
(?)² = 2500
? = 50
16
x
3
7
7
x = 21 – 16 = 5
10. Ans.d)
√961 + √1369 − √1444 = √361 + √?
31 + 37 − 38 = 19 + √?
√? = 30 − 19
√? = 11

For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
63
@Crossword2022
19. Ans.e)
(268.20 – 76.2) – ? = 144
? = 192 – 144
? = 48
20. Ans.b)
275.1
+ 84.3 – ? = 169
3
(91.7 + 84.3) – 169 = ?
?=7
21. Ans.d)
37
×? +121 – 171 + 12 = 961
100
37 ×?
= 961 + 38
100
37×? = 99900
? = 2700
22. Ans.a)
26
1
4
(
× 3800 + × 620) ÷ 33 +
=?
100
4
11
4
(988 + 155) ÷ 33 +
=?
11
1143 4
+
=?
33
11
? = 35
23. Ans.c)
1
?
(33 )2.6 × 4 0.7 + (25 )0.8 =
× 1036
(3 )
100
?
37.8–2.8 + 24 =
× 1036
100
?
35 + 24 =
× 1036
100
?
243 + 16 =
× 1036
100
259 × 100
?=
1036
? = 25
24. Ans.b)
166.8 + 272.3 – ? = 169 + 20
? = 439.1 – 189
? = 250.1
25. Ans.d)
(4/9) × 486 + 35% of 120 +(3/8) × 208 = ?
4 × 54 + 0.35 × 120 + 3 × 26= ?
? = 216 + 42 + 78
? = 336
26. Ans.a)
(7800 ÷ 312) + 65% of 1120 = 9 × ? + 24
25 + 0.65 × 1120 = 9 × ? + 24
25 + 728 – 24 = 9 × ?
? = 729 ÷ 9 = 81
27. Ans.c)
? × 15 + (3960 ÷ 12) = 262 + (350 ÷ 25)
? × 15 + 330 = 676 + 14
? = (690 – 330) ÷ 15
? = 24
28. Ans.e)
45% of 1200 – 32% of 1500 = 15% of ?
(0.45 × 1200 – 0.32 × 1500) ÷ 0.15 = ?
? = (540 – 480) ÷ 0.15
? = 400
29. Ans.b)
(322 – 222) ÷ 32= ?
(1024 – 484) ÷ 9 = ?
? = 540 ÷ 9
? = 60
30. Ans.d)
1
1
1
1
1
5 +7 +4 =3 + ? +5
4
3
2
6
6
1 1 1
1 1
(5 + 7 + 4) + ( + + ) − 3 − 5 − − = ?
4 3 2
6 6
1 1 1 1
8+ + + − = ?
4 2 3 3
2+4
3
?= 8 +
=8
8
4
31. Ans.c)
5 7 1
× ×
× 1600 = 260 + ? −499
2 8 28
? = 499 + 125 − 260 = 364
32. Ans.a)
? = √5125 − 289 − 75 = √4761 = 69
33. Ans.d)
187
?
× (42)2 − 22 × 38 =
357
4
11
?
× 42 × 42 − 22 × 38 =
21
4
22(42 − 38) × 4 = ?
? = 352
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
64
@Crossword2022
34. Ans.c)
28
9 11
×
×
×? = (10)2
252 22 3
100 × 3 × 22 × 252
?=
28 × 9 × 11
? = 600
42.
35. Ans.c)
55
× 1400 + ?2 = 1728 − 282
100
?2 = 676
43.
? = 26
36. Ans.b)
42
22.5
× 500 +
×? = 426
100
100
22.5
×? = 216
100
? = 960
44.
37. Ans.a)
? +2197=3481-681
?=2800-2197
? = 603
38. Ans.d)
540
15
+ 450 =
× 3200
?
100
540
= 480 − 450
?
? = 18
39. Ans.c)
63 10 15
? +
−
×
=5
4
3
4
63 25
?= 5 −
+
2
2
7
? = = 1.75
4
40. Ans.b)
45
× 400 +?2 = 376
100
?2 = 196
? = 14
41. Ans.d)
12
1
×? + × 960 = 192
100
8
12
×? = 192 − 120
100
45.
46.
47.
48.
49.
12
×? = 72
100
? = 600
Ans.e)
20
15 ×? +
× 450 = 360
100
15 ×? = 360 − 90
15 ×? = 270
? = 18
Ans.a)
648
25
+ 199.5 =
× 960
?
100
648
= 40.5
?
? = 16
Ans.c)
79 41
? +
+
= 24
6
6
? = 24 − 20 = 4
Ans.d)
48
?
× 525 +
× 250 = 499
100
100
247 × 100
?=
= 98.8
250
Ans.c)
24% of 35% of 150% of 2500 = ?
? = 0.24 × 0.35 × 1.5 × 2500
? = 315
Ans.b)
(0.6)3 × 600 ÷ 6000 of (0.6)2 = ?
Applying the BODMAS, we get
? = (0.6)3 × 600 ÷ (6000 × 0.6 × 0.6)
? = ( 0.6 × 0.6 × 0.6 × 600 / 6000 × 0.6 × 0.6 )
? = ( 6 / 100 ) = ( 3 / 50 ) = ( 3 / 50 )
Ans.b)
(? )2 = 16 × 7 + 361 + 11 = 484
? = 22
Ans.b)
252 + 26 + 420 = 121 + ?
? = 577
50. Ans.c)
35% of 5000 – 322 + 3 = ?
0.35 × 5000 – 1024 + 3 = ?
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
65
@Crossword2022
51.
52.
53.
54.
55.
56.
57.
58.
59.
1750 – 1024 + 3 = ?
? = 729
Ans.a)
20% of 5000 – 25% of 3000 = ? × 52
0.20 × 5000 – 0.25 × 3000 = ? × 25
1000 – 750 = ? × 25
? = 250/25 = 10
Ans.a)
16 × 15 – 240 – 32 × 10 + 420 = ?2
240 – 240 – 320 + 420 = ?2
-320 + 420 = ?2
? = 10
Ans.e)
65% of 200 – 26% of 500 = ?
0.65 × 200 – 0.26 × 500 = ?
? = 130 – 130 = 0
Ans.b)
5
52 × 18– √2304 = (30)? −
× 240
100
936 – 48 + 12 = (30)?
900 =(30)?
?=2
Ans.d)
? = 9651 – 7506 = 2145
Ans.c)
?2 = 135 + 15 − 141
?2 = 9
?= 3
Ans.a)
? = 96 − 14 + 118
? = 200
Ans.a)
? × 9 = 34 + 47
81
?=
9
?= 9
Ans.e)
64
75
× 2500 +
× 1600 = ? × 112
100
100
? × 112 = 1600 + 1200
2800
?=
112
? = 25
60. Ans.a)
√360 − 421 + 350 + 272 = (? )2
? = √289 = 17
61. Ans.c)
2? = (2)6 × (25 )2 ÷ 29
2? = 27
?= 7
62. Ans.b)
? = 572 ÷ 26 × 12– 200
? = 64
63. Ans.e)
1 1
? = (5 + 4 − 4) + ( − )
2 3
3−2
1
=5+(
)=5
6
6
64. Ans.e)
49% of 180 - 70% of 120= 9 – ?
88.2-84=9-?
?=4.8
65. Ans.b)
280
3
= 8 ⇒? = 512
√? =
35
66. Ans.b)
(? )2 = 1040 − 311 = 729
? = 27
67. Ans.b)
? = 666 + 360 = 1026
68. Ans.d)
? = 12.24
69. Ans.c)
? = 88 + 288 = 376
70. Ans.d)
640
1
= (3375 − 2700) ×
?
33.75
640
= 20
?
? = 32
71. Ans.b)
85
?2 =
× 280 + 34 − 224 + 96
100
2
? = 144
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
66
@Crossword2022
72.
73.
74.
75.
76.
? = 12
Ans.b)
39+441-90=5× ?
5× ?=390
?=78
Ans.a)
48
125
(? )2 =
× 800 +
× 1200 − 120
100
100
(? )2 = 384 + 1500 − 120
(? )2 = 1764
? = 42
Ans.b)
?
× 700 = 116 − 18
100
1148
?=
7
? = 164
Ans.b)
15%of 256 + 35% of 280 = ?
? = 38.4 + 98 = 136.4
Ans.a)
∴ (? )2 = 64 + 23 + 34 = 121 = (11)2
11 × 75 =
? = 1650
83. Ans.a)
7
36
13 − = ? +
2
5
19 36
?=
−
2
5
3
?= 2
10
84. Ans.d)
?
576 + 24 − = 225
5
?
600 − 225 =
5
? = 5 × 375
? = 1875
85. Ans.b)
? = 3735 + 4565 + 6245 − 6432
? = 8113
86. Ans.e)
? 6 21
× ×
× 216
3 7 36
= 36
?=1
87. Ans.d)
? = 144 + 111 – 29 – 27 = 199
88. Ans.d)
? = 27 + 87 – 48 + 39
= 105
89. Ans.e)
44
30
?=
× 250 +
× 270 + 169
100
100
= 110 + 81 + 169 = 360
90. Ans.d)
∴ ? = 11
77. Ans.a)
4
3
19
8 + 9 − ?= 6
7
4
28
4 3 19
9
? = (8 + 9 − 6) + ( + − ) = 11
7 4 28
14
78. Ans.e)
8 − (1.11 + 2.111 + 3.1) = ?
? = 1.679
79. Ans.b)
24 5
? = 108 ×
×
= 34
45 17
80. Ans.a)
6.25 +
0.9 × 10 = √?÷ 18 + 4
√? = 90
? = 8100
81. Ans.b)
48 × 48 +
?
2
55
100
× 25 = ? 2 − 5
6.25 + 13.75 = ?2− 5
?2 = 20 + 5
?=5
91. Ans.b)
121.75 + ? = 4 (216 −91)
121.75 + ? = 500
? =500 −121.75
? = 378.25
143
= ?
√169
? = 2304 + 11 = 2315
82. Ans.c)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
67
@Crossword2022
92. Ans.b)
112
36 + 29 + x² = 101
x 2 = 36
x=6
101. Ans.c)
36 + 3x
+ 1 = 52
23
36 + 3x + 23 = 52 × 23
3x + 59 = 1196
× 175 + ? 3 × 7.5 = 256
100
196 + ?3 × 7.5 = 256
?3 =
60
7.5
?3 = 8
?=2
93. Ans.b)
? = (7 + 2 −3)
?==5
3+2−6
3x = 1196 – 59
3x = 1137
x = 379
102. Ans.e)
343 175
+
× 350 = x 2
100
2
x 2 = 171.5 + 612.5
x 2 = 784
24
23
24
94. Ans.b)
12.5 × ? + 1728 =
40
100
× 4445
12.5 × ? = 1778 − 1728
?=
50
12.5
?=4
95. Ans.d)
?
× 144 + 192 = 324 − 24
100
?
× 144 = 300 − 192
x = 28
103. Ans.d)
23(24 + 47– 54) = x
x = 23 × 17
100
?=
108
144
× 100
x = 391
104. Ans.c)
6
× 650 + 320 + 51 = x
5
780 + 320 + 51 = x
x = 1151
105. Ans.e)
2 2 2 1
x = 11 + 12– 13– 4 ( + – – )
9 9 9 4
8 + 8– 8– 9
x= 6+(
)
36
1
x = 6 + (– )
36
35
x= 5
? = 75
96. Ans.b)
156 + 376 − ? =
13
100
× 3000
532 − ? = 390
? = 532 − 390
? = 142
97. Ans.e)
?=
5612 – 1394
740
× 100 = 570
98. Ans.a)
? = 21 × 41 – 89
= 772
99. Ans.c)
25 12
85 54
×
+? =
×
3
5
6 17
5 × 4 + ? =9 × 5
? = 45 – 20
? = 25
100. Ans.d)
45
× 80 + √841 + x 2 = 2121 ÷ 21
100
36
106. Ans.b)
x = 10288 – 5220 – 1375 + 5364
x = 9057
107. Ans.e)
1350
?×
= √5929 + √8281
112.5
? ×12 = 77 + 91 = 168
⇒ ? = 14
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
68
@Crossword2022
108. Ans.a)
18750
20 × 5 = ?
? = 100
118. Ans.d)
4 ×? = 231 + 424 ⇒ ? = 163.75
119. Ans.a)
? = 9 + 28 + 4 – 7 = 34
120. Ans.d)
= 36 × 11 + 59 × 6
√?
18750
⇒
= 396 + 354
√?
18750
⇒ √? =
= 25
750
? = 625
109. Ans.a)
729 216 × 72
3? =
×
= 81
243
576
3? = 34 ⇒? = 4
110. Ans.e)
? = 114 × 8 + 24 − 144
= 792
111. Ans.b)
2 3 1 1
? = (3 + 4 + 2 − 5) + ( + + − )
3 5 2 6
20 + 18 + 15 − 5
48
3
=4+(
)=4+
=5
30
30
5
112. Ans.e)
? = (1728) ÷ (144)
? = 12
113. Ans.d)
?% of 125 + 225 = 256 –
?
100
?
100
?=
17
5
×
70
17
×
40
7
?
× 125 =
3
5
5
× 125 =
3
5
?=
100
?=
125
102×100
24
? = 425
122. Ans.a)
50
7.8 +
× 64.4 = 49 – ?2
100
7.8 + 32.2 = 49 – ?²
?² = 49 – 40
?² = 9
?=3
123. Ans.b)
? = 6/5 of 8/7 of 420
? = 6/5 × 8/7 × 420
? = 576
124. Ans.d)
× 450= 36000
4
× × 3430
7
1350 ×
4
× × 3430
× 450 +
15×100
100
21
100
× 250 −
1
25
×
50
100
× 1700 =
?
100
× 2700
⇒ ? = 1700
125. Ans.e)
7
? × 25 = 1176 ⇒ ? = 47.04
116. Ans.d)
13
× 125 = 15
24
×? = 1830
100
24
×? = 1830 – 1728
? × 25 = 1176
?
× 125 = 256 – 16 – 225
1728 +
115. Ans.a)
5
× 640
? = 12
121. Ans.c)
114. Ans.e)
?=
2.5
100
1330 +
24
100
26
100
× 1800 – 1190 = ? × 50 – 1742
1330 + 468 – 1190 + 1742 = ? × 50
× 80
2350
= 58.5 + 52.5 − 19.2 = 91.8
117. Ans.d)
(16 × 25) ÷ 20 = ? ÷ 5
400 ÷ 20 = ? ÷ 5
50
=?
? = 47
126. Ans.a)
1900 – (2600 ×
8
13
+ 1740) + ? =
80
100
× 700
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
69
@Crossword2022
1900 – 3340 + ? = 560
? = 2000
127. Ans.d)
?=
104
100
× 150 +
7
? = 156 +
10
70
100
×(
138. Ans.e)
?=
50
3×100
? = 37 + 35 = 72
128. Ans.b)
= (? )3 −
21
100
90
100
× 2400 + 640
×2000-26
2150 = 1800 + ?
? = 2150 − 1800 = 350
141. Ans.a)
750 + 5880 − 6890 = 9000 − ?
? = 9000 − 6440
= 2560
142. Ans.c)
32× 25 + 44 × 18 + 348 ÷ 6 = ?
? = 8002 + 792 + 58 = 1650
143. Ans.c)
850 + 2160 + 640 = (?)³ – 420 – 26
(?)³ = 4096
? = 16
129. Ans.b)
35 ÷ 7 × 342 =?
Or, ? = 1710
130. Ans.a)
805 + 187 + 2? = 1000
Or, 2? = 8
Or, ? = 3
131. Ans.d)
18? = 187.9 × 180.1 ÷ 184
Or, ? = 7.9 + 0.1 - 4 = 4
132. Ans.a)
150% of (360 ÷ 1.5) = √? + 280
1.5 × 240 = √? + 280
√? = 360 – 280
? = 802
? = 6400
133. Ans.e)
88.2 − 4 = 10−?
Or, ? = -74.2
134. Ans.b)
?=
33670
518
√1225 × 28 + 203 × 7 = (? )2
(? )2 = 35 × 28 + 203 × 7
= 980 + 1421
= 2401
? = √2401 = 49
144. Ans.a)
? = (28 × 16 - 28)/30 = (448 - 28)/30
= 420/30 = 14
145. Ans.a)
? = (15 × 680/100) + (45 × 340/100)
= (10200/100) + (15300/100)
= 102 + 153 = 255
146. Ans.c)
(?)2 = 382 - 39 - 93
= 1444 - 39 - 729 = 676
So, ? = 26
147. Ans.b)
?2 = (3 × 60 × √144)/(∛3375)
= 3 × 60 × 12/15
= 144 = 122
So, ? = 12
148. Ans.e)
? ≈ (40 × 400/100) + (15 × 620/100)
= 65
135. Ans.a)
?=
8104.32
100.8
×
100
120
= 67
136. Ans.b)
?2 = 21025 − 3136 − 3869 − 8836 = 5184
Or, ? = 72
137. Ans.c)
?=
1024×4
256×0.5
=5
139. Ans.b)
203 = 8000, 33 = 27, 73 = 343
3
3
3
? = √8000 + √27 − √343
= 20 + 3 - 7 = 16
140. Ans.d)
14400 ÷ 36 + 15600 ÷ 12 + 450 = 1800+?
400 + 1300 + 450 = 1800+?
× 180 + 20 ) – 119
(50) − 119
526 + 324 +
42875×12
70×25×58.8
= 32
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
70
@Crossword2022
= (16000/100) + (9300/100)
= 160 + 93 = 253
149. Ans.c)
3
2
1
23
2 +3 −1 −1
= ?
5
3
2
30
13 11 3 53
?=
+
− −
5
3 2 30
?= 3
150. Ans.b)
3×4−2+9= ?
? = 19
151. Ans.d)
8 × 16 × 16 ×
= (2)?−2
8×8
⇒ (2)?−2 = (2)9 ⇒? − 2 = 9
⇒? = 11
152. Ans.e)
39 38
×
× 100 = ? × 10
13 19
? = 60
153. Ans.a)
3
7
× 250 +
× 750 − 75 = (? )2
20
20
75
[1 + 7] − 75
2
= (? )2
? = 15
154. Ans.b)
60 − 10
=?
2.5
? = 20
155. Ans.d)
10000 = ? × 40
? = 250
156. Ans.a)
9× 3 + 1107+42 = ?
? = 1176
157. Ans.e)
299+999+302 = ?
? = 1600
158. Ans.b)
493+287-334+54
= ?× 5
? =100
159. Ans.e)
√5776 − √1444 + √729 = 43 + ?
76 − 38 + 27 = 43+?
? = 65 − 43 = 22
160. Ans.a)
78 × 26 ÷ 6 + 1262 = 1311 + (? )2
2028 ÷ 6 + 1262 = 1311 + (? )2
338 + 1262 = 1311 + (? )2
(? )2 = 1600 − 1311 = 289
? = √289 = 17
161. Ans.a)
17 + 13 + 47 = ?
? = 77
162. Ans.b)
?3 = 8 + 4 × 14 = 43
?= 4
163. Ans.d)
? = 270 − 89 = 181
164. Ans.d)
19 29 27
? =( +
− )
12 12 16
37
?=
16
165. Ans.e)
? = 132 + 264
= 396
166. Ans.b)
42
× 650 + 243– √?
100
= 2 × (4)4
273 + 243 – √? = 2 × 256
√? = 516 – 512
√? = 4
? = 16
167. Ans.d)
?
100
× 750 + (15)2 = (8)2 +356
?
× 750 + 225 = 64 + 356
100
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
71
@Crossword2022
?
× 750 = 195
100
195 × 100
?=
750
? = 26
?
65
+
× 260 = 199
24 100
?
= 199 − 169
24
? = 30 × 24
? = 720
174. Ans.e)
25
2.46 × 15 +
× 92.4 = 15 × ?
100
36.9 + 23.1 = 15 × ?
60
?=
15
?=4
175. Ans.d)
1387 – 433 + ? = 961
168. Ans.e)
728
24
× 15 +
× 550– 38 = 484
?
100
728 × 15
= 484 + 38– 132
?
728 × 15
?=
390
? = 28
169. Ans.a)
? = 961 – 954
36 ×? +33 × 4 + √441 =
?=7
(21)2
176. Ans.b)
128 4
+ × 4 = ? + 10
2
2
64 + 8 = ? + 10
? = 62
36 ×? = 441– 21– 132
288
36
?=8
?=
170. Ans.b)
568 + 330 –
(12)2
177. Ans.c)
11
+ 9+? = 27
11
1 + 9+? = 27
? = 17
178. Ans.b)
(3)2 × (3)6 × ((3)2 )2 ÷ (33 )2
8
=
×?
100
8
×? = 898– 144
100
?=
754×100
8
? = 9425
32+6+4 312
⇒ 6 = 36
36
3
179. Ans.b)
171. Ans.b)
26
?
× 250 +
× 640 = 225
100
100
65 + 6.4×? = 225
6.4×? = 160
160
?=
6.4
? = 25
172. Ans.c)
299 + 121 - ? = 361
? = 420 – 361
? = 59
⇒
123 + 447 − 170 + 500 = ? − 200
570 − 170 + 500 + 200 = ?
? = 1100
180. Ans.b)
196 + 179 + 25 = (? )2
(? )2 = 400 = 20
181. Ans.a)
1484 ÷ 28 + 1462 ÷ 34 − 12 × 7 = ?
? = 53 + 43 − 84 = 12
173. Ans.d)
182. Ans.c)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
72
@Crossword2022
42.5 × 15 + 37.5 × 25
192. Ans.a)
3
5
5
3
5
6
8
2
1 × × of ×? = 150
= 1420 + ?
8 5 15
× ×
×? = 150
5 6 16
? = 120
193. Ans.b)
2.16 × 31.25
27
? = 2.5
194. Ans.d)
6080 ÷ 19 = ? %of 256
256
320 = ? ×
100
? = 125
195. Ans.e)
48
4
× 625 × = ?
100
3
? = 400
196. Ans.c)
0.075×88-1.9=?
?=6.6-1.9
?=4.7
197. Ans.d)
4
× 1080 ÷ 5 + 28 = ?
9
? = 96 + 28 = 124
198. Ans.c)
≈ 65% × 480 − ? + 175 = 350
637.5 + 937.5 = 1420 + ?
? = 1575 − 1420 = 155
183. Ans.a)
2450 + 3760 − 3830 = 6000 − ?
2380 = 6000 − ?
? = 6000 − 2380 = 3620
184. Ans.d)
(60% of ?) + (150% of 180)
= (50 × 6)
? × 0.60 + 270 = 300
? × 0.60 = 30
? = 30 ÷ 0.6
? = 50
185. Ans.b)
We note that 33.33% = 3/9, 66.66% = 6/9
So, ? = 189 x (3/9) + 99 x (6/9)
= (9 x 21) x (3/9) + (9 x 11) x (6/9)
= (3 x 21) + (6 x 11) = 129
186. Ans.c)
(?)2 = 152 + 122 - 8
= 225 + 144 - 8
= 361
? = 19
187. Ans.b)
? = √961 + √1225 + √576
= 31 + 35 + 24 = 90
188. Ans.d)
? = (5 x 340/100) + (25 x 780/100)
= (1700/100) + (19500/100) = 17 + 195 =
212
189. Ans.d)
512 ÷?× 6 = 192
512 × 6
?=
= 16
192
190. Ans.a)
432 ÷ 48 × 602 ÷ 86 = ?
9×7=? =63
191. Ans.b)
3
×? − 28 = 89
8
? = 312
≈ ? = 137
199. Ans.c)
? = 3045 ÷ 87 – 54 = 35 – 54 = -19
200. Ans.a)
? = (12 × 201 × 264)/(67 × 66)
= 12 × (201/67) × (264/66)
= 12 × 3 × 4
= 144
201. Ans.c)
712 = 5041, 242 = 576, 642 = 4096
? = √5041 + √576 - √4096
= 71 + 24 - 64 = 31
202. Ans.c)
? = 25(0.26 + 0.24) = 250.50 = 251/2
Since, 251/2 = 5, ? = 51 = 5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
73
@Crossword2022
203. Ans.b)
? = 342 - 382 + 312
= 1156 - 1444 + 961
= 673
204. Ans.d)
183 = 5832, 143 = 2744, 63 = 216
3
3
3
? = √5832 − √2744 − √216
= 18 - 14 - 6 = -2
205. Ans.e)
? = (29 × 31 - 24)/35
= (899 - 24)/35
= 875/35 = 25
206. Ans.c)
? = 362 - 282 - 392
= 1296 - 784 - 1521
= -1009
207. Ans.d)
(?)2 = 332 - 36 - 93
= 1089 - 36 - 729 = 324
So, ? = 18
208. Ans.e)
We note that 55.55% = 5/9, 57.14% = 4/7
So, ? = 45 × (5/9) + 91 × (4/7)
= (9 × 5) × (5/9) + (7 × 13) × (4/7)
= (5 × 5) + (4 × 13) = 77
209. Ans.b)
1
1
1
1
1
? +2 + 1 = 1 + 4 + 7
2
4
8
2
4
1 1 1 1 1
? = (1 + 4 + 7 – 2 – 1) + [ + + – – ]
8 2 4 2 4
1 73
?= 9 =
8
8
210. Ans.d)
69 + (5)² × (2)² = (?)²
169 = (?)²
(?)² = (13) ²
∴ ? = 13
211. Ans.c)
180 × 170
= 918 + 612
16 ×?
180 × 170
?=
16 × 1530
? = 1.25
212. Ans.e)
(?)² = 621 + 144 + 100 – 576
(?)² = 289 = (17)²
? = 17
213. Ans.e)
? = (780) ÷ (2820 – 2780)
? = 780 ÷ 40 = 19.5
214. Ans.c)
25
× 360 + 50 = ?2 + 40
100
?2 = 140 − 40
? = 10
215. Ans.d)
40
324 +?2 =
× 1450
100
2
324 +? = 580
?2 = 256
? = 16
216. Ans.a)
56
13
+ 512 =
× 4000
?
100
56
= 520 − 512
?
?= 7
217. Ans.b)
√841 + √1296 − √1024 = √?
29 + 36 − 32 = √?
√? = 33
? = (33)2
= 1089
218. Ans.b)
?3 × 6 + 8 = 170
?3 × 6 = 162
?3 = 27
?= 3
219. Ans.e)
51 7
+ − ?= 4
12 4
51 + 21
?=
−4
12
?= 6 −4 = 2
220. Ans.a)
34 × 2 × 31 ×
1
31
= ? − 30.
? = 68 + 30
? = 98
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
74
@Crossword2022
221. Ans.c)
101 + 154 + 26 = 281
222. Ans.b)
15.5 × 28 ×
1
112
+ 1230 ×
230. Ans.a)
2652 − 441 + 928 –
1
240
= ? ×
13
9
2652 − 441 + 928 – 225 – 961 = ?
? = 1953
231. Ans.c)
5
1
9240 × = 330
?
? = 28
232. Ans.e)
× 378 – 241 = ?
1
17
? = 153 + 546 – 241
? = 458
224. Ans.c)
1
8
× 3375
= ? + 961
1
31 41
1
+
=?×
8
8
5
72
?=
×5
8
? = 45
223. Ans.d)
9 × 17 +
1
15
1
1
7
4
× 4913 − 225 = (? )2
(? )2 = 64
?=8
233. Ans.b)
? × 1211 = 24220
? = 20
234. Ans.d)
× 928– × 980 + 144 × = ?
116 – 140 + 36 = ?
? = 12
225. Ans.b)
36
15
?= (
× 5000) ÷ (
× 1800 + 90)
100
100
1800
= (1800) ÷ (270 + 90) =
=5
360
226. Ans.c)
525
+ 2300 + 40
?
= 1810 + 1580
525
= 3390 – 2340
?
525
?=
= 0.5
1050
227. Ans.a)
256 + 441 – 169 + (?)² = 852
(?)² = 852 – 528 = 324
? = ±18
228. Ans.a)
1 1 1 2 1
? = (12 – 7) + ( + + – – )
5 8 2 5 4
8 + 5 + 20 – 16 – 10
7
=5+(
) =5
40
40
240 × 300 ×
1
240
= ? + 240
? = 300 – 240
? = 60
235. Ans.b)
5
4
× 92– 16+? = 101
99+? = 101
?=2
236. Ans.d)
1
3
3
7
23
2
4
4
8
8
(3 + 4 + 9 + 6) + ( + + + ) = ? +
22 +
23
23
= ? +
+ 19
8
8
?=3
237. Ans.e)
34 − 12 + 178 − (? )2 = 45 + 55
200 − 100 = (? )2
(? )2 = 100 = 10
238. Ans.a)
3996 − 3721 − (? )2
= 3150 − 100 − 3000
275 − (? )2 = 50
(? )2 = 225
? = 15
229. Ans.b)
14 × 21
14 × 21
= 4 ?=
= 4.9
15 ×?
15 × 4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
75
+ 19
@Crossword2022
239. Ans.e)
? = 1615 ×
14 + 289 − 3 = ? − 632
? = 932
240. Ans.a)
4845 + (?)² = 4989
(?)² = 144
? = 12
241. Ans.c)
1
5760 ×
× 15 =?
45
? = 1920
242. Ans.b)
1863 – 187 = ?
? = 1676
243. Ans.c)
25639 – 8484 = ?
? = 17155
244. Ans.b)
1 3 2 3
? = (2 + 3 – 1 + 3) + ( + – + )
4 5 3 4
15 + 36 – 40 + 45
56
?= 7 +(
)=7+
60
60
14
14
=7+
=7
15
15
245. Ans.a)
27
100
? = 38
250. Ans.d)
195
39 × 39
⇒
× 78 = ? ⇒ ? =
1000
100
⇒? = 15.21
251. Ans.b)
168 625 1
×
= ×?
10 100 5
? = 21 × 5 × 5
? = 105 × 5
? = 525
252. Ans.a)
441 × 49 × 9 = (?)²
? = 21 × 7 × 3
= 441
253. Ans.c)
4 × 3 × 121 = ?
? = 1452
254. Ans.e)
1
38 ×
+ 3.5 × 4 = (? )2
19
2 + 14 = (?)²
? =4
255. Ans.a)
3375 + 11 = (?)² – 95
(?)² = 3481 ⇒ 59
256. Ans.b)
60
× 300 + ? = 256
100
180 + ? = 256
? = 76
257. Ans.c)
32.12 + 34.18 + 27.7
= 47 × ?
47 × ? = 94
?=2
258. Ans.e)
1 1
384 × × = (2)?
4 3
(2)? = 32
(2)? = (2)5
?=5
× 450 – 76.5 = (? )% of 375
121.5 – 76.5 = ? × 3.75
45
=?
3.75
? = 12
246. Ans.d)
5287 – 2482 = ?
? = 2805
247. Ans.a)
3 21 11
? = 12 +
×
5 5
3
63
77
140
?= +
?=
= 28
5
5
1
50 × 0.85
5
248. Ans.b)
24 × √? = 864
√? = 36
? = 1296
249. Ans.c)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
76
@Crossword2022
?
145
× 500 =
× 780
100
100
1231 − 5 ×? = 1131
259. Ans.a)
1
3
2
1
2
4
3
6
1231 −
? = (1 + 2 – 5 + 4) + ( + – + )?
3
3
= 2 + ?= 2
4
4
260. Ans.b)
? = 6526 – 596 – 4683 – 1200
? = 47
261. Ans.a)
2 3 4 125
× × ×
×? = 1112
3 5 5 100
? = 556 × 5
? = 2780
262. Ans.d)
1
780 ×
+ (? )2 = 1326
26
(? )2 = 1326 − 30
(? )2 = 1296 = 36
263. Ans.c)
8153.14 - ? = 7592.14
? = 561
264. Ans.b)
3 5 1
19
1  2  3     ?
5 6 6
15
? = 100 ×
1
5
? = 20
269. Ans.e)
41
× 208 + 786 = 2000 − ?
8
41 × 26 + 786 = 2000 - ?
? = 2000 – 1066 – 786 = 148
270. Ans.a)
√360 − 450 + 379 = √289 = 17
271. Ans.c)
3? = (32 )3 × (34 )3
= 36 × 38 ÷ 39 = 35
Or, ? = 5
272. Ans.b)
2? = 572 ÷ 26 = 22 × 12
= 264 – 200 = 64 = 26
Or, ? = 6
273. Ans.a)
1
7
2
12
? = (4 + 1 – 2) + ( +
18  25  5
19
0
 ?
30
15
5
− )
6
6 + 7 − 10
1
=3+(
)=3
12
4
274. Ans.e)
2568 ÷ 24 × 12 of 24 ÷ 4 = 720 of ?%
107 × 288 ÷ 4 = 720 of ?%
107 × 72 = 720 of ?%
? = 7704 × 10/72 = 1070
275. Ans.a)
38 15

=1
30 19
265. Ans.b)
136 − 96 + 61 101
?=
=
= 0.5
36 + 45 + 121 202
266. Ans.d)
1
464 ×
+ 4.5 = ?
16 × 2.32
100
+ 4.5 = ?
8
? = 12.5 + 4.5
? = 17
267. Ans.a)
(5863 − 52) × 0.5 = ? + 2601
5811 × 0.5 – 2601 = ?
? = 2905.5 – 2601
? = 304.5
268. Ans.c)
?
2
(40% = ) of 265 + (35% of 180
5
= 180% of 35) = 50% of ?
9
⇒ 106 + (180% = ) of 35 = 50% of ?
5
⇒ 106 + 63 = 50% of ?
⇒ ? = 169 × 2 = 338
276. Ans.e)
1
Hint: 460 × 15 = 460 × 10 + × 4600 – 100
2
= 4600 + 2300 – 100
= 6900 – 100 = 6800
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
77
@Crossword2022
277. Ans.d)
5163 + 3209 = 8372 – 4018 = 4354
278. Ans.b)
21
5
×
10
3
288. Ans.a)
5
150+ 270 – 105 × 6 × = ? − 105 − 232 × 7
3
⇒? = 420 − 1050 + 105 + 1624 = 1099
289. Ans.c)
+ ? = 24
? = 24 – 14 = 10
279. Ans.c)
4848 ÷ 24 = 202,
202 × 11 = 2222, 2222 – 222 = 2000
280. Ans.a)
1750
× 50 + 111 ≈ (? )2
350
? = 19
281. Ans.a)
2 15 9
?=
×
× + 88 × 26 + 562
15 18 7
1
= + 2288 + 562
7
1
= 2850
7
282. Ans.e)
3 1
100
× × 920 ×
= ?
4 5
650
? = 21.23
283. Ans.c)
63000
525
285×
600
? = 86 +
1396 + 412 − 2704 ≈? − (31)2
? ≈ 961 − 896 ≈ 65
290. Ans.b)
3840 1440 1330
√
+
−
60
40
70
= √64 + 36 − 19
= √81 = 9
291. Ans.c)
4200 525
25 × 18 +
−
= 740−?
40
105
450 + 105 − 5 = 740 − ?
? = 740 − 550
= 190
292. Ans.d)
3845 + 43820 + 2640 − 5965 = (? )2
(? )2 = 10865 − 5965
= 4900
? = √4900
= 70
293. Ans.b)
400 ÷ 20 × 35 + 6666 ÷ 33+? = 1100
20 × 35 + 202 + ? = 1100
= ? −86
285 × 63000
= 143
525 × 600
284. Ans.a)
? = 4 × 8888 ×
? = 1100 − ( 700 + 202)
= 1100 − 902
= 198
294. Ans.b)
28 × 14.5 + 1680 ÷ 15 + 445
= 1000−?
406 + 112 + 445 = 1000 − ?
112 100
×
100 110
= 36198.4
285. Ans.b)
5 × 18 × 500
1
?=
=
45 × 3276000 3276
286. Ans.a)
13 × 5700 26
?=
=
15 × 8550 45
287. Ans.d)
600
[1716 − 875]
?=
50
600
= 841 ×
= 10092
50
963 = 1000 − ?
? = 1000 − 963 = 37
295. Ans.c)
√(256) × √169 + 3600 ÷ 12 = 800 − ?
16 × 13 + 300 = 800 − ?
208 + 300 = 800 − ?
? = 800 − 508 = 292
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
78
@Crossword2022
296. Ans.a)
? = 37.5 × 14 + 800 − (26)2 + 136
? = 525 + 800 − 676 + 136
? = 1325 − 540 = 785
297. Ans.d)
5430+3780-6430=2260+?
9210-6430=2260+?
2780=2260+?
?=2780-2260=520
298. Ans.e)
2160÷12+5740÷14-3150÷15+?=400
180+410-210+?=400
590-210+?=400
?=400-380 = 20
299. Ans.a)
⇒ 55.4+4.2 – 6.4 = 52×?
⇒ 53.2 = 52×?
⇒ 2 ×? = 3.2
3.2
⇒ ?=
= 1.6
2
305. Ans.d)
?=
= 120
306. Ans.d)
? 60 – 40
=
5
2
⇒ ? = 5 × 10 = 50
307. Ans.c)
621
× 2 – 37
√? =
27
= 46 – 37 = 9
⇒ ? = 9 × 9 = 81
308. Ans.d)
250 × 36 50 × 18
×
=? +10
100
100
⇒ 810 = ? + 10
∴ ? = 810 – 10 = 800
309. Ans.b)
49– 36 18
=
26
?
13 18 1 18
⇒
=
⇒ =
26
?
2
?
⇒ ? = 2 × 18 = 36
310. Ans.e)
(480 – 75% of 240) ÷ 20 = ? – 85
(480 – 0.75 × 240) ÷ 20 = ? – 85
(480 – 180) ÷ 20 = ? – 85
300 ÷ 20 = ? – 85
? = 15 + 85
? = 100
311. Ans.a)
715 + 305 – (15 ×18) = ? × 25
715 + 305 – 270 = ? × 25
? = 750 ÷ 25
? = 30
312. Ans.b)
40% of 550 + 217 – 37 = ?2
220 + 217 – 37 = ?2
?2 = 400
? = 20
√3481 × 7 + √5625 × 4 = 500 + ?
59×7+75×4=500+?
413+300=500+?
?=713-500
=213
300. Ans.a)
220 + 340 + ? =
1
18
√400×42
= 20 × 6
7
× 2700 + 400
? = 150 + 400 – 220 – 340
? = –10
301. Ans.a)
(15% of 720) - ? = (125% of 60)
? = 0.15 × 720 – 1.25 × 60
? = 108 – 75
? = 33
302. Ans.b)
1620 – (27 × 20) = ? × 9
1620 – 540 = ? × 9
? = 1080 ÷ 9
? = 120
303. Ans.a)
? = √1714 + 260 – 950
? = √1024 = 32
304. Ans.c)
(52 )2.7 × 54.2 ÷ 56.4 = (52 )?
55.4 × 54.2
⇒
= 52×?
56.4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
79
@Crossword2022
? = 242 = 576
323. Ans.b)
3? = √1800 − 1300 + 229
313. Ans.a)
15 × 28 + 14 × 5 + 15 × 32 = ? + 420
420 + 70 + 480 – 420 = ?
? = 550
314. Ans.b)
25% of 40% of 50% of 800 + 24 = ?3
40 + 24 = ?3
?3 = 64
?=4
315. Ans.e)
(√784 ÷ 7) × 115 = ?2 – 15% of 160
4 × 115 = ?2 – 0.15 × 160
460 + 24 = ?2
?2 = 484
? = ± 22
316. Ans.c)
32% of 3500 + 28% of 2500 = ?% of 7280
32 × 35 + 28 × 25 = ?% of 7280
1120 + 700 = ?% of 7280
1820 = ?% of 7280
? = 25
317. Ans.a)
= √729 = 27 = 33 ⇒ ? = 3
324. Ans.e)
?2 = 8973 − 2378 + 1577 − 4572
?2 = 3600 ⇒ ? = 60
325. Ans.b)
?=
2
9
1
3
1
3
4
4
+ −
2
1
2
2
1
1
3
9
3
9
2
4
4
327. Ans.e)
?=
252
23
×
276
630
×
55
12
× 18 = 396
328. Ans.b)
? = 33 + 93 = 126
329. Ans.c)
512 64
(2)?+2 =
×
×8
32 128
29 × 26 × 23
=
= 29+6+3−5−7 = 26
25 × 27
? +2 = 6 ⇒ ? = 4
330. Ans.d)
? = (6² - 3²)× (8² - 4²) ÷ (10.5² - 1.5²)
(6 + 3) × (6 − 3) × (8 + 4) × (8 − 4)
?=
(10.5 + 1.5) × (10.5 − 1.5)
9 × 3 × 12 × 4
?=
= 12
12 × 9
331. Ans.b)
4750
?
30
35% of 540 + 410% of 30 = 39% of ?
130% × 850 – 175% × 460 =
× ?
100
30
? ×
= 1105 − 805 = 300
100
? = 1000
321. Ans.d)
65
2
9
? = 9 + 5 + + + − − + = 15
4750
?=
= 9.5
500
320. Ans.b)
72
1
(7 + 6 − 4) + ( + − ) = ? − 5 + 4 − 4 −
318. Ans.a)
(40% of ?) + (120% of 125) = 240
? × 0.40 + 150 = 240
? × 0.40 = 90
? = 90 ÷ 0.4
? = 225
319. Ans.a)
40
= 50
52×180×45
326. Ans.e)
? = √5125 – 289 – 75 = √4761 = 69
250 + 283 – 157 + 24 + 100 =
2106×100×100
189 + 123 =
39
100
× ?
312 × 100
= 800
39
332. Ans.e)
5
?2 = 40% of
× 352
11
2 5
?2 = ×
× 352 = 64
5 11
⇒ ?= 8
?=
121
? × = × ×
3
11
9
13
3
?=
× 8 × 5 × 11 = 33
40
322. Ans.c)
1872
√? = 12×6.5 = 24
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
80
@Crossword2022
333. Ans.a)
11 195 132
? ×
=
×
15 108 65
?=5
334. Ans.c)
342. Ans.b)
25÷4×6
3
343. Ans.c)
(390 + 310 – 225) 4 = ?
(700 – 225) 4 = ?
475 × 4 = ?
? = 1900
344. Ans.e)
9 × 25 + 1225 + 150 = (?)²
225 + 1225 + 150 = (?)²
? = √60% of 850 + 80% of 550 − 83 × 2
= √510 + 440 − 166 = √784 = 28
335. Ans.e)
(√1444 + √676) 38 + 26
=
4
4
64
=
= 16
4
?=4
336. Ans.d)
64 × 288 × 16
?2 =
256 × 36
= 32 = 25
?=5
337. Ans.b)
?2 =
? = √1600 = 40
345. Ans.c)
1
1
4900 ×
× 444 ×
– 6450 = (? )2
28
12
⇒ 6475 – 6450 = (?)² ⇒√25 = ? ⇒ ? = 5
346. Ans.a)
38
85
× 250 –
× 560 + 13 × ? = 61
100
100
⇒ 95 – 476 + 13 × ? = 61
⇒13 ×? = 61 + 381 ⇒ ? = 34
347. Ans.e)
19 21 3 1
3
×
× – =? –
9 19 7 2
2
1
3
1– =? –
2
2
?=2
348. Ans.b)
26
12√? –
× 1650 + 19 = 13 × 34
100
12√? – 429 + 19 = 442
3
90% of ? = √576 ÷ √64 × √729
24 27
?=
×
× 10
4
9
? = 180
338. Ans.a)
? = 40% of 320 +
43
18
×
108
8
= 128 + 48 = 176
339. Ans.d)
60 152
×
×? = 33 × 42
100 19
27 × 16 × 100 × 19
⇒? =
= 90
60 × 152
12√? = 871 – 19
852
= 71
√? =
12
? = 5041
349. Ans.d)
535
26 63 5
× 720 × [ ×
× ] =?
1000
28 39 9
? = 321
350. Ans.a)
215 142
74
+
− ?=
9
9
9
283
4
?=
= 31
9
9
340. Ans.c)
3.5 × 18 – (?)² = 36 + 2
63 – 38 = (?)²
25 = (?)²
?=5
341. Ans.b)
?=
2975
1190
= ? = 12.5
= 2.5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
81
@Crossword2022
351. Ans.c)
165
1
× 18 ×
× 11 + 48 = (? )2
10
27
(?)² = 11 × 11 + 48
(?)² = 121 + 48
(?)² = 169
?= 13
352. Ans.b)
101 + 1001 = ? + 841 = 261
353. Ans.a)
1
9240 × = 440
?
9240
?=
= 21
440
354. Ans.e)
? × 1211 × 5
= 24220
24220
?=
1211 × 5
?= 4
355. Ans.b)
1
1
? = (30 × 8) × (12 × 4) ×
×
× 289
(17 × 10) 96
? = 204
356. Ans.e)
1
√31 + 29 − 25 × × √35 = ?
5
1
? = √35 × × √35
5
?=7
357. Ans.d)
1
40
5
(? )2 ×
=
×
× 400
352 100 11
40 × 5 × 4 × 352
(? )2 =
= 25600
11
(? )2 = (160)2
? = 160
358. Ans.c)
60
× 32 ×? = 27 × 16
100
27 × 16 × 10
?=
= 22.5
6 × 32
359. Ans.b)
1
1
× ? = 33 ×
× 24
8
11
? = 24 × 24 = 576
360. Ans.b)
59.98 = ? – 15.81
? = 75.79
361. Ans.d)
1863 - ? = 202.64
? = 1660.36
362. Ans.c)
44.5 − 5.5 = √?
√? = 39
? = (39)² = 1521
363. Ans.a)
22 + 93 + 361 = 441 + 33 + ?
476 – 474 = ?
?=2
364. Ans.d)
(1520 of 25% + √256) ÷ 9 × 4 = ?
(380 + 16) ÷ 9 × 4= ?
396 ÷ 9 × 4 = ?
? = 44 × 4 = 176
365. Ans.a)
6526 – 596 – ?
= 4683
? = 1247
366. Ans.b)
3 14 34
×
×
= (? )2
25 17 21
4
(? )2 =
25
2
? = = 0.4
5
367. Ans.b)
34
45
× 250 −
× 340 + 150 = ?
100
100
85 – 153 + 150 = 82
368. Ans.a)
17 53
91
252
×
×
= ? ×
19 221 106
4
7
252
= ? ×
19 × 2
4
252 19 × 2
?=
×
4
7
? = 18 × 19
? = 342
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
82
@Crossword2022
369. Ans.c)
377. Ans.c)
4 2 2 1 1 1
(1 + 3 + 2 + 1 − 1 − 1) + ( + + + − − ) =?
5 5 3 6 9 6
2
5
45
370. Ans.a)
3
× 4200 + 625 + 1000 – 700 = (? )2
8
(?)² = 1575 + 625 + 1000 – 700
= 2500
? = 50
371. Ans.c)
? +62.5
+ 360 – 144 – 20 = 169 + 87
3
? + 62.5 = (169 + 87 + 144 + 20 – 360) × 3
? = 180 – 62.5 = 117.5
372. Ans.d)
270 + 121 – √? = 361
√? = 30 = 900
373. Ans.b)
624
+ 21 + 27 = 36 + 220
?
624
= 208
?
624
?=
=3
208
374. Ans.a)
?
1
1
× 625 + × 750 +
× 5500 – 25
100
3
11
= 1000
? × 6.25 + 250 +500 – 25
= 1000
? × 6.25 = 275
? = 44
375. Ans.d)
1645 + 1500 + ? = 3600
? = 455
376. Ans.e)
2450 – 1540 + 1700 – 710
?
100
1
3
× 3300 + ?
530 + 299 + 271 = 1100 + ? ⇒ ? = 0
378. Ans.c)
(7142 – 5684 + 781 – 239) ÷ 4 = ?
2000/4 = ?
? = 500
379. Ans.d)
2250 + 270 – 20 + 125 + ? = 3600
? = 975
380. Ans.c)
(2/5){(3/5) × 750 + 40% of 375}
= ? × 16
(2/5){3 × 150 + 0.40 × 375} ÷ 16 = ?
(450 + 150) ÷ 40 = ?
? = 600 ÷ 40
? = 15
381. Ans.a)
(42% of 1500 – 230) ÷ 25 = ? ÷ 4
(0.42 × 1500 – 230) ÷ 25 = ? ÷ 4
(630 – 230) ÷ 25 = ? ÷ 4
(400 ÷ 25) × 4 = ?
16 × 4 = ?
? = 64
382. Ans.d)
{(420 ÷ 28)% of 1400} ÷ 7 = ?
(15% of 1400) ÷ 7 = ?
(0.15 × 1400) ÷ 7 = ?
210 ÷ 7 = ? ? = 30
383. Ans.c)
(15 × 16) + 242= ? × 16
(240 + 576) ÷ 16 = ?
816 ÷ 16 = ?
? = 51
384. Ans.a)
(2/5)(32% of 4500 – 440) = ? × 8
(0.32 × 4500 – 440) ÷ 20 = ?
? = (1440 – 440) ÷ 20
? = 1000 ÷ 20
? = 50
72 + 36 + 60 + 15 − 10 − 15
90
34
?= 5 +1
45
34
?= 6
?= 5 +
=
× 1325 + 299 + 271 =
× 1900
? × 19 = 1900 = 100
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
83
@Crossword2022
385. Ans.b)
(6/7) × 1050 – (3/8) × 1200 = ?% of 750
900 – 450 = ?% of 750
?% = 450/750
?% = 0.6
? = 60
386. Ans.d)
35% of 1600 – 142 = ? × 14
(0.35 × 1600 – 196) ÷ 14 = ?
(560 – 196) ÷ 14 = ?
364 ÷ 14 = ?
? = 26
387. Ans.c)
(5/6){(122 + 221) – (212 + 112)}
= ? ÷ 24
(5/6) × 19 × 24 = ?
? = 5 × 19 × 4
? = 380
388. Ans.a)
(1600 – 160 – 16) ÷ 16 = ?
1424 ÷ 16 = ?
? = 89
389. Ans.e)
(16 × 15) + (45 × 12) + (30 × 24) = ?
15 × (16 + 36 + 48) = ?
15 × 100 = 1500
390. Ans.a)
(22% of 1500 + 15% of 2200) = ? × 11
(0.22 × 1500 + 0.15 × 2200) ÷ 11 = ?
(330 + 330) ÷ 11 = ?
? = 660 ÷ 11 = 60
391. Ans.c)
(342 – 20% of 5280) = ? ÷ 3
(1156 – 0.20 × 5280) × 3 = ?
(1156 – 1056) × 3 = ?
? = 100 × 3 = 300
392. Ans.d)
321 + 52 × 5 – 125 = ? × 12
321 + 260 – 125 = ?× 12
? × 12 = 456 = 38
393. Ans.e)
(78 × 15) ÷ 52 × 8 = ? + 55
22.5 × 8 – 55 = 125
394. Ans.e)
(48 × 12) ÷ 18 × 8 = 4?
4? = 8 × 32
4? = 256
4 ? = 44
?=4
395. Ans.d)
645 + 255 + 365 – 575 = ?
? = 1265 – 575 = 690
396. Ans.c)
62.5% of 640 + 45% of ? = 252
400 + 0.45 × ? = 625
0.45 × ? = 225
? = 500
397. Ans.b)
(7/8 + 7/16) × 256 – 12 = ?2
21/16 × 256 – 12 = ?2
?2 = 324 = ± 18
398. Ans.a)
16/15 of 21/28 of 321.5 = ?
16/15 × 3/4 × 321.5 = ?
4/5 × 321.5 = ?
? = 257.2
399. Ans.e)
√4096 + √3249= (?)2
64 + 57 = ?2
? = √121
? = 11
400. Ans.c)
24% of 35% of 150% of 2500 = ?
? = 0.24 × 0.35 × 1.5 × 2500
? = 315
401. Ans.c)
32% of 3500 + 28% of 2500 = ?% of 7280
32 × 35 + 28 × 25 = ?% of 7280
1120 + 700 = ?% of 7280
1820 = ?% of 7280
? = 25
402. Ans.e)
37.5% of 2016 + 25% of 3648 = ? × 12
0.375 × 2016 + 0.25 × 3648 = ? × 12
? × 12 = 756 + 912
? = 1668/12 = 139
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
84
@Crossword2022
403. Ans.d)
According to the question,
x × 20% × 5/3 × 35% + 46 = 74
x × 1/5 × 5/3 × 7/20 = 28
x = 240
404. Ans.c)
22.5% of 400 + 32% of 625 = ? + 100
9/40 × 400 + 8/25 × 625 = ? + 100
90 + 200 = ? + 100 = 190
405. Ans.d)
(315 × 81) ÷ 45 – 147 = ? × 3
7 × 81 – 147 = ? × 3
567 – 147 = ? × 3
420/3 = ?
? = 140
406. Ans.a)
√3481 + √4356= ?% of 500
59 + 66 = ?% of 500
?% of 500 = 125
? = 125 × 100/500 = 25
412. Ans.a)
16/15 of 21/28 of 321.5 = ?
16/15 × 3/4 × 321.5 = ?
4/5 × 321.5 = 257.2
413. Ans.d)
( 262144 / 4096 ) × ( 32768 / 512 ) + ?
= 5020.8
∴ ( 86 / 84 × 85 / 83 ) + ? = 5020.8
∴ 84 + ? = 5020.8
∴ ? = 5020.8 – 4096 = 924.8
? = 729 ÷ 9
? = 81
414. Ans.c)
6482.1 × 0.02 + 2281.7 – ? = 882.321 + 1439.31
∴ 129.642 + 2281.7 – ? = 2321.631
∴ 2411.342 – ? = 2321.631
∴ ? = 89.711
415. Ans.b)
33.33% of 180 + 66.67% of 321 = ? of 548
⇒ ( 1 / 3 ) of 180 + ( 2 / 3 ) of 321 = ? of 548
⇒ 60 + 214 = ? × 548
⇒ 274 = ? × 548 ⇒ ?
= ( 274 / 548 ) = ( 1 / 2 )
416. Ans.b)
√4096 + √3249 = (?)2
64 + 57 = ?2
? = √121
? = 11
417. Ans.a)
{(45 × 220) ÷ 33} + 325 = ?
{9900 ÷ 33} + 325 = ?2
?2 = 300 + 325
?2 = 625
? = 25
418. Ans.b)
(111 + 121 + 131 + 141) ÷ 21 = ?
504 ÷ 21 = ?
? = 24
√1521 + √1681= ?2 - 41
39 + 41 = ?2 – 41
80 + 41 = ?2
?2 = 121
? = ± 11
407. Ans.e)
964 + 256 - ? = 465 + ? + 121
964 + 256 – 465 – 121 = 2 × ?
? = 634/2 = 317
408. Ans.b)
(1/2 × 4/5 + 3/5 – 1/5) × 245 = ?
(2/5 + 3/5 – 1/5) × 245 = ?
? = 4/5 × 245
? = 196
409. Ans.a)
? = 45% of 2400 – 152 – 282
? = 1080 – 225 – 784
? = 1080 – 1009 = 71
410. Ans.c)
23% of ? = 25% of 448 + 12 ×√(841) – 20% of
460
23% of ? = 112 + 12 × 29 – 92
23% of ? = 112 + 348 – 92
23% of ? = 368 = 1600
411. Ans.a)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
85
@Crossword2022
419. Ans.e)
22% of 3500 – 152 = 20% of 725 + ?
0.22 × 3500 – 225 – 0.20 × 725 = ?
? = 770 – 225 – 145
? = 400
420. Ans.d)
(780 – 60)/90 = ?3
?3 = 8 = 2
427. Ans.b)
(180 ÷ 4) + (196 ÷ 7) = (?% of 30) ÷ 12
45 + 28 = (?% of 30) ÷ 12
73 × 12 = ?% of 30
? = {(73 × 12)/0.3}
? = 2920
428. Ans.a)
(80 × 15) ÷ 42 = (? ÷ 6) + 15
{(80 × 15) ÷ 16} = (? ÷ 6) + 15
? = {(75 – 15) × 6}
? = 360
429. Ans.b)
(45% of 400) – (? × 3) = (125% of 60)
180 – (? × 3) = 75
(? × 3) = 180 – 75
(? × 3) = 105
? = 105 ÷ 3
? = 35
430. Ans.c)
?% of 4200 + 1380 × 5/46 = 25% of 3120
?% of 4200 + 150 = 0.25 × 3120
? = {(780 – 150) × 100}/4200
? = 15
421. Ans.e)
13 × 8 + 13 × 12 + 13 × 16 + 13 × 20
= ?× 8
13 × (8 + 12 + 16 + 20) = ? × 8
? = (13 × 56) ÷ 8
? = 91
422. Ans.b)
737 × 3 + 363 × 2 + 11 × 33 = ? × 11
Dividing by 11
67 × 3 + 33 × 2 + 33 = ?
√784 ÷ 7 + (15 × 5) = ? – 41
3 × (67 + 22 + 11) = ?
28 ÷ 7 + 75 = ? – 41
? = 3 × 100
4 + 75 + 41 = ?
? = 300
? = 120
423. Ans.d)
? × 32 – 25% of (480 × 128) = 0
431. Ans.a)
45% of 1500 – 2 × 52= ?2
? × 32 – 0.25 × 480 × 128 = 0
0.45 × 1500 – 2 × 25 = ?2
? × 32 – 120 × 128 = 0
675 – 50= ?2
? = 480
? = 25
424. Ans.c)
432. Ans.c)
93 × (8910 ÷ 110) = (14580 ÷ 20) × ?
(32 × 25) – 202= 20% of ?
729 × 81 = 729 × ?
? = 81
(800 – 400) × 5 = ?
? = 2000
425. Ans.b)
433. Ans.e)
262 + 113 - √49 = 2 × ?3
676 + 1331 – 7 = 2 × ?3
2000 = 2 × ?3
? = 10
426. Ans.d)
65% of 1200 – 15% of 400 = ?3 × 45% of 200
0.65 × 1200 – 0.15 × 400 = ?3 × 0.45 × 200
22% of 5000 + 14% of 400 = ?2
0.22 × 5000 + 0.14 × 400 = ?2
1100 + 56 = ?2
? = 34
434. Ans.b)
73 – 132– ? = 25% of 120
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
86
@Crossword2022
343 – 169 – 0.25 × 120= ?
174 – 30 = ?
? = 144
435. Ans.d)
445. Ans.a)
Equating the powers of 12, 13 we have:
12(3/4) = 122 x 2/4 x 12a/4
12(3/4) = 124/4 x 12a/4
So, 3/4 = 4/4 + a/4
a = 4 x (3/4 - 4/4)
a = -1
13(3/4) = 134+b
b = 3/4 - 4
b = -13/4
446. Ans.d)
(0.43)113 ÷ (0.42)54 = (0.43)?
(0.4)(3x113 - 2x54) = (0.43)?
So, ? = (3x113 - 2x54 )/3 = 77
447. Ans.c)
Equating the powers of 10, 5 we have:
10(3/4) = 102 x 2/6 x 10a/5
10(3/4) = 104/6 x 10a/5
So, 3/4 = 4/6 + a/5
a = 5 x (3/4 - 4/6)
a = 5/12
5(3/4) = 56+b
b = 3/4 - 6
b = -21/4
448. Ans.c)
? = 150 x 11 + 230 x 9
= 1650 + 2070 = 3720
449. Ans.b)
80% of 2500 - ?% of 2500 = 103
(0.80 × 2500 – 1000) ÷ 25 = ?
? = (2000 – 1000) ÷ 25
? = 40
436. Ans.a)
? = (28 x 16 - 28)/30
= (448 - 28)/30= 420/30 = 14
437. Ans.a)
(540 ÷ 12) – (288 ÷ 16) = ? × 32
45 – 18 = ? × 9
27 ÷ 9 = ?
?=3
438. Ans.c)
162 – 116 = ?% of 350
256 – 116 = ?% of 350
? = (140/350) ×100
? = 40
439. Ans.a)
440. Ans.d)
(√289 + 113) ÷ 2 = ?2 – 16
(17 + 113) ÷2 = ?2 – 16
?2 = 65 + 16
? = 81
?=±9
441. Ans.c)
442. Ans.c)
? = 472 + 602 - 572
= 2209 + 3600 - 3249
= 2560
443. Ans.d)
(?)2 = 192 - 11 - 53
= 361 - 11 – 125 = 225
So, ? = 15
444. Ans.b)
We note that 12.5% = 1/8, 20%
= 1/5, 55.55% = 5/9
So, ? = 200 x (1/8) + 100 x (1/5) + 45 x (5/9)
= (8 x 25) x (1/8) + (5 x 20) x (1/5) + (9 x 5)
x (5/9)
= (1 x 25) + (1 x 20) + (5 x 5) = 70
? = (900/6) - 14 x 11 + √225
= 150 - 154 + 15 =11
450. Ans.e)
We note that 66.66% = 2/3, 77.77% = 7/9
So, ? = 33 x (2/3) + 261 x (7/9)
= (3 x 11) x (2/3) + (9 x 29) x (7/9)
= (2 x 11) + (7 x 29) = 225
451. Ans.a)
(?)2 = 162 + 322 - 55= 256 + 1024 – 55
= 1225
⇒ ? = 35
452. Ans.b)
(0.33)107 ÷ (0.32)59 = (0.31)?
(0.3)(3x107 - 2x59) = (0.31)?
So, ? = (3x107 - 2x59 )/1 = 203
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
87
@Crossword2022
453. Ans.c)
464. Ans.b)
? = (35 x 34 - 30)/40
= (1190 - 30)/40
= 1160/40 = 29
465. Ans.d)
? = 36 x 16 - 48 x 50
= 576 - 2400= -1824
466. Ans.e)
? = (45 x 580/100) - (30 x 530/100)
= (26100/100) - (15900/100)
= 261 - 159 = 102
467. Ans.e)
422 = 1764, 952 = 9025, 622 = 3844
3
?2 = (78 x 120 x √2197)/(√400)
= 78 x 120 x 13/20
= 6084 = 782
So, ? = 78
454. Ans.b)
? = 195 x 16 + 280 x 4
= 3120 + 1120 = 4240
455. Ans.c)
We note that 71.42% = 5/7, 77.77% = 7/9
So, ? = 189 x (5/7) + 306 x (7/9)
= (7 x 27) x (5/7) + (9 x 34) x (7/9)
= (5 x 27) + (7 x 34) = 373
456. Ans.e)
? = √1764 + √9025 + √38444
= 42 + 95 + 62 = 199
468. Ans.d)
? = 302 - 332 - 142
= 900 - 1089 - 196
= -385
469. Ans.a)
193 = 6859, 123 = 1728, 133 = 2197
3
3
3
? = √6859 + √1728 + √2197
= 19 + 12 + 13 = 44
470. Ans.a)
? = 168 x (27/7) - √256
= 24 x 27 - 16
= 648 - 16 = 632
? = (660/6) - 15 x 12 + √256
= 110 - 180 + 16 =-54
457. Ans.b)
? = 115 x 15 + 150 x 11
= 1725 + 1650 = 3375
458. Ans.d)
73 = 343, 133 = 2197, 143 = 2744
3
3
3
? = √343 − √2197 + √2744
= 7 - 13 + 14 = 8
459. Ans.d)
? = 362 - 452 - 242
= 1296 - 2025 - 576 = -1305
460. Ans.e)
(?)2 = 202 + 162 - 31
= 400 + 256 - 31= 625
? = 25
461. Ans.d)
? = 1024(0.18 + 0.22) = 10240.40 = 10242/5
Since, 10241/5 = 4, ? = 42 = 16
462. Ans.e)
? = 192 + 362 + 372
= 361 + 1296 + 1369= 3026
463. Ans.c)
? = 36 x (28/6) - √961
= 6 x 28 - 31
= 168 - 31 = 137
471. Ans.c)
? = 142 + 152 - 342
= 196 + 225 - 1156 = -735
472. Ans.a)
(?)2 = 322 - 6 - 93
= 1024 - 6 - 729 = 289
So, ? = 17
473. Ans.e)
(?)2 = 142 + 342 - 56
= 196 + 1156 – 56 = 1296
? = 36
474. Ans.a)
3
?2 = (10 x 16 x √100)/( √64)
= 10 x 16 x 10/4 = 400 = 202
So, ? = 20
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
88
@Crossword2022
475. Ans.e)
? = 135 x 15 + 190 x 3
= 2025 + 570 = 2595
476. Ans.e)
252 = 625, 43 = 64, 94 = 6561
? = 625 - 4 + 9
= 630
477. Ans.c)
? = (15 x 95 x 39)/(19 x 13)
= 15 x (95/19) x (39/13)
= 15 x 5 x 3 = 225
478. Ans.d)
862 = 7396, 202 = 400, 802 = 6400
? = √7396 + √400 + √6400
= 86 + 20 + 80 = 186
479. Ans.e)
? = 32(0.03 + 0.57) = 320.60 = 323/5
Since, 321/5 = 2, ? = 23 = 8
480. Ans.d)
? = 72 x (9/6) - √1681
= 12 x 9 - 41= 108 - 41 = 67
481. Ans.b)
? = (33 x 20 - 20)/40
= (660 - 20)/40= 640/40 = 16
482. Ans.d)
? = 142 + 152 - 592
= 196 + 225 - 3481 = -3060
483. Ans.a)
? = 19 x 44 - 14 x 40 = 836 - 560
= 276
484. Ans.e)
? = (35 x 460/100) + (80 x 685/100)
= (16100/100) + (54800/100)
= 161 + 548 = 709
485. Ans.c)
(?)2 = 132 + 262 - 4= 169 + 676 - 4= 841
? = 29
486. Ans.e)
3
?2 = (2 x 24 x √4)/( √216)
= 2 x 24 x 2/6= 16 = 42
So, ? = 4
487. Ans.d)
? = 175 x 8 + 310 x 5
= 1400 + 1550 = 2950
488. Ans.b)
252 = 625, 103 = 1000, 64 = 1296
? = 625 - 10 + 6 = 621
489. Ans.a)
(80% of 1400 + 70% of 2800) = ?
1120 + 1960 = ?
? = 3080
490. Ans.b)
(122 × 2 – 162) = ?
(144 × 2 – 256) = ?
288 – 256 = 32
491. Ans.b)
232 + (242 ÷ 16) + 40% of 600= ?
529 + (576 ÷ 16) + 240= ?
529 + 36 + 240 = 805
492. Ans.b)
(20% of 352) + 186 ÷ 6 – 27 × 6 = ?
(20% of 1225) + 31 – 162 = ?
245 + 31 – 162 = 114
493. Ans.a)
(16 × 9 of 2 + 152) = ?
(16 × 18 + 225) = ?
288 + 225 = ?
? = 513
494. Ans.e)
? × ( 7.5 + 14) + 100 = 169
11.5 × ? = 69
?=
69
=6
11.5
495. Ans.b)
?
80
 250  144 
 230
100
100
?
 250  184  144
100
40 100
?
250
? = 16
496. Ans.a)
4
5
1
 284   628  2?2?
8
8
4
177.5  78.5  2
??2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
89
@Crossword2022
4
503. Ans.c)
? 26
 1200  500  20
100
256  2?
4 = 2?
2 ? = 22
?=2
497. Ans.d)
84
 ? 1728  2610
100
?+ 26 =
480
12
?=14
504. Ans.b)
4
×9646-24% of 1900 + 1548 ÷ 1.5 = ?
13
? = 4 × 742 – 456 1032
? = 3544
505. Ans.c)
340+1428-1312+4 =?
? = 460
506. Ans.a)
158×11-1750+1131+221= ?
? =1340
507. Ans.b)
490- 2160+3160+121 = ?
? = 1611
508. Ans.c)
55 54
  6  49  ?
17 51
84
?  2610  1728
100
882 100
= 1050
84
498. Ans.e)
896 21

 6400  1444  44
? 100
?
896
 1400  1344
?
896
= 16
56
499. Ans.b)
?
 350  361  1260  1032
100
?
?
 350  1032  899
100
? = 38
500. Ans.a)
(?)2 = 39 + 420 +217
(?)2 = 676
? = 26
501. Ans.d)
46
36
 1500 
 750  ? 420
100
100
? = 690 + 270 – 420
? = 540
502. Ans.d)
161 156

? = 13 
6
23
? = 47
5
17
509. Ans.a)
29 + 17 – 18 = ? – 124 + 12
28 + 124 – 12 = ?
? = 140
510. Ans.d)
1
×990+(-10) = (?)3 -25
9
110 – 10+25 = (?)3
(?)3 = 125
?=5
511. Ans.b)
(?) 2
6
(?)2 = 600 × 6 = 3600
= 60
354 + 143 +100 =
182
13
? = 14
?=
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
90
@Crossword2022
512. Ans.a)
9801+1137-1898+2346 = ? + 2446
⇒ 11386-2446= ?
⇒ ?=8940
522. Ans.d)
385 × 12
4
⇒
+? = 344 + ×?
8
3
4
⇒ 577.5 − 344 = ( − 1) ×?
3
⇒ ? = 3 × 233.5
? = 700.5
523. Ans.e)
40 × 3.5 80 × 3.5 (? )
⇒
+
=
100
100
10
140 + 280
?
⇒
=
100
10
⇒ ? = 42
524. Ans.b)
525. Ans.d)
486 ÷ ? × 7392 ÷ 66 = 1008
or, ( 486 / ? ) × ( 7392 / 66 ) = 1008
∴ ? = ( 486 ×7392 / 66 × 1008 ) = 54
526. Ans.a)
(440 ÷ 20) × (240 ÷ 16) = ?
22 × 15 = ?
? = 330
527. Ans.a)
? × 22 + 45% of 400 = (15 × 8) + 280
? × 22 + 0.45 × 400 = 120 + 280
? × 22 = 120 + 280 – 180
? = 220 ÷ 22
? = 10
528. Ans.e)
529. Ans.b)
? = 31.3
530. Ans.c)
? = 12.4 – 6.5 = 5.9
531. Ans.d)
513. Ans.e)
64 +
2
× 525 + 11 = (?)2
7
(?)2 =75 + 150
= 225
? = 15
514. Ans.e)
? = 540 – 392= 148
515. Ans.d)
? = 81.701
516. Ans.d)
? = 12.52
517. Ans.a)
? = 475 + 608 – 900 = 183
518. Ans.b)
64
47
4 ? (256)2
× 7=( ) ×
1000 10
10
108
?
7+3–8
4
4
⇒( ) =
10
102
4 2
=( )
10
⇒ ?=2
519. Ans.d)
⇒ 249 + 1149 + 2 = ? +1335
⇒ ? = 1400 − 1335
= 65
?=
520. Ans.a)
33 × 27
3
⇒
× 11.25 + 45 ×
37
4
3
3
⇒ 4 × 11.25 + 33.75 ⇒ 37.5
3
521. Ans.c)
140 × 36.5
100
⇒
×
100
80 × 12.5
∴ ? = 5.11
3545.64
12.25×21.6
= 13.4
532. Ans.b)
?=
15.5
100
× 646 +
24.5
100
× 298 = 173.14
533. Ans.c)
1
1
1
3
5
4
? = (2 + 1 + 2) + ( + + )
20 + 12 + 15
47
=5+
=5
60
60
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
91
@Crossword2022
534. Ans.b)
? = 72.089
535. Ans.c)
? = 192 – 32 + 211 = 371
536. Ans.e)
? = 18.42 – 15 = 3.42
537. Ans.a)
56
100
× 958 +
67
100
547. Ans.d)
{(420 ÷ 28)% of 1400} ÷ 7 = ?
(15% of 1400) ÷ 7 = ?
(0.15 × 1400) ÷ 7 = ?
210 ÷ 7 = ?
? = 30
548. Ans.b)
(450 + 242) ÷ 2 = ? + 223
(450 + 576) ÷ 2 = ? + 223
1026 ÷ 2 = ? + 223
? = 513 – 223
? = 290
549. Ans.e)
× 1008
=? × 20
? = 60.592
538. Ans.a)
? = 491.91
539. Ans.d)
? = (1+2–2) +  2  1 – 1 
5 7 2
 ?   21
1
3
⇒ ? = 9,261
540. Ans.c)
?=12,303-3,219
= 9,084
541. Ans.a)
? = 880
542. Ans.d)
? = 110.8 – 37.9
? = 72.9
543. Ans.b)
? = 581 + 207 = 788
544. Ans.b)
40% of 1625 – 220 of 16 ÷ 40 = ? ÷ 4
1625 × 0.4 – 3520 ÷ 40 = ? ÷ 4
650 – 88 = ? ÷ 4
? = 562 × 4 = 2248
545. Ans.c)
1280 of 40% + 1540 of 20% = ?2 + 91
128 × 4 + 154 × 2 = ?2 + 91
512 + 308 = ?2 + 91
?2= 729
? = 27
546. Ans.b)
412 + 25% of 1200
= ? + 1111
1681 + 0.25 × 1200 = ? + 1131
? = 1981 – 1111 = 870
= 1 + (28  10 – 35) = 1
70
3
70
550. Ans.c)
?2 = 56 + 25
 ?2 = 81
 ?= 9
551. Ans.b)
? = 23, 350
552. Ans.d)
? = 66.52 – 50.79
=15.73
553. Ans.a)
(1.1)? = 
5
11   ? = 5

 10 
554. Ans.b)
? =100 + 150 = 250
555. Ans.c)
13? =26  ? = 676 4  ? = 208
13
4
556. Ans.a)
? = 0.333 + 2.02 = 2.353
557. Ans.b)
? = 4.6 × 2.5 – 3.2
? = 8.3
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
92
@Crossword2022
558. Ans.e)
322 × 15 – 22 = ?
? = 4830 – 22 = 4808
572. Ans.b)
7
2
7
? 2 = (11)
 ? = 11
1
4
53 %of120 + 28 %of126 = ? + 9 ×8
3
7
559. Ans.e)
? = 69.9 + 107.1 – 174 = 3
560. Ans.d)
? = 21.35 – 3.75 = 17.6
561. Ans.a)
? = 5612 – 1394 = 4218
562. Ans.e)
? = 4207 – 3007 = 1200
563. Ans.d)
? = 21 × 84 – 89 = 1675
564. Ans.c)
? = 55.8 + 7.2 – 38.2 = 24.8
565. Ans.b)
? = 589.57
566. Ans.a)
(8/15) × 120 + (2/7) × 126 = ? + 72
? = 64 + 36 – 72
? = 28
573. Ans.e)
(5/8) × 3200 + (4800 ÷ 25) = ?
(5 × 400) + 192 = ?
? = 2192
574. Ans.a)
(2/5)(32% of 4500 – 440) = ? × 8
(0.32 × 4500 – 440) ÷ 20 = ?
? = (1440 – 440) ÷ 20
? = 1000 ÷ 20
? = 50
575. Ans.c)
(228 – 124) × 5 = ? × 26
104 × 5 = ? × 26
? = 520 ÷ 26 = 20
576. Ans.b)
√360 − 450 + 379 = √289 = 17
567. Ans.c)
3? = (32 )3 × (34 )3 = 36 × 38 ÷ 39 = 35
Or, ? = 5
568. Ans.c)
(√324 of √1225 ÷ √441) of 180% = ?
(18 of 35 ÷ 21) of 180% = ?
30 of 180% = ?
? = 30 × 1.8 = 54
569. Ans.a)
1
7
2
12
? = (4 + 1 – 2) + ( +
=3+(
?=
700
900
× 3456 +
200
300
× 1881 –
50
300
× 12354
= 7 × 384 + 2 × 627 – 2059
= 2688 + 1254 – 2059
= 1883
577. Ans.c)
5
5 3
45
4
100
? = √ × 108 + 160 + 2 +
− )
6
6 + 7 − 10
1
)=3
12
4
5
= √243 +
45
100
× 460
× 460
= 3 + 207 = 210
578. Ans.d)
570. Ans.b)
(√16)8 ÷ (64)2 + (27)4 ÷ (√81)4 of (9)2 = ? ÷ 4
(4)8 ÷ (4)6 + (3)12 ÷ (3)8 of (3)4 = ? ÷ 4
(4)2 + (3)12 ÷ (3)12 = ? ÷ 4
17 = ? ÷ 4 = 68
571. Ans.e)
(14/23) of 529 × 225 ÷ 15 – √484 = ?
322 × 225 ÷ 15 –22= ?
?=
23
5
×
20
3
× 360 –
32
100
× 950
= 11040 – 304
= 10736
579. Ans.a)
? = 327 × 5 + 105 –
54
100
× 1645 = 851.7
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
93
@Crossword2022
580. Ans.c)
3 2
48
36
( + ) of ? =
× 550 +
× 750
5 5
100
100
⇒ ? = 534
581. Ans.a)
(6)? = (6)3 ÷ 64 × 66
⇒ (6)? = 63−4+6
⇒?=5
582. Ans.b)
? = 576.03 – 472.31 = 103.72
583. Ans.e)
? = 24 ÷ 16 × 7.4 + 343 − 231
= 11.1 + 112
= 123.1
584. Ans.c)
7 ×? =
84×84
28
× 12 ×
592. Ans.c)
?=
7.9
100
× 134 −
3.4
100
?=
17
5
×
90
17
+
69
13
×
7
17
×
102
133
× 304 = 96
√?− 611 + 550 = 19
⇒√? = 80
⇒ ? = 6400
596. Ans.a)
7 49 343
1
(0.7)? =
×
×
×
10 10 1000 10
7 6
=( )
10
⇒?= 6
597. Ans.e)
79 87 101
?=
+
−
8 16 24
474 + 261 − 202
=
48
533
5
=
= 11
48
48
598. Ans.b)
1
2
? = × 243 + × 345
3
3
= 81 + 230
= 311
599. Ans.c)
0.1 + 0.011 + 0.00011
?=
0.1 + 0.0111 + 1
0.11111
1
=
= = 0.1
1
24
× 79= 7.9
52
23
= 18 + 12 = 30
587. Ans.c)
? = √108 + 117 = √225
? = 15
588. Ans.a)
? × 3 + 198 = ? × 9 – 102
⇒? =
×7
594. Ans.b)
? = 1198 – 881
= 317
595. Ans.c)
586. Ans.b)
?=
3
? = 980
593. Ans.d)
? = 18
585. Ans.b)
?=
(315+105)
300
6
⇒ ? = 50
589. Ans.b)
?² = 49 + 32
⇒ ?² = 81
⇒ ?= ± 9
590. Ans.c)
? = 755 + 8291 + 1377
= 10,423
591. Ans.b)
? = 132.3 + 145.7 – 52.5
= 225.5
1.1111
10
600. Ans.e)
81-49+64 = x+64
x = 99 – 64 =35
601. Ans.a)
?² = 395 + 791 – 990
?² = 196 ⇒ ? =± 14
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
94
@Crossword2022
602. Ans. d)
65
100
612. Ans a)
× 240 +
150
100
? = 210
1 1
?  444  202
2 4
?
 202  111  91  182
2
1.5? = 210 – 156 = 54
? = 36
603. Ans. a)
2
7
75
3
5
100
?= × ×
613. Ans a)
× 540
64
16 3
256
4
(
)(
) (
)  ( )? 1
1000
100
10000
10
2
64 1000 16
4


 ( )? 1
16 16 16 104 10
4
4
 ( )  ( )? 1
10
10
 ? 1  1  ?  0
? = 378
604. Ans. a)
1
5
7
2
1
6
12
? = (4 – 2 + 1) + ( − +
?=3+
?=3
3
12
= 3 +
)
4
1
4
605. Ans. b)
? = 1218.06
606. Ans. c)
614. Ans e)
?  1425  8560  8.4
?  9993.4
3
? = 4200 + × 480
8
? = 4200 + 180
? = 4380
607. Ans c)
? = 580 + 6 – 3
?= 583
608. Ans b)
615. Ans a)
75
35
1240 
1560
100
100
 930  546  384
?
616. Ans a)
? = 621.65
617. Ans b)
? = 794
618. Ans c)
75
45
?
 1228 
 400
100
100
3
  1228  45  4
4
 3  307  180  921  180  1101
2
3
4
? = × 215 + ×128 - ×147
5
4
7
= 86 + 96 - 84 = 98
609. Ans c)
? = 1520 + 18420 + 21
= 19961
610. Ans c)
44
63?  225 
 225
100
56
63?  225 
100
?2
611. Ans b)
619. Ans b)
?  56  7  64  9  4  29
 968  116  852
620. Ans a)
?  707  148  855
621. Ans d)
18 190
?  18 19
100
1800 19
?
 10
18 190
?  11
3
14300
1100
 429
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
95
@Crossword2022
622. Ans a)
632. Ans e)
56
20
?
 225 
150  109
100
100
 126  130  109  265
633. Ansb)
1.85 ? = 499 – 425
= 40
634. Ans a)
?  55  2695
?  49
?  2401
623. Ans b)
?=22500-6400-737-9604
?= 5759
624. Ans c)
48 + 6 -5 = ?
? = 49
625. Ans d)
? = 18.657 – 13.290
? = 5.367
626. Ansc)
? = 236 + 160
= 396
627. Ans a)
?1/6 = (1248 ÷ 24) ÷ (13 × 2)
?1/6 = 52 ÷ 26
?1/6 = 2
? = 26 = 64
628. Ans b)
39% of 85% of ? = 13% of 17% of 285
? = 4800 ÷ 30
? = 160
635. Ans a)
(2400 ÷ 20 ÷ 4 ÷ 5) × 25 = ? × 3
6 × 25 = ? × 3
? = 150 ÷ 3
? = 50
636. Ans e)
36
40
 245 
 210
100
100
 10  88.20  84  5.8
?  10 
637. Ans.b)
39
51
40
?=
× 450 +
× 340 –
× 255
100
100
100
= 246.9
638. Ans.c)
2 5 7 2
? = (3 + 4 + 5 – 7) + ( + +
– )
5 7 10 7
107
37
=5+
=6
70
70
639. Ans.d)
?
= 67 × 7 + 73 × 5.1 – 52 × 2.2
10
? = 7269
640. Ans.a)
? = 3564 + 348.6 + 574.34 – 673.85
= 3813.09
641. Ans.c)
? 3 15 13
52
× ×
×
× 544 =
5 4 17 6
7
52
1
⇒ ?× 52 × 3 =
⇒ ?=
7
21
0.39 × 0.85 × ? = 0.13 × 0.17 × 285
15 × ? = 285
? = 285/15
? = 19
629. Ans c)
3
?
1
2
3
1
 11 2  ?  11
630. Ans d
(292 – 71% of 1100 – 13 × 12 + 12 × 11) = ?
(841 – 781 – 24) = ?
(841 – 805) = ?
36 = ?
631. Ans d)
? = 120% of 25% of 150% of 900
? = 1.2 × 0.25 × 1.5 × 900 = 405
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
96
@Crossword2022
642. Ans.b)
? = 86.66 + 200 + 253
= 539.66
643. Ans.d)
4
3
× ? = √(256 + 473) + 504
5
2565
?=
= 641.25
4
644. Ans.a)
25 28 12+? 500
×
×
=
7
5
6
9
50
⇒?=
– 12
3
14
2
=
=4
3
3
645. Ans.e)
? = 4168 + 279
= 4447
646. Ans.c)
? = 505 + 202 + 4040.4 + 4.484
= 4751.884
647. Ans.d)
49 + 81 – 64 =? – 121
⇒ 66 = ? – 121
⇒ ? = 121 + 66 = 187
648. Ans.b)
3
2
1
?= 1 + + 2 + + 2+
4
3
2
3 2 1
=5+( + + )
4 3 2
23
11
11
=5+
=5+1
=6
12
12
12
649. Ans.e)
Expression
6 42
35
= 500 × ×
×
= 63
7 100 100
650. Ans.a)
8888 + 848 + 88 – ?
= 7337 + 737
⇒ 9824 – ? = 8074
⇒ ? = 9824 – 8074
= 1750
651. Ans.c)
?=
127512
414×7
= 44
652. Ans.d)
2.4
16 ×
? = 288
100
? = 750
653. Ans.b)
(−251 × 21 × (−12))
?
15813
=
100
? = 400
654. Ans.d)
130 × 130
1
?= [
× 15]
= 338
25
30
655. Ans.e)
? = √√4900 + √5476 = √70 + 74 = √144
= 12
656. Ans.e)
? = 24.375 − 1.955
= 22.420
657. Ans.d)
? = 13.141 + 31.417 – 27 .118 = 17.44
658. Ans.b)
? = √8.0656 = √
80656 284
=
10000 100
= 2.84
659. Ans.b)
? = 5 × 3.2 + 4 × 4 + 3 (
3.2
)
4
= 16 + 16 + 2.4 = 34.4
660. Ans.e)
?2 − 441 = 80 × 5
⇒ ? = √841
⇒ ? = 29
661. Ans.a)
?2 = √162 × 128 = 144
⇒ ? = 12
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
97
@Crossword2022
662. Ans.a)
? = 18
671. Ans.b)
√361 + √324 – √576 = 20% of ?
0.20 × ? = 19 + 18 – 24
0.20 × ? = 13
? = 13/0.20 = 65
672. Ans.b)
42% of 26% of ? = 39% of 18% of 280
42 × 26 × ? = 39 × 18 × 280
= 180
673. Ans.c)
? = 26,281
674. Ans.b)
452 – 83% of 900 – 17 × 33 + 10 × 11 = ?
2025 – 747 – 451 = ?
? = 827
675. Ans.a)
60% of 3200 + 40% of ? = 1984
0.60 × 3200 + 0.4 × ? = 1984
1920 + 0.4 × ? = 1984
0.4 × ? = 64
? = 160
676. Ans.a)
?=6√5 × 12√5 − 361
= 360 − 361 = −1
663. Ans.b)
?=111.1 + 25.8 + 153.5 = 290.4
664. Ans.b)
?3 = 54 × 32
3
? = √1728
? = 12
665. Ans.e)
5 14 13 2
?=
+
×
×
4
9
8 13
5
14
45+14
? = + =
? =
4
59
36
36
=1
36
23
36
666. Ans.e)
? = 25 × 14 − 42 + 4? = 182
⇒350 − 42 + 4? = 324
⇒4? = 324 − 308 = 16
?=2
667. Ans.b)
(?)² = 2 × 7√8 – 21 + 8 + 49 – 14√8
= 57 – 21 = 36
∴ ? = ±6
677. Ans.d)
?
× 19.07
100
= 359.56 – 207
152.56 × 100
?=
19.07
? = 800
678. Ans.c)
(?)⁴ = 243 × 27
(?)⁴ = (9) ⁴⇒ ? = 9
679. Ans.b)
8 24 25 7
?= +
×
×
3 7
6 50
8
2
= +2 =4
3
3
(45/4) × 16 = ? + 60= 45 × 4 – 60 = ?
? = 120
668. Ans.e)
{132 + √5625}/(? + 4) = 23
(132 + 75)/(? + 4) = 23
? + 4 = 207/23 = 9
?=5
669. Ans.b)
12 × 4? – 75 × 40 = 72
4? × 12 = 3072
4? = 256
?=4
670. Ans.c)
84 × 84
1
7 ×? =
× 12 ×
28
24
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
98
@Crossword2022
680. Ans.a)
? = 0.0003 – 0.00003 + 0.03
= 0.03027
681. Ans.b)
?
= 354 – 425 + 240
41
⇒ ? = 41 × 169
⇒ ? = 6929
682. Ans.d)
24% of 1500 – (1144 ÷ 11) = ?2
0.24 × 1500 – 104 = ?2
360 – 104 = ?2
?2 = 256
? = 16
683. Ans.d)
30 2 2 2 2
?=
× × × × × 9450
100 7 9 5 3
= 48
684. Ans.c)
−2
691. Ans.b
813 ÷ 276 × 94 = 3?
3? = (34)3 ÷ (33)6 × (32)4
3? = 312 ÷ 318 × 38
3? = 312-18+8
3 ? = 32
?=2
692. Ans.c)
76.8 × 50 = ?% of 2000 + 145% of 800
3840 = ?% of 2000 + 1.45 × 800
?% of 2000 = 3840 – 1160 = 2680
? = 2680/20 = 134
693. Ans.e
643 = (150% of ?) ÷ √1024 + 73
643 – 343 = (150% of ?) ÷ 32
150% of ? = 300 × 32
? = 6400
694. Ans.d)
62.5% of 12000 – (122 × ?2) = 444
7500 – (144 × ?2) = 444
144 × ?2 = 7056
?2 = 49
?=7
695. Ans d)
(26)2 ÷ 13 = {(40% of 3640) ÷ ?}
26 × 2 = {0.4 × 3640 ÷ ?}
52 = {1456 ÷ ?}
(1456 ÷ ?) = 52
? = 1456/52
? = 28
696. Ans.a)
(1/12) of 84 + 123 - ?
= 10 + 40
? = 7 + 123 – 50
? = 80
697. Ans.d)
−2
?× 5 = (4)−5× 5 + (7)−3× 3
or, ? =
16+49
5
= 13
685. Ans.a)
30% of ? = 38 + 147/ 3
30% of ? = 38 + 49 = 87
? = 87 × 100 / 30 = 290
686. Ans.c)
7 5 1 1
? = (1 + 2 + 3 − 4) + ( + + − )
9 3 9 5
106
16
=2+
=4
45
45
687. Ans.c)
? = 6894
688. Ans.b)
?= 81.25 + 2.1 = 83.35
689. Ans.a)
?
1
350 ×
×
= 343 ⇒ ? = 4900
100 50
690. Ans.a)
1
15
× 3842 +
× ? = 2449
2
100
528 × 100
⇒?=
15
⇒ ? = 3520
3
4
159 × 96 = ? 2
7
9
?2 = (1116/7) × (868/9)
?2 = 124 × 124
? = √(124 × 124)
? = 124
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
99
@Crossword2022
698. Ans.d
124.56 + 79.44 + 516 = ? × 30
? = 720 ÷ 30
? = 24
699. Ans.a)
(38/5) × 10 + (14/5) × 30
=?×8
76 + 84 = ? × 8
? = 160/8
? = 20
700. Ans.c)
(1/15) of {(3/8) × 360 + (7/9) × 405} = ?
(1/15) of (3 × 45 + 7 × 45) = ?
(135 + 315) ÷ 15 = ?
? = 450 ÷ 15
? = 30
701. Ans.e)
? = 0.81 + 0.49 + 0.16= 1.46
702. Ans.d)
400 × 185 240 × 35 1648 ×?
+
=
100
100
100
⇒ 74000 + 8400 = 1648 × ?
82400
∴ ?=
= 50
1648
703. Ans.c)
?2 = 88 + 56
?2 = 144
? = 12
707. Ans.b)
? = 1656
708. Ans.c)
? = 31 × 5 + 41 × 11 – 5 × 79
= 606 – 395= 211
709. Ans.c)
? = 738 + 236 – 874= 100
710. Ans.d)
3 4 18
?= ×
×
× 2673
4 27 11
= 2 × 243 = 486
711. Ans.b)
?=
4
17
× 17 +
7
15
× 15 = 11
712. Ans.c)
63×15
5
+? = 61 + 235
? = 296 − 189 = 107
713. Ans.a)
63×15
5
+? = 61 + 235
? = 296 − 189 = 107
714. Ans.d)
(? )2 − 312 + 289 = 5018
(? )2 = 5041, ? = 71
715. Ans.e)
√244 + 224 = ? × 202
⇒ 24 × 24 + 224 = ? × 202
⇒ 800 = ?× 400
800
∴ ?=
=2
400
704. Ans.a)
8 × 250
? = 2.8 × 1.5 +
100
= 4.2 + 20 = 24.2
705. Ans.c)
160 × 250
120 × 400
+?
100
100
⇒ 400+ ? = 480
∴ ? = 480 − 400 = 80
706. Ans.a)
√7744 + √3136 = ?2
1411
17
+ 583 ×? = 2415
2332
=4
583
716. Ans.b)
?=
3864
24
1
= (? )2
1
161 = (? )2 ,
? = (161)2 = 25921
717. Ans.b)
668 ÷ 167 × 284 = 4 × 284 = 1136
718. Ans.e)
5
60% of 25% of th of x = 630
6
Or,
60
100
×
25
100
5
× x = 630
6
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
100
@Crossword2022
x
729. Ans.a)
9 × 7 – ? = 13 × 12 – 15 × 7
63 – ? = 156 – 105
63 – ? = 51
? = 63 – 51
? = 12
730. Ans.b)
? – (15% of 600) ÷ 10 = 30% of 520
? – (0.15 × 600) ÷ 10 = 0.30 × 520
? – 90 ÷ 10 = 156
? = 156 + 9
? = 165
731. Ans.b)
22 × 22 – 14 × 18 = ? × 4
? × 4 = 484 – 252
? × 4 = 232
? = 58
732. Ans.a)
22 × 22 – 14 × 18 = ? × 4
? × 4 = 484 – 252
? × 4 = 232
? = 58
733. Ans.a)
Or, = 630
8
∴ x = 5040
719. Ans.d)
(85410+ 36885 + 24705) ÷ 1600
= 147000 ÷ 1600 = 91.875
720. Ans.a)
4.5 + 23.50 + 14.58 – 17.68 ×0.5
= 42.58 – 8.84 = 33.74
721. Ans.c)
3675
75
×
7480
80
= 49 × 93.5
= 4581.5
722. Ans.b)
?= 1 + 11.1+ 11.11
? = 23.21
723. Ans.c)
1
? = 15 −
2
1
= 14
2
724. Ans.a)
36
44
?=
× 125 +
× 225
100
100
14,400
=
= 144
100
725. Ans.c)
? = 861
7
?% of 15000
= (125/16) × 400 – (65/9) × 225
?% of 15000 = 125 × 25 – 25 × 65
?% of 15000 = 25 × 60 = 1500
? = (1500/15000) × 100
? = 10
734. Ansa)
726. Ans.b)
1
? × 4 + 31 × 6 = × 820
2
⇒?=
224
4
13
2
× 400 - 7 × 225 = ?%of15000
16
9
⇒ ? = 56
727. Ans.b)
1562 + 15.6% of ? = 3,590
202,800
⇒?=
= 13,000
15.6
728 .Ans. c)
1
1
1
32 %of3000 + 22 %of1500 = ? + 33 %of432
2
2
3
? + (1/3) × 432 = (13/40) × 3000 + (9/40) ×
1500
? + 144 = 975 + 337.5
? = 1312.5 – 144
? = 1168.5
111 + 79 = ? × 38
? = 190 ÷ 38
?=5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
101
@Crossword2022
735. Ans.c)
45% of 780 + 70% of 1020 = ? + 125
351 + 714 – 125 = ?
? = 940
736. Ans.e)
79 87 101
?=
+
−
8 16 24
474 + 261 − 202
=
48
533
5
=
= 11
48
48
737. Ans.e
1900 – 75% of 680 + ? = 1540
1900 – 510 + ? = 1540
? = 1540 – 1390
? = 150
738. Ans.c)
150
100
× 220 +
120
744. Ans.a)
⇒ 125% of 3060 = 408 + 85% of (?)
⇒ 3825 – 408 = [85 × (?)]/100
⇒ 3417 = [85 × (?)]/100
(?) = 3417 × 100/85
(?) = 4020
745. Ans.e)
[(37.5 × 19.2) ÷ 18 + 21.50 ÷ 4.3] = ? × 15
Applying BODMAS Rule;
⇒ [(300/8 × 19.2) ÷ 18 + 21.50 ÷ 4.3]
= ? × 15
⇒ [720 ÷ 18 + 5] = ? × 15
⇒ 40 + 5 = 15 × ?
⇒ 45 = 15 × ?
∴?=3
746. Ans.c)
338.40 ÷ 42.3 + 25% of 4200 ÷ 100
= ? + 246.5 ÷ 29
Applying BODMAS Rule;
⇒ 8 + 1050 ÷ 100 = ? + 8.5
⇒ ? = 8 + 10.5 – 8.5
∴ ? = 10
747. Ans.e)
× 140+?
100
= 850
? = 850 – 15 × 22 – 12 × 14 = 352
739. Ans.d)
30
100
× 340 −
70
100
× 110 = 65−?
? = 65+77-102
? = 65 – 25 = 40
740. Ans.a)
? = 91 – 64= 27
741. Ans.e)
3
√3969 − √2209 + 9 = √68921−?
3
⇒ 63 − 47 + 9 = √68921−?
⇒ ? = 41 + 47 − 72 = 16
748. Ans.b)
√441 × 5 + 20% of 675 = ? × 6
21 × 5 + 0.2 × 675 = ? × 6
? = (105 + 135) ÷ 6
? = 40
749. Ans.d)
⇒26% of 550 + 3/7 of 287 - ?
= √2025 + 17
143 + 123 - ? = 45 + 17
? = 204
750. Ans.b)
? = 25% of 20% of 40% of 8200
? = 0.25× 0.20 × 0.40 × 8200
? = 164
? = (1+2–2) +  2  1 – 1 
5 7 2
3
= 1 + (28  10 – 35) = 1
70
70
742. Ans.b)
64 + 60 ÷ (30 ÷ 3) = (?) ÷ 20
⇒ 64 + 60 ÷ 10 = x/ 20
⇒ 64 + 6 = x/ 20 ⇒ x = 1400
743. Ans.e)
1251/3 × 271/3 × 1254/3 = 15 × 5?
⇒ 5 × 3 × 54 = 15× 5x
⇒ 15 × 54 = 15×5x ]
⇒x=4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
102
@Crossword2022
751. Ans.d)
539 × 12
4
⇒
+? = 404 + ×?
16
3
4
⇒ 404.25 − 404 = ( − 1) ×?
3
⇒ ? = 3 × 0.25
3
?=
4
752. Ans.a)
(182 + 20% of 450 - √196) = ? × 10
(324 + 0.20 × 450 – 14) = ? × 10
324 + 90 – 14 = ? × 10
? = 400 ÷ 10
? = 40
753. Ans.a)
45% of 2500 + 125% of 900 = ?
0.45 × 2500 + 1.25 × 900 = ?
1125 + 1125 = 2250
754. Ans.a)
758. Ans.b)
17.8% of ? = 427.2 × 8.4% of 135
or, (17.8 × ? / 100 )
= ( 427.2 × 8.4 × 135 / 100 )
∴ ? = ( 427.2 × 8.4 × 135 /17.8) = 27216
759. Ans.b)
? = 5 × 15 × 2
? = 150
760. Ans.b)
35
?
=
22
7
Or, ? =
+
13
+
5
35×35
245
36
5
−
38
7
−
18
35
=
245
35
=5
761. Ans.c)
(23)2– (2564% of 25) + (18.75% of 1984)
= ?% of 130
529 – 0.25 × 2564 + 0.1875 × 1984 = ?% of 130
529 – 641 + 372 = ?% of 130
?% of 130 = 260
? = 260 × 10/13 = 200
762. Ans.c)
{(18 × 24) ÷ (42 – 15)} × 4 = √? + 72
{(18 × 24)/27} × 4 = √? + 72
64 – 72 = √?
√? = -8
? = 64
763. Ans.a)
(192 ÷ ?) × 15% of 400 = (192 ÷ 16) × 80
(192 ÷ ?) × 0.15 × 400 = 12 × 80
192 ÷ ?= (12 × 80)/60
? = 192 ÷ 16
? = 12
764. Ans.c)
(2/5){(3/5) × 750 + 40% of 375} = ? × 16
(2/5){3 × 150 + 0.40 × 375} ÷ 16 = ?
(450 + 150) ÷ 40 = ?
? = 600 ÷ 40
? = 15
1
1
57 %of315 -11 %of1080 = ? - 56 × 6
7
9
? – 336 = (4/7) × 315 – (1/9) × 1080
? – 336 = 180 – 120
? – 336 = 60
? = 396
755. Ans.b)
⇒ (37)2 = ? + [(11√3 + 5√3) × (9√3 + 11√3)]
⇒ 1369 – [16√3 × 20√3] = ?
⇒ 1369 – 16 × 20 × 3 = ?
⇒ ? = 1369 – 960⇒ ? = 409
756. Ans.c)
7 5 1 1
? = (1 + 2 + 3 − 4) + ( + + − )
9 3 9 5
106
16
=2+
=4
45
45
757. Ans.a)
(3.7)–3 × (13.69)–2 × ( 1 / 50.653 ) ÷ ( 13.69 )–
5 = ( 3.7 )?
or, (3.7)? = (3.7)–3 × (3.7)–2×2 × (3.7)–3 × (3.7)10
= (3.7)–3–4–3+10 = (3.7)0
∴?=0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
103
@Crossword2022
765. Ans.a
(42% of 1500 – 230) ÷ 25 = ? ÷ 4
(0.42 × 1500 – 230) ÷ 25 = ? ÷ 4
(630 – 230) ÷ 25 = ? ÷ 4
(400 ÷ 25) × 4 = ?
16 × 4 = ?
? = 64
766. Ans.c)
2
12  324  34% of 1450 = ?1/2  280
3
(38/3) × 18-1450 x (34/100) = ?1/2-280
38 × 6- 493 + 280 = ?1/2
?1/2 = 228 - 493 + 280
?1/2 =15
? = 225
767. Ans.e)
(1239 ÷ 21) × (504 ÷ 36) = ?
59 × 14 = ?
? = 826
768. Ans.d)
1
1
1
8 % of 5700 + 9 % of 1760 = 11 % of 1080 = ?
3
11
9
? = (1/12) × 5700 + (1/11) × 1760 – (1/9) × 1080
? = 475 + 160 – 120= 515
769. Ans.a)
4
1
1
228 % × 252 + 57 % of 252 + 37 % of 192 = ?
7
7
2
? = (16/7) × 252 + (4/7) × 252 + (3/8) × 192
? = 576 + 144 + 72
? = 792
770. Ans.d)
1
5
2
87 % of 256 + 45 % of 396 - 6 % of 960 = ?
2
11
3
? = (7/8) × 256 + (5/11) × 396 – (1/15) × 960
? = 224 + 180 – 64
? = 340
771. Ans.d)
75 + 2.5 × 180 – (320 + 130) ÷ 15 = ?
75 + 450 – 30 = ?
? = 495
772. Ans.d)
? = 47.22
773. Ans.a)
45
? = 23 ×
15
? = 69
774. Ans.b)
4046 × 14 × 15
?=
210 × 17
? = 238
775. Ans.e)
5 1 8
? = (4 + 7 − 5) + ( + − )
6 2 11
(55 + 33 − 48)
=6+
66
40
20
=6+
=6
66
33
776. Ans.b)
83
?=
× 2350
100
? = 1950.5
777. Ans.d)
⇒ 5 × 8 + 60 ÷ 4 – 45 + 2
⇒ 5 × 8 + 15 – 45 + 2
⇒ 40 + 15 – 45 + 2
⇒ 57 – 45
⇒ 12
778. Ans.c)
(9/2 + 4) × 8 = ? × 10
⇒ (9 + 8)/2 × 8 = x × 10
⇒ 17 × 4 = x × 10
⇒ x = 68/ 10
⇒ x = 6.8
779. Ans.a)
83.33% of 90 + 78 – 168 × 8 ÷ 14= ? + 34
⇒ 5/6 × 90 + 78 – 168 × 8 ÷ 14
= ? + 34
⇒ 75 + 78 – 96
= ? + 34
⇒ ? = 57 – 34
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
104
@Crossword2022
∴ ? = .23
780. Ans.e)
1920/?2 + 96/6 – 10 = 1/30 + 42/7
⇒ 1920/?2 + 16 – 10 = 1/30 + 6
⇒ 1920/?2 + 6 = 1/30 + 6
⇒ 1920/?2 = 1/30 + 6 - 6
⇒ 1920/?2 = 1/30
⇒ 1920 × 30 = ?2
⇒ 240 × 8 × 30 = ?2
⇒ 240 × 240 = ?2
⇒ 2402 = ?2
⇒ 240 = ?
∴ ? = 240
781. Ans.b)
? = 41 × 4 + 51 × 7 – 4 × 89
= 521 – 356 = 165
782. Ans.b)
? = 209 × 5 + 128 – 768
= 405
783. Ans.e)
3 4
? = × × 2100
5 7
= 12 × 60
= 720
784. Ans.d)
2
3
5
5
4
8
787. Ans.a)
1
1+
1
+ (−2)4 = 17
(64)2
1
8
788. Ans.a)
34
3
×
68
48
10
=? , ? = 2.4
3
789. Ans.e)
(1.1)2 − (4.24 × 0.04) =?
⇒ ?=1.0404
790. Ans.b)
(0.0258 × 0.0252) ÷ (0.0256 × 0.0252)
= ? × 0.000125
0.02510 ÷ 0.0258 = ? × 0.000125
? = 0.0252 ÷ 0.000125 = 5
791. Ans c)
(15 × 16) + 242= ? × 16
(240 + 576) ÷ 16 = ?
816 ÷ 16 = 51
792. Ans.d)
? × 12 + 36% of 750 = 45 × 8
? × 12 = 360 – 0.36 × 750
? × 12 = 90
? = 7.5
793. Ans.e)
20% of 360 × ? = 25% of 260 + 655
72 × ? = 65 + 655
72 × ? = 720
? = 10
794. Ans.a)
945 × 256 ÷ 35 ÷ 32 = ?3
?3 = 216
?=6
795. Ans.d)
16 × (?% of 800) – 696 = 3400
?% of 800 = (3400 + 696)/16 = 256
? = 256/800 × 100 = 32
796. Ans.c)
334 + 614 – 1354
= – 406
797. Ans.a)
? = × × × 1920 = 360
785. Ans.e)
2 1 1
– 
5 7 2
3
= 1 + (28  10 – 35) = 1
70
70
? = (1+2–2) +  
786. Ans.b)
2
1
6
16 % of 98 + 33 % of 56 = ? ÷ 6
3
3
7
? ÷ (48/7) = (1/6) × 98 + (56/3)
? × (7/48) = (49/3) + (56/3)
= 105/3 = 35
? = 48 × (35/7)
? = 240
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
105
@Crossword2022
21*58 = 1218
798. Ans.c)
0.12 + 6.25 = 6.37
799. Ans.d)
24+76 = 100
800. Ans.b)
120 + (730x/100) = 354
(730x/100) = 234
x = 32%
801. Ans.d)
256 + 729 – 24 = 961 = 312
802. Ans.b)
3(46-16) + (36-3)3 = 90 + 332
90+ 1089 = 1179
803. Ans.a)
22×248×122 = 665632
665632/22 = 30256
804. Ans.a)
= 900 ÷ 3+300×10
= 300 + 3000 = 3300
805. Ans.b)
645 × 16 × 85.74 =216 × 4096
= 884736
84 =4096
806. Ans.a)
222.5 + 441 = 663.5
663.5/6 = 110.6
807. Ans.a)
230.4 + 269.01 = 100 + ?
499.41 = 100 + 399.41
808. Ans.b)
(14/3)+(37/5)-(38/3)+(25/7)
= (490+777-1330+375)/105
= 312/105 = 2(102/105)
809. Ans.d)
5.39 + 4256 – 18.75
4261.39 – 18.75 = 4242.64
810. Ans.c)
= 2.8 ×6.9 – 96 = 19.32 – 96
= – 76.68
811. Ans.b)
13.5
812. Ans.b)
17/32
813. Ans.a)
0
814. Ans.c)
37
815. Ans.c)
208
816. Ans.c)
(261)1.3 × (36) 1.8 ÷ (6) 0.5 = (6)?
(63)1.3 × (62)1.8 (6) 0.5 = (6)?
(6)3.9 × (6)3.6 ÷ (6)0.5 = (6)?
(6)39.3.6-05 = (6) ?
Comparing both sides? = 7.5 – 0.5 = 7
817. Ans.d)
Follow BODMAS Rule0
? = 23 × 2 (45 – 15) + 168 ÷ 4 ÷ 2 – (11)2
= 23 × 2 (30) + 168 / (4×2) – (11)2
= 23 × 60 21 – 121 = 1380 + 21 – 121 = 1280
818. Ans.d)
⇒ 48% of 2500 -
73  8
196
 15% of
80
?
3
7 8
80
 0.15   ?
72
3
3
⇒
12
3
⇒ ? = 1200 – 196-4 ⇒ ? = 1000
819. Ans.c)
⇒ 123 + 2744 ÷ 72 – 29 + 232 + 50 = ?3
⇒ 123 + 2744 ÷ 49 – 29 + 529 + 50 = ?3
⇒ 123 + 56 – 29 + 529 + 50 = ?3
⇒ 758 – 29 = ?3
⇒ 729 = ?3 ⇒ ? = 9
820. Ans.a)
⇒ 36% of 450 + √3136 – 18 × 13 = ?
⇒ 162 + 56 – 234 = ? ⇒ ? = – 16
821. Ans.c)
3
4
2
of
of of 875 ÷ 5-1 = ?
5
7
3
? = 1200 – (72 × 4 ) -
? = 25 × 4 × 2 × 5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
106
@Crossword2022
? = 1000
822. Ans.a)
45% of 800 + 240 ÷ 15 – 19 × 4 = ?
360 + 16 – 76 = ?
? = 300
823. Ans.b)
92 × 22 + 164 – 25 × 16 = ?
81 × 4 + 164 – 400 = ?
324 + 164 – 400 = ?
? = 88
824. Ans.b)
12% of 900 + 13% of 1200 – 816 ÷ 8 = ?
0.12 × 900 + 0.13 × 1200 – 102 = ?
108 + 156 – 102 = ?
162 = ?
825. Ans.b)
594 ÷ 22 + 177 – 16% of 600 = ?
27 + 177 – 96 = ?
108 = ?
826. Ans.a)
(680 + 120) ÷ 16 + ?2 = 182 – 49
800/16 + ?2 = 324 – 49
?2 = 275 – 50
?2 = 225
? = ±15
827. Ans.c)
360 ÷ 25 × 5 + 72 × 2 = ?3
?3 = 72 + 72 × 2
?3 = 72 × 3 = 216
?=6
828. Ans.d)
⇒ √3249 × √2116 – (38)² = (?)² + (31)² – 72
⇒ 57 × 46 – 1444 = (?)2 + 961 – 72
⇒ 2622 – 1444 = (?)²+ 889
⇒ 1178
= (?)2 + 889
⇒ (?)2 = 1178 – 889
⇒ (?)2 = 289
⇒ ? = 17
829. Ans.b)
{(54 ×15) + 190} ÷ 50 = ? ÷ 7
(810 + 190) ÷ 50 = ? ÷ 7
200 ÷ 50 = ? ÷ 7
? = 20 × 7
? = 140
830. Ans.a)
(√3 – 2)2 = ? – √12 – √36
3 + 4 – 4√3 = x – 2√3 – 6
13 – 2√3 = x
831. Ans.d)
(9 ÷ 2 * 27 ÷ 9)/(18 ÷ 7.5 * 5 ÷ 4)
= 27/6 = 4.5
832. Ans.c)
(?)2 + (123)2 = (246)2 – (99)2 – 246
60516 – 27392 = 33124 = (182)2
833. Ans.d)
[1280 of 15 ÷ 80 × 5] ÷ 20 = ?% of 600
? × 6 = (1280 × 15 × 5)/(80 × 20)
? × 6 = 60
? = 10
834. Ans.b)
[√8(3 + 1) x √8(8 + 7)] – 98
[4√8 x 15√8] – 98
480 – 98 = 382
835. Ans.b)
√(2352 – 1331 + 3) = √1024 =32
836. Ans.b)
(65/100)*56*5 = ? + 154
182 – 154 = 28
837. Ans.a)
86+7 = 93
100-93 = 7
838. Ans.d)
(45)2 + (21)2 = (?)2 + 257
or, (?)2 = (45)2 + (21)2 – 257
or, (?)2 = 2025 + 441 – 257 = 2209
or, ? = √2209 = 47
839. Ans.d)
{(3/2) + (5/8)} × 16 + 116 = ?% of 200
{(12 + 5)/8} × 16 + 116 = ?% of 200
(17 × 2) + 116 = ?% of 200
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
107
@Crossword2022
? = (150/200) × 100 = 75
840. Ans.a)
40% of 375 ÷ 512 × 30 = 4500 ÷ ?
150 ÷ 8 × 30 = 4500 ÷ ?
? = 4500 × 8 ÷ 150 ÷ 30 = 8
841. Ans.d)
= 121.5
846. Ans.b)
? = 84/5 × 40/7 + 63/4 × 16/9
= 96 + 28 = 124
847. Ans.b)
299
 11  361  ?2  38
169
299
11  19  ?2  38
169
(96/13) × (25/24) × (39/20) = ? ÷ 10
? = 15 × 10 = 150
848. Ans.d)
37.5% of 920 + 12.5% of 640 = ? ÷ 5
? ÷ 5 = 0.375 × 920 + 0.125 × 640
? ÷ 5 = 425 = 2125
849. Ans.a)
[(450 ÷ 8) × 32] ÷ 25 = ? ÷ 3
? ÷ 3 = (450 × 4)/25
? = 216
850. Ans.a)
[2640 ÷ 12 of 20 + 15 ÷ 4] × 4 = ?
? = 2640 ÷ 240 × 4 + 15
? = 44 + 15 = 59
851. Ans.b)
[(54)2 of 20 ÷ 162] ÷ 15 = ?
? = (54 × 54 × 20) ÷ (162 × 15)
= 24
852. Ans.a)
[(396 ÷ ?) × 160 ÷ 176] = 10
23 × 11 – 19 – 38 = ?2
253 – 57 = ?2
?2 = 196 = 14
842. Ans.d)
94.5 × 512 ÷ 343 ÷ 6.4 = ?2 + 56
945 
512
 ?2  56
7  64
135 × 8 – 56 = ?2
1080 – 56 = ?2
?2 = 1024 = ± 32
843. Ans.c)
86 – (86)2 + 86 × (86 + 86 ÷ 0.86) = ?
? = 86 – (86)2 + 86 × (86 + 100)
? = 86 – (86)2 + 86 × 186
? = 86 (1 – 86 + 186)
? = 86 (101) = 8686
844. Ans.c)
57% of 350 + ?% of 170
= – 89.5 – 512 – 9
350 ×
396 ÷ ? = 10 × 176 ÷ 160
? = 396 ÷ 11 = 36
57
170
 ?
 89.5  8  9
100
100
853. Ans.d)
60% of 1500 + 750% of 80 = ? + 124
199.5+1.7×? = -106.5
199.5 + 1.7 × ? = – 106.5
1.7 × ? = – 106.5 – 199.5
1.7 × ? = – 306 = – 180
845. Ans.b)
529 ÷ ?% of 270 = 115 × 81 ÷ ?2
23 ÷ (2.7 × ?) = 115 × 9 ÷ ?2
23 ÷ 2.7 = 115 × 9 ÷ ?
? = 115 × 9 ÷ 23 × 2.7
? + 124 = 0.60 × 1500 + 0.80 × 750
? + 124 = 1500
? = 1376
854. Ans.b)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
108
@Crossword2022
? = 225 ÷ 15 = 15
855. Ans.a)
(7291/3 + 2891/2)% of 2600 = ?
(9 + 17)% of 2600 = ?
? = 262 = 676
856. Ans.a)
862. Ans.c)
? = 1396 + 412 – 2704 + 961 = 65
863. Ans.c)
⇒ ?×
⇒?=
90
100
522
9
= 126+396
× 10 = 580
864. Ans.e)
(142 −82 )
?
(14−8)(14+8)×3×(7+4)
⇒ ?2 =
1764
? 2 
6
⇒ ?2 =
× (72–42) = ? × 400
400
6×22×11×3
400
33 2
= ( ) = 3.3
10
865. Ans.d)
92 121 8
×
× = 22 + 66
11 23
?
352
=
= 88
? + 2 = 42/6 = 7 = 5
857. Ans.b)
83 – 162 = ?2 – 400% of 80
?2 = 4 × 80 + 512 – 256
?2 = 576 = ±24
858. Ans.e)
[20% of 360 + 25% of 1440] ÷ 16 = ?
? = (0.20 × 360 + 0.25 × 1440) ÷ 16
? = 432 ÷ 16
? = 27
859. Ans.b)
9600 ÷ 25 of 16 + 20 × 15 = ?2
9600 ÷ 400 + 20 × 15 = ?2
?2 = 24 + 300
?2 = 324
? = ±18
860. Ans.a)
240 × 30% + 153
= ?2 - 10% of 640
72 + 153 = ?2 – 64
?2 = 153 + 72 + 64
?2 = 289
? = ± 17
861. Ans.d)
(15)3.7×3 ÷ (15)2×4.3 × (15)2.5 ÷ (3)5 = (5)?
(15)11.1−8.6+2.5 ÷ (3)5 = (5)?
(15)5 ÷ (3)5 = (5)?
35 × 55 ÷ (3)5 = (5)?
55 = (5)?
?=5
?
?=4
866. Ans.b)
4
1
2
3
1
2
7 + 3 + 5 =? +4 − 7 + 11
3
2
3
5
2
5
4 1 2
3
? = (7 + 3 + 5) + + + − 4 + 7 − 11 −
3 2 3
5
2 1
− +
5 2
?= 9
867. Ans.c)
66
100
of 350+ ? =
5
8
of 1256
⇒ 231+ ? = 785
∴ ? = 785 − 231 = 554
868. Ans.b)
80 1
2
⇒?×
= × 360 + × 120
11 3
3
11
⇒? =
× [120 + 80]
80
= 11 × 2.5 = 27.5
869. Ans.b)
?=
3570
1190
=3
870. Ans.e)
871. Ans.d)
√1089 + 9 × 23 = ?% of 120
33 + 207 = ?% × 120
?% × 120 = 240
? = (240/120) × 100
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
109
@Crossword2022
⇒ ? = 88
881. Ans.a)
? = 200
872. Ans.c)
65% of 600 + 272 = ?2 + 262
390 + 272 – 262 = ?2
?2 = 400
? = ± 20
873. Ans.b)
874. Ans.c)
?2 % of 11.11% of 256 × 169 ÷ 2704 = 81
?2 × 1 ÷ 900 × 16 × 169 ÷ 52 = 81
?2 = 81 × 900 × 52 ÷ 16 ÷ 169
?2 = 2025/ 16
? = 45/ 4 = 11.25
875. Ans.a)
1485 ÷ 27 × 880 ÷ 16 = ?2
?2 = 55 × 55
? = 55
876. Ans.b)
3
2
1
?= 1 + + 2 + + 2 +
4
3
2
3 2 1
23
=5+( + + )= 5+
4 3 2
12
11
11
=5+1
=6
12
12
877. Ans.b)
(450 ÷ 15 × 8 + 90 + 40% of 75)= ? × 40
(240 + 90 + 30) = ? × 40
? × 40 = 360
?=9
878. Ans.a)
√256 + √784 =?× √121
16 + 28 = ? × 11
44
?=
=4
11
882. Ans.e)
(53 + 480 ÷ 4)% of 20 = ?% of 70
(125 + 120)% of 20 = ?% of 70
245% of 20 = ?% of 70
? = (49/70) × 100
? = 70
883. Ans.e)
115% of 360 + 180% of 270 = ? × 225
414 + 486 = ? × 225
900
?=
=4
225
884. Ans.b)
34 × 96
9? × 729 =
81
92 ×96
9? = 2 3 = 93
9 ×9
⇒?=3
885. Ans.d)
40% of (12/18) of (54/147 of (7/12) of 175 = x
(40/100)×(12/18)×(54/147)×(7/12)×175 = x
x= 10
886. Ans.c)
6 (3/4) +4 (3/8) -6 (1/4) + 5 (1/5) = x
(6+4-6+5) (3/4+3/8-1/4 +1/2) = x
x = 9 (11/8)
x = 10 ( 3/8)
887. Ans.d)
x = (3745+1780) ÷ 17 +162 + (5/11) of 8880
– 15
x = 5525/17 + 256 + (5/11) × 880 – 15)
x = 325 + 256 + 400 – 15
x - 966
888. Ans.a)
2516 × x + 16 × 11 = 2525 + 5198
2516 × x + 176 = 7724
2516 × x = 7548
x = 7548/2516 = 3
889. Ans.c)
√? = 24 – 12
√? = 12
? = 144
879. Ans.c)
?=
127512
414×7
= 44
880. Ans.d)
25 + 210 = ? × 12
25 (1 + 32)
=?
12
156÷13 + 3 19683 - (12×15) = x - 83
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
110
@Crossword2022
30 × 30 × 30
1
[
× 24] ×
= 36 ×?
60
25
432
⇒?=
⇒ ? = 12
36
898. Ans.c)
? =12,596 – 9690 = 2906
899. Ans.b)
80% of 24000 – 16% of 7200 =? – 15% of
2000 = > (80/100)*24000 – (16/100)*7200
=? – (15/100)*2000 = > 19200 – 1152 =? –
300
= > 19200 – 1152 + 300 =? = > 18348 =?
900. Ans.c)
292 + 52 % of 900 – (3/7) of 1750 = x - 113
841 + (52/100)*900 – (3/7)*1750 + 1331 = x
= 841 + 468 – 750 + 1331 ⇒ X = 1890
901. Ans.a)
∛35937 + √5184 ÷ 2? – 4/5 of 65 + 52
= 42 33 + (72/2x) – (4/5)*65 + 25 = 42 (72/2x)
= 42 – 33 – 25 + 52 (72/2x)=36
2x = 72/36 = 2, 2x = 2 ⇒ X = 1
902. Ans.a)
(156 / 13) + 27 – (12 × 15) + 512 = x
x = 12+27 – 180 + 512 = 371
890. Ans.a)
1/7 × 1/5 × 4/9 x 3150 + 40% of 7800
= ? – 540
40 + (40/100) x 7800 + 540 = ?
40 + 3120 + 541 = ? ⇒3700 = ?
891. Ans.b)
318 × 5160 ÷ [(43/100)*2400]
= 46 × 990 ÷ 15 + x – 2400
318 *(5160/1032) = 46*(990/15) + x – 2400
1590 = 3036 + x – 2400
1590 + 2400 – 3036 = x
x = 954
892. Ans.c)
98 ÷ 14 × 49 – 294 = (? )2
⇒ 7 × 49 – 294 = (? )2
⇒ 343 – 294 = (? )2
⇒ (? )2 = 49 ⇒ ? = 7 or – 7
893. Ans.d)
80% of 250 – 52 = ? + (1331)1/3 + 42
200 – 25 = ? + 11 + 16
? = 175 – 11 – 16
? = 148
894. Ans.e)
282 + 24 × 5 – ?2 × 8 = 512
784 + 120 – 512 = ?2 × 8
?2 = 392/8 = 49
?=7
895. Ans.c)
[{(1152 ÷ 8) ÷ 4} ÷ 2] + √256= ?
? = [{144 ÷ 4} ÷ 2] + 16
? = [36 ÷ 2] + 16
? = 18 + 16= 34
896. Ans.a)
?=
46×450+84×525−55×880
100
=164
903. Ans.b)
3
√256 + 320 + 4 × ? = 3×16 = 32
904. Ans.a)
(−3)4 ÷ 34 = 1
905. Ans.e)
? (2.5 − 1) = 48 × 2.5 or, ? =
120
1.5
= 80
906. Ans.a)
215 ÷ 5 =? −215
or ? = 43 + 215 = 258
907. Ans.b)
2
1
9
188
3 +4
−
=
7
14 14
?
23 57 9
188
+
−
=
7 14 14
?
46 + 57 − 9 188
=
14
?
46 + 57 − 9 188
=
14
?
2
(√3 − 2) = ? −√12 − √36
⇒ 3 + 4 − 4√3 =? −2√3 − 6
⇒ ? = 7 – 4√3 + 2 √3 + 6
⇒ 13 – 2 √3
897. Ans.a)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
111
@Crossword2022
94 188
=
14
?
188
?=
× 14 = 28
94
908. Ans.e)
914. Ans.a)
45% of 400 + 60% of ? = 150 × 8
180 + 0.60 × ? = 1200
0.60 × ? = 1200 – 180
0.60 × ? = 1020
? = 1020/0.6
? = 1700
915. Ans.c)
1920 ÷ 16 × 1.5 + 220 = ?2
120 × 1.5 + 220 = ?2
180 + 220 = ?2
?2 = 400 = ± 20
916. Ans.a)
960 + 105 ÷ 21 = ? × 25 + 165
960 + 5 = ? × 25 + 165
? × 25 = 965 – 165
? = 800 ÷ 25 = 32
917. Ans.a)
(60000 of 12.5%÷7.5)+(1254 of 50%×168÷28)
= (?)2 + 3162
(0.125 × 60000 ÷ 7.5) + (0.50 × 1254 × 6)
= (?)2 + 3162
(7500 ÷ 7.5) + (627 × 6) = (?)2 + 3162
1000 + 3762 = (?)2 + 3162
? = √1600 = 40
918. Ans.c)
8192 ÷ 16 of 8 ÷ 4 + 106 × 18 ÷ 36 = √? + 22
8192 ÷ 128 ÷ 4 + 106 × 1/2 = √? + 22
8192 × (1/128) × (1/4) + 53 = √? +22
16 + 53 = √? + 22
√? = 47
? = 2209
919. Ans.c)
664 – 624 + 260 – ? = 60
? = 300 – 60
? = 240
920. Ans.d)
√15 × 222 − 40%of602 + 19 × 39 = ?2
√15 × 484 − 40% of 3600 + 19 × 39 = ?2
√7260 − 1440 + 741 = ?2
√6561 = ?2
81 =?2 ⇒ ? = 9
909. Ans.c)
40% of ? + 55% of 360 = 36% of 450 + 102
2
11
36
×? +
× 360 =
× 450 + 100
5
20
100
2
× ? +198 = 162 + 100
5
2
×? = 262 − 198
5
2
×? = 64
5
? = 160
910. Ans.b)
(54)2
1
√144 × √324 ÷ 4 ( ÷ 24) =
3
?
(54)2
12 × 18 ÷ (4 ÷ 72) =
?
54 × 54 × 4
3
?=
= = 0.75
12 × 18 × 72 4
911. Ans.e)
?3
34 ÷ 362 × 243 =
2
34
× 243 × 2 =?3
362
?3 = 1728
? = 12
912. Ans.b)
(63)? = 72.3+9.4 × 633.4 × 911.7
= (63)3.4+11.7 = 15.1
913. Ans.d)
(?)² = 94,249 – 272 – 26,896
(?)² = 67,081
? = ±259
318 4854 61 21

  ?
57
63
9 2
189 3078 55 5

  ?
57
63
9 2
18 × 55 + 2.5=?
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
112
@Crossword2022
? = 990 + 2.5
= 992.5
921. Ans.d)
(272 / 4) – 18 × 6 + ∛1331 = ?
? = 68 – 108 + 11
? = – 29
922. Ans.d)
1512 ÷ 36 + 44 × 32 = ?
? = 42 + 1408
? = 1450
923. Ans.c)
⇒ (6386 ÷ 31) + (825 ÷ 33) + (9720
÷ 216) =?
⇒ 206 + 25 + 45 =? ⇒ ? = 276
924. Ans.b)
322 – 93 + 29 = ?2
?2 = 1024 – 729 + 29 = 324
? = 18
925. Ans.b)
? = 42 × 12 × 16
? = 8064
929. Ans.e)
56
1
?=
× 250 + × 963
100
3
? = 140 +321= 461
930. Ans.c)
(√7 – √10)2 + (√5 + √14)2 = (?)3 – 28
(?)3 = 7 + 10 – 2√70 + 5 + 14 + 2√70 + 28
(?)3 = 36 + 28 = 64
∴ ? = ∛64 = 4
931. Ans.b)
?=
? =√
3
√144 + × 216− ? = 38 – 23
8
144 + 81 – ? = (15)2 = 225
? = 225 – 225
=0
926. Ans.d)
5
5
2
9
7
×
70
13
+
48
11
×
33
16
= 20 + 9 = 29
72 200 111 400
×
+
×
100
3
100
3
= √196 = 14
933. Ans.c)
55
?× 13 +
× 460 = ?× 21 − 227
100
⇒ 8 × ? = 253 + 227
⇒ 8 × ? = 480 ⇒ ? = 60
934. Ans.b)
38.4% of 1450 + 78.2% of 240 – ?2
= 20% of 77.4
or, ?2
= 38.4% of 1450 + 78.2% of 240 – 20% of 77.4
or, ?2 = 556.8 + 187.68 – 15.48
= 744.48 – 15.48 = 729
∴ ? = √729 = 27
935. Ans.a)
(2.89)4 ÷ (4913 ÷ 1000)3 × (0.17 × 10)3
= (1.7)?–3
or, (1.7)8 ÷ (1.7)3×3 × (1.7)3 = (1.7)?–3
or, (1.7)8 ÷ (1.7)9 × (1.7)3 = (1.7)?–3
or, (1.7)8–9+3 = (1.7)?–3
or, (1.7)2 = (1.7)?–3
∴ ?–3=2
or, ? = 3 + 2 = 5
936. Ans.d)
= √1444 − √529
3
7
932. Ans.a)
√18 × 8 + 37.5% × 216−?
?=
26
of of of 9450
3 5 2
= × × × 9450 = 900
5 9 7
927. Ans.c)
272 – 182 + 120% of 225 = ?
(27 + 18)(27 – 18) + 270 = ?
? = 45 × 9 + 270
? = 405 + 270
? = 675
928. Ans.b)
(18 / 396) × (33 / 288) × ? = 42
? = 42 × 396 × 288 / 18 × 33
? = 42 × 396 /33 × 288/18
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
113
@Crossword2022
32% of 5.832 + 35% of 6500 – ?% of 1250
= 222.8
or, 1.8 + 2275 – ? × 12.5 = 222.8
or, ? × 12.5 = 2276.8 – 222.8
or, ? = (2054/12.5) = 164.32
937. Ans.b)
(18 × 66) ÷ 27 + 65 – 75 = √?
44 – 10 = √?
? = 342
? = 1156
938. Ans.c)
25% of ∛328509 + 75% of ∛79507 = ?
? = 25% of 69 + 75% of 43
? = 17.25 + 32.25 = 49.5
942. Ans.c)
332 + 342 + 35 + 362 – 392 = ?
? = 1089 + 1156 + 35 + 1296 – 1521
? = 2055
943. Ans e)
37.5% of 2016 + 25% of 3648 = ? × 12
0.375 × 2016 + 0.25 × 3648 = ? × 12
? × 12 = 756 + 912
? = 1668/12 = 139
944. Ans.a)
9
13 % of 2835 + 25% of 3248 = 1117 + ?
7
?=
∴ (100/7) % of 2835 + (1/4) × 3248
= 1117 + ?
= (100/700) × 2835 + 812 = 1117 + ?
⇒ 405 + 812 = 1117 + ?
∴ ? = 1217 – 1117 = 100
939. Ans.a)
(0.0036)1/2 + (0.0169)1/2 = ? + 0.03
⇒ ? + 0.03 = 0.06 + 0.13
⇒ ? = 0.19 – 0.03 = 0.16
940. Ans.b)
9–27+18
√1444
=
0
=0
√1444
945. Ans.d)
2
108
3
9
? = 31 + ×
×
21
36
×
27
42
= 31 + 3 = 34
946. Ans.c)
? = 29 + 170 – 115 = 84
947. Ans.d)
?² =
𝟒𝟎
𝟏𝟎𝟎
× 𝟒𝟐𝟎 +
𝟒𝟒
𝟏𝟎𝟎
× 𝟐𝟎𝟎
= 168 + 88 = 256
⇒ ? = ± 16
948. Ans.b)
32  13 5  16  ?
𝟐𝟎
𝟏𝟎𝟎
?  32  13  5  4
×? = 𝟏𝟎𝟗𝟖
⇒ ? = 5490
949. Ans.a)
?  32  13  9
𝟑𝟒(?+𝟐)
𝟏𝟎𝟒(?+𝟐)
?  32  13  3
𝟑𝟑 ×𝟑𝟐 ×𝟑𝟑
= 𝟏𝟎𝟑 ×𝟏𝟎𝟐 ×𝟏𝟎𝟑
𝟑𝟖
= (𝟎. 𝟑)𝟖
𝟏𝟎𝟖
⇒ 4(? + 2) = 8
⇒?=0
950. Ans.b)
? = 12 + 28 + 36 – 8 = 76 – 8 = 68
951. Ans.d)
(𝟎. 𝟑)𝟒(?+𝟐) =
?  32  16
?  32  4
?  36
?=6
941. Ans.b)
(𝟏𝟒 + 𝟏𝟔 + 𝟏𝟒 + 𝟏𝟐) + (
𝟏
𝟏𝟏
+
𝟑
𝟏𝟏
+
𝟒
𝟏𝟐𝟏
+
?
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
114
𝟑
𝟏𝟏
)=
@Crossword2022
𝟏𝟏 + 𝟑𝟑 + 𝟒 + 𝟑𝟑
)
𝟏𝟐𝟏
𝟖𝟏
𝟖𝟏
= 𝟓𝟔 +
= 𝟓𝟔
𝟏𝟐𝟏
𝟏𝟐𝟏
or, 167196 + 35 × ? – (370 + 2) × 28 = 194440
or, 35 × ? = 194440–167196–(370 + 2) × 28
or, 35 × ? = 194440 – 167196 – 10360 + 56
or, 35 × ? = 37660
or, ? = 1076
960. Ans.b)
(37.5% of 2896)–20% of 1520+226
= ? × 16
0.375 × 2896 – 0.20 × 1520 + 226
= ? × 16
1086 – 304 + 226 = ? × 16
? = 1008/16 = 63
961. Ans.c)
39𝟑
? = 𝟓𝟔 + (
952. Ans.e)
49.5 + 987 − 48 =?
? = 988.5
953. Ans.a)
5
⇒ 35% of 180 + 182 = (27)3 +?2
⇒ 63 + 324 = 243 +?2
⇒ 387 − 243 =?2
⇒ ?2 = 144
⇒ ? = 12
954. Ans.a)
323
× 441 − 15 × 21 =?
357
19 × 17
⇒
× 441 − 15 × 21 =?
17 × 21
⇒ ? = 19 × 21 − 15 × 21 = 4 × 21 = 84
955. Ans.a)
? = √5125 – 289 – 75
= √4761 = 69
956. Ans.e)
962. Ans.c)
6
× 650 + 320 + 51 = x
5
780 + 320 + 51 = x
x = 1151
963. Ans.c)
4
2
8
234
7 −3 +4
=
5
3
15
?
12 − 10 + 8 234
8+
=
15
?
2 234
8+ =
3
?
26 234
=
⇒ ? = 27
3
?
964. Ans. d)
96
?
× 1050 −
× 500 = 998
100
100
?
× 500 = 1008 − 998
100
2
?3 = 64% of 150 + 7 × 3 − 92
2
?3 = 96 + 21 − 81
2
3
?3 = 36 ⇒ ? = 362 = 216
957. Ans.c)
?× 4 − 402 = 142 − 36 × 44
?× 4 = 196 + 402 − (40 − 4) × (40 + 4)
?× 4 = 196 + 402 − 402 + 42 = 212
212
?=
= 53
4
958. Ans.d)
√4624 + √? + 12 – 43 = 137
or, √? = 137 + 43 – 12 – √4624
or, √? = 168 – 68 = 100
or, ? = 100 × 100 = 10000
959. Ans.d)
189820 – 22624 + 35 × ? – 372 × 28 = 194440
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
115
@Crossword2022
?=
10×100
500
or, 62% of ? = 6820
or, ? = ( 6820 × 100 / 62 ) = 11000
972. Ans. b)
( 27 / 17 ) of 2295 ÷ 9 – ? = √729
? = ( 27 / 17 ) × 2295 ÷ 9 – 27
? = ( 27× 135 / 9 ) – 27
= 27 × 15 – 27 = 405 – 27 = 378
973. Ans. d)
(√81 × 30) + 130 = 80% of ?
(9 × 30) + 130 = 80% of ?
270 + 130 = 80% of ?
? = 400/0.8
? = 500
974. Ans. e)
1
3
2
52 ÷ of 8 + × 1 = ?
2
5
3
? = 13 + 1
? = 14
975. Ans. d)
? % of 400 + 310% of 60 = 500% of 82
4x + 186 = 410
x = 56
976. Ans. d)
=2
965. Ans.a)
?1/2 = 16 × 14 – 12 × 18 + 176/11
?1/2 = 224 – 216 + 16
?1/2 = 8 + 16
?1/2 = 24
? = 576
966. Ans.c)
(242 ÷ 8) × 5 = ? + 300
(576 ÷ 8) × 5 – 300 = ?
? = 72 × 5 – 300
? = 60
967. Ans.e)
729 216 × 72
3x =
×
= 81
243
576
3x = 34 ⇒ x = 4
968. Ans. b)
Q I: x =
Q II:
5428
1357
800×y
100
=4
= 293 −
750×22
100
⇒ 8 × y = 293 − 165 = 128
⇒ y=
128
8
= 16
969. Ans. a)
Q I: x = 9824 – 8074 = 1750
Q II: y = 618 + 31 – 29 = 620
970. Ans. a)
Q II: ⇒ 16 × 2.4 × x = 288 × 100
288 × 100
⇒ x=
= 750
16 × 2.4
800×y
750×22
Q I:
= 293 −
100
759 – 54 ×
𝟓
𝟗
= ?³
3
729 = ?
93 = ? ³
?=9
977. Ans. d)
?% of 1600 – 480 = (3/5) × 125 + 165
?% of 1600 = 3 × 25 + 165 + 480
? = (720/1600) × 100
? = 45
978. Ans. c
? = [(7)2.7 × (343)1.5]1/3
? = (7)2.7×(1/3) × (7)3×1.5×(1/3)
? = (7)2.7×(/3) × (7)3×1.5×(1/3)
? = 70.9 × 71.5 = 72.4
979. Ans. c
(49)16 ÷ (343)8 × (2401)3 × 49 = 7?
∴ (72)16 ÷ (73)8 × (74)3 × 72 = 7?
∴ 732 ÷ 724 × 712 × 72 = 7?
∴ 732–24+12+2 = 7?
100
⇒ 8 × y = 293 − 165 = 128
128
⇒ y=
= 16
8
971. Ans. b)
44% of 1950 + 82% of 250 + 62% of ? = 7883
or, 50% of 1950 – 6% of 1950) + 100% of 250 –
10% of 250 – 8% of 250 + 62% of ? = 7883
or, 975 – 117 + 250 – 25 – 20 + 62% of ? = 7883
or, 62% of ? = 7883 – 1063
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
116
@Crossword2022
∴ 722 = 7?
∴ ? = 22
980. Ans. a
(21 – 8) ? (13 - 10)
13 ? 3
So, ? = >
981. Ans. a
(54 ÷ 3 of 6 + 9) ? [13 − (12 − 6 ÷ 3) ]
12 ? 3
982. Ans. b
8[1 - {3 + (5 - 6 + 7)}] ? 0.8{0.75 ÷(1.35 - 0.6)}
- 0.8
8(-8) ? 0.8 – 0.8 -64 ? 0
983. Ans. b
(37 - 6 × 4 + 32 ÷ 8)
? (64 - 48 ÷ 6 × 4 + 8)
(41 – 24) ? (32 + 8)
17 ? 40
984. Ans. b
(12 + 4 - 8 ÷ 2 × 3) ? (7 - 5 + 14 ÷ 2 + 6)
(12 + 4 – 12) ? (20 – 5)
4 ? 15
985. Ans. b
(16 + 8 ÷ 4 − 2 × 3) ? (15 + 5 ÷ 5 × 2)
(16 + 2 – 6) ? (15 + 2)
12 ? 17
986. Ans. a
4
(2450 ÷ 7 + 112 × 2.5) ? of 441 ÷ 18 + 14
989. Ans. b
132 - 24 + 789 ÷ 263 = 46 * ? ÷ 23
=> 2 * ? = 169 - 24 + 3
=> 2 * ? = 148 => ? = 74
990. Ans. a
80% of 45 ÷ 12% of 50 + (?) = 18
=> ((80/100) * 45) ÷ ((12/100) * 50) + (?)
= 18
=> 36 ÷ 6 + (?) = 18 => 6 + (?) = 18
or, (?) = 12
991. Ans. e
(76 + 24 x 5 - 11 x 8) ÷ 4 + √144 = ?
=> (76 + 120 - 88) ÷ 4 + 12 = ?
=> 108 ÷ 4 + 12 = ?
=> 27 + 12 = ?
or, ? = 39
992. Ans. b
(3214 + 886 - 1073 - 1731)1/4 + (?)
= √361
=> (4100 - 2804)1/4 + (?) = 19
=> (1296)1/4 + (?) = 19
=> (36 * 36) 1/4 + (?) = 19
=> (6 * 6 * 6 * 6) 1/4 + (?) = 19
=> 6 + (?) = 19
or, (?) = 13
993. Ans. d
√1225 + √5776 - √3249
= √? + √1024
=> 35 + 76 - 57 = √? + 32
=> √? = 54 – 32 => ? = 22 2
=> ? = 484
994. Ans. d
56% of 3150 - 130% of 630 = 900% of ?
=> 1764 - 819 = 9 * ?
=> ? = 945/9 => ? = 105
995. Ans. e
78 * 34 ÷ 221 - 121 * 209 ÷ 1331 = ?
=> ? = 78 * 2/13 - 121 * 19/121
=> ? = 12 - 19 = -7
996. Ans. d
12.5% of 64 + 80% of 25 - ?% of 180 = 19
7
630 ? 266
987. Ans. a
126 ÷ 14 * 9√2 - √72= ?√2
9 * 9√2 - √72= ?√2
81√2 - 6√2 =? √2
75√2 =? √2
75 = ?
988. Ans. e
32% of 250 − 45% of 120 = 10 - (?/3)
[(32/100) * 250 ] - [(45/100) * 120]
= 10 - (?/3)
80 - 54 = 10 - (?/3)
26 = 10 - (?/3)
10 - 26 = ?/3
-16 = ?/3 = -48
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
117
@Crossword2022
=> 8 + 20 -19 = ?/100 * 180
=> ? = 9 * 100/180 => ? = 5
997. Ans. d
425 - 68% of 350 + ? = 16 2 - √2809
425 - (68/100) * 350 + ? = 256 - 53
425 - 238 + ? = 203
? = 203 - 187 = 16
998. Ans. e
√(945 ÷ 45 + 12 x 5) - ?
= 156 ÷ 39
√(21 + 60) - ? = 4
√81 - ? = 4
?=9-4
?=5
999. Ans. d
11 x ? x 23 = 572 + 2570
253 x ? = 3249 + 2570 = 5819
? = 5819/253 = 23
1000. Ans. c
?% of 480 = 1131 - 90% of 670
?% of 480 = 1131 - 90 x 670/100
= 1131 - 603 = 528
? = 528 x 100/480 = 110
1001. Ans.b
? = 32(0.16 + 0.04) = 320.20 = 32 1/5
Since, 32 1/5 = 2
? = 21 = 2
1002. Ans. d
(?)2 = 232 + 292 - 1= 529 + 841 - 1= 1369
? = 37
1003. Ans. e
?2 = (4 x 80 x ∛125)/(√256)
= 4 x 80 x 5/16
1004. Ans.(c)
3
5 13
×x+ ×
× 552 = 43 × 14
7
8 15
3
⇒ ×? = 602 – 299 ⇒ ? = 707
√𝑥 =70 – 21 = 49
⇒ x = 2401
From 1, 74 = 2401. So, x = 74 = 2401.
Statement 1 is true.
From 2, x is not an even number.
From 3, 2401 = 7 × 343. 343, is a factor of
2401.
So, 1 and 3 are true.
1006.Ans.(c)
3 4 1 3
? = (2 + 3 – 1– 2) + ( + – – )
7 5 3 14
90 + 168 – 70– 45
=2+
210
143
=2+
210
143
=2
210
1007. Ans.(b)
Quantity 1:
26 70 48 33
𝑥=
×
+
×
7 13 11 16
= 20 + 9 = 29
Quantity 2: √𝑦 % of 300 = 48% of 350 – 36%
of 450
3√𝑦 = 168 – 162 = 6
y=4
1008.Ans.(a)
Quantity 1:
𝑥 =√
72 200 111 400
×
+
×
= √196
100
3
100
3
x = 14
Quantity 2 : (y + 5)2 – 256 = 0
(y + 5)2 = 256
y + 5 = ± 16
y = 11, -21
Quantity 1 > Quantity 2
1009 Ans.(c)
55
𝑥 × 13 +
× 460 = ?× 21 − 227
100
⇒ 8 × x = 253 + 227
⇒ 8 × x = 480
7
From 1, 707 is an odd number, but 707 < 801.
So, 1 is false.
From 2, 707 is an integer and 601 < 707 < 801.
So, 2 is true.
From 3, 707/7 = 101. So, 3 is also true.
Hence, 2 and 3 both are true.
1005.Ans.(a)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
118
@Crossword2022
⇒ x = 60
1. x is an even number lying between 51 and 80.
(YES)
2. x is an odd number lying between 49 and 70.
(NO)
3. x is a multiple of 12. (YES)
So, 1 and 3 are true.
1010 Ans.(b)
x² = 38 + 43= 81⇒ x = 9
From 1, 93 = 729 > 83 = 512.
From 2, 9 is an odd number less than 11.
From 3, 1647/9 = 183. So, x is a factor of 1647.
So, 2 and 3 are true.
1011 Ans.(d)
x = 84.3 + 1064.9 + 1154 = 2303.2
1. x is a fractional number divisible by 2. (YES)
2. x is an even number lies between 2103.2 and
2403.2. (YES)
3. x is an odd number. (NO)
1012 Ans.(a)
19 51 11
𝑥=
×
×
× 490
5
7
3
= 49,742
From 1, 49742 is an even number and >
48592. So, 1 is true.
From 2, 49742 is not a prime number.
From 3, 49742/11 = 4522. So, x is multiple of 11.
Hence, 1 and 3 are true.
1013 Ans.c)
𝑥
+ 14094 + 91 = 14,285
13
𝑥
⇒ = 100 ⇒ ? = 1300
2. x is a fractional even number. (YES)
3. x is greater than 53. 124.8 < 125 (NO)
1015 Ans.a)
𝑥 = √784 + 2352
= √3136
x = 56
1. x is a multiple of 7 and 8 both. (YES)
2. 82 is less than x. (NO)
3. x is divisible by 13. (NO)
1016 Ans.(b)
(√7396 + 4√2401) + x = 100
86+7 + x = 100
100-93 = x
x=7
From 1, 73 = 343. So, 1 is true.
From 2, 90 + .86 × 50 = 133 which is divisible
by 7.
So, 2 is also true.
From 3, 72 = 49, which does not lies between 64
and 81.
So, 3 is wrong.
So, both 1 and 2 are true
1017 Ans.(c)
65% of 400 + √𝑥
= 44% of 800 – 12% of 400
⇒ (50% of 400 + 10% of 400 + 5% of 400) + √𝑥
= (50% of 800 – 6% of 800) – 12% of 400
⇒ (200 + 40 + 20) + √x
= (400 – 48) – 48
√x = 352 – 48 – 260 = 44
∴ x = (44)2 = 1936.
From 1, 1936/88 = 22. So, 1 is true.
From 2, 1936 does not lies between 1836 and
1936 but it is equal to 1936.
So, 2 is wrong.
From 3, 42 < 44 < 46
So, 422 < 442 < 462. 3 is also true.
So, both 1 and 3 are true.
1018 Ans.(c)
13
From 1, 362 = 1296 < 1300. So, 1 is true.
From 2, 1300/26 = 50. So, 2 is also true.
From 3, 1300 < 1400. So, 3 is false.
Hence, 1 and 2 are true.
1014 Ans.b)
𝑥
= 156
0.8
⇒ x = 124.8
1. x is an even number greater than 125.4. (NO)
√𝑥 =
36864
64
× 24 ×
1
48
= 288
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
119
@Crossword2022
∴ ? = 82944
1. x is a multiple of 18. (yes)
2. x is an integer less than 90000 (Yes)
3. x is an odd number greater than 88000 (No)
So, answer is Both 1 and 2
1019Ans (d)
(20 × 24) + (18 × 15) + (24 × 25) = ?
30 × (16 + 9 + 20) = ?
? = 1350
1020 Ans: c) None of these
=> 0.12% of 12250 – 0.09% of 400 = x
=> 14.70 - 0.36 = x => 14.34 = x
From 1, x is an odd number lies between 12
and 15 (NO)
From 2, x is an even number lies between 18
and 21 (NO)
From 3, x is an integer number (NO)
So, none of the statements are correct.
1021 Ans: e)
(18% of 200 + 43) × 10 – 110 = ? × 89
(0.18 × 200 + 64) × 10 – 110 = ? × 89
(100 × 10) – 110 = ? × 89
? = 890 ÷ 89
? = 10
1022 Ans: c)
=> 25 % of 6500 – 16 % of 1600 = x
=> 1625 -256 = x => 1369 =x
1. x is an odd number lies between 750 and 980
(NO)
2. x is an even number lies between 1250 and
1480. (NO)
3. x is an integer number. (YES)
1023 Ans: c)
⇒ 60% of 4500 + 40% of 6500 – 80% of 5500
=x
⇒ 2700 + 2600 – 4400 = x
⇒ 5300 – 4400 = x⇒ x = 900
1. x is an odd number lies between 730 and
880. (NO)
2. x is an even number lies between 1125 and
1225. (NO)
3. x is an non integer number. (NO)
1024 Ans: d)
Given expression:
⇒ (√1444 × √2500) ÷ 19 = x
⇒ (38 × 50) ÷ 19 = x
⇒ x = 100
1. x is an odd number lies between 80 and
130. (NO)
2. x is an even number lies between 95 and 112.
(YES)
3. x is an non integer number. (NO)
1025 Ans: a)
√(301–√(168–√(544+√(1042 –√(324)))))
=x÷3
√(301–√(168–√(544+√(1042 –18)))) = x ÷ 3
√(301–√(168–√(544+√(1024)))) = x ÷ 3
√(301–√(168–√(544+32)))) = x ÷ 3
√(301–√(168–√(544+32)))) = x ÷ 3
√(301–√(168–√(576))) = x ÷ 3
√(301–√(168–24)) = x ÷ 3
√(301–√(144)) = x ÷ 3
√(301–12) = x ÷ 3
√289 = x ÷ 3
or, 17 = x ÷ 3 or, x = 51
1. x is an odd number lies between 41 and 78.
(YES)
2. x is an even number lies between 49 and 62.
(NO)
3. x is an integer number. (YES)
1026 Ans: A)
1089 ÷ ∛1728 ÷ 11 + √225 = x2 - 652.75
1089 ÷ 12 ÷ 11 + 15 = x2 – 652.75
8.25 + 652.75 + 15 = x2
661 + 15 = x2
x2= 676
x = 26
1. x is an odd number lies between 18 and 29.
(YES)
2. x is an even number lies between 17 and 27.
(NO)
3. x is an integer number. (YES)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
120
@Crossword2022
1027 Ans: c)
72.9 ÷ 81 × √100 = x1/2 ÷ √324 + ∛64
72.9 ÷ 81 × 10 = x1/2 ÷ 18 + 4
729 ÷ 81 = x1/2 ÷ 18 + 4
9 – 4 = x1/2 ÷ 18
5 × 18 = x1/2
x1/2 = 90
x = 8100
1. x is an square of 90. (YES)
2. x is an multiple of 3 and less then 9000.
(YES)
3. x is divided by 27. (YES)
1028 Ans: b)
48.3 × 289 ÷ 3.4 ÷ 23 ÷ 68 × 21 = x3 + 28.125
483 × 289 ÷ 34 ÷ 23 ÷ 68 × 21 = x3 + 28.125
441/ 8 = x^3 + 28.125
55.125 – 28.125 = x3
x3 = 27
x=3
From 1, 2364/3 = 788, So, 3 is a factor of 2364.
From 2, 3 is a prime number but 35
= 243 ≠ 243 < x < 343
From 3, 36 = 729 and 44
= 256 and 45 = 1024
∴ 4 4 < 36 < 45
1029 Ans: a)
(16.67% of 4446 × 1292) ÷ (37.5% of 2584)
= x3 – 343
(4446 × 1/6 × 1292) ÷ (2584 × 3/8)
= x3 – 343
741 × 1292 ÷ (323 × 3) = x3 – 343
247 × 4 + 343 = x3
988 + 343 = x3
x3 = 1331
x = 11
1. x is an odd number and divisible by 11. (YES)
2. x is an odd number and divisible by 2. (NO)
3. x is an integer number. (YES)
1030 Ans: a)
17.5% of 754 = x1/2 + 51.31 + 51.64
35% of 377 = x1/2 + 102.95
131.95 – 102.95 = x1/2
x1/2 = 29
x = 841
1. x is an odd number lies between 775 and
876. (yes)
2. x is an even number lies between 825 and
888. (no)
3. x is an integer number. (yes)
1031 Ans: b)
x1/3 ÷ √4225 = 351 × 216 ÷ 169 ÷ 36
x1/3 ÷ 65 = 351 × 6 ÷ 169
x1/3 = 27 × 65 × 6 ÷ 13
x1/3 = 27 × 6 × 5
x1/3 = 3 ∛30
x = 810
1. x is an odd number lies between 690 and 856.
(NO)
2. x is an even number lies between 725 and
888. (YES)
3. x is multiple of 27. (YES)
1032 Ans: b)
x ÷ 1156 = 6859 × .64 ÷ x ÷ 19
x × x = 6859 × .64 ÷ 19 × 1156
x2 = 361 × .64 × 1156
x = 19 × .8 × 34
x = 516.8
1. x is an odd number lies between 512 and 856.
(NO)
2. x is an even number lies between 485 and 786.
(YES)
3. x is multiple of 4. (YES)
1033 Ans: c)
3463 × 295 = 1021585
1021585 – 18611 = 1002974
1002974 – 5883 = 997091
1. x is an odd number lies between 800510
and 1250000. (YES)
2. x is an even number lies between 75089 and
786480. (NO)
3. x is an integer number. (YES)
1034 Ans: c)
(23.1)2 = 533.61
(48.6 ) 2 = 2361.96
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
121
@Crossword2022
(39.8) 2 = 1584.04
533.61 + 2361.96 – 1584.04 = 1311.53
1311.53 – 1147.69 = 163.84
1. x is an odd number lies between 145 and 256.
(NO)
2. x is an even number lies between 121 and 501.
(YES)
3. x is multiple of 4. (YES)
1035 Ans: e)
Divide the question into parts,
33 % of 769 + 24% of 161 – 68 = x
⇒ 33% × 769 = 253.77—– (1)
⇒ 24% × 161 = 38.64—– (2)
Finally,
253.77 + 38.64 – 68 = 292.41 – 68 = 224.41
1. x is an odd number lies between 156 and 420.
(YES)
2. x is an even number lies between 188 and 256.
(NO)
3. x is an integer number and multiple of 2. (NO)
1036 Ans: (c)
795 ÷ 15 = 53
768 ÷ 12 = 64
1273 ÷ 19 = 67
So, 53 + 64 – 67 = 117 – 67 = 50
1. x is an odd number lies between 49 and 81.
(NO)
2. x is an even number lies between 36 and 64.
(YES)
3. x is an integer number and multiple of 5.
(YES)
1037 Ans: c)
(4 × 4)3 ÷ (512 ÷ 8)4 × (32 × 8)4
= (2 × 2) 𝑥 + 4
⇒ 46 ÷ (64)4 × 2564 = (4) 𝑥 + 4
⇒ 46 ÷ (43 )4 × (44 )4 = (4) 𝑥 + 4
⇒ 46 + 16 − 12 = (4) 𝑥 + 4
⇒ 410 = (4) 𝑥 + 4
So, x + 4 = 10
⇒ x = 10 - 4
∴x=6
1. x is an odd number lies between 4 and 12. (NO)
2. x is an even number and multiple of 3. (YES)
3. x is an integer number and multiple of 2. (YES)
1038 Ans: d)
0.36 of 52.5 + x of 35 = 57.4
⇒ 18.9 + x of 35 = 57.4
⇒ x of 35 = (57.4 − 18.9)
⇒ x = 38.5/35
⇒ x = 1.1
From 1, 1.1= Not divisible by 2, so it is odd
number.
So, 1 is true.
From 2, 1.1= Not divisible by 2, so it is odd
number.
So 2 is wrong.
From 3, 1.1= 11/10 = Non integer number.
So, 3 is wrong.
1039 Ans: c)
⇒ 65.5 – 38.2 + 8.60 × 4.4 = x + 2.5
⇒ 65.5 – 38.2 + 37.840 = x + 2.5
⇒ 65.5 + 37.840 – 38.2 = x + 2.5
⇒ 103.340 – 38.2 = x + 2.5
⇒ 65.140 = x + 2.5
⇒ 65.140 – 2.5 = x
⇒ 62.640 = x
From 1, 62.140= divisible by 2, So it is even
number.
So, 1 is wrong
From 2, 62.140= divisible by 2, So it is even
number
So 2 is true.
From 3, 62.640 = divisible by 4.
So, 3 is true
1040 Ans: e)
{(2.5)3 + (1.5)3}/{(2.5)3 – (1.5)3}
Calculation:
⇒ x = {(2.5)3 + (1.5)3}/{(2.5)3 – (1.5)3}
⇒ x = (15.625 + 3.375)/(15.625 - 3.375)
⇒ x = 19/12.25
⇒ x = 1900/1225 = 76/49= 1.55
From 1, 1.55 = Odd Number.
So, 1 is true.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
122
@Crossword2022
From 2, 1.55 = Odd Number,
So 2 is wrong.
From 3, 76/49= 1.55, is an non integer
number.
So, 3 is wrong.
So, Only 1 is true
1041 Ans: C)
(83)2+(37)2−√x=8160
⇒ 6889 + 1369 – √x = 8160
⇒ √x = 8258 – 8160
⇒ √x = 98 ⇒ x = 982 ⇒ x = 9604
From 1, 9604 = divisible by 2, So it is even number .
So, 1 is wrong.
From 2, 9604 = divisible by 2, So it is even
number .
So 2 is true.
From 3, 9604 = divisible by 4.
So, 3 is true.
1042 Ans: b)
85% of 4/7 of 6755 = x + 1678
⇒85100×47×6755=x+1678
⇒85100×3860=x+1678
⇒ 3281 = x + 1678
⇒ x = 3281 – 1678
⇒ x = 1603
From 1, 1603 = Not divisible by 2, So it is odd
number.
So, 1 is true.
From 2, 1603 = Not divisible by 2, So it is odd
number.
So 2 is wrong.
From 3, 1603 =Integer.
So, 3 is true.
1043Ans: e)
1.05% of 110 + 1.05% of 130 = x
⇒x=(1.05/100)×110+(1.05/100)×130
⇒x=(1.05/100)×(110+130)
⇒ x = 63/25 = 2.52
From 1, 2.52 = divisible by 2, So it is even number.
So, 1 is wrong.
From 2, 2.52 = divisible by 2, So it is even
number.
So 2 is true.
From 3, 63/25 = 2.52
=Non integer number
So, 3 is wrong.
1044 Ans: c)
From 1, 3928.32 = divisible by 2, So it is even
number.
So, 1 is wrong.
From 2, 3928.32 = divisible by 2, So it is even
number.
So 2 is true.
From 3, 3928.32 = divisible by 4, so it is the
factor of 4.
So, 3 is true.
1045 Ans: b)
1220×15 – 5870 ×0.25 = 16832.5
From 1, 16832.5 = not divisible by 2, So it is odd
number.
So, 1 is true.
From 2, 16832.5 = not divisible by 2, So it is odd
number.
So 2 is wrong.
From 3, 16832.5 = divisible by 5.
So, 3 is true.
1046 Ans. c)
Solution:
212 +(172 -132) = 212 +((17+13)(17-13))
= 441 +(30×4) =561
From 1, 561 = not divisible by 2, So it is odd
number.
So, 1 is true.
From 2, 561 = not divisible by 2, So it is odd
number.
So 2 is wrong.
From 3, 561 = divisible by 11.
So, 3 is true.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
123
@Crossword2022
1047 Ans. b)
6 [
Required value = (0.83)  (0.17)
3
3
60  279  168  128
72
We know that of a+b+c=0
432  299
Then a  b  c  3abc
72
3
3
3
0.83+0.17+-1=0
1052
(0.83)  (0.17)  (1)  3.(0.83)(0.17)( 1)
3
3
3
 (0.83)3  (0.17)3  1  (3  0.83  0.17 1)
 1  0.51 0.83
63 (729)
364.824
1049 Ans. b)
3
(2.25)
2
(2.25)  16  4(2.25) 
 P (let)
2.25  4
2
2
3
(2.25)  4  4(2.25)(2.25  4)  (2.25)
2.25  4
3
3
3
(2.25)  4  (2.25)
2.25  4
2
2
3
3
We know that (a+b) (a  b  ab )  a  b
P=
64

9
4
4
8 2

5
16
364.824
 36.4824  3794.1696
 3794.1696  3648.24  36.4824
 182.412  x 
364.824
2
182.412
1053 Ans. e)
x = 17 × 23 + 19 × 47 – 36 × 4.5
x = 1122
From 1, 1122/11 = 102. So, 1122 is multiple of 11.
From 2, 1122 is an even number.
From 3, 362 = 1296 > 1122
1054 Ans. b)
(1/8) of (54% of 2500 – 550) = ? ÷ 2
(1/8) × (0.54 × 2500 – 550) = ? ÷ 2
(1/8) × (1350 – 550) = ? ÷ 2
800 ÷ 8 = ? ÷ 2
? = 100 × 2 = 200
1055 Ans. e)
9 × x = 207.27
⇒ x = 23.03
From 1, 23.03 > 21.34
From 2, Since, 23.03 > 23 and < 24.34. Hence,
232 < 23.032 < 24.342
From 3, 23.03 is an odd number.
∴ all the three are correct.
1056 Ans. d)
(x)³ = 180 + 156 – 120 = 216 ⇒ x = 6
From 1, 63 = 216, 44 = 256, 35 = 243
From 2, 2226/6 = 371
From 3, 64 = 1296 = even number and less
than 55 = 3125
So, only 2 and 3 are true.
2
2
1
1
7 9

 63
 49  81  130
2
2
2
2
9
7
9 7
P=
72
x
So , the required value is
P=
61
x
2/3
(729)2/3  (93 )2/3  92  (343)2/3  (73 )2/3  72
P=
1
x
1
1
= 63

2/3
2/3
(729)
(343)
63
133
]
Ans.d)
3648.24  364.824  x  36.4324  3794.1696
364.824
 (343)

299
72
72
3648.24 
1048 Ans. d)
2/3
]  6 [
64
64  4
 P=
25
25
4
 3.2
5
1050. Ans. b) 0
1051. Ans c)
5
7
1
7
5 31 7 16
6  [  {3  2  1 }]  [    ]
6
8
3
9
6 8 3 9
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
124
@Crossword2022
1057 Ans. a)
(x)² = 2 × 7√8 – 21 + 8 + 49 – 14√8
= 57 – 21 = 36
∴ x = ±6
From 1, (±6)4 = 1296, 73 = 343, 54 = 625.
So, 1 is wrong.
From 2, ±6 is an even number.
When x = 6, then this statement is true but
when x = -6, then this statement violates.
So, this statement is also wrong.
From 3, 729/±6 = ±121.5. 3 is also wrong.
So, all the three statements are wrong.
1058 Ans. b)
55
60
𝑥=
× 280 +
× 555 = 487
100
100
From 1, 487 is a prime number and also 487 < 987.
So, 1 is true.
From 2, 73 = 343 and 54 = 625
73 < 487 < 54. So, 2 is also true.
From 3, x = 487 does not lies between 459 and 578.
So, only 1 and 2 are true.
1059 Ans. c)
4 7 121
𝑥= ×
×
× 81 = 231
9 11 12
From 1, 231 is divisible by 3 but not by 2. So,
statement 1 is wrong.
From 2, 35 = 243 which is greater than 231. So,
2 is also wrong.
From 3, 231/33 = 7. So, 3 is true.
1060 Ans. b)
x = 654 + 459 – 750 = 363
From ,1 363  3 = 121 and 363  11 = 33
So 1. Is true
From 2
363 is not a prime number
So, 2 is wrong
From 3. Factors of 363 = 1 ,3,11,121,33,363
X has total 6 factors
So 3. Is also true.
1061 Ans. d)
27 37
38
⇒
× 7 = (0.3)𝑥 × 6
10 10
10
3 2
⇒ ( ) = (0.3)?
10
⇒x=2
From 1 , 2 is factor of every even number
6
4
2
From 2. 2 =64 < 3 =81 and 64 > 7 =49
From 3 , 2 is not the smallest prime number so
Both 1 and 2 are true.
1062 Ans.c)
x = 536 – 241 = 295
From 1, 295 is an odd number and also
divisible by 5
From 2, 295 <305
From 3, 295 not a prime number
So. Both 1 and 2 are true.
1063 Ans.(c)
x = 7 + 9 – 6√7 + 6√7 = 16
From 1, 16 is a multiple of 4
From 2 , 162  256  63  216 but <73  343
From 3, 966 is not divisible by 16
So both 1 and 2 are true.
1064 Ans.c)
2
3
4
𝑥 = × × × 105 = 8
5
7
9
From 1, 8 is an even number and 264  8  33 ,
so factor of 264
From 2,
2
a  18a  80  0
A  8,10
A = 8 is the value of x
From 3 , 8 is not a multiple of 16.
So only 1 and 2 are true.
1065 Ans.b)
Quantity 1 =
Quantity 2 :
2
2
(1.94  0.06)(1.94  1.94  0.06  0.06 )
2
2
2
(1.94  1.94  0.06  0.06 )
60
100
y
30
 240 
100
40
 250
100
60 y  30  240  40  250
y
17200
 286.66
60
Quantity 1 < Quantity 2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
125
@Crossword2022
1066 Ans.b)
Quantity 1 : = x
= 0.0078 + 1.04  20 + 0.0082-0.0001
X = 0.0679
Quantity 2 :
1071. Ans.a)
2𝑥 = 1000 − 805 − 187 = 8
Or, x = 3
From 1, 3 is an odd number and also 1590/3
= 530. So, it is a factor of 1590.
So, 1 is true.
From 2, x = 3 does not lies between – and 3 but
it is equal to 3.
From 3, 36 = 729, 63
= 216 and 83 = 512. So, 3 is also wrong.
1072 Ans.c)
3
2 6
of of of 1120 = 1000y
4 5 7
288 = 1000 y
Y = 0.288
Quantity 1 < Quantity 2
1067 Ans.d)
Quantity 1:
54
42
 550 
100
 425 
100
34
? = 7 × 5.6+ 5×8+4×
 650  x
1
3
 231   128  77  48
3
8
y  29
y  841
Quantity 1 < Quantity 2
1068 Ans.c)
x = 55.8 + 7.2 – 16.5 – 21.7 = 24.8
From 1, 24.8/8 = 3.1. So, x is a multiple of 8.
From 2, 24.8 is an even number and > 16.
From 3, 24.6 is a fractional number less than
36 = 62.
So, all the three statements are true.
1069 Ans.d)
x=
19600
70
1
1
8
14
× 16 × ×
8
= 82
1073 Ans.d)
Sol. √? + 432 –654 = 85
⇒ ? = 3072
⇒ ? = 94,249
From 1, 94249 is an odd number less than
94349.
From 2, factors of 94249 are 1, 307 and 94249.
So, it is not a prime number.
From 3, 503 = 125000 > 94249.
So, 1 and 3 are true.
1074 Ans.b)
100
x  297  178.5  221  254.5
Quantity 2: y 
5.6
𝑥=
= 40
From 1, 402 = 1600 > 64 = 1296 but x < 55 = 3125
From 2, 40 is a multiple of 8.
From 3, 40 is an even number and 31 < 40 < 69.
So, both 1 and 3 are true.
1070 Ans.d)
5
+
625
125
= 250
From 1, x = 250 is an even number and
231 < 250 < 350
From 2, 250<361
From 3, 3x250=750 is an even number
So both 1 and 2 are true.
1075 Ans.b)
(5! × 12) + 25% of 4000 = ? × 122
(120 × 12) + 0.25 × 4000 = ? × 122
? = (1440 + 1000) ÷ 122 = 20
1076 Ans.a)
?=
1
1
1
22 % of 2400 - ? 2 = × 35 % of 750 +19 ×8
2
2
5
1225
47×588
28×120
= 8.225
Quantity 1: x=
Or, (9/40) × 2400 - ?2 = (44/250) × 750 + 152
Or, 540 - ?2 = 132 + 152
?2 = 256
? = 16
Quantity 2:
y
4
47  588
28  120

1
 8.225
 200 
8
3
 32
4
 25  24  y  4
Quantity 1 > Quantity 2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
126
@Crossword2022
1077 Ans.c)
16
Quantity 1:
x
 450 
100
1081 Ansd)
2
1
1
1
x = (3 – 2 – 1 – 2) + ( − − − )
 880  3168
100
72  8.8 x  3168  x 
44
36
 250 
5
100
85
 200  y
200
y  90  85
y5
So, Ans is Quantity 1 = Quantity 2
1078 Ans.b)
x=
65
100
× 780 +
78
100
× 650
x = 1014
2
From 1, 32 =1024>1014
So 1 Is wrong.
From 2, 1014  6 = 169 so 2 is true
1
From 3, 1014  18 = 56 = 3 is wrong.
3
So only 2 is correct.
1079 Ans.d)
3
4
7
8
9
12
x= × ×
× 1080= 105
From I , x = 105 , which is a multiple of 21.
So 1 is true
From 2, x = 105 is an odd number <110
So 2 is also true.
From 3, 105 <121 (11)
1
7
7
7
14
7
14
From 1, -2 is a negative number and -16 < -2 < -1.
From 2, 24564/(-2) = -12282. X is a factor of
24564.
From 3, (-2) is a prime number.
So, both 1 and 2 are true.
1082 Ans.b)
7
50
𝑥 = × 630 −
× 240 = 1470 − 120 1350
3
100
From 1, 1350 is a multiple of 15 lying between
1250 and 1400.
From 2, 64 = 1296 < 1350.
From 3, 1350/450
= 3. So, statement 3 is also true.
So, all the statements are true.
1083 Ans.b)
Quantity 1:
4 18
𝑥 =9× +
3 6
𝑥 = 12 + 3
𝑥 = 15
3
2
Quantity 2 : of of 150 = 45
4
5
Quantity 1 < Quantity 2
1084 Ans.e)
Quantity 1:
48
46
𝑥=
× 950 −
× 840
100
100
= 456 − 386.4 = 69.6
Quantity 2: y% of 250
= 25% of 480 + 40% of 360
2.5y = 120 + 144
y = 264/2.5 = 105.6
Quantity 1 < Quantity 2
1085 Ans.c)
15 165 3 11 165
?=
×
× ×
=
= 41.25
33
4
5 3
4
1086 Ansb)
1
3
30
? = × 420 + × 655 −
× 550
4
5
100
? = 105 + 393 − 165
? = 333
1087 Ans.c)
?
60
1
× 720 −
× 20 = × 24
60
100
4
⇒ 12 × ? = 18
⇒? = 1.5
8.8
Quantity 2:
1
= −2 + ( − )= –2
2
3 is wrong.
So Both 1 and 2 are correct.
1080 Ans.a)
5 14 13 13
x= +
×
÷
4 9
8
2
5 14 13 2
59
23
= +
×
×
=
=1
4 9
8 13 36
36
23
From 1, 1 is a fractional value less than 2.
36
From 2, x < 2. So, x does not lies between 2 and 3.
From 3, a2 – 5a + 4 = 0
a = 4, 1
x is greater than 1 but less than 4. So, 3 is also
wrong.
So, only 1 is true.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
127
@Crossword2022
1088 Ans.d)
√
1093 Ans.d)
11 39
40
  225 
 x  45
3 5
100
20
?
50
× 110 +
× 300 =
× 700
100
100
100
⇒ √22 + 3 ×? = 350
122478
⇒? =
⇒? = 40826
3
1089 Ans.b)
2187 × 3𝑥 = 243 × 729
(3)5 × (3)6
⇒ 3𝑥 =
(3)7
?
4
⇒3 =3 ⇒𝑥=4
From 1, 4 is an even number and a factor of
245648. (because its last two digits are
divisible by 4)
From 2, 4 is an integer and -8 < 4 < 8.
From 3, 45 = 1024, 54
= 625, 64 = 1296.
5 4 < 45 < 6 4 .
So, all the three statements are true.
1090 Ans.c)
4
(? −4√2) = × 1250 × 5
5
? = 5000 + 4√2
? = (5000 + 4√2)
1091 Ans c)
 143  45 
x
46% of x +
2
From III , ( 30) = 127000 = Even number
So, Both I & II are true.
1092 Ans.e)
3
100
72

4
 x  357.5
From I , 357.5/5 = 71.5 = multiple of 5
From II , 357.5 > 355
From III , 357.5 is not a multiple of 3
So only I and II are true.
1094 Ans c)
From II, ( 30) =900 = 890<900<910
54
715
2
From I, 30 = 5 x 6 = multiple of 5
 550 
 45  x
5
225 % of 480 + 361 % of x 2  4 81 % of 8100
15
19
8100
2
 480 
 x  3
100
100
100

19 x
2
 72+
 243  x  900  x  30
100
12
2
3 3
of of 720  50%of 1016
4 5
46 x
 324  508
100
46 x  18400
x  400
2
From I , 20 = 400 and , 400 is the square of
20 which lies between 18 and 24.
From II , 20 is a multiple of 5
From III , 20 = even number but does not lies
between 20 and 30.
So ans is Both I and II.
1095 Ans. c)
(6) 4  (62  63 )3 122  6  122  6(x  4)
6415 2  6 x  4
x  4  21
x  17
Form I , x = 17 odd and prime number both
2
From II , 17 =289 = 169<289<290
From III , 17 is not divisible by 2
So only I and II are true.
1096 Ans. d)
A = 41 3  23  2  123  46  169
2
11
B =  72   32  48  88  136
3
4
 150 = x  66  90  x
5
x  156
From I , 162  256  156
From II , x = Even number nut does not lies
between 166 to 256
From III, 156 = 12 x 13
So only III is true.
3A – 4B = 3 x 169 – 4 x 88=507-352 =155
From I, 155 is an odd number and divisible by 5
From II , 155 is not an even number
From III , 155 > 150
So, only I and III are true.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
128
@Crossword2022
Quantity 1 :
y
3
1
x : of x + 37 %of256 = 42%of400
4
2

 1024 
8
2y
 49  289  238  478
22
%ofx  2
1
of 48  22
3
%of 40
2
1
% of y + 11 % of 189
3
9
300
 64% of
 106
1
2
Quantity 2 : y : 16
4
1101 Ans. a)
Quantity 1 :
2
200
x-
900
Quantity 1 > Quantity 2
7
45
 48 
3
 40 
2x
200
 112  9
9
2 x  1089  x  544.5
1098 Ans.b)
100
2
9
 31  y  46.5
 350 
 84
7
Quantity 1 : x :
3
64
3
1
2 2
2
2
A -B +2AB = 7  ( 17)  2  7  17
Quantity 2 :
200
25
150
y
 1024 
 106
300
200
100


1100 Ans.
A = 63 x 2.5 – 43 x 3.4 = 157.5-150.5=7
B= 72/100 x 450 – 62/100 x 550
= 324 – 341=-17
3
3
42
x   256 
 400
4
8
100
3x
 96  168
4
3x
 72
4
x  96
3
700
1
2
3
4 x  3 y  4  25  3  64  100  192  92
1097 Ans.a)
Quantity 1 :
3
 84 
y4
2
1
66 %of x +12 %of1024 = 150%of106
3
2
1
100

300
Quantity 2 : y :
2y
100
Quantity 2:
32
x
 450 
100
 250
50
100
 224  144  2.5 x  x 
368
y
300
100
 189 
900
64

100
300
=
4
y
 21  48
6
y
 x  147.2
y  162
 27
6
Quantity 1 > Quantity 2
1102 Ans. d)
2.5
From I , x = 147.2 , not an integer
From II , x = 147.2 fractional number and
divisible by 2
From III, x = 147.2 not a whole number
So, only 2 is true.
1099 Ans.e)
256 
50
100

512
3 
100
 128  15.36 
5
x  1024 
2
5

100
x  20.48  143.36 
2
x = 3 81  9  4 128of 51200
2
5
x  20.48
2
5
x  122.88  x  49.152
2
From I, x not greater than 51
 x  9  4 16  8  16  16  2
 9  16  25  5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
129
@Crossword2022
From II, x is a fractional number and divisible
by 2
From III, 39.45 < 49.152 <51.143
So, Both II and III are true.
1103 Ans. d)
3 512%of 450  75  x  0.5  14400
100
100
 8  4.5 
3
x  .5  144
8
 36 
3
x  72  x 
8
36  8
3
 x  96  x  9216
From I, 9216 is an even number and
3
20  8000
From II, 9216 > 8000
From III, 9216/36=256
So all the three statements are true.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
130
@Crossword2022
Approximation
Complete Book on Speed Maths 4000 Questions
BASIC CONCEPT
Approximation generally means finding an answer for the complex calculation that may involve numbers
on division, multiplication, square roots, cube roots, plus and minus.
Approximation questions are asked in the Bank and Insurance exam to check the ability of an aspirant to
deal with numbers which can be in one of the following two types.
Rule-Always keep in mind the “BODMAS” rule. These operations have priorities in the same order as
mentioned.
Explanation: Whenever we have more than one operation in the given calculation, we have to do the
operations according to the priority specified by ‘BODMAS’
B-Bracket
O-Of (means multiplication)
D-Division
M-Multiplication
A-Addition
S-Subtraction
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
131
@Crossword2022
(a) 42
(d) 26
PRACTICE QUESTION
Q.1
Q.2
Q.3
Q.4
Q.5
Q.6
Q.7
Q.8
Q.9
Q.10
Q.11
Q.12
2
? % of 24.91% of 39.93% of((11.93) + 5.98)
= 2.25
(a) 12
(b) 18
(c) 20
(d) 15
(e) 25
(7.92)3 + (7.92)2 = −99.96 + (? )2
(a) 26
(b) 24
(c) 36
(d) 16
(e) 25
32.99×41.89×4.98
10.93×14.88
Q.13
Q.14
+ 13.97 =? % of 279.88
(a) 35
(b) 15
(c) 25
(d) 30
(e) 20
96.96 + 996.96 − 99.66 + 999.96 + 5.96 =
Q.15
399.96 × ?
(a) 8
(b) 7
(c) 6
(d) 5
(e) 4
9.99% of 299.99 = (? )3 + (? )
(a) 1 > ? < 2 (b) 3 < ? > 6
(c) 4 > ? > 2
(d) 8 < ? > 7 (e)None of these
(16.992)² + (21.012)² + √2915.83 = (?)²
(a) 26
(b) 28
(c) 22
(d) 23
(e) 38
59.9% of 959.8+65.11% of 240.01=?% of 6099.8
(a) 15
(b) 10
(c) 20
(d) 12
(e) 7
√(12.9)2 + 27.98 ÷ 4.01 – (3.01)3 +? = (15.93)
(a) 107
(b) 117
(c) 93
(d) 85
(e) 125
285.932 × 10.023 + 65.117 × 54.08 = ? +
163.99
(a) 6206
(b) 6220
(c) 6186
(d) 6236
(e) 6176
82.04
144.02
×
24.04
655.98
Q. 16
Q.17
Q.18
728.06
?
(b) 16
(e) 32
(c) 22
× 15.02 + 23.89% of 550 – 37.96
= (22.09)2
(a) 20
(b) 36
(c) 32
(d) 24
(e) 28
36.08× ? + 33.09 ×
4.06 + √440.98 = (21.11)2
(a) 8
(b) 2
(c) 9
(d) 11
(e) 14
567.89 + 329.93 – (11.98)2 = 8.03% of ?
(a) 9255
(b) 9425
(c) 9755
(d) 9625
(e) 10225
(13.012)² + (21.025)² - 29.89 × 7.025
= ? – 520 +150
(a) 770
(b) 925
(c) 820
(d) 850
(e) 720
18.05% of 1900.128+?% of 1149.89
= 684.025– 111.89
(a) 35
(b) 25
(c) 20
(d) 40
(e) 30
439.92
?
= (8.01)3 − (2.01)³ − (241.92 × 1.98)
(a) 36
(b) 18
(c) 32
(d) 22
(e) 28
Q.19 ?2 −431.98 = 1239.81 + 482.21 − 1313.01
(a) 29
(b) 33
(c) 39
(d) 19
(e) 23
Q.20 30.025 × √?+ √961.01 = 11.01% of 1300 −
22.21
(a) 25
(b) 9
(c) 16
(d) 36
(e) 64
Q.21 ?3 × 17.98 + 12.03 % of 450.03
4
× ? = 17.97
= (14.02)2 + √15.99
(a) 9
(b) 2
(d) 8
(e)11
a) 815
b) 871
c) 808
d) 864
e) 829
41.89% of 650.09 + (2.99)5 - √? =
2.13 × (4.09)4
(a) 18
(b) 16
(c) 20
(d) 24
(e) 12
? % of 750.21 + (15.08)2 – 72.10 % 0f 449.93
= (7.98)2 + (2.03)5
Q.22
Q.23
?
14.08
(c) 5
3
+ (22.03)2 = (23.98)2 + √63.98
(a) 1344
(b) 1300
(c) 1296
(d) 1248
(e) 1440
? % of 1355.02 + 19.98% of 1210.01 = (27.99)2
(a) 75
(b) 80
(c) 60
(d) 40
(e) 24
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
132
@Crossword2022
Q.24
Q.25
= + 59.91% of 159.988
? + 35.09 % of 1279.98 = (24.03)2 + √195.98
(a) 142
(b) 148
(c) 156
(d) 164
(e) 176
56.03 % of ?+125.02% of 96.03 = (13.98)2 -
(a) 113 < ? < 123 (b) 120 < ? < 122
(c) 133 > ? < 150 (d) 143 < ? < 150
(e) None of these
4
Q.26
Q.27
Q.28
Q.29
√1295.98
(a) 120
(b) 115
(c) 105
(d) 125
(e) 135
27.82% of 449.92+?% of 1199.86
= 199.89+225.92
(a) 45
(b) 25
(c) 40
(d) 28
(e) 35
1729.79 + 1269.89 + ? = 249.91 × 19.83
(a) 3000
(b) 2800
(c) 1800
(d) 2000
(e) 2200
1149.89 + √? – 14.92 = 89.815 × 13.012
(a) 520
(b) 425
(c) 415
(d) 445
(e) 515
(? )2 + (11.79)2 + (6.01)2 + (8.12)3
= 499.825 + 448.02
(a) 32
(b) 26
(d) 12
(e) 16
√410.01 + 220.10– √24.98 =? +√225.05
Q31
(a) 10
(b) 25
(c) 5
(d) 15
(e) 20
(27.02)2 + 2669÷ 2.98 – 218.9
= 1869.6 - ?
(a) 470
(b) 420
(c) 510
Q.32
Q.34
(e) 4360
Q.35
Q. 36
(b) Multiple of 3
(d) Multiple of 7
?²+29.07×5.114–115.117 = 8.9% of
400.118+522.9
(a) Multiple of 5
(b) Prime No.
(c) Non Prime No. (d) Multiple of 7
(e) None of these
Q.41
Q.42
Q.43
(c) 4500
√7567.4× 4.52 +161.8 × 7.97= 2399.6 -?
(a) 800
(b) 640
(c) 660
(d) 760
(c) 109
(e) None of these
Q.40
3599÷8.98 +1244.9×2.98+(17.99) 2= ?
(d) 4550
(b) 97
(e) 107
(a) Multiple of 5
(c) Multiple of 4
(e) 9200
(b) 4460
(a) 112
(b) 10 2+ 11
(c) 92 + 8
(d) 121
(e) None of these
(89.99)2 – (67.03)2 – 64.99% of 780.02 =31.93× ?
Q.39√89.99 × 23.99– (112.01 × 17.9) + 480.93 = ?
(e) 500
(a) 4400
620.99 ÷ 23.01 + 28.11% of 749.899 = ? +
36.001% of 349.93
(a) 113
(d) 87
17998÷ 4.99×1.52+ 7199.2 -3448.6 = ?
(a) 9250
(b) 9080
(c) 9100
(d) 9150
Q.33
Q.38
(c) 24
Q.30
(d) 540
Q.37
Q.44
(e) 710
Q.45
√16.9 × 44.9 + 4798.5 ÷ 3.98 + 59.8=?
(a) 50
(b) 45
(c) 41
(d)37
(e) 54
(2262.98 ÷ 31.01) × (510.01 ÷ 169.99)
[(√530 × 36.003) ÷ 47.987] ×?
= 5863.10376
(a) 113 < ? < 123 (b) 120 < ? > 122
(c) 133 > ? < 320 (d) 143 < ? < 300
(e) None of these
(77.987% of 358) + (68.55% of 729) = ?
(a) Multiple of 2 (b) Multiple of 10
(c) Multiple of 5 (d) 780
(e) All of these
1
√624.995 + (4.9989)2 = ? ÷ 4.9900865
(a) 9 < ? < 3
(b) 12 > ? < 122
(c) 13 < ? < 15 (d) 23 < ? < 150
(e) None of these
989.001+ 1.00982 × 76.792 = ?
(a) 1150
(b) 1070
(c) 1240
(d) 1188
(e) 1044
63.9872 × 9494.8780 ÷ 243.003 = (?)²
(a) Multiple of 2 (b) Multiple of 10
(c) Multiple of 5 (d) 50
(e) All of these
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
133
@Crossword2022
Q.46
Q.47
√1024.002 ÷ 3.996 ÷ 9.98 + 29 = ?
(a) 113 < ? < 123 (b) 20 < ? > 22
(c) 33 > ? < 20 (d) 43 < ? < 23
(e) None of these
√? = (1248.28 + 51.7) ÷ 99.9 − 7.98
(a) Multiple of 5
(b) Multiple of 7
(c) 13 > ? < 32
(d) 43 < ? < 300
(e) None of these
68
35.99√?+ 32.0032√? =
Q.49
(a) 113 < ? < 103 (b) 120 < ? < 112
(c) 133 > ? < 140 (d) 143 < ? < 300
(e) None of these
95.98 + (30.01)2 − 795.99 = (? )2 + 3.94
(a) Multiple of 7
(b) Multilple of 2
(c) Both A & B
(d) Multiple of 3
(e) None of these
Q.50
Q.51
Q.52
Q.56
× (? )
Q.48
10.998
Q.55
Q.57
Q.58
1
(15.95)4 + (3.01)3 − 111.99 × 2.02 + (9.98)2
(a) Negative No. (b) Multiple of 5
(c) Both A & B
(d) 143 < ? < 300
(e) None of these
1
Q.59
1
[(2197.02)3 + (343.99)3 ] = √(? )2 − 39.991 +
10.95
(a) 13 < ? < 23
(b) 20 < ? > 22
(c) Both A & B
(d) 3 < ? < 23
(e) None of these
Q.60
Q.61
29.99% of 625.03
× 24.010 − 39.991 = ?3 −
4.97% of 999.989
21.04 × 22.06
Q.53
Q.54
(a) 13 < ? < 23 (b) 20 < ? > 22
(c) Both A & B
(d) 43 < ? < 23
(e) Multiple of 2
79.998% of 2499 + 226.067 − 412.001 −
4.034 =?2 + (20.99)2
(a) 23 < ? < 33 (b) 20 < ? > 40
(c) Both A & B (d) 13 < ? < 45
(e) None of these
? % of (843.05 − 126.054 − 116.054)
= 522.02
(a) 93 < ? < 23 (b) 50 < ? > 22
(c) Both A & B (d) Only B
(e) None of these
Q.62
Q.63
Q.64
? +150.01% of 249.89 = 45.978 × 12.003
(a) 113 < ? < 223 (b) 110 < ? > 22
(c) Both A & B
(d) Multiple of 5
(e) None of these
125.09 % of 440.01 + 74.98 % of 839.98 +
3
√7.99 = 39.89 × ?
(a) 13 < ? < 23(b) 20 < ? > 22
(c) Both A & B (d) 3 < ? < 23
(e) None of these
? × 128.09 + 1728.09 = (12.99)3 + 170.99
(a) Prime No. (b) Multiple of 5
(c) Both A & B (d) 3 < ? < 23
(e) All of these
?3 × 15.02 + 125 % of 463.94
= (38.01)2 + 95.98
(a) 13 < ? < 23 (b) 20 < ? > 22
(c) Both A & B
(d) Multiple of 2
(e) None of these
1267.98 + ?3 = (12.02)3 + 51.98
(a) Multiple of 4 (b) Multiple of 2
(c) Both A & B
(d) 3 < ? < 23
(e) All of these
?
14.09
+ (11.97)2 − √1936.01 = (15.98)2
(a) 2164
(d) 2184
(b) 2196
(e) 2124
420.12
1
?
(c) 2118
= (361.11)2 − 22.01 × 6.99 + 141.99
(a) 13 < ? < 23 (b) 20 < ? > 22
(c) Both A & B
(d) 43 < ? < 23
(e) None of these
?+185.10–79.09=(23.01)²-70.01% of 139.99
(a) 113 < ? < 330 (b) Multiple of 5
(c) Both A & B
(d) 43 < ? < 23
(e) None of these
√783.98 + (22.02)2 = 2 × (? )2
(a) Multiple of 2 (b) Multiple of 4
(c) Square of 4
(d) 15 < ? > 10
(e) All of these
44.04% of 349.98+205.01% of 140.01 = (?)²
(a) Multiple of 9 (b) Multiple of 3
(c) Cube of 3
(d) 21
(e) Both B & D
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
134
@Crossword2022
Q65
Q.66
Q.67
Q.68
Q.69
?
4
+ 44.01 + 139.99 = 78.09 + 249.01 + 86.99
(a) 113 < ? < 823 (b) 240 < ? > 222
(c) 333 > ? < 120 (d) 430 < ? < 223
(e) None of these
11.922 + 15.96 of 2.93 – 19.92 ÷ 3.99 = ?
(a) 187
(b) 205
(c) 117
(d) 165
(e) 198
851.92 - 12.93 × 7.98 - 101.92 × 2.93 - 0.91= ?2
a) 19
b) 17
c) 15
d) 21
e) 27
3.94 + 1/12.93 of {2599.96 ÷ (117.98 – 107.98)}
=?
(a) 16
(b) 20
(c) 32
(d) 28
(e) 24
b) 13
e) 21
Q.79
Q.80
Q.81
c) 9
1
1
Q.82
(25.11)2 × (80.87)1/4 × (49.22)2 + 3.13 ×
7.01 + 2 = 2?
a) 2
b) 4
d) 9
e) 10
Q. 71
Q.78
3
(63.94 × 15.96 ÷ 255.96)2 = √[3.94(? −3) ]
a) 11
d) 7
Q.70
Q. 77
c) 7
Q.83
3
(18.10 × 5.05 – 10.098) – ( of 15.83)
4
= 33.35 + ?
A) 37
D) 46
B) 28
E) 35
C) 30
Q.84
1
Q.72 (66)3 + (3.01)3 – 69.98 × 2.02 +
30% of √6399 = ?
(a) – 85
(b) 85
(c) – 75
(d) 75
(e) – 95
Q.73 90.77 + 116.81 ÷ 13.40 – 44.16 = 152.67 - ?
A) 97
B) 157
C) 107
D) 119
E) 87
Q.74 √? × 45.16 = 250.08 × 15.01 + 138.21 ×
24.88
A) 25600
B) 26500
C) 160
D) 50
E) 2560
Q.75 [1279.98)2 ÷ 32.23 × 23.94] ÷ 47.98 = ?2
(a) 120
(b) 96
(c) 150
(d) 84
(e) 160
Q.76
599.99 ×
3
2
Q.85
Q.86
Q.87
Q.88
(a) 12000
(b) 22000
(c) 16000
(d) 18000
(e) 8000
(2.992 × 3.992 × 4.99) ÷ 35.99
= (? )2 – 79.99
(a) 12
(b) 20
(c) 10
(d) 25
(e) 15
324.95 – [(11.99)2 – 74.9] = (? )2 – 67.99
(a) 22
(b) 18
(c) 28
(d) 38
(e)42
34.99 × 17.98 ÷ 6.97 – 72.93 = ? – 128.99
(a) 132
(b) 156
(c) 172
(d) 164
(e) 146
15.98 × 49.97 − 18.03 × 32.01 + (14.01)2 = ?
a) 400
b) 450
c) 350
d) 380
e) 420
13.99 ×? +695.01 = 36.03% of 2399.98 + 754.99
a) 72
b) 66
c) 75
d) 80
e) 62
17.99% of 199.98 + ?% of 600.01 = 39.99% of
750.01
a) 48
b) 44
c) 50
d) 30
e) 38
339.01 + 211.01 − 380.01 = ? − 320.01
a) 490
b) 440
c) 380
d) 520
e) 550
286.97 × 56.97 + 240.91 = √624.95 × ?
(a) 624
(b) 616
(c) 632
(d) 648
(e) 664
89.9% of 400.01 + 14.99% of 4800.01 – 676.99
=?
a) 413
b) 403
c) 419
d) 395
e) 389
49.99×? +12.01×44.99=759.99+2.99×60.01
a) 4
b) 8
c) 12
d) 16
e) 20
(2?)2+499.99% of 112.01 = 1239.99 - 8.01
×34.99
a) 18
b) 12
c) 15
d) 14
e) 10
1639.99 ÷ 41.01 +
a) 286
d) 296
of 19.92% of (109.99 – 9.99) = ?
?
3.99
% of 999.990 = 779.9909
b) 278
e) 306
c) 318
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
135
@Crossword2022
437.99
− 80.99 × (1.99)3 = (? )3
Q.89
771.999 +
Q.90
a) 8
b) 4
c) 6
d) 7
e) 5
28.01% of 224.99 + (9.01)2 = ?2
(a) 8
(b) 16
(c) 24
(d) 12
(e) 6
Q.91
Q.92
Q.93
Q.94
Q.95
Q.96
?
Q.98
Q.99
Q.102 36.02% of 1499.990 ÷ 18.01 = ? − 112.004
a) 64
b) 112
c) 188
d) 142
e) 228
Q.103
× 59.99% of 800.01 = 240.04
a) 40
d) 50
+ (14.01)2 = (15.01)2 − √124.99
1
Q.106
256.02
− 12.08 = √x
15.97
16.01
1088.02
(c) 121
Q.111
(c) 30
(c) 64
204.001
b) 20
e) 24
1
c) 16
1
Q.101 [(729.02)3 + (1024.01)2 ] = ?2 + 5.005
a) 12
d) 10
b) 5
e) 6
9.03
75.01
of
194.99
11.02
of
659.998
35.97
= ? − 64.02
84.01
?
4
+ 26.03% of 799.97 + √16.03 = (5.99)3
a) 42
b) 21
c) 12
d) 14
e) 4
Q.112 ? % of 549.99 + 20.03 % of 649.99 = 349.99
a) 36%
b) 24%
c) 20%
d) 30%
e) 40%
Q.113 5.03 ×(? +12.01)+29.99 % of 899.99= 359.99
a) 10
b) 8
c) 6
d) 4
e) 12
Q.114 36.01% of ? + (18.01)2 = 773.98
a) 1250
b) 1050
c) 750
d) 1750
e) 500
× 35.04 = 629.98 ÷ 648.01
a) 8
d) 12
=? − 147.02
b) 118
c) 103
e) 95
Q107 √1521.02 × 169.01 − (26.99)2 + 418.001
= (? )2
a) 8
b) 18
c) 11
d) 14
e) 19
Q.108 148.01 + 832.01 ÷ 64.01 − 97.03 = ?3
a) 4
b) 6
c) 5
d) 7
e) 3
Q.109 79.98% of 399.99 + ?% of 650.03 = 580.02
a) 50
b) 70
c) 30
d) 60
e) 40
3
Q.110 199.99 + 12.01% of 499.99 − √63.99 =?2
a) 12
b) 16
c) 14
d) 18
e) 8
(c) 83
(a) 16
(b) 81
(d) 64
(e) 4
2
(4.97) + x = √3025
(a) 36
(b) 39
(d) 24
(e) 29
48.98 + x − 32.11 = (8.93)2
(a) 59
(b) 52
(d) 67
(e) 73
2.01
a) 121
d) 111
67.98+x
= 137.95
3.99
(b) 98
(e) 92
c) 10
a) 316
b) 329
c) 372
d) 248
e) 296
Q.105 79.98% of 550.02 + 44.98% of 799.99 =?2×7.99
a) 16
b) 10
c) 15
d) 12
e) 21
?3 × 18.08 + √625.01 = 2274.98
(a) 15
(b) 25
(c) 35
(d) 5
(e) 45
x% of (800.1 − 419.8) + 13 = 260
(a) 50
(b) 95
(c) 90
(d) 65
(e) 80
97.97 +
b) 20
e) 30
Q.104 [(2196.99)3.03 ]
(a) 432
(b) 412
(c) 402
(d) 442
(e) 472
32.01 × ? + (18.01)2 = 80.01% of 1404.99
(a) 35
(b) 25
(c) 15
(d) 45
(e) None of these
56.01 % of ? + (11.99)2 = 68.01 % of 499.99
(a) 250
(b) 300
(c) 150
(d) 450
(e) 350
Q.100 ?
15.003
49.99− ?
3
18.01
(a) 89
(d) 106
Q.97
2.01
c) 8
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
136
@Crossword2022
(a) 26
(b) 29
(c) 33
(d) 36
(e) 40
Q.129 121.09 + ? = 96.02 % of 499.98
(a) 350
(b) 348
(c) 342
(d) 336
(e) 359
Q.130 29.92% of 180.01 + (17.06)² = ? % of 8574.90
(a) 2
(b) 6
(c) 10
(d) 4
(e) 8
Q. 131 (32.02)² = (?)3 – (14.89)² + 15.98 % of
1600.20 + 13.02% of 4999.99
(a) 7
(b) 15
(c) 4
(d) 12
(e) 9
Q.132 52.03 × 17.89 – √2303.98 = (29.99)? - 5%
of 239.987
(a) 3
(b) 2
(c) 4
(d) 0.5
(e) 1
Q.115 189.98 + 49.96% of 539.98 + ? = 630.03
a) 190
b) 170
c) 120
d) 240
e) 200
Q.116
276.02
12.03
×
79.99
115.01
×? = 31.99% of 199.98
a) 4
b) 16
c) 30
d) 8
e) 24
Q.117 (284.02+184.001÷3.997)÷(594.01÷9.02)= ?
a) 25
b) 15
c) 20
d) 5
e) 10
Q.118 684.03+2171.999÷5.98+49.98×5.02= ?2
a) 42
b) 36
c) 24
d) 26
e) 16
Q.119 (79.97% of 250.02) of 4.99 ÷ (4.97)2 = ?
a) 40
b) 70
c) 90
d) 60
e) 20
Q.120 66.01 + 39.97% of 475.01 = (?)²
a) 19
b) 17
c) 15
d) 14
e) 16
Q121. (√501.97 + 173.99) × 15.01 = ? + 219.99
a) 175
b) 170
c) 185
d) 180
e) 165
Q.133
479.99
?
a) 20
d) 36
= 12.98 × (1.99)5 – 44.99% of 840.1
(b) 9
(e) 12
(c) 18
Q.134 √831.01 − √2208.97 = √?+ √529.9
(a) 25
(b) 36
(c) 49
(d) 16
(e) 9
Q.135 23.82% of 549.89 + 89.98% of 909.9 = ?
+ 251
(a) 780
(b) 820
(c) 700
(d) 650
(e) 750
+ 24.9% of 500 − 89.99 = √3024
b) 22
e) 24
?
(a) 15
(d) 21
Q.122 (√224.99 − √81.01) × (√15.96 − √9.01) = ?
a) 6
b) 2
c) 4
d) 8
e) 10
Q.123
455.93
c) 30
Q.136 299.80 ×
?
8.82
+ 149.89 × 19.98 = 420.01 ×
29.98 + 350.21 × 40.01
(a) 708
(b) 908
(c) 882
(d) 742
(e) 812
Q.137 (?)²+89.98% of 1999.92+5.01×79.89
= 129.89×20.01
(a) 25
(b) 20
(c) 30
(d) 45
(e) 40
Q.138 1589.92 ÷ 2.892 + ? % of 139.89
= 179.82 × 8.08
(a) 750
(b) 830
(c) 800
(d) 610
(e) 650
Q.139 839.829 + 1259.925 – 119.98 × 19.89
= 749.89% of 1.892 - ?
(a) 450
(b) 545
(c) 425
(d) 315
(e) 310
Q.124 65.02% of 240.01 + √1935 = ?
a) 180
b) 200
c) 210
d) 215
e) 190
Q.125 342.09 + 575.98 − ? 2 = (12.09)2 − √99.95
(a) 28
(b) 24
(c) 16
(d) 32
(e) 36
Q.126 24.09 × ? + 11.98 % of 224.99 = (19.02)2 +
√676.09
(a) 5
(b)10
(c) 20
(d) 25
(e) 15
Q. 127 (12.01)3 + ?2 = 35.98 % of 5200.08
(a) 8
(b) 12
(c) 16
(d) 24
(e) 20
Q.128 472.09 + 548.09 − ?2 = (18.02)2 + √399.98
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
137
@Crossword2022
Q.140 15.02% of 99.99 + √143.98 + (3.01)2 = (? )2
a) 4
b) 6
c) 3
d) 8
e) 11
Q.141 29.98% of 1199.998 + (? )3 = (23.98)2
a) 3
b) 5
c) 2
d) 1
e) 6
Q.142
√59.9+(13.98)2
3.98
a) 24
d) 26
Q. 152 (21.87)² +12.493×19.89 – √15624.98 – (?)² of
3.96 = (14.96)²
(a) 4
(b) 6
(c) 12
(d) 8
(e) 10
Q.153
c) 20
1
Q.154
Q.143 [104.99 + 211.99 − 27.98]2 + (1.99)3 = (? )2
a) 2
b) 3
c) 4
d) 5
e) 6
Q.144 (58.86 + 85.86) ÷ 4.89 = (? )3 + (? ) − 1
a) 1
b) 2
c) 3
d) 4
e) 5
Q.145 31.67×?+22.122 = 174.75% of
240.03+56.09×7.99
a) 12
b) 44
c) 96
d) 150
e) 1
Q.146 ?2 = (540.09 × 179.98) ÷ (24.082 – 11.782) +
16.05% of 2500.01
A) 75
B) 52
C) 8
D) 25
E) 38
Q.147 {(
Q.155
Q.156
) × 839.890 – (4200.001 ÷ 34.900)} × 4.98
249.83+?
49.97
(c) 250
+ √323.898 + 53.89 +
108.11
5.99
(b) 12
(e) 18
×? + 216.05
(c) 15
3
√1330.99 + 43.98 − 14.95+? = 188.88
(a) 209
(b) 189
(c) 165
(d) 149
(e)139
(21.87)2 +448.98−32.80
(4.99)3 + 3√511.94−?
= 8.98
(a) 33
(b) 53
(c) 63
(d) 101
(e)163
Q.157 (45.75)2 + 1015.98 ÷ 3.95+? = (13.97)3
(a) 473
(b) 374
(c) 743
(d) 466
(e) 334
Q.158
78.78+87.87+788.87−877.78
= 12.91
?
(a) 9
(d) 15
(b) 2
(e) 6
(c) 18
3
Q.159 √728.88 + (? )3 − (4.87)2 = 41.91 + 5.88
(a) 5
(b) 7
(c) 6
(d) 4
(e)3
Q.160 119.79% of 119.89 + 70.12% of 79.73 = ?%
of 999.89
(a) 2.5
(b) 20
(c) 15
(d) 35
(e) 40
Q.161 1.823 + 5.126 × 7.01 – 432.001 = ? – 531.99
(a) 155
(b) 126
(c) 137
(d) 120
(e) 145
+416.99+(19.87)2
= (24.87) 2+ 20.09 ×9.98
(a) 154
(b) 150
(d) 162
(e) 156
302.12
(a) 10
(d) 13
= ? + 1599.899
A) 800
B) 420
C) 540
D) 360
E) 720
Q. 148 (155.34 + 234.78) ÷ 12.65 = ? ÷ 4.99
a) 150
b) 240
c) 470
d) 20
e) 680
Q.149 {44.78% of (11.67 × 54.78)}÷2.65=? + 19.25
A) 200
B) 120
C) 40
D) 80
E) 160
Q.150 ?% of 7999.97 + (41.07)2 – 29.98% of
4149.89=(25.91)2
(a) 5
(b) 3
(c) 2
(d) 4
(e) 1
Q.151
5435.99
35.98% of 1000 =
5.01
6.92
× √678 + 485 × 0.01 +
97.8 = 80% of ?
(a) 240
(b) 260
(d) 230
(e) 270
+ (? )2 = 199.99% of 289.99
b) 22
e) 28
9899
10.98 ×√9.03
Q.162 41.98 ×
(c) 158
(a) 177
(d) 205
22
7
+ 19.89% of 529.87 – 43.01 =?
(b) 185
(e) 195
(c) 212
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
138
@Crossword2022
Q. 163 (23.12 × 22.98) + 11.89 × 7.79 = ?²
(a) 20
(b) 25
(c) 31
(d) 22
(e) 30
Q.175 ?² + 190.98 – 19.01 × 6.97 = 316.99 × 1.99
(a) 14
(b) 19
(c) 24
(d) 26
(e) 16
1
Q.164 25% of 2000.32+2000.1% of 25–33 %
Q.176 768.06 ÷ 11.97 × √256.05 −58.05 = ?
(a) 1033
(b) 1175
(c) 966
(d) 880
(e) 975
3
99.9=?+50.1
(a) 917
(b) 906
(d) 920
(e) 927
(c) 910
Q.177 34.02% of 550.09 ÷ ? = 297.07 ÷ √728.95
(a) 14
(b) 21
(c) 8
(d) 27
(e) 17
Q. 178 (? ÷ 9.97) 12.08 = 20.12% of 1319.97
(a) 220
(b) 240
(c) 260
(d) 280
(e) 200
Q.165 √63.82 × 36.01+419.92÷5.84–540=? – 799.98
(a) 426
(b) 378
(d) 328
(e) 448
(c) 526
Q.166 15.812% of 1600.125 + ? % of 1199.98 =
19.88 × 121.98
(a) 182
(b) 142
(d) 286
(e) 216
Q.179 ? % of 179.99 =
(c) 326
√(24.02)2 + (17.98)2 + 60.01% of 659.98
Q. 167 (7.98)³+(14.88)²–(12. 01)² = ?– 1219.812 –
1749.98
(a) 3643
(b) 3425
(d) 3563
(e) 3521
(c) 3416
Q.168 19.825×√?=63.91% of 399.98+11.95% of 1200.01
(a) 300
(b) 500
(d) 350
(e) None of these
(c) 420
Q. 169 (?)² + 14.01% of 1599.98 = 59.01 × 12.025
(a) 18
(b) 28
(d) 36
(e) 32
(c) 22
Q.170 149.78% of 15.89+√255.81×3.95=?– 139.59
(a) 248
(b) 212
(d) 228
(e) 232
(c) 218
Q.171 ? + 1349.71 ÷ 2.99 – 124.82 = 120.03% of 1649.82
(a) 1655
(b) 1755
(c) 1720
(d) 1225
(e) 1680
Q. 172 (?)² + 180.21 × 4.9 + 64.8 × 3.8 = 2384.78
(a) 40
(b) 30
(d) 25
(e) 45
(c) 35
Q.173 ? % of 299.71=(21.03)²+(18.89)²+(6.03)3 + 2.01
(a) 225
(b) 280
(c) 250
(d) 325
(e) 340
Q.174 √?+789.81% of 119.79+199.81=2180.01–(31.81)²
(a) 100
(b) 121
(c) 64
(d) 144
(e) 81
(a) 80
(b) 60
(c) 40
(d) 20
(e) 10
Q.180 √(6.93)2 + (17.01)2 + (5.13)2 − 1.99 = ?
(a) 29
(b) 21
(c) 19
(d) 11
(e) 13
Q.181 15.98% of 350.11+46.01% of 4449.89–?=
1782.899
(a) 310
(b) 320
(c) 315
(d) 325
(e) 335
Q.182 8475.98 ÷ ? × 45.01 + 31.93 = 5899.892
(a) 65
(b) 75
(c) 55
(d) 60
(e) 51
Q.183 ?% of 539.932 – 78.13 = 14.99% of 920.011
(a) 50
(b) 45
(c) 30
(d) 40
(e) 35
Q. 184 (215.98)³ ÷ (36.01)² = (5.9)? × 36.01
(a) 1
(b) 5
(c) 2
(d) 7
(e) 3
Q.185 62.01% of ? + (24.04)2 = (30.99)2 − √169.01
(a) 660
(b) 600
(c) 640
(d) 720
(e) 780
Q. 186 (3.01)? × 4.01 + 36.01% of 2099.98 = (12.03)3
(a) 1
(b) 4
(c) 2
(d) 3
(e) 5
Q.187 1295.98 + 219.09 ×
(a) 5
(d) 9
7
?
(b) 6
(e) 3
= 138.99 × 13.02
(c) 8
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
139
@Crossword2022
Q.188 ?% of 1224.98 + 36.01 % of 2500.02
= (33.98)2 + 19.01% of 199.97
(a) 24
(b) 20
(c) 16
(d) 12
(e) 28
Q.189 37.09 % of ? + (10.99)² – 28.88 × 5.99 +
Q.198 √81.02 ÷ 8.76 ÷ 9.25 × 3.76 +
473.92
237.40
(b) 2600
(e) 2760
(c) 2750
1
1
Q.190 [(1763.97)2 + (2197.04)3 ] =
√(? ) 3 + 17.12 + 4.021 × 7.980
Q.201 (5.01)? + (14.98)2 = 169.98% of 500.2
(a) 4
(b) 3
(c) 2
(d) 5
(e) 6
(a) 15
(b) 8
(c) 12
(d) 5
(e) 10
Q.191 34.971% 𝑜𝑓 80.13 × 20.03% 𝑜𝑓 250.01 −
423.87 = ? + 51.991 × 8.13
(a) 580
(b) 550
(c) 570
(d) 560
(e) 590
Q.192 45.0112 ÷ 64.992 × 312.211 + 361.11 = ? ² +
3
Q.202 28.09% of ? + (12.09)2 = √1331.01 +
29.99% of 530.04 + (9.99)2
(a) 425
(b) 400
(d) 450
(e) 480
11.09 × 32.13
(a) 15
(b) 45
(c) 35
(d) 55
(e) 25
Q.193 ? % 𝑜𝑓 (1131.145 − 501.923 −
6450.01
42.91
Q.204 42.01% of 799.99 +
25 % 𝑜𝑓 295.7×32.02
?
(a) 2
(d) 8
=
)
36.99
25% 𝑜𝑓
1
4
(b) 4
(e) 1
(c) 6
√404.99×315.01×245.40
1
3
=?
√33 % 𝑜𝑓 26.99
(a)100
(d) 115
(b) 105
(e) 95
Q.197 19.66% 𝑜𝑓 144.87 −
(a) 5
(d) 3
266.47
118.84
(b) 7
(e) 6
(c) 110
×
17
18.84
?
= (18.98)2
(c) 50
(c) 28
(c) 2919
Q.207 √780 + √1442 − √290 = ?
(a) 74
(b) 69
(c) 64
(d) 49
(e )34
Q.208 1926.98 ÷ 47.07 × 41.03 = ? + 27.05
(a) 1639
(b) 1549
(c) 1654
(d) 1579
(e) 1699
Q.209 31.05 × 27.05 − 26.99 = ? × 30.06
(a) 10
(b) 25
(c) 31
(d) 27
(e) 30
3
Q.196
725.01
(a) 27
(b) 25
(d) 75
(e) 29
2
Q. 205 (24.02) - 16.07 = ? × 19.95
a) -47
b) -62
d) -107
e) 73
Q.206 15.052 + 47.052 + 24.972 = ?
(a) 3239
(b) 3099
(d) 2879
(e) 3059
= 35.79 × 41.12 ÷ 369.03
(a) 647
(b) 537
(c) 679
(d) 511
(e) None of the above.
Q.195
(c) 360
Q.203 510.99 + (? )2 = (28.01)2 + √256.01
(a) 18
(b) 19
(c) 17
(d) 16
(e) 15
241.02 − 187.79) = 59.99456
(a) 30
(b) 50
(c) 40
(d) 60
(e) 70
Q.194 (? − 554.09) − 50.045% of (
×
1
2
(a) 100
(b) 400
(c) 256
(d) 169
(e) 196
Q.199 6739 + 161 × 4.966 − 74.99 × 11.888 +
20%𝑜𝑓121 − 10%𝑜𝑓109 =?
(a) 6657
(b) 7067
(c) 7167
(d) 6587
(e) 6757
Q.200 ? % of 625.03 + 20.08% of 954.98 = (20.99)2
(a) 35
(b) 30
(c) 48
(d) 40
(e) 50
√224.98 = (31.01)²
(a) 2650
(d) 2700
+ 7.91 =?
181
91.10
=?3
(c) 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
140
@Crossword2022
Q210. 11.02 × 8.98 +
(a) 1071
(d) 1161
Q.211 √960.9 +
251.9
√143.9
69.87
(c) 1181
+? % 𝑜𝑓 350.1 = (1.99)2 × 69.01
(b) 32
(e) 86
419.97
(c) Multiple of 7
(d) Both A & B
(e) None of the above
Q.222 √23408.98 % of 799.93 – 624.001
+ (30.95)2 =?
(b) 1041
(e) 1211
(a) 58
(d) 74
Q.212 77.2 ×
1331.01
√120.95
(c) 64
+ 499.9 – 10.98 % 𝑜𝑓 599.99
=? % 𝑜𝑓 5600.01
(a) 20
(b) 25
(d) 10
(e) 30
(c) 16
Q.213 √2499.89 × √625.02 ÷ √99.99 =? % of 2500.01
(a) 5
(b) 10
(c) 12.5
(d) 2
(e) 8
Q.214 2950.01 ÷ 59.06 = ? + 28.03
(a)15
(b)25
(c)14
(d)30
(e)22
3
3
3
Q.215 √2743.69 − √10649.11 + √1727.63 = ?
(a) 18
(b) 53
(c) 4
(d) -38
(e) -17
Q. 216 (10.97)2 + (27.99)2 - (31.96)2 = ?
(a) -119
(b) -136
(c) -107
(d) -99
(e) -110
Q.217 11.93 × 18.95 − 2.99 = ? × 14.94
(a) 8
(b) 16
(c) 26
(d) 19
(e) 15
Q.218 39.998% of 440.005 +? % of 654.889 = 229.81
(a) Multiple of 2
(b) Multiple of 3
(c) Multiple of 4
(d) Both A & C
(e) All of the above
Q.219 40.012% of 599.87 – 250.17 =? – 79.88% of
900.11
(a) Multiple of 5
(b) Multiple of 4
(c) Multiple of 9
(d) Both A & C
(e) None of the above
Q.220 324.996 × 15.98 ÷ 4.004 + 36.876 = ? % of
6699.98
(a) Multiple of 5
(b) Multiple of 4
(c) Multiple of 10 (d) Both A & C
(e) All of the above
Q.221 63.8% of 8899.78 + ? % of 5300.11 = 6849.889
(a) Multiple of 2
(b) Multiple of 11
2
= √? × 23.95 + (12. 011)
(a) 225
(b) 361
(c) 289
(d) 324
(e) 441
Q.223 363.72–269.21+49.987 of 11.89÷(19.9% of
80.1) = ?
(a) Multiple of 7
(b) Multiple of 14
(c) Multiple of 19
(d) Both A & C
(e) None of the above
Q.224 {18.99² – 27.05² + (1399.95 + 59.85)} ÷ ? = 39
(a) Multiple of 7
(b) Multiple of 4
(c) Multiple of 9
(d) Both A & B
(e) None of the above
Q. 225 (21.97% of 899.5) + ? + (39.77% of 309.76)
=481
(a) Multiple of 7
(b) Multiple of 3
(c) Multiple of 4
(d) Multiple of 5
(e) None of the above
Q.226 9.89% of 650.11+32.1× 2799 ÷ 399.8 –?= 155
(a) Prime No. (b) Multiple of 3
(c) Multiple of 7 (d) Multiple of 6
(e) None of the Above
Q.227 ?2 + 114.09 − 24.06 × 4.98 = 163.19
(a) Prime No. (b) Multiple of 3
(c) Multiple of 7 (d) Multiple of 13
(e) Both A & D
Q.228 219.89% of 380.13+(35.96)² – ? % of 399.89
= (23.89)²
(a) 302
(b) 284
(c) 342
(d) 389
(e) 430
Q. 229 (39.22)² = ? + (29.98)² – (15.89)² + 55.98
% of 1399.89
(a) 72
(b) 112
(c) 63
(d) 97
(e) 93
Q.230 (31.87)² + 12.093 × 15.89 – √2115.98 – (?)²
= (32.87)² - 39.89
(a) 7
(b) 11
(c) 15
(d) 19
(e) 21
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
141
@Crossword2022
Q.231
479.93
?
Q243. 49.99% of 1260 + 60.99% of 100 +? +
39.99% of 450.15
(a) 1021
(b) 1221
(c) 1121
(d) 1100
(e) 1141
= (8.99)3 – 14.98 × 39.89 – 9.89% of 990
(a) 16
(d) 25
(b) 9
(e) 12
(c) 19
Q.232 √429.87 + 520.13 + √120.97 = (? )2 + √35.98
(a) 2
(b) 3
(c) 8
(d) 5
(e) 9
Q. 233 (17.291) × (18.717) + (25.99)² = (? )³ –
1.005
(a) 18
(b) 10
(c) 12
(d) 8
(e) 15
1
Q.244 112.01% of 249.98 + (
(a) 450
(d) 294
Q.245
1
Q.235
?−4.981
14.99−?
(b) 8
(e) 20
Q.236
19.8% 𝑜𝑓 624
29.7% 𝑜𝑓 570
(a) 11
(d) 15
(c) 16
(c) 15
(b) 17
(e) 19
Q.247
(c) 13
(b) 120
(e) 240
593.93
114.94
×
2299
263.98
(a) 1
(b) 2
(c) 3
(d) 4
(e) 5
Q.239 19.99% 𝑜𝑓 (40.01 × √? ) = (31.99)2 + (16.01)²
(a) 160
(b) 2560
(c) 16
(d) 25600
(e) 256
Q.240 ? +13.02×49.98 = 420.05+ 44.98% of 799 +
220.10
(a) 300
(b) 350
(c) 400
(d) 450
(e) 250
Q.241 139.98% of 349.99 = ?2 – (14.98)3 ÷ 24.98
(a) 40
(b) 20
(c) 25
(d) 30
(e) 45
12.98
(b) 246
(e) 306
(c) 452
+
(b) 212
(e) 182
(3.02)2
4 −2
572.89+?
15.89
+ 37.87% 𝑜𝑓 449.93 − (10.8)2
= (9.9)2
(a) 207
(d) 267
(b) 197
(e) 227
(c) 247
Q.248 47.87% of ? + √2303.9 = 17.87 × 14.9 +
24.93% of 359.9
(a) 650
(b) 450
(c) 600
(d) 615
(e) 575
(c) 150
Q.238 ? × 40.01 ÷ 24.02 × 27.05 =
(a) 234
(d) 196
?
= (19.99)2 − (3.99)2 ×
√120.98–(2.98)2
(5.01)2
Q246. 37.83 × 15.13 + √215.87 = ? % of 399.9 +
(17.88)2
(a) 73
(b) 56
(c) 91
(d) 63
(e) 85
× 342.11 = ?2 − 12.79 × 2.91
350.98
(c) 376
3
(b) 12
(e) 18
Q.242 √88.01 × 21.99 +
)+
+ 113.01
Q.237 79.98% 𝑜𝑓 ? = √249.98 × 44.04 + 40% 𝑜𝑓 8499
(a) 80
(d) 180
(b) 125
(e) 196
(a) 226
(d) 286
× 39.9% of 649 = 65
(a) 10
(d) 7
23 ×3
1
=?
22 ×6−2
Q.234 [(511.9)3 + (728.89)3 ] = √(? )2 + 24.991 + 3.845
(a) 10
(d) 12
(13.98)2 −19×3.97
3
3
Q.249 ( √6858.9 × √4095.98) ÷ √63.98 = (? )2 + √3.8
(a) 4
(d) 18
Q.250
(b) 11
(e) 6
13.87
+2.11
17.11
2.89
11.84−50.89×
16.79
55.88−33.85×
(c) 15
=
80.11
?
(a) 1
(b) 5
(c) 8
(d) 15
(e) 7
Q.251 28.11% of ? = 41.82% of ? – 684.85 + 180.86
(a) 3500
(b) 3700
(c) 4200
(d) 3600
(e) 3900
Q.252 103 × 721 [34.81% × 80.14% × 40% −
34.89% × 19.9% × 30%] =?
(a) 65611
(b) 65000
(c) 66000
(d) 65714
(e) 67000
1
=? +(243.01)5
(c) 256
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
142
@Crossword2022
Q.253
2.99
3
× √511.99 + 123.9% of 650.11 = ?
3.99
(a) 850
(b) 792
(c) 812
(d) 841
(e) 750
Q.254 87.08 +913.99 – 260.13% of 129.88 = 74.98% of ?
(a) 663
(b) 552
(c) 672
(d) 221
(e) 884
Q.255 ?% of 1049.87+74.99% of 420.12=750.11% of 70
(a) 15
(b) 20
(c) 10
(d) 35
(e) 25
Q.265 1332.89 + 171.928 + 17.01 + ?² = 1690.87
(a) 27
(b) 17
(c) 9
(d) 13
(e) 19
Q.266 150.09% of 20 +
1
11 % 𝑜𝑓 998.9 = ?
9
(a) 17
(d) -16
Q.257 59.99 × 288.02 ÷ 14.98 ÷ 17.94 =
(?)2
6
(a) 51
(b) 38
(c) 41
(d) 45
(e) 48
Q.258 22 × (3)? × (5.989)2 = (11.979)2 × 8.917
(a) 8
(b) 2
(c) 16
(d) 32
(e) 12
Q.259 12.5% of 511.8 + 37.5% of 95.8+3.03×6.99 = (?)²
(a) 21
(b) 121
(c) 28
(d) 11
(e) 32
1
Q.260 [(64.01)4 ]12 × 15.99 + 31.95 × 7.98 = ?× 7.96
(a) 25
(b) 56
(c) 40
(d) 64
(e) 320
Q.262
15.95×7.999
(a) 5
(d) 7
(a) 1
(d) 12
(a) 441
(d) 121
61
21.02
727.11+?
14.98
3
+ √1727.83 – 59.89 = √1023.89
(a) 593
(b) 473
(c) 373
(d) 273
(e) 673
Q.271 √? + (16.89)² – 24.93% of 47.89 = 49.97 × 5.93
(a) 169
(b) 1089
(c) 729
(d) 625
(e) 529
3
(b) 10
(e) 8
(c) 14
1
1
= [(343.11)2 ]6 × 49.02
(a) 48
(b) 57
(c) 69
(d) 39
(e) 18
Q.274 59.8% of 1539.5+37.5% of 95.78+0.99= (?)²
(a) 28
(b) 31
(c) 26
(d) 25
(e) 35
Q.275 66.98 + (9.084)1/2 + ? = 52.114 + (8.041)²
(a) 41
(b) 26
(c) 46
(d) 56
(e) 36
(c) 8
√48.97×13.05
= 4.97 ×? ³
90.98
(c) 5
×? = 47.96√?
(b) 169
(e) 324
Q.270
Q.273 (1330.57)3 × (11.79) + 62.5% 𝑜𝑓 399.671 − ?
(2.01)2
(b) 17
(e) 8
= 124.93% of 2399.57
(a) 2928
(b) 2828
(c) 2728
(d) 2628
(e) 3028
Q.269 578.87 + 330.93 + 29.93% of ? = 40.05% of
2799.87
(a) 775
(b) 500
(c) 600
(d) 700
(e) 825
= √224.97
(a) 4
(d) 18
(2.99)3 ×7.97
(b) 4
(e) 6
Q.263 23.99 × 26.003 +
Q.264 109.07√?−
=
7.86
3
Q261 (3374.81) × √21.11 + 14.99 × 11.01 =
(? )2 + 28.91
(a) 31
(b) 21
(c) 35
(d) 26
(e) 16
1
272.12+?
(c) 8
Q.272 [ √728.89 + √1295.97 + √3374.83 ] ÷ ?
1
3
3.992 ×(143.56)2 ×(?)2
(b) -13
(e) 22
Q.268 424.97×8.02 –
(c) 312
+ √? = (8.96)²
(a) 984
(b) 1024
(c) 1360
(d) 1225
(e) 674
Q.267 56.08% of 149.92 + √28.02 × 6.98 −
Q.256 √324.11 × √19.98 × 49.99 × 8.01 × 20.01 +
25.17% 𝑜𝑓 31.9 =?
(a) 368
(b) 455
(d) 244
(e) 632
322.9
17.02
Q.276 16.004√?+ 68.899√?− 10.001 √? =
(c) 250
(a) 1225
(d) 729
(b) 961
(e) 1156
75.11
33.99
(c) 1024
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
143
× (? )
@Crossword2022
1
Q.277 [(25.35)9 ]6 + 22% 𝑜𝑓 449 = ? + (2.99 × 2.01)2.99
(a) 8
(b) 32
(c) 15
(d) 20
(e) 12
Q.278 ? % of 224.99 + 19.01 % of 699.98 =
(15.99)2 – 30.01% 𝑜𝑓 289.99
(a) 18
(b) 16
(c) 12
(d) 10
(e) 8
Q.279 ?3 + (18.01)2 = 59.99% of 899.93
(a) 5
(b) 4
(c) 2
(d) 6
(e) 3
Q.280
87.01 ×7.98
?
+ 7.99% of 1149.98 = (18.01)2
(a) 3
(b) 27
(c) 12
(d) 6
(e) 9
Q.281 (2)? % of 499.99 + √1296.01 = (13.98)2
(a) 4
(b) 2
(c) 5
(d) 6
(e) 3
Q.282 ?2 + 439.08–40.011% of 899.99 = 7.99% of
2500.008
(a) 9
(b) 11
(c) 16
(d) 13
(e) 12
3
Q283 14.11 ÷ 98.91 × ( √728.96 × √120.86) +
(14.93)2 = ?
(a) 290
(d) 280
Q284.
753+?
17.93
(b) 239
(e) 221
Q.294 4.98
(21.93)2
(a) 105
(d) 185
Q.288 43.495 ×
a) 4
d) 1
?
64.02
31.99
×
1
28.979
(c) 207
8.99
2
− 6.89
0.98
2.02
1
−
9
(a) 9
(b) 9
3
4
1
(c) 9
2
1.1
1.98
2
3
(e) 10
4
Q.295 √1295.98 + (2744.011)2,98 = ?2 − √960.998
(a) 11
(b) 27
(c) 6
(d) 81
(e) 9
Q.296 62.987% of 449.89 + 81.0123% of 149.890
= ?% of 675
(a) 80
(b) 45
(c) 50
(d) 60
(e) 70
Q.297 204.98 × ? × 12.890 = 33625.011 +
25005.0211
(a) 18
(b) 21
(c) 22
(d) 24
(e) 27
Q.298
3.0123
8.0111
4
9.121
7
11.11
of of
of 4312.021 = ? × √48.897
(a) 108
(b) 96
(c) 98
(d) 104
(e) 112
Q.299 119.83% of 1249.93 + ? % of 624.89 = 3374.92
(a) 300
(b) 350
(c) 400
(d) 425
(e) 250
Q.300 20.02×32.92 + √63.86 × 9.89 = 20.01 × √?
(a) 1469
(b) 1423
(c) 1253
(d) 1369
(e) 1163
(c) 145
− 2.012 = ?
b) 12
e) 8
4.03
1.1
+ 14.83% 𝑜𝑓 299.87 =
(b) 125
(e) 165
+ 3.012
4
(d) 9
(a) 217
(b) 197
(c) 227
(d) 187
(e) 147
Q.285 (376.89+538.89 – 39.83)+?% of 799.89=(29.8)²
(a) 9
(b) 3
(c) 12
(d) 7
(e) 11
Q.286 37.12% of 6599.87 + (12.96)² – ? =(49.92)2
(a) 161
(b) 181
(c) 131
(d) 111
(e) 91
14.98
1.1
3.001
1
2.12 = ? − 16.02 + 10.95 − 5.011
+ 20.86% 𝑜𝑓 4199.87 + √840.76 = (30.89)2
Q287 18.12 × 24.79 –
Q289. 66.66 % 249.05 + 3.9 ×6.1 = ? +49.99% of
299.99
(a) 1200
(b) 1600
(c) 6400
(d) 40
(e) 2500
Q. 290 (33.33×80.989÷99.99)+3.024-?=4.012
(a) 20
(b) 26
(c) 34
(d) 16
(e) 40
Q.291 20.021 + 4.969 + 30.499 − 50.022 =?
(a) 5.5
(b) 2
(c) 8.5
(d) 12.5
(e) 14
Q.292 995.013-39.976×19.99+5.022=1.988×?
(a) 115
(b) 85
c) 100
(d) 125
(e) 75
Q.293 (10.011)2 + (23.989)2 = 275.99 + (? )2
a) 34
b) 6
c) 28
d) 12
e) 20
c) 6
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
144
@Crossword2022
Q.301 2898.98 ÷ 289.92 + 19.98 + (?)² = 93.98
(a) 12
(b) 6
(c) 8
(d) 14
(e) 10
Q.302 29.8% of 701 – 350.01 + 82% of 501 = ?
(a) 230
(b) 330
(c) 370
(d) 270
(e) 210
Q.303 1519.98 + 179.7 × 20.01 + ? = (1.99)9 × 9.8
(a) 10
(b) 5
(c) 15
(d) 20
(e) 0
Q.304 33.989 ×
4.01
17.02
×
1
3.99
Q314 44.04 ÷ 3.97 × 7.49 ÷ 2.54 + 3 = √?
a) 6
b) 36
c) 24
d) 1296
e) 216
Q.315 √37.54% 𝑜𝑓 400.08 + 75.07% 𝑜𝑓 59.92 = ?
a) 7
d) 98
2
− 2.012 = ?
a) 256
d) 1024
1
+ 389.97 + 19.98% of 724.89=
24.98% of 2203.89
a) 206
b) 216
c) 226
d) 236
e) 246
3
Q.311 ? % of 749.89 + √728.89 = 26.89% of 499.87 +
29.89% of 349.89 + √80.87
a) 38
b) 32
c) 40
d) 42
e) 28
Q.312 (11.87)2 + 12.493 × 15.89 − √13224.98 −
(? )2 = (14.96)2
a) 9
b) 2
c) 8
d) 5
e) 10
Q.313
359.93
?
a) 8
d) 9
= (8.89)3 − 14.5 × 39.89 + (1.95)2 − 34
b) 2
e) 5
c) 512
1
3
a) 15
b) 13
c) 5
d) 9
e) 18
Q.306 119.022 + 40.99 + 9.03 = ?2
a) 13
b) 17
c) 11
d) 15
e) 19
Q.307 58.99 + 52.11 − 47.94 + ? = 85.96
a) 27
b) 19
c) 23
d) 15
e) 30
Q.308 (14.96)2 + (5.011)3 + 50.02 = ?2
a) 28
b) 16
c) 25
d) 12
e) 20
Q.309 624.89 + (31.89)2 − 49.01 = (? )2
a) 35
b) 40
c) 36
d) 44
e) 46
24.98
b) 128
e) 1296
Q.317 (4913.09)3 + 6.06 × 5.98 − 33 % of 9.01 =
7.99
163.98+?
c) 49
Q.316 (√? )3 + (2.01)10 + (4.99)3 = 1156.92
a) 0
b) 3
c) 5
d) 4
e) 8
1
Q.305 (11.01 + 12.97) ×
+ 5.956 = 18 − ?
Q.310
b) 14
e) 196
c) 3
24.99% of 25.01% of ?
a) 1040
b) 1600
c) 400
d) 800
e) 1200
Q.318 (9.01)3 + (7.94)3 + 5.12 × 17.95 =?3
a) 11
b) 15
c) 13
d) 10
e) 14
Q.319 ? % of 299.99 + 54.95% of 239.94 = 18.99% of
899.99
(a) 17
(b) 19
(c) 23
(d) 29
(e) 13
Q.320 818.88÷62.93+18.9×21.9= 34.95×19.92 - ?
(a) 329
(b) 269
(c) 215
(d) 278
(e) 302
Q.321 2.99 × (9.99 + 4.95) + (48.04/5.99)/3.94 –
6.97 = ?
(a) 30
(b) 25
(c) 40
(d) 22
(e) 16
Q.322 5.94 + 1/12.93 of {2599.96 ÷(117.98 –
107.98)} = ?
(a) 32
(b) 26
(c) 36
(d) 42
(e) 46
Q. 323 [(22.9 × 1.922 × 23.92 )] ÷ (2.02 ×
√1295.96) = (2.93)? + 6.97
(a) 8
(b) 12
(c) 4
(d) 6
(e) 14
Q.324 52.034 + 617.121 + 32.004 = ? + 576.71 +
68.284
(a) 56
(b) 51
(c) 48
(d) 66
(e) 62
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
145
@Crossword2022
Q.337 (25.98)2 + 10.883 − √48 = 2.1 × ?3
a) 8
b) 10
c) 12
d) 5
d) None of these
Q. 325 (50.001% of
2
51800.10)÷?=(160% of 10.01) ×2.01
(a) 40
(b) 50
(c) 75
(d) 80
(e) 65
Q.326 23.87 + 24.29 – 12.038 = 34.31 × 4.18 - ?2
(a) 100
(b) 5
(c) 10
(d) 20
(e) 15
Q. 327 (63.95 + ?) ÷ 25.02 + 390.09 + 19.97% of
724.87 = 540.07
(a) 50
(b) 25
(c) 61
(d) 72
(e) 47
Q.328 14.99% of 115.95 × 18.892% of 179.77 = (?) –
372
(a) 904
(b) 1964
(c) 4064
(d) 2984
(e) 1864
Q.329 41.979 ×
22
7
1
Q338. √
24.99% 𝑜𝑓 319.99 + 33 % 𝑜𝑓 167.99
1
3
800
2
3
−37 % 𝑜𝑓
=?
(a) 8
(b) 5
(c) 4
(d) 6
(e) 36
Q.339 64.9% of 1200.11 – 15.11% of 400.09
= ?3 × 44.9% of 199.9
a) 4
b) 1
c) 3
d) 2
e) None of these
Q.340 35.21% of 5000.11 – (31.98)2 + 3.12 = ?
a) 825
B) 569
c) 729
d) 689
E) None of these
Q.341 19.87% of 5000.11 – 24.98% of 3000.11
= ? × (4.9)2
a) 10
b) 15
c) 8
d) 16
e) None of these
Q.342 16.11 × 14.78 – 240.21 – 32.02 × 9.99 +
419.99 = ?2
a) 10
b) 15
c) 5
d) 12
e) None of these
Q.343 64.8% of 199.99 – 25.88% of 499.99 = ?
a) 5
b) 8
c) 4
d) 10
e) None of these
Q.344 45.012% of 1499.98 – 2.11 × 52 = ?2
a) 25
b) 35
c) 15
d) 20
e) None of these
Q. 345 (32.12 × 24.98) – (19.876)2 = 20.11% of ?
a) 1000
b) 3200
c) 2000
d) 2500
e) None of these
Q.346 21.88% of 5000.001 + 14.21% of 399.78 = ?2
a) 26
b) 14
c) 24
d) 36
e) None of these
+ 19.989% of 530.014-26.021= ?
a) 244
b) 198
c) 236
d) 212
e) 252
Q.330 (23.012 × 22.989) + 20.985 × 7.014 = ?2
a) 8
b) 38
c) 26
d) 12
e) 44
Q.331 √1443.979 ÷ 18.981 + 3.2 × √16.017 = (? )
a) 16
b) 30
c) 8
d) 26
e) 10
Q.332 779.98÷ 48.014 × 15.989 = ?
a) 280
b) 248
c) 275
d) 242
e) 260
Q.333 1485.988 + 212.04 − 1703.99 = ? −(11.02)2
a) 95
b) 115
c) 130
d) 102
e) 135
Q.334 737.11×2.9+362.90×2.01+10.98 × 32.9 = ?
× 11.11
a) 120
b) 300
c) 240
d) 280
e) None of these
Q.335 ? × 31.98 – 25.11% of (480.01 × 127.89) = 0
a) 80
b) 240
c) 64
d) 480
e) None of these
Q.336 (8.91)3 × (8910.11 ÷ 109.89) = (14580.11
÷ 19.89) × ?
a) 27
b) 42
c) 81
d) 729
e) None of these
Q.347 73 – (13.11)2 – ? = 25.11% of 120.021
a) 216
b) 144
c) 156
d) 246
e) None of these
Q.348 79.86% of 2500.11 - ?% of 2499 = (9.8)3
a) 20
b) 60
c) 30
d) 40
e) None of these
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
146
@Crossword2022
Q363. 54001 ÷ 60.14 × 29.96 = ? × 40.07
(a) 700
(b) 675
(c) 500
(d) 550
(e) 680
Q364. 449.98 ÷ 5.99 + (2.99)4 − 74.97 =?
(a) 71
(b) 81
(c) 86
(d) 75
(e) 91
3
Q365. √1728 × 861.08 ÷ 83.98 − 57.98 =?
(a) 55
(b) 52
(c) 65
(d) 61
(e) 59
Q366. 69.98% of 259.98 – 29.98% of 529.98 =?
(a) 19
(b) 23
(c) 20
(d) 27
(e) 18
Q.349 41.97 × 5.12 ÷ 2.99 + 49.89 = ?× 1.99
A) 120
B) 80
C) 15
D) 40
E) 60
Q.350 18.003×3.99×(135.003÷26.97)–(15.001 ×
3.94) = ?
A) 300
B) 360
C) 420
D) 250
E) 460
Q.351 30.01 × √1023 + 196 = ?2 – 287
A) 15
B) 38
C) 24
D) 48
E) 30
Q.352 35.1% of 1599 = ?–(449.96 ÷ 6.12)
A) 960
B) 840
C) 500
D) 700
E) 610
Q.353 16.12 × 15.94 + 654.92 – 344.83 = ?× 5.95
A) 12
B) 60
C) 90
D) 145
E) 200
Q354. 21 + 4.9 × 7.9 + 9.88 = ?
(a) 65
(b) 71
(c) 66
(d) 75
(e) 81
Q355. 138% of 3781 + 38.74% of 141 = ?
(a) 5288
(b) 5248
(c) 5271
(d) 5444
(e) 6444
Q356. (340 × 9.98) ÷ 6.4001 + 1245.15 = ?
(a) 1766
(b) 1776
(c) 1676
(d) 1876
(e) 1806
Q357. 31.952 – 12.052 + (1987.25 + 21.85) ÷ ? = 900
(a) 115
(b) 120
(c) 90
(d) 85
(e) 100
Q367.
24.17 2
1
4.07
4.95
) ×
×
399.86
39.94
÷
40.13
899.79
4
of 1330.98 ÷ √483.97 + √1296.01 =?
(a) 23
(d) 24
Q368.
Q358. 1576 ÷ 45.02 + 23.99 × √255.96 = ?
(a) 340
(b) 420
(c) 380
(d) 460
(e) 360
Q359. (
4
11
=?
(a) 1620
(b) 1680
(c) 1700
(d) 1550
(e) 1750
Q360. 67.99% 𝑜𝑓 1401 − 13.99% 𝑜𝑓 1299 = ?
(a) 700
(b) 720
(c) 770
(d) 800
(e) 740
Q361. 5466.97 − 3245.01 + 1122.99 = ? +2309.99
(a) 1130
(b) 1000
(c) 1100
(d) 1035
(e) 1060
Q362. 40.1% of 601 − 250.17 = ? −35.15% of 2000.09
(a) 800
(b) 500
(c) 690
(d) 760
(e) 550
23
349
(b) 19
(e) 35
4
19
5
35
÷ ÷
(c) 28
+ 499 =?
(a) 489
(b) 476
(c) 550
(d) 525
(e) 500
Q369. 12.994 × 22.009 × 17.982 =?
(a) 5,100
(b) 5,200
(c) 5,148
(d) 5,199
(e) 5,348
Q370. 18% of 602 + 27.8% of 450 =?
(a) 234
(b) 260
(c) 225
(d) 220
(e) 250
Q371. 479.7 × 26.12 ÷ 38.99 + ? = 25 + 54
(a) 373
(b) 337
(c) 411
(d) 437
(e) 397
Q372. 3194 ÷ 7.85 + 74.85% of 798 =?
(a) 1050
(b) 975
(c) 950
(d) 1000
(e) 1100
Q373. (27.97) ² – (21.92) ² + (2345.88 +
154.14) ÷ ? = 350
(a) 36
(b) 45
(c) 50
(d) 65
(e) 55
1
Q374. (36.01)3 × (4096)2 × (37.99)2 ÷ (93 ×
75.982 ) = 4?
(a) 7
(b) 3
(c) 5
(d) 8
(e) 7
Q375. 18% of 256 + 35% of 290 – 15% of 385 =?
(a) 83
(b) 80
(c) 90
(d) 70
(e) 85
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
147
@Crossword2022
Q389. 1884.88 ÷ 144.89 + 6.99 + (? )2 = 69.09
(a) 4
(b) 9
(c) 6
(d) 7
(e) 8
Q390. √12000 × 34.98 + 150.04 =?
(a) 3000
(b) 4700
(c) 4000
(d) 3500
(e) 5600
Q391. 0.2% of 356 × 0.8% of 779 =?
(a) 4
(b) 1
(c) 9
(d) 8
(e) 12
Q392. 63.9% of 8920.2 +? % of 5320.3 = 6830.162
(a) 36
(b) 21
(c) 17
(d) 31
(e) 9
5
7
Q393.
of 4011.83 + of 3410.12 =?
Q376. 69.008% of 699.998+32.99% of 399.999= ?
(a) 615
(b) 645
(c) 675
(d) 715
(e) 725
Q377. 29.97% of 781 + 43% of 801 = 528 + ?
(a) 100
(b) 30
(c) 70
(d) 80
(e) 50
Q378. 39.98% of 449.99 = √? + 49.98% × 329.97
(a) 64
(b) 100
(c) 225
(d) 441
(e) 625
1
1
1
Q379. (960.89)2 × (2743.8)3 + 12.991 × (35.81)2
(? )3
=
+ (15.99)2
2
(a) 5
(b) 11
(c) 8
(d) 3
(e) 4
Q380. 712.815 + 87.11 + 25.921 × 39.89 = 23.11 ×?
(a) 75
(b) 66
(c) 45
(d) 50
(e) 80
Q381.
8
12.141×11.11
?2 −(3.11)2 ×52.85
=
3.21
10.79
(a) 31
(d) 35
(b) 25
(e) 21
3
(c) 18
Q396.
1
Q382. (12.95+ ? )(? −13.21) = 15.31 × (511.91)3
(a) 23
(b) 21
(c) 17
(d) 13
(e) 25
Q383. (
511.91×255.89 2
7.99×32.11
) =
10
(a) 4810
(b) 4980
(c) 4890
(d) 4930
(e) 4850
Q394. 5144.98 + 3449.95 – 4559.98 =?
(a) 4035
(b) 4050
(c) 4135
(d) 5200
(e) 4345
2
Q395. 49.98% of ? – of 243.02 = 49.94
Q397.
(63.99)?
(a) 3
(b) 6
(c) 7
(d) 9
(e) 2
Q384. 25.05% of 2844.01 + 14.95 × 2400 =?
(a) 36,710
(b) 36,510
(c) 35,810
(d) 35,610
(e) 36,210
Q385. 1080.18 ÷ 36 + 187 × 20.05 =?
(a) 3650
(b) 3770
(c) 3825
(d) 3800
(e) 3700
Q386. 125% of 4875 + 88.005 × 14.995 =?
(a) 7395
(b) 7490
(c) 7510
(d) 7375
(e) 7415
Q387. 39.05 × 14.95 – 27.99 × 10.12 = (36 +?) × 5
(a) 22
(b) 29
(c) 34
(d) 32
(e) 25
Q388. 158.004×4.06+20.12% of 849.86+? = 950.93
(a) 350
(b) 480
(c) 280
(d) 250
(e) 150
Q398.
Q399.
Q400.
(a) 436
(b) 424
(c) 450
(d) 474
(e) 502
1.007 + 2.0008 + 30.09 ÷ 10 – 5.99 = ?
(a) 1
(b) 12
(c) 3
(d) 2
(e) 0
44.95% of 599.98 + 34.98% of 299.98 = ?
(a) 295
(b) 425
(c) 395
(d) 375
(e) 430
√441.13 ÷ 2.96 + √? = 46.98
(a) 1900
(b) 1760
(c) 1650
(d) 1700
(e) 1600
133.99 + 1333.98 + 13.98 = ?
(a) 1452
(b) 1482
(c) 1575
(d) 1650
(e) 1730
2
5
3
of 34.98 + of 489.98 =?
7
(a) 224
(d) 340
(b) 254
(c) 242
(e) 324
Q401. √121.01 × 99.98 × 324.001 =?
(a) 1900
(b) 1980
(c) 1890
(d) 2010
(e) 2100
Q402. 9.98 ×
(a) 6
(d) 8
0.63 −0.43
(0.62 +0.6×0.4+0.42 )
(b) 4
(e) 10
=?
(c) 2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
148
@Crossword2022
Q403.
Q404.
Q405.
Q406.
Q407.
Q408.
Q409.
Q410.
Q411.
Q412.
Q413.
Q414.
Q415.
Q416.
?
3
of 299.98 – 489.89 = 509.94
(a) 25
(b) 20
(c) 15
(d) 10
(e) 18
? – 24.98% of 2199.99 = 179.99% of 19.98 +
239.98 ÷ 29.99
(a) 452
(b) 508
(c) 594
(d) 662
(e) 736
?2 – 2499.98% of 23.98 + (14.98)2 = (34.99)2
(a) 50
(b) 40
(c) 30
(d) 55
(e) 35
(400.01% of 149.99) / 49.97 = ?2 /(95.98/ 31.99)
(a) 3
(b) 9
(c) 6
(d) 15
(e) 12
180% of 25501 + 50% of 28999 =?
(a) 62400
(b) 64000
(c) 60400
(d) 64200
(e) 61600
340
20.002
÷
29.997
510
×
179.909
59.919
=?
(a) 760
(b) 800
(c) 690
(d) 870
(e) 780
(9321+5406+1001) ÷ (498+929+660) =?
(a) 13.5
(b) 4.5
(c) 16.5
(d) 7.5
(e)18.5
182.225×21.652×33.684 =?
(a) 136136
(b) 49428
(c) 120426
(d) 106438
(e) 84456
63.9% of 8924.95 +? % of 5324.96 = 6827.9862
(a) 36
(b) 21
(c) 17
(d) 31
(e) 41
40.02% of 601+ 250.17 =? – 75.01% of 911.98
(a) 1274
(b) 1147
(c) 1174
(d) 1074
(e) 1474
20.06% of 599 + 10.01% of 901 =?
(a) 150
(b) 210
(c) 250
(d) 280
(e) 380
√289.19 × (2.08) ÷ 10.97 =?
(a) 2
(b) 3
(c) 5
(d) 6
(e) 4
1884 ÷ 144.89 + 6.99 + (? )2 = 69.09
(a) 4
(b) 9
(c) 6
(d) 7
(e) 8
×
34.98
+ 150.04 =?
√12102
(a) 3000
(b) 4700
(c) 4000
(d) 3500
(e) 5600
Q417. 1010 ÷ 36 + 187 × 20.05 =?
(a) 3650
(b) 3770
(c) 3825
(d) 3800
(e) 3700
Q418. (3.2)2 + (9.8)2 + (8.13)2 + (4.24)2 =?
(a) 180
(b) 198
(c) 190
(d) 206
(e) 184
3
14
8
2
Q419. [( ×
2
) ÷ (2.5 − 0.8)] =?
(a) 1.6
(b) 2.4
(c) 4.1
(d) 5.2
(e) 6.8
Q420. 2418.065 + 88 ÷ 14.2 × 6 =?
(a) 2470
(b) 2465
(c) 2460
(d) 2450
(e) 2455
Q421. 564.866 + 82.1091 × 44.881 − 34.111 =?
(a) 4650
(b) 4350
(c) 4250
(d) 4220
(e) 4400
3
Q422. √64002 + (46.85)2 =?
(a) 2090
(b) 2100
(c) 2250
(d) 2175
(e) 2325
Q423. . ?– 19.98% of 1799.99 = 479.99% of 39.98
+ 169.98 ÷ 9.99
(a) 462
(b) 368
(c) 746
(d) 672
(e) 569
Q424. 63.5% of 8924.2 +? of 5324.4 = 6827.5862
(a) 36
(b) 22
(c) 17
(d) 31
(e) 9
Q425.
5
8
of 4011.33 +
(a) 4810
(d) 4930
7
10
of 3411.22 =?
(b) 4980
(e) 4850
(c) 4890
Q426. 8787 ÷ 343 × √50 =?
(a) 180
(b) 185
(d) 190
(e) 175
Q427. √1296.12 × (303 ÷ 8) = (? )2
(a) 18
(b) 28
(d) 37
(e) 58
Q428. 5940 ÷ 28 ÷ 6 =?
(a) 40
(b) 35
(d) 52
(e) 27
Q429. (16.97) ² + 11.09 × 27.97 (a) 525
(d) 505
(b) 386
(e) 462
(c) 195
(c) 48
(c) 46
1920.79
√288.91
=?
(c) 484
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
149
@Crossword2022
Q430.
?–√120.86
32
–
18.96×21.13
√48.91
32
Q443. 40.005% of 439.998 + ?% of 655.011 = 228.5
(a) 8
(b) 17
(c) 12
(d) 20
(e) 5
= –2
2
(a) 848
(b) 724
(c) 775
(d) 874
(e) 905
Q431. 44.11% of 224.96 + 807.9 × 2–3 – (9.97)2 = ?2
(a) 18
(b) 10
(c) 13
(d) 26
(e) 7
3
Q432. 3 of 259.99 =? % of 1247.9
Q444. √? = (1346.92 + 53.11) ÷ 99.9 − 6.98
(a) 121
(b) 441
(c) 1024
(d) 49
(e) 196
1
5
(a) 55
(b) 45
(c) 75
(d) 65
(e) 50
Q433. 25.896 × 5249.80 ÷ 349.78 + √575.94 = ?
(a) 526
(b) 457
(c) 482
(d) 392
(e) 414
Q434. (11.02)2 + (15.89)2 – (14.01)2 =?
(a) 281
(b) 181
(c) 141
(d) 161
(e) 81
Q435. 36.02% of 225 + 42.02% of 400 =? % of
199.98
(a) 136.5
(b) 12.45
(c) 124.5
(d) 144.5
(e) 184.5
Q436. 192.89 + 299.98 + 3999.98 ÷ 7.99 = ? + 499.98
(a) 493
(b) 349
(c) 394
(d) 293
(e) 693
Q437. ? % of 9.89 = 23.98% of 49.98 + 43.9% of
149.98
(a) 570
(b) 900
(c) 860
(d) 625
(e) 780
3
Q438. √1330 + √1763 + √1023 =? +√785
(a) 37
(b) 43
(c) 75
(d) 57
(e) 67
Q439. √3248 × √1297 ÷ √360 =?
(a) 130
(b) 108
(c) 140
(d) 160
(e) 90
Q440. 24.99% of 359.98 + 199.98% of 35.01 = ?% of
799.98
(a) 20
(b) 15
(c) 25
(d) 30
(e) 35
Q441.
249.89
15
299.9
15
× 19.99 ÷ 99.88 = ?
(a) 1850
(b) 1667
(c) 1750
(d) 1900
(e) 2000
Q442. 1201 ÷ 14.99 × 19.91 + 400.01 =?
(a) 1700
(b) 1850
(c) 1800
(d) 1920
(e) 2000
Q445. 32.01² × 5123 × 33.992 ÷ (29 × 16.972 ) = 2?
(a) 3
(b) 4
(c) 9
(d) 10
(e) 6
Q446. (14.99% of 4799.995) ÷ ? = (60.11% of 4.111) ²
(a) 150
(b) 25
(c) 100
(d) 50
(e) 125
Q447.
3
20
𝑜𝑓 239.98 = ? ÷ (1.99 × 0.99)
(a) 72
(d) 37
(b) 33
(e) 80
(c) 45
Q448. √1296.002 ÷ 8.996 × 9.98 + 39.99 = ?
(a) 80
(b) 8
(c) 4
(d) 120
(e) 40
Q449. {(4444 + 333 + 22 + 1) − (2 × 3 × 4 × 5)} ×
2.532 =?
(a) 11700
(b) 12250
(c) 10800
(d) 12100
(e) 10500
Q450. 40.05% 𝑜𝑓 349.9 + 59.89% 𝑜𝑓 249.98 =?
(a) 280
(b) 290
(c) 270
(d) 275
(e) 298
Q451. 17% 𝑜𝑓 760 + 57% 𝑜𝑓 78.99 + 77.77 =?
(a) 238
(b) 242
(c) 245
(d) 251
(e) 256
Q452. 74.99% of 639.98 – 399.98% of 24.01 = ?% of
1599.99
(a) 24
(b) 30
(c) 34
(d) 40
(e) None of these
Q453. (3.02)2 + (9.98)2 + (8.13)2 + (4.04)2 =?
(a) 190
(b) 230
(c) 150
(d) 210
(e) 160
Q454. 8599.999 ÷ 420.002 × 14.996 = ?
(a) 250
(b) 325
(c) 275
(d) 307
(e) 315
Q455. √2703 − √1156 + √483 = ?
(a) 50
(b) 90
(d) 20
(e) 30
(c) 40
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
150
@Crossword2022
4
Q456. 3001 × 749 ÷ 1001– 1399 = ?
(a) 650
(b) 700
(c) 950
(d) 850
(e) 1000
Q457. 149.9% 𝑜𝑓 149.9 + 149.9 = ?
(a) 375
(b) 400
(c) 350
(d) 425
(e) 450
Q458.
989
34
÷
65
869
×
515
207
Q470. 47.89% of 449.9 8+ 52.01% of 439.89 = of ?
5
(a) 456
(d) 756
3
=?
(a) 840
(b) 920
(c) 970
(d) 780
(e) 1000
Q459. (32.13)2 + (23.96)2 − (17.11)2 = ?
(a) 1270
(b) 1421
(c) 1451
(d) 1361
(e) 1311
Q460. 6894.986 + 5025.005 + 600.020 = ?
(a) 12170
(b) 13540
(c) 12950
(d) 11560
(e) 12520
Q461. 31.999 × 12.001 × 17.5001 = ?
(a) 6600
(b) 6720
(c) 6480
(d) 6070
(e) 6270
Q462. 12.164 × 22.009 × 17.932 = ?
(a) 4901
(b) 4895
(c) 4752
(d) 4959
(e) 4350
Q463. 16.978 + 27.007 + 36.984 − 12.969 − 9.003 = ?
(a) 72
(b) 42
(c) 60
(d) 51
(e) 65
Q464. 39% 𝑜𝑓 405 + 61% 𝑜𝑓 610 − 183.67 = ?
(a) 450
(b) 300
(c) 230
(d) 280
(e) 344
Q465. 5682 ÷ 63 × 36 = ? × 17.998
(a) 180
(b) 190
(c) 210
(d) 240
(e) 140
Q466. 4.99 × 12.865 + 599 = ?
(a) 650
(b) 655
(c) 665
(d) 670
(e) 675
Q467. 250.01 − 429.99 + 549.99 = ?
(a) 370
(b) 420
(c) 340
(d) 410
(e) 320
Q468.
340
34.023
×
46.98
510
×
119
94.01
(b) 655
(e) 856
=?
(a) 1.5
(b) 1.2
(c) 2.1
(d) 2.4
(e) 1.7
Q469. 399.89 ÷ 7.88 × 11.88 + 249.87 – 189.88 =?
(a) 755
(b) 655
(c) 680
(d) 555
(e) 695
4
(c) 556
3
Q471. √1727 + √675 + √1295– √1332 =?
(a) 43
(b) 24
(c) 45
(d) 33
(e) 21
Q472. 43.05% of 799.89 + 56.89% of 899.89 =?
(a) 857
(b) 785
(c) 587
(d) 875
(e) 890
Q473. 114.88% of 559.88 + 83.98% of 419.88 =?
(a) 721
(b) 799
(c) 697
(d) 997
(e) 897
Q474. 8348.98 + 6539.98 ÷ 9.9 + 3544.98 ÷ 99.98 –
6449.9 =?
(a) 2288
(b) 2588
(c) 2488
(d) 2858
(e) 2128
3
Q475.
5
4
4
3
7
9
4
𝑜𝑓 𝑜𝑓 699 – 𝑜𝑓 𝑜𝑓 198 = ?
(a) 274
(b) 471
(c) 174
(d) 74
(e) 1074
Q476. 63.98% of 749.98-49.01% of 399.98=10% of?
(a) 2640
(b) 2880
(c) 2480
(d) 2840
(e) 2740
Q477. 23.98% of 259.98+29.98% of 709.98 –
279.89 =?
(a) –5
(b) –10
(c) –15
(d) 9
(e) 5
Q478. 4649.98 ÷ 99.9 + 3749.9 ÷ 9.98 – 3659.98 ÷
39.98 =?
(a) 430
(b) 303
(c) 330
(d) 230
(e) 130
Q479. 7429.98 ÷ 300.02 × 10.004 =?
(a) 256
(b) 251
(c) 258
(d) 248
(e) 266
Q480. 15.2% of 725 + 12.8% of 643 =?
(a) 110
(b) 192
(c) 172
(d) 196
(e) 207
Q481. (36.04)2 – (21.08)2 =?
(a) 888
(b) 855
(c) 846
(d) 871
(e) 865
3
Q482. √728 × √485 =?
(a) 150
(b) 180
(d) 210
(e) 198
(c) 190
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
151
@Crossword2022
Q483. 496 ÷ 0.6 × 0.5 =?
(a) 413
(b) 595
(d) 653
(e) 498
Q484.
150
17
×
199
13
÷
16
91
Q497. 88.05% of 450 =? % of 530
(a) 70
(b) 68
(c) 75
(d) 80
(e) 65
Q498. √899 × (12.005)2 +? = 5000
(a) 680
(b) 720
(c) 750
(d) 620
(e) 630
Q499. 8537.986 – 2416.005 – 221.998 =?
(a) 6500
(b) 5900
(c) 4300
(d) 3900
(e) 4500
Q500. 1019.999 ÷ 60.007 =?
(a) 11
(b) 23
(c) 17
(d) 27
(e) 21
Q501. 111111 ÷ 1111 ÷ 11 =?
(a) 1180
(b) 15
(c) 1100
(d) 9
(e) 11
Q502. 16.001 × 30.999 × 8.999 =?
(a) 4464
(b) 4864
(c) 4160
(d) 5900
(e) 4644
Q503. 88.25% of 450 =? % of 530.
(a) 70
(b) 68
(c) 75
(d) 80
(e) 90
Q504. ?– 12.5% of 647.99 = 24.98% × 363.97
(a) 172
(b) 255
(c) 30
(d) 35
(e) 8
(c) 148
=?
(a) 650
(b) 700
(c) 770
(d) 820
(e) 850
Q485. 151.011 – 419.999 + 649.991 =?
(a) 380
(b) 420
(c) 350
(d) 410
(e) 360
Q486. 1299 ÷ 19.99 × 25.01 + 400.01 =?
(a) 2025
(b) 2300
(c) 1925
(d) 2200
(e) 1700
Q487. √5183.98 ÷ √36 = ?
(a) 21
(b) 6
(c) 12
(d) 18
(e) 26
Q488. 48.01 × 34.9 ÷ 2.95 = ?
(a) 576
(b) 591
(c) 564
(d) 553
(e) 560
Q489. √9026 × (5.96)2 =?
(a) 3050
(b) 3780
(c) 2340
(d) 3420
(e) 3950
Q490. 4734.96 − 3454.03 − 1612.86 = ? −1611.43
(a) 1280
(b) 2290
(c) 1020
(d) 18150
(e) 1040
Q491.
323
55
×
971
251
×
56
61
Q505. 74.99% of 255.89 +
=?
(a)
(a) 27
(b) 9
(c) 4
(d) 16
(e) 21
Q492. 133.008 × 2.97 − 111.87 + 74.13 = ?
(a) 311
(b) 234
(c) 360
(d) 290
(e) 399
Q493. 32.1 × 2799 ÷ 549 + 120 = ?
(a) 220
(b) 280
(c) 375
(d) 505
(e) 190
160
Q494. 2775 ×
= 5550
(d)
(b) 5625
(e) 2025
(b)
16
1
4
Q506. 294.01 ×
(e)
𝑥
8.01
√𝑥
1
9
1
= 47.99% of 649.81
(c)
1
25
36
− 19.99% 𝑜𝑓 119.99𝑥 =
254.9 ÷ 1.9
(a) 10
(b)16
(c) 8
(d) 5
(e) 12
Q507. 33.33% of 110.99 = 19.98% of 244.97 – √?
(a) 289
(b) 64
(c) 441
(d) 144
(e) 625
Q508. 49.99% of 539.99 + 263.98% of 49.99 = ?% of
1608.01
(a) 25
(b) 40
(c) 45
(d) 60
(e) 50
Q509. 71.99% of 399.99 + 399.98% of 39.98 = ?2 –
(5.98)2
(a) 12
(b) 16
(c) 22
(d) 28
(e) 34
√(?)
(a) 6400
(d) 1600
1
39.94
(c) 900
16.022
Q495. 24.982 × (7.98×15.04) × 38.93 = 130 ×?2
(a) 25
(b) 45
(c) 40
(d) 30
(e) 20
Q496. 71.98% of 1200 + 35.06% of 270 =? % of 600
(a) 140
(b) 125
(c) 120
(d) 135
(e) 160
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
152
@Crossword2022
Q510. (3.2)2 + (9.8)2 + (8.13)2 + (4.24)2 =?
(a) 180
(b) 190
(c) 198
(d) 206
(e) 184
Q511. 323.996 + 236.05 – 15 × ? = 24.99% of 640
(a) 116
(b) 8
(c) 86
(d) 27
(e) 72
3
Q512. √13824.3 + (46.85)2 =?
(a) 2090
(b) 2100
(c) 2230
(d) 2175
(e) 2325
Q513. 64.9% of 8920.2 + ? %of 5320.4 = 6830.1862
(a) 36
(b) 20
(c) 17
(d) 31
(e) 9
Q514. 32.99% of 549.98 + 61.98% of 840.01=3.99% of ?
(a) 175575.5
(b) 175.575
(c) 17557.5
(d) 15557.5
(e) 19557.5
5 3
4
5
5
Q515. √ 𝑜𝑓 254.89 + 29.9% 𝑜𝑓 299.9 − 𝑜𝑓 ? = −366.9
(a) 462.5
(b) 46.25
(c) 426.5
(d) 450.5
(e) 442.5
Q516. 13534.98 + 16753.76 + 18934.34 – 34353.84 =?
(a) 12869
(b) 14968
(c) 14689
(d) 14869
(e) 13869
Q517.
2.99
6.98
÷
291.01
238.02
× 387.98 + 46.02% 444.98 = ?
(a) 320
(b) 361
(c) 381
(d) 241
(e) 341
Q518. 87.66% of 550.12 + 13.76% of 850.14 =?
(a) 650
(b) 600
(c) 635
(d) 563
(e) 453
Q519. 447.75 ÷ 28 × 4.99 = ?
(a) 60
(b) 70
(c) 72
(d) 80
(e) 75
Q520. 1679 ÷ 14.95 × 5.02 = ?
(a) 540
(b) 525
(c) 545
(d) 560
(e) 520
Q521. 5237.897 – 6629.010 + 7153.999 –
2205.102 = ?
(a) 6340
(b) 4688
(c) 5240
(d) 3558
(e) 6290
Q522. 459% of 849.947+ 266.5% of 6284.012 –
1486.002 = ?
(a) 20330
(b) 12640
(c) 15000
(d) 22160
(e) 19140
Q523. (9321+5406+1001)÷(498+929+ 660) = ?
(a) 13.5
(b) 4.5
(c) 16.5
(d) 7.5
(e) 10.5
Q524. 12.95 × 7.05 + (85.01)2 × 10.99 = ?
(a) 69566
(b) 79566
(c) 81000
(d) 80566
(e) 76566
Q525. 432.62 − 269.21 ÷ (11.9% 𝑜𝑓 74.95) = ?
(a) 370
(b) 380
(c) 403
(d) 410
(e) 420
Q526. 899.99 ÷ 45.072 = ? −224.488
(a) 224
(b) 230
(c) 250
(d) 244
(e) 260
Q527. (17.95)2 − (14.05)2 + (2343.75 + 81.55) ÷
? = 229
(a) 24
(b) 28
(c) 30
(d) 20
(e) 34
Q528. 39.97% 𝑜𝑓 649.8 ÷ 13.05 = 45.12− ?
(a) 40
(b) 15
(c) 25
(d) 10
(e) 30
Q529. √624.98 + √729.25 = ?
(a) 58
(b) 56
(c) 52
(d) 61
(e) 62
Q530. 69.008% of 699.98 + 32.99% of 399.999 = ?
(a) 615
(b) 645
(c) 675
(d) 715
(e) 815
Q531. {(12.022 of 511.78 ÷ 96.16) ÷ 36.02} of ? =
4607.81
(a) 64
(b) 216
(c) 512
(d) 144
(e) 108
Q532 63.65% of 749.87 + 60.06% of 1274.75
= ? × 12.02 + 15.052.02
(a) 45
(b) 85
(c) 125
(d) 175
(e) 15
Q533. 67% of 801 – 231.17 = ? – 23% of 789
(a) 490
(b) 440
(c) 540
(d) 520
(e) 590
Q.534 45.96 × 29.98 + 167.98 × 1/3.98 × 1/1.92
– 120.99 = ?
(a) 1240
(b) 1280
(c) 1220
(d) 1260
(e) 1250
Q. 535 [(6.973 × 7.073) / {7.172 × 6.94}3] ×
6.978 = 7.13?
(a) 4
(b) 3
(c) 1
(d) 5
(e) 6
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
153
@Crossword2022
Q.536 91.99 – [70.97 + {4.04 – (4.95 – 1.99))}] = ?
(a) 10
(b) 15
(c) 25
(d) 20
(e) 30
Q. 537 (19.99)2 × [35.98 × 24.04] ÷ (11.98 × 1.982) = ?
(a) 5600
(b) 6400
(c) 9600
(d) 7200
(e) 8400
Q.538 51.98 + 105.98 – ? × 2.93 = 130.91
(a) 6
(b) 18
(c) 8
(d) 12
(e) 9
Q. 539 (7.072 - 30.98) × 2.98 ÷ (7.982 - 45.96) = ?
(a) 5
(b) 8
(c) 11
(d) 15
(e) 3
Q.540 849.99 ÷ 33.94 + 4.953 = 5.96 × 4.85 × ?
(a) 5
(b) 2
(c) 10
(d) 8
(e) 14
Q.541 {74.95 - (118.99 - 128.08 ÷ 8.08 × 6.98)} = ?
(a) 56
(b) 74
(c) 68
(d) 92
(e) 86
Q.542 11.98 × 84.98 ÷ 4.95 + 39.99% of 349.99 = ?
(a) 314
(b) 334
(c) 344
(d) 324
(e) 354
Q.543 16.992 - 88.99 - 13.942 + 3.94 = 1.922 × ? ÷ 10.98
(a) 32
(b) 28
(c) 38
(d) 18
(e) 22
Q.544 11.922 + 15.982 – ?2 = 10.102 × 3.03
(a) 5
(b) 15
(c) 10
(d) 25
(e) 20
Q.545 24.95 - {16.98 - 11.98 ÷ (5.15+17.98 - 16.98)} = ?
(a) 15
(b) 25
(c) 20
(d) 30
(e) 10
Q.546 21.03 × 6.97 + 12% of 401.09 - 2/7 of 699.81
= ? - 105.07
(a) 80
(b) 90
(c) 100
(d) 110
(e) 120
Q.547 104.042 - 96.022 + 53.992 - 46.072=100+?
(a) 1200
(b) 2000
(c) 2300
(d) 1950
(e) 2150
Q.548 2% of (298.99 + 15.982 - 255.11) = ?
(a) 2
(b) 3
(c) 4
(d) 5
(e) 6
Q.549 13.97 × √9.08 + 300.04 - 99.97 = ?
(a) 235
(b) 248
(c) 255
(d) 242
(e) 225
Q.550 18.02 - (? - 19.01) + 10.982 = 120.04
(a) 41
(b) 38
(c) 35
(d) 43
(e) 31
Q.551 ?% of 405.23 – 272.89
= 2.05 × 12.18 + 2.85 × 9.32
(a) 20
(b) 160
(c) 100
(d) 80
(e) 190
Q.552 (2099.92 ÷ 25.02 of ? × 199.56 + 1199.95)
= 3999.86
(a) 42
(b) 6
(c) 84
(d) 124
(e) 236
Q.553 √2115.88 × (4.96)2 + 896.32 = ?
(a) 2046
(b) 3114
(c) 2678
(d) 2298
(e) 3482
Q.554 666.66 + 66.66 + 16 + 0.66+0.06 ÷ 0.001 = ?
(a) 810
(b) 755
(c) 750
(d) 756
(e) 850
Q555. √? = (1346.92 + 46.94) ÷ 99.9 − 6.98
(a) 121
(b) 441
(c) 1024
(d) 49
(e) 196
Q556. {(39.69% of 1000.05 + 24.24 × 15.15) + ?}
= 1191.89
(a) 432 (b) 560 (c) 192
(d) 72
(e) 312
Q557. (14.99% of 4799.995) ÷ ? = (170% of 7.111)²
(a) 150
(b) 25
(c) 100
(d) 50
(e) 5
Q558.
3
20
𝑜𝑓 239.98 = ? ÷ (1.6 × 0.499)
(a) 29
(d) 37
(b) 33
(e) 80
(c) 45
Q559. √1296.002 ÷ 8.996 ÷ 9.98 + 39.4 = ?
(a) 80
(b) 8
(c) 4
(d) 120
(e) 40
Q.560 79.98% of 299.99 + 39.94% of 349.99
= ? + 59.99% of 399.99
(a) 160
(b) 180
(c) 210
(d) 140
(c) 120
Q.561 3.03 – (9.09 – 2.93 × 7.98 ÷ 1.92) = ?
(a) 12
(b) 8
(c) 21
(d) 2
(e) 6
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
154
@Crossword2022
Q.562 241.98 – [18.962 – (227.93 + 171.98) ÷ 1.92] = ?2
(a) 7
(b) 11
(c) 15
(d) 9
(e) 5
Q. 563 (21.93)2 - (7.98)3 - √1295.96 + 63.98 = ?
(a) 2
(b) 10
(c) 5
(d) 15
(e) 0
Q.564 143.99 ÷ (5.93)2 × 7.92 – 23.97 = √?
(a) √8
(b) 8
(c) 64
(d) 512
(e) 16
Q565. 149.98% of 30.03 + 25.05% of 139.96 = ?
(a) 85
(b) 70
(c) 65
(d) 80
(e) 75
4
Q566. √0.000128 ÷ 0.06 × 972.0002 = ?
(a) 0.12
(b) 1.2
(c) 2.4
(d) 12
(e) 24
Q567. 1444.9998 × 80.0001 ÷ 99.999 = (? )2
(a) 34
(b) 30
(c) 24
(d) 12
(e) 17
Q568. (74.98)2 − (24.99)2 − (30.02)2 = (? )3
(a) 14
(b) 15
(c) 18
(d) 17
(e) 16
3
3
5
4
Q569. 3 × 3
× 1
2
9
− 6
2
5
÷2
2
3
=?
(a) 17
(b) 20
(c) 14
(d) 24
(e) 10
Q.570 47.88 + 84.07 - 99.95 = 7.86 × ?
(a) 4
(b) 3
(c) 8
(d) 2
(e) 6
Q. 571 (11.90% of 1200) ÷ 6.10 = (?)3 – 2.91
(a) 27
(b) 9
(c) 11
(d) 5
(e) 3
Q.572 54.86 + 19.98 + (?)2 = 28.01% of 700
(a) 121
(b) 11
(c) 10
(d) 12
(e) 15
Q. 573 (18.64)2 + (8.32)2 ÷ (1.85)2 = ?2 + (1.23)2
(a) 24
(b) 19
(c) 15
(d) 22
(e) 26
Q. 574 (453.81 + 29.89)1/2 ÷ 10.85 = (0.1 × ?) ÷ 4
(a) 85
(b) 8
(c) 80
(d) 0.8
(e) 2
Q.575 49.99% of (152.01 + 63.99 ÷ 2)×7.01= 46 × ?
(a) 16
(b) 22
(c) 18
(d) 14
(e) 24
Q.576 59.99% of 310 – 102.97 + 30.08% of 260 = ?
(a) 143
(b) 161
(c) 153
(d) 171
(e) 139
Q.577 79.74 ÷ 4.25 + 772.80 = 1009.14 - (?)3
(a) 7
(b) 12
(c) 6
(d) 4
(e) 8
Q.578 2998.88 ÷ 101.02 – 4.999 × 2.8998 + 6.978 = ?
(a) 32
(b) 26
(c) 28
(d) 42
(e) 22
Q. 579 (171.94 ÷ 7.99) × 12.01 = ? × 5.81 + 23.99
(a) 39
(b) 36
(c) 23
(d) 42
(e) 48
Q.580 255.96 ÷ 1.923 × ? = 15.66% of 2999.99
(a) 17
(b) 15
(c) 25
(d) 22
(e) 20
Q.581 598.01 ÷ 22.93 + √143.94 = √? + 287.88
÷ 15.89
(a) 200
(b) 350
(c) 600
(d) 500
(e) 400
Q. 582 (683.94 + 387.01) ÷ 2.93 + 162.93 163.99 = ?
(a) 296
(b) 214
(c) 308
(d) 356
(e) 454
Q.583 4499.95 + 499.95 ÷ 24.95 – 919.92
= 17.91 × ?
(a) 150
(b) 120
(c) 100
(d) 200
(e) 180
Q. 584 (979.8 + 888.08) ÷ 4.04 + 632.93 = 683.84
+ 25.96 × ?
(a) 20
(b) 18
(c) 22
(d) 26
(e) 16
Q.585 96.98 + 709.99 – 142.93 = 3.98 × ?
(a) 154
(b) 150
(c) 166
(d) 160
(e) 172
Q.586 325.05 – [(11.92)2 – 74.95] = (?)2 – 67.8
(a) 16
(b) 14
(c) 22
(d) 18
(e) 24
Q.587 620.99 ÷ 26.97 × 1.92 – 36.97 = √?
(a) 64
(b) 36
(c) 144
(d) 121
(e) 81
Q.588 673.8 – 457.2 + 518.9 = ? + (18.89)2
(a) 324
(b) 348
(c) 382
(d) 375
(e) 368
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
155
@Crossword2022
Q589. 44.04 ÷ 3.97 × 7.49 ÷ 2.54 + 3 = √?
(a) 6
(b) 36
(c) 24
(d) 1296
(e) 216
Q595. 55.82 ×
(a) 17.5
(d) 15
2
410
69.89
+ 499.9 – 127.9 = 𝑥% 𝑜𝑓 5600 ×
(b) 25
(e) 8
1
2
(c) 10
Q596. 56.09 × ? + 25.98 % of 450.10 + √15.99
= (31.08)2
(a) 5
(b) 25
(c) 10
(d) 15
(e) 40
Q590. (√? )3 + (2.01)10 + (4.99)3 = 1156.92
(a) 256
(b) 128
(c) 512
(d) 1024
(e) 1296
Q591. 8.07% of 449.97 + 5.96% of 1449.97
= 24.98% of ?
(a) 576
(b) 378
(c) 550
(d) 625
(e) 492
Q592. 84.04% of 1649.97 + 19.98% of 870.08 = ?
(a) 1600
(b) 1560
(c) 1410
(d) 1375
(e) 1800
Q593. 64.07% of 249.96 + 35.93% of 150.17 = ?
(a) 214
(b) 180
(c) 235
(d) 245
(e) 340
Q594. √2498 × √626 ÷ √99 = 𝑥 % 𝑜𝑓 2500
(a) 5
(b) 10
(c) 12.5
(d) 2
(e) 8
Q597.
545.93
?
+ 56.09% 𝑜𝑓 549.92 =
28.06 % 𝑜𝑓 1249.98
(a) 17
(b) 13
(c) 21
(d) 25
(e) 28
Q598. (12.09)3 + (16.21)2 - √? + (25.93)2 = (36.11)2 79.98
(a) 30
(b) 46
(c) 38
(d) 50
(e) 54
Q599. ?% of 340.09+11.98 % of 2174.99+
√3721.09 = (21.09)2
(a) 35
(b) 42
(c) 45
(d) 30
(e) 28
Q600. 547.05 + 243.02 - ? = 24.89 % of 2584.11
(a) 128
(b) 144
(c) 120
(d)118
(e) 156
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
156
@Crossword2022
SOLUTIONS
10. Ans.(d)
? ≈ (18 x 656 x 144)/(82 x 24)
= 18 x (656/82) x (144/24) = 18 x 8 x 6
= 864
11. Ans.(b)
1. Ans. (d)
? % of 25% of 40% of (144 + 6) = 2.25
? % of 25% of 40% of 150 = 2.25
? % of 25% of 60 = 2.25
42
? % of 15 = 2.25
? ≈ 15
2. Ans. (a)
(8)3 + (8)2 = −100 + (? )2
512 + 64 + 100 = (? )2
? ≈ 26
3. Ans. (e)
33×42×5
11×15
100
273 + 243 – √? = 2 × 256
√? = 516 – 512
√? = 4
? = 16
12. Ans.(d)
?
100
?
+ 14 =? % 𝑜𝑓 280
100
?
? ≈20
4. Ans.(d)
97 + 997 − 100 + 1000 + 6 = 400 ×?
?≈ 5
5. Ans.(c)
100
?=
728
× 450 ≈ (8)2 + (2)5
× 750 = 96 + 99
195×100
750
× 15 +
?
?=
24
100
× 550– 38 ≈ (22)2
= 484 + 38– 132
728×15
390
? = 28
14. Ans.(a)
36 ×? +33 × 4 + √441 ≈ (21)2
36 ×? = 441– 21– 132
7. Ans.(d)
Sol.
?=
288
36
?=8
15. Ans.(b)
60% of 960 + 65% of 240 ≈?% of 6100
60
65
?
⇒ 100 × 960 + 100 × 240 = 100 × 6100
61
72
100
× 750 + 225 – 324 = 64 + 32
?
728×15
(17)2 + (21)2 + √2916 ≈ (? )2
⇒ 289 + 441 + 54 = (? )2
⇒ ? = √784 = 28
⇒?=
× 750 + (15)2 –
? = 26
13. Ans.(e)
10% of 300 = (? )3 + (? )
30 = (? )3 + (? )
?≈ 3
6. Ans. (b)
Sol.
732
× 650 + (3)5 – √? ≈ 2 × (4)4
568 + 330 – (12)2 ≈
= 12
8
8. Ans.(a)
100
?=
⇒ √(13)2 + 28 ÷ 4– (27)+? ≈ 16
8
100
×?
×? = 898– 144
754×100
8
? = 9425
16. Ans.(a)
(13)² + (21)² - 30 × 7 ≃ ? – 520 + 150
169 + 441 – 210 = ? – 370
? = 770
17. Ans.(c)
18
?
× 1900 +
× 1150 = 684 − 112
100
100
⇒ √169 + 7– 27 + ? = 16
⇒ 149 + ? = 256
⇒ ? = 107
9. Ans.(a)
Sol.
⇒ 286 × 10 + 65 × 54 ≈ ? + 164
⇒ 2860 + 3510 = ? + 164
⇒ ? = 6206
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
157
@Crossword2022
?
× 115 = 572 − 342
24. Ans.(a)
? = 20
18. Ans.(d)
440
= 512 − 8 − 484
?
440
?=
?+
10
20
56
100
12
?
14
?
56
100
56
100
56
100
?=
4
× 450 = (14)2 + √16
?=
? = 96 × 14
? = 1344
23. Ans.(d)
100
?
100
?
100
?=
20
× ? = 70
70×100
56
300
12
= 25
(? )2 = 256
? = 16
30. . Ans.(a)
× 1210 = (28)2
100
× ? = 190 − 120
√? – 15 = 20
? = 415
29. Ans.(e)
(? )2 + (12)2 + (6)2 + (8)3 ≃ 500 + 448
(? )2 = 948 – 144 – 36 – 512
= 580 − 484
× 1355 +
× ? + 120 = 196 – 6
1150 + √? – 15 = 1170
+ 484 = 576 + 4
?
× 96
27. Ans.(d)
1730 + 1270 + ? ≃ 250 × 20
? = 5000 – 3000
? = 2000
28. Ans.(c)
1150 + √? – 15 ≃ 90 × 13
3
100
?
100
? = 125
26. Ans.(b)
28
?
× 450 +
× 1200
100
100
≃ 200 + 226
? × 12 = 426 – 126
+ (22)2 = (24)2 + √64
14
125
= (14)2 − √1296
?3 × 18 + 54 = 196 + 2
?3 × 18 = 198 − 54
?3 × 18 = 144
?3 = 8
?=2
22. Ans.(a)
14
?
× ? +
4
30 × √? = 90
?=9
21. Ans.(b)
100
× 1280 = (24)2 + √196
? + 448 = 576 + 14
? = 590 − 448
? = 142
25. Ans.(d)
?= 22
19. Ans.(a)
(? )2 − 432 = 1240 + 482 − 1313
(? )2 = 409 + 432
(? )2 = 841
? = 29
20. Ans.(b)
11
30 × √?+ √961 =
× 1300 − 22
100
30 × √?+ 31 = 143 − 22
?3 × 18 +
35
100
× 1355 + 242 = 784
× 1355 = 784 − 242
√410 + 220– √25 ≃ ? +15
× 1355 = 542
? = √630– 5 – 15
? = 25 – 15 = 10
31. Ans.(a)
(27.02)2 + 2669÷ 2.98 – 218.9 = 1869.6 - ?
542×100
1355
? = 40
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
158
@Crossword2022
(27)2 +2670 ÷ 3 -219 =1870 - ?
729+ 890 -219=1870 - ?
1400=1870 -?
? = 1870 -1400 = 470
32. . Ans.(d)
17998÷ 4.99×1.52+ 7199.2 -3448.6
≈18000÷ 5×1.52+ 7200 -3450
≈3600× 1.5 +3750
≈ 5400+ 3750
≈9150
33. Ans.(b)
3599÷8.98 +1244.9×2.98+(17.99)2
≈3600÷9 + 1245×3+324
≈400+3735+324
≈4460
34. Ans.(e)
38. Ans.(b)
(89.99)2 – (67.03)2 – 64.99% of 780.02 =
31.93×?
(90)² - (67)² - 65% of 780 ≈ 32 × ?
⇒ 8100 − 4489 – 507 ≈ 32 × ?
⇒ 3611 – 507 ≈ 32 × ? ⇒ ? ≈ 97
39. Ans.(a)
√89.99 × 23.99– (112.01 × 17.9) + 480.93
=?
√90 × 24 – (112 × 18) + 481 ≈?
⇒ √2160– 2016 + 481 ≈ ?
⇒ ? ≈ √625 ≈ 25
40. Ans.(b)
?²+29.07×5.114–115.117=8.9% of
400.118+ 522.9
?² + 29 × 5 – 115 ≈ 9% of 400 + 523
√7567.4× 4.52 +161.8 × 7.97= 2399.6 -?
≈87× 4.5 +162×8=2400-?
≈391.5+1296 =2400-?
1687.5= 2400-?
⇒ ?² + 30 ≈
9
100
× 400 + 523
⇒ ?² + 30 ≈ 36 + 523
⇒ ?² ≈ 529
⇒ ? ≈ 23
41. Ans.(e)
Sol. √16.9 × 44.9 + 4798.5 ÷ 3.98 + 59.8
≈ 340
≈ √17 × 45 + 4800 ÷ 4 + 60 42. Ans.(e)
≈ √765 + 1200 + 60
≈ 280 +500
≈ √2025
≈ 780
≈45
43. Ans.(b)
? ≈2400 -1687.5 =712.5
≈710
35. Ans.(b)
≈
36. Ans.(c)
(2262.98 ÷ 31.01) × (510.01 ÷ 169.99) = ?
+ 59.91% of 159.988
(2263 ÷ 31) × (510 ÷ 170) ≈ ? + 60% of
160
⇒ 73 × 3 ≈ ? + 96
5
≈ 10
44. Ans.(b)
≈ 990 + 77.5
≈ 1070
45. Ans.(e)
≈ 50
46. Ans.(b)
⇒ ? ≈ 219 – 96 ≈ 123
37. Ans.(e)
620.99 ÷ 23.01 + 28.11% of 749.899 = ? +
36.001% of 349.93
621 ÷ 23 + 28% of 750 ≈ ? +36% of 350
⇒ 27 + 210 ≈ ? +
25+25
32 ÷ 4 ÷ 10 + 29 = ?
? = 8 ÷ 10 + 29
? = 29.8 ≈ 30
47. Ans.(a)
√? = (1248.28 + 51.7) ÷ 99.9 − 7.98
36×350
100
⇒ 237 ≈ ? + 126 ⇒ ? ≈ 111
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
159
@Crossword2022
√? = (1300 ÷ 100) − 8
√? = 5
? = 25
48. Ans. (c)
36√𝑥 + 32√𝑥 =
68√𝑥 =
68
11
68
11
×𝑥
×𝑥
√𝑥 = 11
𝑥 = 121
49. Ans.(c)
(? )2 ≈ 96 − 4 + 104
55. Ans.(a)
= 196
? ≈ 14
50. Ans.(c)
129 − 224
56. Ans.(b)
125
100
× 440 +
75
100
× 840 + 2 = 40 ×?
550 + 630+2 = 40 × ?
? ≈ 30
57 Ans.c
? × 128 + 1728 = (13)3 + 171
? × 128 = 2197 + 171 − 1728
= −95
51. Ans.(d)
?=
640
128
?=5
58. Ans.(d)
?3 × 15 +
125
100
× 464 = (38)2 + 96
?3 × 15 = 1444 + 96 − 580
?3 × 15 = 960
?3 = 64
?=4
59. Ans.(e)
1268 + ?3 = (12)3 + 52
?3 = 1780 − 1268
?3 = 512
?=8
60. Ans.(d)
52. Ans.(e)
53. Ans.(d)
?
14
?
14
?
14
+ 122 − √1936 = (16)2
= 256 + 44 − 144
= 156
? = 2184
61. Ans.(b)
1
420.12
= (361.11)2 − 22.01 × 6.99 + 141.99
?
54. Ans.(d)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
160
@Crossword2022
1
420
≃ (361)2 − 22 × 7 + 142
?
420
⇒
≃ 19 − 154 + 142
?
420
420
⇒
≃ 7 ⇒ ?≃
≃ 60
?
7
62. Ans.(c)
? + 185.10 – 79.09
= (23.01)² - 70.01% of 139.99
70
⇒? + 185 − 79 ≃ (23)2 −
× 140
100
⇒ ? + 106 ≃ 529 − 98
⇒ 852 - 13 × 8 - 102 × 3 - 1 = ?2
⇒ 852 - 104 - 306 -1 = ?2
⇒ 441 = ?2
⇒ 21 = ?
68. Ans.(e)
Given expression is
3.94 + 1/12.93 of {2599.96 ÷(117.98 –
107.98)} = ?
⇒ 4 + 1/13 of {2600 ÷ (118 – 108)} = ?
⇒ 4 + 1/13 of {2600 ÷ 10} = ?
⇒ 4 + 1/13 of 260 = ?
⇒ 4 + 20 = ?
∴ ? = 24
69. Ans.(c)
Given expression is
⇒
⇒ ? ≃ 431 − 106 ≃ 325
63. Ans.(e)
√783.98 + (22.02)2 = 2 × (? )2
⇒ √784 + (22)2 ≃ 2 × (? )²
⇒ 28 + 484 ≃ 2 × (? )²
⇒512 ≃ 2 × (?)²
⇒ (?)² ≃ 256
⇒ ? = 16
64. Ans.(e)
44.04% of 349.98 + 205.01% of 140.01 = (?)²
44
205
⇒
× 350 +
× 140 ≃ (? )2
100
100
⇒ 154 + 287 ≃ (?)²
⇒ 441 ≃ (?)² ⇒ ? = 21
65. Ans.(b)
3
(63.94 × 15.96 ÷ 255.96)2 = √[3.94(? −3) ]
3
⇒ (64 × 16 ÷ 256)2 = √[4(? −3) ]
3
⇒ (64 × 16/256)2 = √[4(? −3) ]
3
⇒ 42 = √[4(? −3) ]
?
+ 44.01 + 139.99 = 78.09 + 249.01 + 86.99
?
⇒ + 44 + 140 ≃ 78 + 249 + 87
4
?
⇒ ≃ 414 − 184
4
?
⇒ ≃ 230
4
⇒ ? ≃ 920
66. Ans.(a)
Given expression is
11.922 + 15.96 of 2.93 – 19.92 ÷ 3.99 = ?
⇒ 122 + 16 of 3 – 20 ÷ 4
⇒ 144 + 16 × 3 – 5
⇒ 144 + 48 – 5 ⇒ 187
67. Ans.(d)
Given expression is
851.92 - 12.93 × 7.98 - 101.92 × 2.93 - 0.91 = ?2
4
⇒ 46 = 4(? −3)
⇒ (?) – 3 = 6
⇒ (?) = 9
70. Ans.(c)
1
(25.11)2 × (80.87)1/4
1
× (49.22)2 + 3.13 × 7.01 + 2 = 2?
Taking the approximate values,
25.11 ≈ 25, 80.87 ≈ 81, 49.22
≈ 49, 3.13 ≈ 3, 7.01 ≈ 7
1
1
1
⇒ (25)2 × (81)4 × (49)2 + 3 × 7 + 2
= 2?
⇒ 5 × 3 × 7 + 23 = 2?
⇒ 2? = 128
∴?=7
71. Ans.(e)
Given expression becomes,
⇒ (18 × 5 – 10) – ( ¾ of 16) = 33 + ?
⇒ (90 – 10) – (3/4 × 16) = 33 + ?
⇒ (80) – (3 × 4) = 33 + ?
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
161
@Crossword2022
⇒ 80 – 12 = 33 + ?
⇒ 68 = 33 + ?
⇒ ? = 68 – 33
⇒?
≈ 35
72. Ans.(a)
Given expression is,
⇒ ? = 1280/8 = 160
76. Ans.(d)
599.99 × 3/2 of 19.92% of (109.99 – 9.99) = ?
= 600 × 3/2 of 20% of 100 = ?
= 600 × 3/2 of 20/100 of 100 = ?
= 600 × 3/2 of 20 = ?
= 600 × 3/2 × 20 = ?
= 600 × 30 = 18000 = ?
77. Ans.(c)
1
(66)3 + (3.01)3 – 69.98 ×
2.02 + 30% of √6399 = ?
Taking the approximate values as,
66 ≈ 64, 3.01
≈ 3, 69.98
≈ 70, 2.02
≈ 2, 6399
≈ 6400
(2.992 × 3.992 × 4.99) ÷ 35.99
= (? )2 – 79.99
⇒ (32 × 42 × 5) ÷ 36 = (? )2 – 80
⇒ (? )2 = ((9 × 16 × 5) ÷ 36) + 80
⇒ (? )2 = (720 ÷ 36) + 80
⇒ (? )2 = 20 + 80 = 100
1
⇒ (66)3 + (3)3 – 70 ×
2 + 30% of √6400 = ?
⇒ 4 + 27 – 140 + 24 = ?
∴ ? = -85
73. Ans. (a)
We can also write values as:
90.77 ≈ 91, 116.81 ≈ 117, 13.40 ≈ 13, 44.16 ≈
44, 152.67 ≈ 153
Given expression becomes,
⇒ 91 + 117 ÷ 13 – 44 = 153 - ?
⇒ 91 + 9 – 44 = 153 - ?
⇒ 100 – 44 = 153 - ?
⇒ 56 = 153 - ?
⇒ ? = 153 – 56
⇒ ? ≈ 97
Ans.74 (a)
Given expression is,
⇒ (?) = √100 = 10
78. Ans.(b)
324.95 – [(11.99)2 – 74.9] = (? )2 – 67.99
⇒ 325 – [(12)2 – 75] = (? )2 – 68
⇒ 325 – [144 – 75] + 68 = (? )2
⇒ 325 – 69 + 68 = (? )2
⇒ 324 = (? )2
⇒ 18 = ?
79. Ans.(e)
Given expression is
34.99 × 17.98 ÷ 6.97 – 72.93
= ? – 128.99
⇒ 35 × 18 ÷ 7 - 73 = ? -129
⇒ 35 × (18/7) - 73 = ? -129
⇒ ? = 35 × (18/7) - 73 + 129
⇒ ? = 90 - 73 + 129 ⇒ ? = 146
80. Ans.(e)
16 × 50 − 18 × 32 + 196 = ?
? = 800 − 576 + 196
? = 420
81. Ans.(b)
√?× 45.16 = 250.08 × 15.01 + 138.21 × 24.88
√? × 45 ≈ 250 × 15 + 138 × 25
√? ≈ 160
? = 25600
75. Ans.(c)
? + 14 + 695 =
[1279.98)2 ÷ 32.23 × 23.94] ÷ 47.98 = ?2
36
100
× 2400 + 755
2
2
? × 14 = 864 + 755 − 695
2
2
?=
⇒ [(1280) ÷ 32 × 24] ÷ 48 =?
⇒ [(1280) × 24]/(32 × 48) = ?
⇒ (1280)2 /64 = ?2
924
14
? = 66
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
162
@Crossword2022
82. Ans.(b)
18
100
90. Ans.(d)
× 200 +
?
100
× 600 =
40
100
28
× 750
63 + 81 = ?2
?2 = 144 = 12
91. Ans.(a)
?
+ 196
18
= 225 − 5
? × 6 = 300 − 36
?=
264
6
? = 44
83. Ans. (a)
339 +211- 380
~ ? = 320
? ~ 870 - 380
? ~ 490
84. Ans.(e)
286.97 × 56.97 + 240.91 = √624.95 × ?
⇒ 287 × 57 + 241 = √625 × ?
⇒ 16359 + 241 = 25 × ?
⇒ 25 × ? = 16600
⇒ ? = 16600/25
⇒ ? = 664
85. Ans. (b)
90
100
× 400 +
15
100
?
18
× 4800 − 677 = ?
400
50
56
?= 8
87. Ans.(e)
? = 350
94. Ans.(d)
?3 × 18 + 25 = 2275
?3 × 18 = 2250
500
× 112
100
= 1240 − 280
(2? )2 = 1240 − 280 − 560
(2? )2 = 400
? = 10
88. Ans.(d)
(2? )2 +
1640
41
+
?
400
?3 =
2250
18
?3 = 125
?=5
95. Ans.(d)
𝑥
× (800 − 420) + 13 = 260
× 1000 = 780
100
380×𝑥
? × 2.5 = 780 − 40
?=
= 24
? = 432
92. Ans.(b)
32 × ? + 324
80
=
× 1405
100
32 × ? + 324 = 1124
32 × ? = 800
? = 25
93. Ans.(e)
56
68
× ? + 144 =
× 500
100
100
56
× ? = 340 − 144
100
56
× ? = 196
100
196×100
? =
? = 360 + 720 − 677
? = 403
86. Ans.(b)
? × 50 + 540 = 760 + 180
?=
× 225 + 81 = ?2
100
= 247
100
247×100
740
x=
2.5
380
x = 65
96. Ans.(e)
? = 296
89. Ans.(d)
991 − 648 = (? )3
(? )3 = 343
?= 7
98 +
68 + 𝑥
4
= 138
68 + x = 40 × 4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
163
@Crossword2022
x = 160 – 68
x = 92
97. Ans.(a)
256
106. Ans.(c)
9
75
√𝑥 = 4
x = 16
98. Ans. (c)
(5)2 + 𝑥 = √3025
25 + x = 55
x = 30
99. Ans. (c)
. 49 + x – 32 = (9)²
x + 17 = 81
x = 64
100. Ans.(d)
?=
1088
630
×
648
204
×
148 +
× 1500 ×
35
80
16
100
?
1
100
?=
50−?
×
60
100
= ? − 112
= ? − 64
832
64
− 97 = ?3
?
100
× 650 = 580
× 650 = 580 − 320
260
× 100
650
12
100
2
× 500 − 4 = ?2
256 = ?
? = 16
111. Ans.(d)
84
?
84
× 80 = 240
?
50 − ? = 30
? = 20
104. Ans.(a)
+
26
100
× 800 + 2 = 216
= 216 − 210
? = 14
Ans.112. (e)
?
20
× 550 +
× 650
100
100
= 350
1 2
[(2197)3 ] = ? − 147
? = 147 + 169
? = 316
105. Ans.(b)
80
45
× 550 +
× 800
100
100
= ?2 × 8
?2 × 8 = 440 + 360
?2 =
36
? = 40
110. Ans.(b)
30 + 112 = ?
? = 142
103. Ans.(b)
15
660
× 400 +
200 +
18
×
?3 = 51 + 13
?3 = 64
?= 4
109. Ans.(e)
? = √36 = 6
102. Ans.(d)
36
11
?2 = 507 − 729 + 418
?2 = 196
? = 14
108. Ans.(a)
? = 12
101. Ans.(e)
3
√729 + √1024 = ?2 + 5
?2 = 9 + 32 − 5
100
195
? = 39 + 64 = 103
107. Ans.(d)
(39 × 13) − 729 + 418 = ?2
– 12 = √𝑥
16
×
?
100
?=
× 550 = 350 − 130
220×100
550
= 40%
113. Ans.(c)
5 × (? + 12) +
30
100
× 900 = 360
5 × (? + 12) = 360 − 270
800
5 × ? = 90 − 60
?= 6
8
? = 10
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
164
@Crossword2022
480
114. Ans.(a)
36
100
36
100
?
×? + 324 = 774
? = 24
124. Ans.(b)
⇒ 65% of 240 √1936 = ? ⇒ 200 = ?
125. Ans.(a)
342 + 576 – ?² = (12)² – √100
918 – ?² = 144 – 10
?² = 918 – 134
?² = 784
? = 28
126. Ans.(e)
×? = 450
? = 1250
115. Ans.(b)
190 +
50
× 540+? = 630
100
? = 630 − 460
= 170
116. Ans.(a)
276
12
×
80
115
×? =
32
100
× 100
1
? = 64 ×
24 × ? +
16
?= 4
117. Ans.(d)
(284 +
184
4
? = 330 ×
)÷(
594
9
)= ?
1
66
2172
6
1728 + ?² =
+ 50 × 5 = ?2
1
× 250) × 5 × (5)2 = ?
? = 40
120. Ans.(a)
66 +
40
100
× 475 = (? )2
256 = (? )2
? = 16
121. Ans.(b)
121 + ? =
(√502 + 174) × 15
390 − 220 = ?
? = 170
122. Ans.(a)
? ≈ (√225 − √81)(√16 − √9)
? ≈ (15 − 9)(4 − 3) = 6
123. Ans.(e)
?
+
25
100
100
× 5200
× 5200
96
100
× 500
? = 480 – 121
? = 359
130. Ans.(d)
30
× 180 + (17)2
100
?
=
× 8575
= ? + 220
480
36
100
36
1728 + ?² = 1872
?² = 1872 – 1728
?² = 144
. Ans.? = 12
128. Ans.(a)
472 + 548 – ?² = (18)² + √400
1020 – ?² = 324 + 20
?² = 1020 – 344
?² = 676
? = 26
129. Ans.(e)
? = √1296
? = 36
119. Ans.(a)
80
× 225 = (19)² + √676
(12)³ + ?² =
684 +
100
12
100
24 × ? + 27 = 361 + 26
24 × ? = 387 – 27
24 × ? = 360
? = 15
127. Ans.(b)
?= 5
118. Ans.(b)
(
= 20
100
54 + 289 =
× 500 − 90 = 55
343 ×
100
8575
?
100
× 8575
=?
?=4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
165
@Crossword2022
131. Ans.(a)
(32)2
=
(? )3
−
(15)2
+
16
100
× 1600 +
13
100
138. Ans.(e)
1590
?
+
× 140 ≃ 180 × 8
3
100
7
530 + ×? = 1440
5
? = 650
139. Ans.(d)
×
5000
1024 =?3 – 225 + 256 + 650
?3 = 343
?=7
132. Ans.(b)
. 52 × 18– √2304 =
(30)?
−
840 + 1260 – 120 × 20 ≃
5
100
× 240
?
456
?
456
?
= 13 × 32 −
45
100
100
× 2−?
2100 – 2400 = 15 - ?
? = 315
140. Ans.(b)
936 – 48 + 12 = (30)?
900 = (30)?
?=2
133. Ans.(e)
456
750
× 840
141. Ans.(e)
= 416 − 378
= 38
? = 12
134. Ans.(a)
142. Ans.(a)
√831 − √2209 = √?+ √529
√784 = √?+ 23
? = 25
135. Ans.(c)
24
90
× 550 +
× 910 ≃ ? + 251
100
100
132 + 819 ≃ ? + 251
? = 700
136. Ans.(a)
?
300 × + 150 × 20 ≃ 420 × 30 + 350 × 40
9
300
×? + 3000 = 12600 + 14000
9
300
? ×
= 23600
9
23600
?=
× 3 = 708
100
137. Ans.(b)
90
(? )2 +
× 2000 + 5 × 80 ≃ 130 × 20
100
(? )2 + 1800 + 400 = 2600
(? )2 = 2600 − 2200 = 400
? =20
143. Ans.(d)
144. Ans.(c)
145. Ans.(a)
31.67 × ? + 22.122 = 174.75% of 240.03 +
56.09 × 7.99
32 × ? + 222 ~ 175% of 240 + 56 × 8
32 × ? ~ 1.75 × 240 + 448 – 484
32 × ? ~ 868 – 484
? ~ 384/32 ~ 12
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
166
@Crossword2022
146. Ans.(d)
?2 = (540.09 × 179.98) ÷ (24.082 – 11.782) +
16.05% of 2500.01
?2 ~ (540 × 180) ÷ (242 – 122) + 16% of
2500
?2 ~ (540 × 180) ÷ (36 × 12) + 0.16 × 2500
?2 ~ 225 + 400
?2 ~ 625
? ~ 25
147. Ans.(a)
{(5/7) × 840 – (4200 ÷ 35)} × 5 = ? + 1600
{(5 × 120) – 120} × 5 = ? + 1600
? = 2400 – 1600
? = 800
148. Ans.(a)
(155.34 + 234.78) ÷ 12.65
= ? ÷ 4.99
(155 + 235) ÷ 13 ~ ? ÷ 5
? ~ 30 × 5
? ~ 150
149. Ans.(d)
{44.78% of (11.67 × 54.78)} ÷ 2.65
= ? + 19.25
{45% of (12 × 55)} ÷ 3 ~ ? + 19
(0.45 × 660) ÷ 3 ~ ? + 19
? ~ 99 – 19
? ~ 80
150. Ans.(b)
?
100
× 8000 + 1681 −
? = (676 - 436)×
100
8000
30
100
154 . Ans.(d)
5436
302
50
?=
4
9900
?=
80
?
120
100
= 13 ?= 6
× 120 +
70
100
× 80 ≈ ?×
1000
100
144 + 56 ≈ ? × 10
? ≈20
161. Ans.(c)
2 + 5 × 7 – 432 + 532 ≈ ?
137 ≈?
162. Ans.(e)
42×22
7
+
20
100
× 530 – 43 ≈ ?
132 + 106 – 43 ≈ ?
? ≈ 195
163. Ans.(b)
23 × 23 + 12 × 8 ≈ ?²
? ≈ 25
164. Ans.(a)
≈ 10
80
≈ 13
159. Ans.(d)
≈ 9 + (?)³ – 25 = 42 +6
= (?)³ = 48 + 25 – 9
(?) = 4
160. Ans.(b)
× 4150 = 676
100
79+88+789−878
≈
≈ 3
× 34 × 0.01 + 98 =
18
3
153. Ans.(c)
11×3
200 ×100
(18 + 72 + 360 – 216)
≈ √1331 + 44 − 15+? = 189
? = 189 - 29 – 11
? = 149
156. Ans.(a)
(22)2 + 449 − 33
3
≈
= (5)3 + √512−?
9
⇒ 100 = 133 – ?
⇒ ? = 33
157. Ans.(b)
≈ (46)² + (1016÷ 4) + ? = (14)³
? = 2744 − 2116 − 254
? = 374
158. Ans.(e)
+ 417 + 400 = 625 + 20 × 10
734−350
× 1000
155. Ans.(d)
? = (625 + 200 – 817)× 50 – 250
≈ 150
152. Ans.(e)
484 + 12.5× 20 − 125 −?2 × 4 = 225
?=√
36
100
108
× ? + 216
6
=
151. Ans.(b)
250+ ?
+ 18 + 54 +
×?
25×2000
≈ 250
100
+
25×2000
100
1
– × 100 ≈ ? +50
3
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
167
@Crossword2022
1000 – 33 – 50 ≈ ?
? ≈ 917
165. Ans.(b)
420
– 540 =? – 800
√64 × 36 +
6
? = √2304 + 70 – 540 + 800
? = 378
166. Ans.(a)
16
?
× 1600 +
× 1200 = 20 × 122
100
100
256 + ? × 12 = 2440
?=
2184
12
173. Ans.(e)
?
100
? × 3 = 441 + 361 + 216 + 2
790
√?+ 948 + 200 ≃ 1156
√? = 8 =64
175. Ans.(c)
?² + 190.98 – 19.01 × 6.97 = 316.99 × 1.99
?² + 191 – 19 × 7 ≈ 317 × 2
?² ≈ 576
? ≈ 24
176. Ans.(c)
= 182
768.06 ÷ 11.97 × √256.05 −58.05 = ?
768 ÷ 12 × 16 – 58 ≈ ?
?≈
14
× 1600 = 59 × 12
100
(?)² + 224 = 708
(?)² = 484
? = 22
170. Ans.(d)
179. Ans.(d)
? % 𝑜𝑓 179.99 =
24 + 64 + 140 = ?
? = 228
171. Ans.(a)
– 125 ≃
100
− 58 ? ≈ 966
(? ÷ 9.97) × 12.08 ≈20.12% of 1319.97
20 × 1320
(? ÷ 10) × 12 ≈
100
264
?≈
× 10 ≈ 220
12
× 16 + 16 × 4 ≃ ? – 140
3
12
34.02% of 550.09 ÷ ? = 297.07 ÷ √728.95
34 × 550
÷ ? ≈ 297 ÷ √729
100
187 297
≈
?
27
? ≈ 17
Sol.
178. Ans.(a)
(? )2 +
?+
768×16
177. Ans.(e)
? = 400
169. Ans.(c)
120
= 340
√?+ 100 × 120 + 200 ≃ 2180 – 1024
400
1350
3
174. Ans.(c)
√? = 20 = 20
100
1020
?=
167. Ans.(d)
(8)³ + (15)² – (12)² = ? – 1220 – 1750
512 + 225 –144 = ? – 2970
? = 3563
168. Ans.(e)
64
12
20 × √? =
× 400 +
× 1200
100
100
20 × √? = 256 + 144
150
× 300 ≃ (21)2 + (19)2 + (6)3 + 2.01
√(24.02)2 + (17.98)2 + 60.01% 𝑜𝑓 659.98
× 1650
? % 𝑜𝑓 180 ≈ √(24)2 + (18)2 + 60% 𝑜𝑓 660
? + 450 – 125 = 1980
? = 1655
172. Ans.(c)
(?)² + 900 + 260 ≃ 2385
(?)² = 1225 = 35
?
100
?
100
?≈
× 180 ≈ √576 + 324 + 396
× 180 ≈ √1296
36
180
× 100
? ≈ 20
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
168
@Crossword2022
7
180. Ans.(c)
219 × = 511
?
√(7)2 + (17)2 + (5)2 − 2 =?
⇒ √361 = ?
⇒ ? = 19
181. Ans.(b)
16
46
× 350 +
× 4450−? = 1783
100
100
⇒ 56 + 2047 – ? = 1783
⇒ ? = 320
182. Ans.(a)
8476 ÷ ? × 45 + 32 = 5900
8476
⇒
× 45 = 5868
?
8476×45
⇒?=
= 65
73
?=3
188. Ans.(a)
?
36
19
× 1225 +
× 2500 = 1156 +
× 200
100
100
100
?
× 1225 = 1156 + 38 − 900
100
?
× 1225 = 294
100
? = 24
189. Ans.(d)
37
× ? + 121 – 174 + 15
100
= 961
5868
37
183. Ans.(d)
?
15
× 540 − 78 =
× 920
100
100
?
⇒
× 540 = 138 + 78 = 216
100
216 × 100
⇒ ?=
= 40
540
184. Ans.(e)
(216)3 ÷ (36)2 = (6)? × 36
(216)³
⇒ (6)? =
= 216 = (6)³
(36)² × 36
⇒ ?= 3
185. Ans.(b)
62
×? + 576 = 961 − 13
100
62
×? = 948 − 576
100
62
×? = 372
100
× ? = 961 + 38
37×? = 99900 = 2700
190. Ans.(b)
1
1
(1764)2 + (2197)3
= √(? )3 + 17 + 4 × 8
42 + 13 = √(? )3 + 17 + 32
23 = √(? )3 + 17
529 = (?)³ + 17
1
(?) = (512)3 = 8
191. Ans.(d)
.
35
100
× 80 ×
20
100
× 250 – 424 = ? + 52 × 8
1400 – 424 = ? + 416 = 560
192. Ans.(a)
45 ×
1
65
× 312 + 361 = ?² + 11 × 32
577 = ?² + 352
100
? = 600
186. Ans.(e)
3? × 4 +
219
?=
1
36
100
? = (225)2
? = 15
193. . Ans.(a)
× 2100 = 1728
3? × 4 = 1728 − 756
3? × 4 = 972
3? = 243
?=5
187. Ans.(e)
?
100
?
100
?=
× (1131– 502–241–188) = 60
× 200 = 60
60
2
= 30
194. Ans.(e)
7
1296 + 219 × = 139 × 13
?
. ? – 554–
7
219 × = 1807 − 1296
50
100
×
6450
43
=
36 × 41
369
?
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
169
@Crossword2022
? –554 – 75 = 4
? = 4 + 629
? = 633
195. Ans.(b)
1 296 × 32
37
⇒ ×
=1 1
4
?
×
1
1
1
4
4
296
4
4
4
37
√405×315×245
=?
⇒ ?= × × ×
202. Ans.(d)
28
? =
× 32 ⇒? = 4
√ ×27
3
⇒ ?=
√5×81×5×63×5×49
3
5×7×9
⇒ ? = 105
3
42
197. Ans.(d)
20
100
× 145 −
266
119
×
17
19
=?
100
3
⇒ ? = 29 − 2
⇒ ? 3 = 33
1
1 1
182 474
× ×4 +
×
+ 8 =?2
9 9
91 237
1
6739 + 161 × 5 − 75 × 12 +
20
100
× 120 −
× 110 =?
⇒ ? = 6739 + 805 − 900 + 24 − 11
⇒ ? = 6657
200. Ans.(d)
?
20
× 625 +
× 955 = 441
100
100
6.25 × ? = 441 − 191
?=
250
6.25
= 40
201. Ans.(a)
(5)? + 225 =
170
100
725
?
= 361
25
⇒ ?2 = 2 + 4 + 8 ⇒ ? = 196
199. Ans.(a)
100
× 800 +
? = 29
205. Ans.(c)
? = (242 - 16)/20
= (576 - 16)/20
= 560/20 = 28
206. Ans.(e)
? ≈ 152 + 472 + 252
= 225 + 2209 + 625 = 3059
207. Ans.(d)
? ≈ √784 + √1444 - √289
= 28 + 38 - 17= 49
208. Ans.(c)
? = 1927 ÷ 47 x 41 - 27
= 41 x 41 - 27
= 1681 - 27 = 1654
209. Ans.(d)
? = (31 x 27 - 27)/30
= (837 - 27)/30 = 810/30 = 27
210. Ans.(c)
⇒ ?= 3
198. Ans.(e)
10
28
725
= 361 − 336
?
725
?=
3
√81 ×
126 ×100
? = 450
203. Ans.(c)
511 + (?)2 = 784 + 16
511 + (?)2 = 800
(?)2 = 289
? = 17
204. Ans.(e)
3
⇒ ?=
100
100
196. Ans.(b)
1
3
× ? + 144 = 11 +
30
× 530 + 100
28
× ? = 11 + 159 + 100 – 144
100
28
× ? = 126
100
× 500
11.02 × 8.98 +
(5)? = 850 −225
(5)? = 625
(5)? = (5)4
?=4
11 × 9 +
1331
√121
1331.01
√120.95
(31)2
+
+ (30.95)2 =?
≈ ?
99 + 121 + 961 ≈ ?
? ≈ 1181
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
170
@Crossword2022
211. Ans.(c)
√960.9 +
251.9
√143.9
+? % 𝑜𝑓 350.1 =
(1.99)2
220. Ans.(e)
325 × 16 ÷ 4 + 37 ≈ ?% of 6700
×
⇒ 1337 =
69.01
252
√961 + √144 +? % 𝑜𝑓 350 ≈ 22 × 69
⇒ ?=
? % 𝑜𝑓 350 ≈ 276 – 31 – 21
? ≈ 64
212. Ans.(c)
420
70
+ 500 −
11
100
× 600 = ?×
⇒ 5696 +
5600
⇒ ?=
896
?
100
× 5300 = 6850
1154
53
= 21.77 ≈ 22
222. Ans.(b)
56
? = 16
213. Ans.(a)
25 × ? =
√23409% of 800 – 624
≈ √? × 24 + (12)2
50×25
⇒
10
?=5
214. Ans.(e)
? = 2950 ÷ 59 - 28
= 50 - 28
= 22
215. Ans.(c)
143 = 2744, 223 = 10648, 123 = 1728
? ≈ ∛2744 - ∛10648 + ∛1728
= 14 - 22 + 12 = 4
216. Ans.(a)
? ≈ 112 + 282 - 322
= 121 + 784 – 1024 = -119
217. Ans.(e)
? = (12 x 19 - 3)/15
= (228 - 3)/15
= 225/15 = 15
218. Ans.(d)
40% of 440 + ?% of 655 ≈ 230
⇒ 176 +
= 19.95
⇒ 53? = 1154
100
462 + 434 = 56 × ?
?=
67
× 6700
≈ 20
221. Ans.(d)
64% of 8900 + ?% of 5300 ≈6850
31 + 21 + ? % 𝑜𝑓 350 ≈ 276
77 ×
1337
?
100
?
100
153
100
× 800 – 624 = √?× 24 + 144
⇒ 1224 – 624 = √? × 24 + 144
⇒ 600 – 144 = √? × 24
⇒ √? =
456
24
= 19 ⇒ ? = (19)2 = 361
223. Ans.(d)
Given decimal can be rounded off as
364 – 269 + 50 × 12 ÷ (20% of 80)
⇒ 364 – 269 + 600 ÷ (16)
⇒ 364 – 269 + 37.5 ⇒ 132.5 ≈ 133
224. Ans.(d)
It can be written as
{(19)² – (27)² + (1400 + 60)} ÷ ? = 39
⇒ {361 – 729 + (1460)} ÷ ? = 39
⇒ 1092 ÷ ? = 39
⇒ ? = 1092 ÷ 39
≈ 28
225. Ans.(b)
It can be written as
(22% of 900) + ? + (40% of 310) = 481
⇒ 198 + ? + 124 = 481
⇒ ? = 481 – 198 – 124 = 159
226. Ans.(e)
It can be written as
10% of 650 + 32 × 2800 ÷ 400 - ? = 155
⇒ 65 + 224 – ? = 155
⇒ ? = 134
× 655 = 230
54 × 100
655
= 8.24% ≈ 8%
219. Ans.(a)
40% of 600 – 250 ≈ ? – 80% of 900
⇒ 240 – 250 = ? – 720
⇒ ? = – 10 + 720 = 710
⇒ ?=
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
171
@Crossword2022
227. Ans.(e)
?2 + 114 − 24 × 5 = 163
? = 10
234. Ans.(d)
1
?2 = 163 − 114 + 24 × 5 = 163 + 6
?2 = 169
8 + 9 – 4 = √?2 + 25
⇒ ? = 13
228. Ans.(d)
220
100
× 380 + (36)2 −
?
100
13 = √?2 + 25
?² + 25 = 169
?² = 144
? = 12
235. Ans.(d)
? −5
40
×
× 650 = 65
15−? 100
? −5
× 260 = 65
15−?
? −5
65
=
15−? 260
? −5 1
=
15−? 4
4 × ? – 20 = 15 - ?
4 × ? + ? = 35
5 × ? = 35
?=7
236. Ans.(b)
× 400 = (24)2
836 + 1296– 4 ×? = 576
4 ×? = 2132– 576
?=
1556
4
? = 389
229. Ans.(e)
(39)2 =? +(30)2 − (16)2 +
56
100
× 1400
1521 = ? + 900 – 256 + 784
? = 1521 – 1428
? = 93
230. Ans.(b)
(32)2 + 12 × 16– √2116 – (? )2
= (33)2 − 40
1024 + 192 – 46 – (?)2 = 1089 – 40
1170 – 1049 = (? )2
(? )2 = 121 = 11
231. Ans.(a)
480
?
480
?
480
?
= (9)3 − 15 × 40 −
10
100
1
[(512)3 + (729)3 ] ≈ √?2 + 25 + 4
20
100
30
× 990
100
× 625
× 570
× 342 ≈ ?2 − 13 × 3
125
× 342 =?2 − 39
171
250 + 39 = ?²
?² = 289
? = 17
237. Ans.(c)
= 729 − 600 − 99
= 30
? = 16
232. Ans.(d)
√430 + 520 + √121 = (? )2 + √36
79.98% 𝑜𝑓 ?
√430 + 520 + 11 = (? )2 + 6
(? )? = 31 − 6
(? )2 = 25
?=5
233. Ans.(b)
17 × 19 + (26)² ≈ (?)³ - 1
(18 - 1) × (18 + 1) + 676 = (?)³ - 1
(18)² - 1 + 676 = (?)³ - 1
324 + 676 = (?)³
(?)³ = 1000
= √249.98 × 44.04 + 40% 𝑜𝑓 8499
80% 𝑜𝑓 ? ≃ √250 × 44 +
40 × 8500
100
80
× ? ≃ √11000 + 3400
100
10
⇒? ≃ √14400 ×
⇒
8
⇒ ? ≃ 120 ×
10
8
= 150
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
172
@Crossword2022
50
61
40
1260  100  ?   450
100
100
100
630  671  ? 180
238. Ans.(a)
? × 40.001 ÷ 24.02 × 27.05
593.93
2299
=
×
114.94 263.98
40
594 2300
⇒ ?×
× 27 ≃
×
24
115 264
⇒ ? × 45 ≃ 45
? ~1301 -180 ~ 1121
244. Ans.(d)
112.01% 𝑜𝑓 249.98 +
⇒ ?=1
239. Ans.(d)
+
1
22 × 6−2
= (31.99)2 + (16.01)²
20
⇒
× 40 × √? ≃ 322 + 16²
100
1
⇒ √? ≃ × (1024 + 256)
8
1
⇒ √? ≃ × 1280 ≃ 160
8
⇒ ? = (160)² = 25600
240. Ans.(b)
? + 13.02×49.98 = 420.05+
≈?
112 % of 250 +
19.99% 𝑜𝑓 (40.01 × √? )
44.98
100
? ≈ 280 +
((13.98)2 – 19 × 3.97)
23 × 3
(196–76)
24
((14)2 −19×4)
24
+9≈ ?
+9
? ≈ 280 + 5 + 9
? ≈ 294
245. Ans.(a)
?
√120.98–(2.98)2
= (19.99)2 − (3.99)2 × (5.01)2 +
113.01
?
√121–(3)2
× 799 + 220.10
45
⇒ ? + 13 × 50 ≃ 420 +
× 800 + 220
100
⇒ ? + 650 ≃ 420 + 360 + 220
⇒ ? = 1000 − 650 = 350
241. Ans.(c)
139.98% of 349.99 = ?2 – (14.98)3 ÷ 24.98
140% × 350 ~ ?2 – (15)3÷ 25
?2 – 3375 ÷ 25 ~ 14 × 35
?2 – 135 ~ 490
?2 ~ 490 + 135
? ~ √625
? ~ 25
242. Ans.(b)
350.98 (3.02)2
+
√88.01 × 21.99 +
12.98
4−2
?
≈ 400
11 − 9
– 400 + 113
? ≈ 113 × 2
? ≈ 226
246. Ans.(d)
3
38 × 15 + √216 =
?
100
× 400 + (18)2
570 + 6 = 4 × ? + 324
576 – 324 = 4 × ?
?=
252
4
? = 63
247. Ans.(e)
.
573+?
16
573+?
16
+
38×450
100
− (11)2 = (10)2
+ 171– 121 = 100
573 + ? = 50 × 16
? = 800 – 573
? = 227
248. Ans.(a)
1
=? +(243.01)5
1
351
≈ (20)2 − (4)2 × (5)2 + 113
√88 × 22 + 13 + 32 × 42 = ? + (243)5
48
100
48×?
? ≈ 44 + 27 + (9 × 16) – 3
? ≈ 44 + 27 + 144 – 3 = 212
243. Ans. (c)
×? +√2304 = 18 × 15 +
100
48× ?
100
25
100
× 360
+ 48 = 270 + 90
= 312
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
173
@Crossword2022
?=
312×100
256. Ans.(a)
48
? = 650
249. Ans.(e)
3
√324√20 × 50 × 8 × 20 +
3
√6859× √4096
√64
19×16
√324 × 20 × 20 + 8 ≈?
360 + 8 ≈ ?
? = 368
257. Ans.(e)
60 × 288 (? )2
=
15 × 18
6
(?)² = 2304
(?) ≈ 48
258. Ans.(b)
22 × (3)? × (6)2 = (12)2 × 9
22 × (3)? × 36 = 144 × 9
144 × 9
(3)? =
4 × 36
(3)? = (3)2
?=2
259. Ans.(d)
12.5
37.5
× 512 +
× 96 + 3 × 7 = (? )2
100
100
1
3
⇒ × 512 + × 96 + 21 = (? )2
8
8
⇒ 64 + 36 + 21 = (? )2
⇒ (? )2 = 121
⇒ ? = 11
260. Ans.(c)
= (? )2 + √4
= (? )2 + 2
8
38 – 2 = (? )2
(? )2 = 36 = 6
250. Ans.(c)
14
56 − 34 × + 2
17
3
=
80
?
12 − 51 ×
17
56 − 28 + 2 80
=
=
12 − 9
?
?= 8
251. Ans.(d)
685 – 181 = (42% - 28%)of ?
504 = 14% of
?=
504×100
14
? = 3600
252. Ans. a
103×721[35%×80%×40%35%×20%×30%] = ?
112000
21000
= 721000 [
−
] =?
1000000 1000000
721 × 91 = ?
?= 65611
253. Ans.(c)
3
124
4
100
≈ ×8+
1
(64)4×12 × 16 + 32 × 8 =?× 8
1
× 650 =?
(64)3 × 16 + 256 =?× 8
≈ 6 + 806 =?
≈? = 812
254. Ans.(e)
87 + 914 – 338 ≈
663 × 100
=?
75
? = 884
255. Ans.(b)
25 × 32
≈ ?
100
4 × 16 + 256 = ?× 8
64 + 256 = ? × 8
? = 320 ×
75
× (? )
100
1
8
? = 40
261. Ans.(a)
1
(3375)3 × √21 + 15 × 11
= (? )2 + 29
15 × √36 × 11 = (? )2 + 29
(? )2 = 15 × 6 × 11 − 29
(? )2 = 990 − 29
(? )2 = 961
(? )= 31
75
750 × 70
? % 𝑜𝑓 1050 +
× 420 =
100
100
?% of 1050 = 525 – 315
210
?=
× 100 ≈ 20
1050
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
174
@Crossword2022
272+?
262. Ans.(e)
(4)2
1
2
(? )2
8
(3)3
× (144) ×
×8
=
(2)2
16 × 8
2
16 × 12 × (? )
⇒
= 27 × 2
16 × 8
27 × 2 × 8
⇒ (? )2 =
12
⇒ (?)² = 36
⇒?=6
263. Ans.(c)
√48.97 × 13.05
23.99 × 26.003 +
90.98
= 4.97 ×? ³
√49 × 13
24 × 26 +
= 5 ×?3
91
624 + 1 = 5 × ?³
?=5
264. Ans.(a)
61
109.07√?−
×? = 47.96√?
21.02
61
109√?− 48√? ≈
×?
21
61
61√? =
×?
21
? = 441
265. Ans.(d)
1332.89 + 171.928 + 17.01 + ?² = 1690.67
1333 + 172 + 17 – 1691 ≈ -?²
?² = 169 = 13
266. Ans.(b)
322.9
150.09% 𝑜𝑓 20 +
+ √?
17.02
2
= (8.96)
272+? ≈ 3200
? ≈ 2928
269. Ans.(d)
579 +331 +
727+?
15
727+?
15
≈ 80
3
3
[ √729+√1296 + √3375]
?
[9+36+15]
?≈
?
60
≈ √225
≈ 15
15
?≈4
273. Ans.(d)
1
(1331)3 × 12 +
2
62.5
× 400 − ? ≈ (343)6 × 49
100
1
5
× 400−? = (343)3 × 49
8
⇒ 132 + 250 – ? = 7 × 49
⇒ ? = 382 – 343
⇒ ? = 39
274. Ans.(b)
37.5
60% 𝑜𝑓 1540 +
× 96 + 1 ≈ (? )2
100
3
⇒ 924 + × 96 + 1 = (? )2
8
⇒ (? )2 = 924 + 36 + 1
⇒ (?)² = 961
⇒ ? = 31
⇒ 11 × 12 +
9
100
+ 12– 60 ≈ √1024
√? + 289 – 12 ≈ 300
√? ≈ 300 – 277
√? ≈ 23
? ≈ 529
272. Ans.(a)
84 + 14 – 111 = -13
268. Ans.(a)
125
× 2800
25
1
≈
40
100
√? + (17)2 – 100 × 48 ≈ 50×6
56% of 150 + √28 × 7 − × 999 ≈?
8
×? ≈
? ≈ 1200–727
? ≈ 473
271. Ans.(e)
1
28.02  6.98  11 %998.9  ?
9
272+?
30
100
3×? ≈ (1120–910) × 1 0
3 × ? ≈ 2100
? ≈ 700
270. Ans.(b)
= 30 + 19 + √? = 81
? = 1024
267. Ans.(b)
56.08% of 149.92 +
425×8−
≈ 3400 − 3000
× 2400
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
175
@Crossword2022
275. Ans.(c)
67 + 3 + ? = 52 + 64
? = 46
276. Ans.(e)
16√?+ 69√?− 10√? ≈
281. Ans.(c)
2?
× 500 + 36 = 196
100
2?
× 500 = 160
100
2? = 32
2? = (2)5
?=5
282. Ans.(b)
75
× (? )
34
75
× (? )
34
?
⇒ √? =
34
⇒ √? = 34
⇒ ? = (34)²
⇒ ? = 1156
277. Ans.(a)
9
22
(25)6 +
× 450 ≈ ? +(3 × 2)3
100
75√? =
40
?2 + 439 −
× 900
100
8
=
× 2500
100
?2 + 79 = 200
?2 = 121
?2 = (11)2
? = 11
283. Ans.(b)
14
3
× ( √729 × √121) + (15)2 = ?
99
14 + 225 =?
? = 239
284. Ans.(e)
753+? 21
+
× 4200 + √841 = (31)2
18
100
753+?
+ 882 + 29 = 961
18
753+?
= 961 – 911
18
? = 900 – 753
? = 147
285. Ans.(b)
?
(377 + 539 – 40) +
× 800
100
2
= (30)
876 + 8? = 900
3
(25)2 + 99 =? +(6)3
125 + 99 = ? + 216
? = 224 – 216
?=8
278. Ans.(b)
?
19
× 225 +
× 700
100
100
= 256 −
?
100
?
100
?=
30
100
× 290
× 225 = 169 − 133
× 225 = 36
3600
225
? = 16
279. Ans.(d)
?3 + 324 =
60
100
× 900
?3 = 540 – 324
?3 = 216
?3 = (6)3
?=6
280. Ans.(a)
87 ×8
?
+
8
100
?=
(900–876)
8
=3
286. Ans.(d)
37
× 6600 + 169 – ? = (50)2
100
2442 + 169 – ? = 2500
× 1150 = 324
87 × 8
= 324 − 92
?
696
?=
? = 2611 – 2500
232
? = 111
?=3
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
176
@Crossword2022
287. Ans.(e)
18 × 25 –
450 –
294. Ans.(c)
1
4
1
1
5 +3 −7 −2
3
9
2
4
2
1
1
= ? − 16 + 11 − 5
9
4
2
?
15
+
× 300 = (22)2
15 100
?
+ 45 = 484
15
?
= 495 – 484
15
? = 165
1 4 1 1
2 1 1
?   5  3  7  2       16  11  5    
3 9 2 4
9 4 2
288. Ans.(d)
43.5 ×
64.02
31.99
64
1
32
×
29
×
1
28.979
√1296 + (2744)3 = ? − √961
?² = 36 + 14 + 31 = 81
−2≈ ?
?=9
289.Ans. (b)
296. Ans.(d)
63% of 450 + 81% of 150 = ? % of 675
2
50
 249  4  6  ?   300
3
100
283.5 + 121.5 = ?% × 675
405
166  24  ? 150
675
× 100 = ? ⇒ ? = 60
297. Ans.(c)
?  640
205 × ? × 13 = 33625 + 25005
58630
?=
= 22
205 × 13
298. Ans.(a)
3 4 9
× ×
× 4312 =?× 7
8 7 11
1 3 1 9
⇒ ? = 4312 × × × ×
7 2 7 11
? = 108
299. Ans.(a)
120
?
× 1250 +
× 625 ≃ 3375
100
100
?
× 625 = 1875 = 300
? =1600
290. Ans.(b)
(33.33×80.989÷99.99)+3.024-? =4.012
99.99
2
1
− 2.012 = ?
? ≈1
33.33
1
2
295. Ans.(e)
43.495 ×
(
1
=9+ =9
× 81) + 3 − ? ≈ 4
? = 26
291. Ans.(a)
20.021+4.969+30.499-50.022=?
20+5+30.5-50 ≈ ?
?≈5.5
292. Ans.(c)
100
995.013-39.976×19.99+5.022
300. Ans.(d)
20 × 33 + √64 × 10 ≃ 20 × √?
=1.988×?
995-40×20+5=2×?
?≈100
660 + 80 ≃ 20 × √?
740
= 37
√? ≃
20
? = 1369
301. Ans.(c)
2900
+ 20 + (? )2 ≃ 94
290
(? )2 = 94 – 30 = √64 = 8
293. Ans.(e)
(10.011)2 + (23.989)2
= 275.99 + (? )2
102 + 242 = 276 + ?2
? = 20
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
177
@Crossword2022
302. Ans.(d)
30
82
× 700 – 350 +
× 500 ≃?
100
100
210 – 350 + 410 ≃ ?
? = 620 – 350
? = 270
303. Ans.(e)
1520 + 180 × 20 + ? ≃ (2)⁹ × 10
1520 + 3600 + ? ≃ 5120
?=0
304. Ans.(a)
33.989 ×
34 ×
4
17
4.01
17.02
1
×
1
3.99
310. Ans.(d)
311. Ans.(b)
− 2.012 = ?
× −2 ≈ ?
312. Ans.(b)
4
? ≈0
305. Ans.(d)
1
(11.01 + 12.97) ×
+ 5.956 = 18 − ?
7.99
1
(11 + 13) × + 6 ≈ 18 − ?
8
?= 9
306. Ans.(a)
313. Ans.(e)
119.022 + 40.99 + 9.03 = ?2
119 + 41 + 9 ≈?2
? = 13
307. Ans.(c)
58.99 + 52.11 − 47.94 + ?
314. Ans.(d)
= 85.96
59 + 52 − 48 + ? ≈ 86
? = 86 − 63 ≈ 23
308. Ans.(e)
(14.96)2 + (5.011)3 + 50.02 = ?3
315. Ans.(b)
152 + 53 + 50 = ?2
225 + 125 + 50 = ?2
?2 ≈ 400
? = 20
316. Ans.(c)
309. Ans.(b)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
178
@Crossword2022
317. Ans.(d)
⇒ 6 + 1/13 of {2600 ÷ 10} = ?
⇒ 6 + 1/13 of 260 = ?
⇒ 6 + 20 = ?
∴ ? = 26
323. Ans.(d)
Given expression is
[(22.9 × 1.922 × 23.92 )] ÷ (2.02 ×
√1295.96) = (2.93)? + 6.97
[(23 × 22 × 242 )] ÷ (2 × √1296) = (3)? + 7
⇒ (23 × 4 × 576) / (2×36) = 7 + (3)? [∵
√1296 = 36]
⇒ (23 × 32) = 7 + (3)?
⇒ 736 = 7 + (3)?
⇒ 729 = (3)?
318. Ans.(a)
319. Ans.(e)
Given expression is
? % of 299.99 + 54.95% of 239.94
= 18.99% of 899.99
⇒ ? % of 300 + 55% of 240
= 19% of 900
⇒ 3 × ? + 24 × 5.5 = 171
⇒ 3 × ? + 132 = 171
⇒ 3 × ? = 39
⇒ ? = 13
320. Ans.(b)
818.88 ÷ 62.93 + 18.9 × 21.9
= 34.95 × 19.92 - ?
⇒ 819 ÷ 63 + 19 × 22 = 35 × 20 - ?
⇒ 13 + 19 × 22 = 35 × 20 - ?
⇒ 13 + 418 = 35 × 20 - ?
⇒ 13 + 418 = 700 - ?
⇒ 431 = 700 - ?
⇒ ? = 700 – 431
⇒ ? = 269
321. Ans.(c)
Given expression is
2.99 × (9.99 + 4.95) + (48.04/5.99)/3.94 –
6.97 = ?
3 × (10 + 5) + (48/6) / 4-7
= 3 × (15) + (48/6) / 4-7
= 45 + (8) / 4 - 7= 45 + 2 – 7
= 47 - 7
= 40
322. Ans.(b)
Given expression is
5.94 + 1/12.93 of {2599.96 ÷(117.98 –
107.98)} = ?
6 + 1/13 of {2600 ÷ (118 – 108)} = ?
⇒ (3)6 = (3)?
∴?=6
324. Ans.(a)
52.034 ≈ 52, 617.121 ≈ 617 and 32.004 ≈ 32
576.71 ≈ 577 and 68.284 ≈ 68
Then,
⇒ 52 + 617 + 32 = ? + 577 + 68
⇒ 701 = ? + 645
⇒ ? ≈ 56
325. Ans.(b)
50
⇒(
× 51800) ÷?
100
=(
160
100
2
× 10.01) × 2.01
⇒ 25900 ÷ ? = 256 ×2
⇒ 25900 ÷? = 512
⇒? = 50.6
⇒? ≈ 50
326. Ans. (c)
Given expression becomes,
⇒ 24 + 24 – 12 = 34 × 4 - ?2
⇒ 24 + 24 – 12 = 136 - ?2
⇒ 48 – 12 = 136 - ?2
⇒ 36 = 136 - ?2
⇒ ?2 = 100
⇒ ? ≈ 10
327. Ans.(c)
(63.95 + ?) ÷ 25.02 + 390.09 + 19.97% of
724.87 = 540.07
⇒ (64 + ?) ÷ 25 + 390 + 20% of 725 = 540
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
179
@Crossword2022
⇒ (64 + ?) ÷ 25 + 390 + 145 = 540
⇒ (64 + ?) ÷ 25 = 540 - 390 - 145
⇒ (64 + ?) ÷ 25 = 5
⇒ (64 + ?) = 125
⇒ ? = 61
328. Ans.(b)
14.99% of 115.95 × 18.892% of 179.77 = (?)
– 372
Approximating the values to the nearest
integer:
⇒ 15% of 116 × 19% of 180 = (?) – 372
⇒ (?) = 17.4 × 34.2 + 1369
⇒ (?) = 595.08 + 1369
⇒ (?) = 1964
329. Ans.(d)
22
41.979 ×
+ 19.989% of 530.14 − 26.021 = ?
7
22
42 ×
+ 20% of 530 – 26 ≈ ?
7
? ≈ 132 + 106 − 26 ≈ 212
330. Ans.(c)
(23.012 × 22.989) + 20.985 × 7.014 = ?2
(23 × 23) + 21 × 7 ≈ ?2
?2 ≈ 529 + 147 ≈ 676
? = 26
331. Ans.(a)
√1444 ÷ 19 + 3.2 × √16 = ?
38
19
+ 3.5 × 4
? = 2 + 14 = 16
332. Ans.(e)
779.98÷ 48.014 × 15.989 =?
780
48
?=
× 16 = ?
780
3
?=
25
1
3 800
 320  168  
100
3
8 3
=
80  56 100
=
36
?=6
339. Ans. (d)
65% of 1200 – 15% of 400 = ?3 × 45% of 200
0.65 × 1200 – 0.15 × 400 = ?3 × 0.45 × 200
(780 – 60)/90 = ?3
?3 = 8
?=2
340. Ans. (c)
35% of 5000 – 322 + 3 = ?
0.35 × 5000 – 1024 + 3 = ?
1750 – 1024 + 3 = ?
? = 729
341. Ans. (a)
20% of 5000 – 25% of 3000 = ? × 52
0.20 × 5000 – 0.25 × 3000= ? × 25
1000 – 750 = ? × 25
? = 250/25 = 10
√1443.979 ÷ 18.981 + 3.2 × √16.017 = (? )
?=
Dividing by 11
67 × 3 + 33 × 2 + 33 = ?
3 × (67 + 22 + 11) = ?
? = 3 × 100
? = 300
335. Ans.(d)
? × 32 – 25% of (480 × 128) = 0
? × 32 – 0.25 × 480 × 128 = 0
? × 32 – 120 × 128 = 0
? = 480
336. Ans. (c)
93 × (8910 ÷ 110) = (14580 ÷ 20) × ?
729 × 81 = 729 × ?
? = 81
337. Ans. (b)
262 + 113 - √49 = 2 × ?3
676 + 1331 – 7 = 2 × ?3
2000 = 2 × ?3
? = 10
338. Ans.(d)
≈ 260
333. Ans. (b)
1485.988 + 212.04 − 1703.99 = ? −(11.02)2
1486 + 212 − 1704 ≈? − (11)2
? ≈ 1698 − 1704 + 121
≈ 115
334. Ans.(b)
737 × 3 + 363 × 2 + 11 × 33 = ? × 11
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
180
@Crossword2022
342. Ans. (a)
16 × 15 – 240 – 32 × 10 + 420 = ?2
240 – 240 – 320 + 420 = ?2
-320 + 420 = ?2
? = 10
343. Ans. (e)
65% of 200 – 26% of 500 = ?
0.65 × 200 – 0.26 × 500 = ?
? = 130 – 130
?=0
344. Ans. (a)
45% of 1500 – 2 × 52= ?2
0.45 × 1500 – 2 × 25 = ?2
675 – 50= ?2
? = 25
345. Ans. (c)
(32 × 25) – 202 = 20% of ?
(800 – 400) × 5 = ?
? = 2000
346. Ans. (e)
22% of 5000 + 14% of 400 = ?2
0.22 × 5000 + 0.14 × 400 = ?2
1100 + 56 = ?2
? = 34
347. Ans.(b)
18 × 4 × (135 ÷ 27) – (15 × 4) ~ ?
72 × 5 – 60 ~ ?
? ~ 360 – 60
? ~ 300
351. Ans. (b)
30.01 × √1023 + 196 = ?2 – 287
30 × √1024 + 196 ~ ?2 - 287
30 × 32 + 196 ~ ?2 - 287
960 + 196 + 287 ~ ?2
?2 ~ 1443
?2 ~ 1444
? ~ 38
352. Ans. (d)
35.1% of 1599 = ?–(449.96 ÷ 6.12) × 2
35% of 1600 ~ ?–(450 ÷ 6)× 2
560 ~ ? - 75 × 2
560 ~ ? - 150
560 + 150 ~ ?
? ~ 710 ~ 700
353. Ans. (c)
16.12 × 15.94 + 654.92 – 344.83 = ? × 5.95
16 × 16 + 655 – 345 ~ ?× 6
256 + 655 – 345 ~ ?× 6
911 – 345 ~ ?× 6
566/6 ~ ?
? ~ 94.3 ~ 90
354. Ans.(b)
? ≃ 21 + 5 × 8 + 10
≃ 71
355. Ans.(c)
73 – 132 – ? = 25% of 120
343 – 169 – 0.25 × 120= ?
174 – 30 = 144
348. Ans.(d)
80% of 2500 - ?% of 2500 = 103
(0.80 × 2500 – 1000) ÷ 25 = ?
? = (2000 – 1000) ÷ 25
? = 40
349. Ans. (e)
41.97 × 5.12 ÷ 2.99 + 49.89 = ? × 1.99
42 × 5 ÷ 3 + 50 ~ ?× 2
70 + 50 ~ ?× 2
120/2 ~ ?
? ~ 60
350. Ans. (a)
18.003 × 3.99 × (135.003 ÷ 26.97) –
(15.001 × 3.94) = ?
? ≃ 1.38 × 3780 +
39
100
× 140
≃ 5,271
356. Ans.(b)
?≃
340×10
6.4
+ 1245
≃ 1776.25
≃ 1776
357. Ans.(e)
322 − 122 +
⇒? ≃
2009
?
≃ 900
2009
20
⇒ ? ≃ 100
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
181
@Crossword2022
358. Ans.(b)
371. Ans.(b)
1575
?≃
45
+ 24 × 16
? ≃ 32 + 625 –
≃ 419
≃ 420
359. Ans.(a)
576 1 400 900
?=
× ×
×
= 1620
16 5 40
40
360. Ans.(c)
? = 68 × 14 − 14 × 13 = 770
361. Ans.(d)
? = 5467 − 3245 + 1123 − 2310
= 1035
362. Ans.(c)
? = 40 × 6 − 250 + 700 = 690
363. Ans.(b)
=
54000×30
60×40
≃ 337
372. Ans.(d)
450
6
?≃
100
4
11
= 675
350
× 800 ≃ 1000
∴ ?≈ 5
+ 34 – 75
375. Ans.(c)
× 260 –
18% of 256 + 35% of 290 – 15% of 385 = ?
18
35
15
𝑜𝑟, ? ≈
× 260 +
× 300 −
× 400
100
100
100
= 46.8 + 105-60 = 151.8 – 60
= 91.8 ≈ 90
376. Ans.(a)
30
100
?≃
× 530
5
35
4
20
× ×
69
100
𝑜𝑓 700 +
33
100
𝑜𝑓 400
= 483 + 132 ≃ 615 (𝑎𝑝𝑝𝑟𝑜𝑥. )
377. Ans.(e)
× 1331 ÷ 22 + 6 ? ≃ 28
24
75
100
1
⇒
368. Ans.(e)
?≃
+
36.013 × 40962 × 37.992 ÷ (93 × 75.982 ) = 4?
363 × √4096 × 382
𝑜𝑟, 4? ≈
93 × 762
43 × 93 × 43 × 38 × 38 43 × 43
≈
≈
93 × 76 × 76
2×2
𝑜𝑟, 4? ≈ 43 × 42 = 45
≃ 182 – 159 ≃ 23
367. Ans.(c)
?≃
8
373. Ans.(c)
(28) ² – (22) ² + 2500 ÷ ? = 350
2500
⇒?=
⇒ ? = 50
50
374. Ans.(c)
≃ 75 + 81 – 75
≃ 81
365. Ans.(c)
861
? ≃ 12 ×
– 58
84
? ≃ 65
366. Ans.(b)
70
3194
?≃
364. Ans.(b)
?≃
480 × 26
39
30
100
× 780 +
43
100
× 800 = 528+ ?
⇒ 234 + 344 = 528+ ?
+ 500
? = 578 − 528 = 50
≃ 500.15
≃ 500
369. Ans.(c)
? ≃ 13 × 22 × 18
≃ 5148
370. Ans.(a)
18
28
?≃
× 600 +
× 450
100
100
≃ 234
378. Ans.(c)
39.98% of 449.99 = √?+ 49.98% × 329.97
√? ~40% × 450 – 50% × 330
√? ~ 180 – 165
? ~ 152 ~ 225
379. Ans.(c)
1
1
1
(961)2 × (2744)3 + 13 × (36)2 =
(? )3
+ (16)2
2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
182
@Crossword2022
(? )3
+ 256
2
31 × 14 + 13 × 6 =
434 + 78 – 256 =
388. Ans.(e)
1
× 850+? = 951
5
⇒632 + 170 +? = 951
∴ ? ≈ 150
389. Ans.(d)
1884 ÷ 144.89 + 6.99 + (? )2 = 69.09
≈ 13 + 7 + (? )2 = 69.09
≈?2 = 69 − 20 = 49
∴ ? = √49 = 7
390. Ans.(c)
√12000 × 34.98 + 150.04 =?
≈ 110 × 35 + 150 = 4000
391. Ans.(a)
0.2% of 356 × 0.8% of 779
= 0.712 × 6.232 = 0.7 × 6
≈ 4.2 ≃ 4
392. Ans.(b)
≈ 63.9% of 8920 +? % of 5320 = 6830
≈ 5320 ×? = (6830 − 5709) × 100
? ≈ 21
393. Ans.(c)
158 × 4 +
(?)3
2
(? )3 = 512 = 8
380. Ans.(e)
713 + 87 + 26 × 40 = 23 ×?
800 + 1040 = 23 ×?
?=
1840
23
? = 80
381. Ans.(a)
12 × 11 (? )2 − (3)2 × 53
=
3
11
4 × 121 = (?)² – 9 × 53
(?)² = 484 + 477
(?)² = 961
? = 31
382. Ans.(c)
1
(? +13)(? −13) = 15 × (512)3
(? )2 − (13)2 = 15 × 8
(?)² – 169 = 120
(?)² = 289 = 17
383. Ans.(a)
512 × 256 2
(
) = (64)?
8 × 32
(512)2 = (8)2×?
(8)? = 512
(8)? = (8)3
? =3
384. Ans.(a)
1
4
≈
4
= 6095 + 1320 = 7415
387. Ans.(e)
= 36+?
⇒ 61 = 36 +?
50
100
= 50 + 162
⇒ ? = 424
396. Ans.(e)
? = 1+2+3-6
?=6–6
=0
397. Ans.(d)
45
35
?=
× 600 +
× 300
100
100
? = 270+105 = 375
398. Ans.(e)
× 4875 + 88 × 15 = 5 × 1219 + 1320
5
of 3410
3
?×
+ 187 × 20 ≈ 30 + 3740 ≈ 3770
39×15−28×10
7
10
2
386. Ans.(e)
5
of 4012 +
50% 𝑜𝑓 ? − 𝑜𝑓 243 = 50
= 711 + 36000
≈ 36710
385. Ans.(b)
36
8
≈ 2507 + 2387
= 4894 ≈ 4890
394. Ans.(a)
? = 5145+3450-4560
? = 4035
395. Ans.(b)
× 2844 + 15 × 2400
1080
5
√441 ÷ 3 + √? = 47
21
∴ ? = 25
√? = 47 − 3 = 40 ⇒ ? = 1600
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
183
@Crossword2022
399. Ans.(b)
? = 134+1334+14
? = 1482
400. Ans.(a)
2
3
? = × 35 + × 490 = 224
5
7
401. Ans.(b)
408. Ans.(d)
340
20
√121 × 100 × 324 =?
? = 11 × 10 × 18 = 1980
402. Ans.(c)
(0.6 − 0.4)(0.62 + 0.6 × 0.4 + 0.42 )
?=
× 10
(0.62 + 0.6 × 0.4 + 0.42 )
? = 0.2 × 10
?=2
403. Ans.(d)
?
𝑜𝑓 300 – 490 = 510
3
510 + 490
?=
100
? = 10
404. Ans.(c)
? – 24.98% of 2199.99 = 179.99% of 19.98 +
239.98 ÷ 29.99
? – 0.25 × 2200 ~ 180 × 20% + 240 ÷ 30
? ~ 550 + 36 + 8
? ~ 594
405. Ans.(b)
?2 – 2499.98% of 23.98 + (14.98)2 = (34.99)2
?2 – 2500% × 24 = (35)2 – (15)2
?2 – 600 ~ (35 + 15) (35 – 15)
?2 = 50 × 20 + 600
?2 = 1000 + 600
? = √1600 = 40
406. Ans.(c)
(400.01% of 149.99) / 49.97 = ?2 / (95.98 / 31.99)
?2 / (96 / 32) ~ (400% × 150) / 50
?2 / 3 ~ 600 / 50
?2 ~ 12 × 3
? ~ √36
?~6
407. Ans.(c)
180
100
1
× 25,500 + (29,000)
= 45,900 + 14,500 = 60,400
510
×
180
60
= 17 × 17 × 3
= 867 ≈ 870
409. Ans.(d)
? ≃ (14725 + 1000) ÷ (500 + 930 + 660)
≃ 7.5
410. Ans.(a)
? ≃ 182 × 22 × 34
≃ 136136
411. Ans.(b)
? × 53.25 ≃ 6828 – 5712
1116
?≃
53
≃ 21
412. Ans.(c)
40
75
?≃
× 600 + 250 +
× 912
100
100
≃ 1174
413. Ans.(b)
20
10
?≃
× 600 +
× 900
100
100
≃ 120 + 90 ≃ 210
414. Ans.(b)
√289.19 × 2.08 ÷ 10.97
≈
17×2
11
=
34
11
≈3
415. Ans.(d)
1884 ÷ 144.89 + 6.99 + (? )2 = 69.09
⇒ 13 + 7 + (? )2 ≃ 69.09
⇒ ?2 ≃ 69 − 20 ≃ 49
∴ ? = √49 = 7
416. Ans.(c)
√12102 × 34.98 + 150.04 =?
≈ 110 × 35 + 150 = 4000
417. Ans.(b)
1010
36
+ 187 × 20 ≈ 28 + 3740 ≃ 3768 ≈ 3770
418. Ans.(c)
(3.2)2 + (9.8)2 + (8.13)2 + (4.24)2
≈ 9 + 100 + 64 + 16
≈ 190
419. Ans.(b)
3
14
8
2
[( ×
2
30
÷
2
21
) ÷ (2.5 − 0.8)] = [
8
2
÷ 1.7]
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
184
@Crossword2022
=(
2.625 2
1.7
430. Ans.(a)
) ≈ (1.5)2 ≈ 2.4
?–√121
420. Ans.(e)
2418.065 + 88 ÷ 14.2 × 6
≈ 2418 + 6 × 6
= 2454 ≈ 2455
421. Ans.(d)
564.866 + 82.1091 × 44.881 − 34.111
≈ 565 + 3690 − 34
≃ 4220
422. Ans.(c)
3
√64001 + (46.85)2
≈ 40 + 472
= 2209 + 40
≈ 2250
423. Ans.(e)
? – 19.98% of 1799.99 = 479.99% of 39.98 +
169.98 ÷ 9.99
? – 0.2 × 1800 ~ 480 × 40% + 170 ÷ 10
? ~ 360 + 192 + 17
? ~ 569
424. Ans.(b)
≈ 63.5% of 8920 + ? % of 5320 = 6830
≈ 5320 ×? = (6830 − 5664) × 100
? ≈ 22
425. Ans.(c)
≈
5
8
of 4012 +
7
32
1921
√289
808
225% 𝑜𝑓 44 +
7
8
– 102 =?2
⇒ ? ² = 99 + 101 – 100
? ² = 100
? = 10
432. Ans.(c)
3
3 𝑜𝑓 260 = ? % 𝑜𝑓 1248
5
18
5
× 260 =? % 𝑜𝑓 1248
? % of 1248 = 936
? = 75
433. Ans.(e)
5250
26 ×
+ √576 = ?
350
? = 26 × 15 + 24 = 414
434. Ans.(b)
? ≃ 11² + 16² – 14²
≃ 121 + 256 – 196
≃ 181
435. Ans.(c)
?
100
× 200 =
36
100
× 225 +
42
100
× 400
? × 2 = 81 + 168
? = 124.5
436. Ans.(a)
? ≃ 193 + 300 + 4000 ÷ 8 – 500
≃ 493
437. Ans.(e)
≈ 2507 + 2387 = 4894 ≈ 4890
426. Ans.(a)
8787 ÷ 343 × √50
≈ 25.6 × √49
= 179.2 ≈ 180
427. Ans.(d)
√1296 × (303 ÷ 8) = (? )2
⇒ 37 × 37 ≃?2
⇒ ? ≃ 37
428. Ans.(b)
5940 ÷ 28 ÷ 6 = 35.35 ≈ 35
429. Ans.(c)
172 + 11 × 28 –
19×21
⇒ ? – 11 = (36 + 57) × 9
? = 848
431. Ans.(b)
of 3410
10
= 32 × 22 +
?
100
× 10 ≃
24
100
× 50 +
44
100
× 150
? ≃ (12 + 66) × 10 =780
438. Ans.(d)
? ≃ 11 + 42 + 32 – 28
≃ 57
439. Ans.(b)
57 × 36
?≃
19
? ≃ 108
440. Ans.(a)
24.99% of 359.98 + 199.98% of 35.01
=?
289 + 308 – 113 =?
? = 484
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
185
@Crossword2022
= ?% of 799.98
?% of 800 ~ 25% × 360 + 200% × 35
? × 8 ~ 90 + 70
? × 8 ~ 160
? ~ 20
441. Ans.(b)
250 300 100
?≃
×
×
15
20
15
5000
?≃
3
? ≃ 1667
442. Ans.(e)
1200
?≃
× 20 + 400
15
? ≃ 2000
443. Ans.(a)
40
?
× 440 +
× 655 ≃ 228.5
100
100
⇒ 176 + 6.55? ≃ 228.5 ⇒? ≃ 8
444. Ans.(d)
√? ≃ (1347 + 53) ÷ 100 − 7
449. Ans.(a)
≈ [4800 − (120)] × 2.5 = 11700
450. Ans.(b)
? ≃ 4 × 35 + 6 × 25
290
451. Ans.(d)
≈ 129 + 45 + 77 ≈ 251
452. Ans.(a)
74.99% of 639.98 – 399.98% of 24.01
= ?% of 1599.99
?% of 1600 ~ 75% × 640 – 400% × 24
? × 16 ~ 480 – 96
? × 16 ~ 384
? ~ 384/16
? ~ 24
453. Ans.(a)
≈ 9 + 100 + 64 + 16 ≈ 190
454. Ans.(d)
? ≃ 8600 ÷ 420 × 15
≃ 307
455. Ans.(c)
√2703 - √1156 + √483 = ?
52 – 34 + 22 =?
? = 40
456. Ans.(d)
3000 × 750
?≃
– 1400
1000
≃ 850
457. Ans.(a)
150
?≃
× 150 + 150
100
≃ 375
458. Ans.(c)
990 870 515
?≃
×
×
34
65 207
≃ 970
459. Ans.(e)
? ≃ 32² + 24² – 17²
≃ 1024 + 576 – 289
≃ 1311
460. Ans.(e)
? ≃ 6895 + 5025 +600 ≃ 12,520
461. Ans.(b)
? ≃ 32 × 12 × 17.5 ≃ 6720
⇒ √? ≃ 14 − 7
⇒ √? ≃ 7
⇒ ? ≃ 49
445. Ans.(e)
2? ≃ 322 × 8 × 342 ÷ (29 × 172 )
215 × 172
≃ 9
2 × 172
?
2 ≃ 26
⇒? ≃ 6
446. Ans.(e)
2
15
60
(
× 4800) ÷? ≃ (
× 4)
100
100
72,000
⇒? ≃
24 × 24
⇒? ≃ 125
447. Ans.(a)
3
× 240 ≃?÷ (2 × 1)
20
⇒? ≃ 72
448. Ans.(a)
?≃
36
9
× 10 + 40
≃ 40+40
? ≃ 80
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
186
@Crossword2022
462. Ans.(c)
? ≃ 12 × 22 × 18
≃ 4752
463. Ans.(c)
? ≃ 17 + 27 + 37 – 13 – 9
≃ 59 ≃ 60
464. Ans.(e)
40
60
?≃
× 405 +
× 610 – 184
100
100
≃ 344
465. Ans.(a)
5682 × 36
?≃
63 × 18
≃ 180
466. Ans.(c)
? ≃ 5 × 13 + 600≃ 665
467. Ans.(a)
? ≃ 370
468. Ans.(b)
340 47 119
≃
×
×
≃ 1.2
34 510 94
469. Ans.(b)
? ≈ 400 ÷ 8 × 12 + 245 – 190
≃ 655
470. Ans.(c)
4
48
52
𝑜𝑓 ? ≃
× 450 +
× 440
5
100
100
? ≃ 556
471. Ans.(d)
? ≃ 12 + 26 + 6 – 11 ≃ 33
472. Ans.(a)
43
57
?≃
× 800 +
× 900
100
100
≃ 857
473. Ans.(d)
115
84
?≃
× 560 +
× 420
100
100
≃ 997
474. Ans.(b)
? ≃ 8349 + 654 + 35.45 – 6450
≃ 2588
475. Ans.(c)
3 4
4 3
? ≃ × × 700 – × × 198
5 7
9 4
≃ 240 – 66
≃ 174
476. Ans.(d)
?
64
49
≃
× 750 –
× 400
10 100
100
⇒ ? ≃ 2840
477. Ans.(a)
24
30
?≃
× 260 +
× 710 – 280
100
100
≃–5
478. Ans.(c)
? ≃ 4650 ÷ 100 + 3750 ÷ 10 – 3660 ÷ 40
≃ 330
479. Ans.(d)
7430
≃
× 10
300
? ≃ 247.66
? ≃ 248
480. Ans.(b)
15
13
≃
× 725 +
× 643
100
100
? ≃ 192.34
? ≃ 192
481. Ans.(b)
? ≃ (36)2 − (21)2
? ≃ 15 × 57
? ≃ 855
482. Ans.(e)
3
? ≃ √729 × √484
≃ 9 × 22 ≃ 198
483. Ans.(a)
496
?≃
× 0.5
0.6
? ≃ 413.33
? ≃ 413
484. Ans.(c)
150 200 91
?≃
×
×
17
13 16
? ≃ 772.05
? ≃ 770
485. Ans.(a)
? ≃ 151 – 420 + 650
? ≃ 381
In options, the nearest value is 380
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
187
@Crossword2022
252 × 162 × 39
8 × 15 × 130
125 × 16
⇒ ?² =
5
⇒ ? ² = (5 × 4)² ⇒ ? ² = 202 ⇒ ? = 20
496. Ans.(e)
72
35
?
× 1200 +
× 270 =
× 600
100
100
100
⇒ ? = 159.75 ⇒ ? ≃ 160
497. Ans.(c)
88
?
× 450 ≃
× 530
100
100
⇒ ? ≃ 74.716 ⇒ ? ≃ 75
498. Ans.(a)
√899 × (12.005) ² + ? = 5000
⇒ 30 ×12² + ? =5000
⇒ ? = 680
499. Ans.(b)
? ≃ 8538 − 2416 − 222
≃ 5900
500. Ans.(c)
486. Ans.(a)
? ≃ 1300 ÷ 20 × 25 + 400
? ≃ 2025
487. Ans.(c)
? ≃ √5184 ÷ √36
? ≃ 72 ÷ 6
? ≃ 12
488. Ans.(e)
? ≃ 48 × 35 ÷ 3
? ≃ 560
489. Ans.(d)
? = √9026 × (5.96)2
≃ 95 × 62
? ≃ 3420
490. Ans.(a)
4734.96 – 3454.03 – 1612.86 =? – 1611.43
⇒ ? ≃ 4735 – 3454 – 1613 + 1611
? ≃ 1279
? ≃ 1280
491. Ans.(e)
323 971 56
?=
×
×
55 251 61
325 970 55
≃
×
×
55 250 60
1261
≃
⇒ ? ≃ 21
60
492. Ans.(c)
? ≃ 133 × 3 − 112 + 74
≃ 399 − 38
? ≃ 361
The nearest value to 361 in the options is 360
493. Ans.(b)
? ≃ 32 × 2800 ÷ 550 + 120
?≃ 32 ×
280
55
⇒?2 =
?≃
1020
60
≃ 17
501. Ans.(d)
? = 9.09 ≃ 9
502. Ans.(a)
? ≃ 16 × 31 × 9
≃ 4464
503. Ans.(c)
?×
530
100
≃
88
100
× 450
? ≃ 75
504. Ans.(a)
?– 12.5% of 647.99 = 24.98% × 363.97
?~(1/8) × 648 + 25% × 364
?~ 81 + 91
? ~ 172
505. Ans.(b)
+ 120
?≃32 × 5 + 120
?≃ 280
494. Ans.(a)
160
2775 ×
√? = 5550
√? = 80
⇒? = 6400
495. Ans.(e)
162
252 ×
× 39 = 130 ×? ²
8 × 15
≈
75
100
× 256 +
≈ 192 +
≈
40
√𝑥
40
√𝑥
40
√𝑥
=
48
100
× 650
= 312
= 120
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
188
@Crossword2022
≈𝑥=(
40
120
2
) ≈𝑥=
≈ 2230
513. Ans.(b)
≈ 65% of 8920 + ? % of 5320
= 6830
≈ 5320 ×? = (6830 − 5798) × 100
? ≈ 20
1
9
506. Ans.(a)
𝑥
1
255
8
5
2
≈ 294 × − × 120𝑥 =
≈ 36.75𝑥 − 24𝑥 = 127.5
≈ 12.75𝑥 = 127.5 ≈ 𝑥 = 10
507. Ans.(d)
33.33% of 110.99 = 19.98% of 244.97 – √?
√? ~ 20% of 245 – (1/3) × 111
√?~ 49 – 37
√?~ 12
? ~ 122
? ~ 144
508. Ans.(a)
49.99% of 539.99 + 263.98% of 49.99 = ?% of
1608.01
?% of 1608 ~ 50% of 540 + 264% × 50
?% × 1608 ~ 270 + 132
? ~ (402 × 100)/1608
? ~ 25
509. Ans.(c)
71.99% of 399.99 + 399.98% of 39.98
= ?2 – (5.98)2
72% × 400 + 400% × 40 ~ ?2 – 36
?2 ~ 288 + 160 + 36
? ~ √484 ~ 22
510. Ans.(b)
(3.2)2 + (9.8)2 + (8.13)2 + (4.24)2
≃ 32 + 102 + 82 + 42
≈ 9 + 100 + 64 + 16
≈ 190
511. Ans.(d)
323.996 + 236.05 – 15 × ? = 24.99% of 640
324 + 236 – 15 × ? ~ 160
560 – 15 × ? ~ 160
15 × ? = 560 – 160
15 × ? ~ 400
? ~ 26.66
? ~ 27
512. Ans.(c)
3
√13824 + (47)2
≈ 24 + 472 = 2209 + 24
514. Ans. (c) 550 
62
4
 840  ?
100
100
18.5+520.8~ 0.04×?
702~0.04×?
? ~ 17,550
Nearest value 17557
515. Ans.(a)
4
5
× ? ≃ √3 × 51 + 30 × 3 + 367
5
≃ 3 + 367
370 × 5
⇒? ≃
4
? ≃ 462.5
516. Ans.(d)
? ≃ 14,869
517. Ans.(e)
3 238
46
?≃ ×
× 388 +
× 445
7 291
100
≃ 136 + 204.7
≃ 341
518. Ans.(b)
88
14
?≃
× 550 +
× 850
100
100
≃ 603 ≃ 600
519. Ans.(d)
448 ÷ 28 × 5 = 16 × 5 = 80
520. Ans.(d)
1680 ÷ 15 × 5
= 112 × 5 = 560
521. Ans.(d)
5238 − 6630 + 7154 − 2205
= 12392 − 8835 = 3557
≈ 3558
522. Ans.(e)
460×850
100
+ 2.665 × 6284 − 1486
= 3910 − 1486 + 2.66 × 6284
≈ 19140
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
189
@Crossword2022
523. Ans.(d)
(9321 + 5406 + 1001) ÷ (498 + 929 + 660)
= 15728 ÷ 2087 ≈ 7.5
524. Ans.(b)
? ≃ 13 × 7 + 852 × 11
≃ 79566
525. Ans.(c)
? 433 − 269 ÷ (
≃ 433 −
12
100
533. Ans.(a)
?≈
900
45
× 75)
269
9
+ 224
≃ 244
527. Ans.(a)
2425
?
≃ 229 + 142 − 182
≃ 101 ⇒ ? ≃ 24
528. Ans.(c)
? ≃ 45 −
40
100
×
100
− 231 +
23×790
100
≈ 536 − 231 + 181.7
≈ 490
534. Ans.(b)
45.96×29.98+167.98×1/3.98 × 1/1.92 –
120.99 = ?
⇒ 46 × 30 + 168 × 1/4 × 1/2 – 121 = ?
⇒ 1380 + 21 – 121 = ?
⇒?
= 1280
535. Ans.(d)
Given expression is
[(6.973 × 7.073) / (7.172 × 6.94)3] ×
6.978 = 7.13?
After approximation
⇒ [(73 × 73) / {72 × 7}3] × 78 = 7?
⇒ [(73 × 73)/(7(2 × 3) × 73)] × 78 = 7?
[(73 × 73)/(76 × 73)] × 78 = 7?
⇒ 1/73 × 78 = 7? ⇒ 7? = 7(8 - 3)
⇒?=5
536. Ans.(d)
Given expression is
91.99 – [70.97 + {4.04 – (4.95 – 1.99))}] = ?
⇒ 92 – [71 + {4 – (5 – 2)}] = ?
⇒ 92 – [71 + {4 – 3}] = ?
⇒ 92 – [71 + 1] = ? ⇒ 92 – 72 = ? ⇒ 20 = ?
537. Ans.(d)
Given expression is
(19.99)2 × [35.98 × 24.04] ÷ (11.98 ×
1.982) = ?
⇒ (20)2 × [36 × 24] ÷ (12 × 22) = ?
⇒ 400 × [36 × 24] ÷ (12 × 4) = ?
⇒ 400 × [864] ÷ (48) = ?
⇒ 400 × 18 = ?
∴ ? = 7200
538. Ans (e)
Given expression is
51.98 + 105.98 – ? × 2.93 = 130.91
⇒ 52 + 106 – ? × 3 = 131
⇒ 158 – ? × 3 = 131
⇒ 158 – 131 = ? × 3
⇒ 27 = ? × 3 ⇒ 9 = ?
≃ 433 − 30
≃ 403
526. Ans.(d)
?≃
67×800
650
13
? ≃ 25
529. Ans.(c)
? ≃ 25 + 27 ≃ 52
530. Ans.(a)
69
33
?≃
× 700 +
× 400
100
100
≃ 483 + 132
≃ 615
531. Ans.(b)
{(12.022 of 511.78 ÷ 96.16) ÷ 36.02} of ?
= 4607.81
{(122 of 512 ÷ 96) ÷ 36} of ? ~ 4608
{(144 × 512 ÷ 96) ÷ 36} × ? ~ 4608
? ~ 4608 ÷ (64/3)
? ~ 216
532. Ans.(b)
63.65% of 749.87 + 60.06% of 1274.75
= ? × 12.02 + 15.052.02
64% of 750 + 60% of 1275 ~ ? × 12 + 152
? × 12 + 225 ~ 0.64 × 750 + 0.60 × 1275
? × 12 ~ 1020
? ~ 85
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
190
@Crossword2022
539 Ans. (e)
(7.072 - 30.98) × 2.98 ÷ (7.982 - 45.96) = ?
⇒ (72 - 31) × 3 ÷ (82 - 46) = ?
⇒ (49 - 31) × 3 ÷ (64 - 46) = ?
⇒ (18 × 3)/18 = ?
⇒?=3
540. Ans (a)
849.99 ÷ 33.94 + (4.95)3 = 5.96 × 4.85×?
⇒ 850 ÷ 34 + 53 = 6 × 5 × ?
⇒ 25 + 125 = 6 × 5 × ?
⇒ 150 = 6 × 5 × ?
∴?=5
541. Ans (c)
{74.95 - (118.99 - 128.08 ÷ 8.08 × 6.98)} = ?
⇒ {75 - (119 - 128 ÷ 8 × 7)} = ?
⇒ {75 - (119 - 16 × 7)} = ?
⇒ {75 - (119 - 112)} = ?
⇒ {75 - 7} = ?
∴ ? = 68
542. Ans (c)
11.98 × 84.98 ÷ 4.95 + 39.99% of 349.99 = ?
⇒ 12 × 85 ÷ 5 + 40% of 350 = ?
⇒ 12 × 85 ÷ 5 + 140 = ?
⇒ 12 × 17 + 140 = ?
⇒ 204 + 140 = ?
543. Ans (e)
Given expression is
16.992 - 88.99 - 13.942 + 3.94
= 1.922 × ? ÷ 10.98
⇒ 172 - 89 - 142 + 4 = 22 × ? ÷ 11
⇒ 289 - 89 - 196 + 4 = 4 × ? /11
⇒ 8 × 11 / 4 = ?
∴ ? = 22
544. Ans (c)
11.922 + 15.982 – ?2 = 10.102 × 3.03
⇒ 122 + 162 – ?2 = 102 × 3
⇒ 144 + 256 – ?2 = 100 × 3
⇒ ?2 = 400 – 300 = 100
⇒? = √100 = √(10 × 10) ⇒ ? = 10
545. Ans (e)
24.95 - {16.98 - 11.98 ÷ (5.15 + 17.98 - 16.98)} = ?
⇒ 25 - {17 - 12 ÷ (5 + 18 - 17)} = ?
⇒ 25 - {17 - 12 ÷ (5 + 18 - 17)} = ?
⇒ 25 - {17 - 12 ÷ 6} = ?
⇒ 25 - {17 - 2} = ?
⇒ 25 - 15 = ?
∴ ? = 10
546. Ans (c)
21.03×06.97+12% of 401.09-2/7 of
699.81=?- 105.07
Taking approximate values, we get
21 × 7 +12% of 400 - 2/7 of 700 = ? - 105
⇒ 21 × 7 + 12/100 × 400 - 2/7 × 700
= ? - 105
⇒ 147 + 48 - 200 = ? - 105
⇒ ? = 147 + 48 - 200 + 105 = 100
547. Ans(c)
104.042 - 96.022 + 53.992 - 46.072
=100 + ?
Taking approximate values, we get
1042 - 962 + 542 - 462 = 100 + ?
⇒ (104 + 96)(104 - 96)+(54+46)(54 - 46)
= 100 + ?
⇒ 200 × 8 + 100 × 8 = 100 + ?
⇒ 1600 + 800 = 100 + ?
⇒ 2400 = 100 + ?
∴ ? = 2400 - 100 = 2300
548. Ans (e)
2% of (298.99 + 15.982 - 255.11) = ?
Taking approximate values, we get
2% of (300 + 162 - 255) = ?
⇒ 2% of (300 + 256 - 255) = ?
⇒ 2/100 × (300 + 256 - 255) = ?
⇒ 2/100 × (300 + 256 - 255) = ?
⇒ 2/100 × (300 + 1) = ?
⇒ ? = 2/100 × (301) ≈ 6
549. Ans (d)
13.97 × √9.08 + 300.04 - 99.97 = ?
Taking approximate values, we get
⇒ 14 × √9 + 300 - 100 = ?
⇒ 14 × 3 + 200 = ?
⇒ 42 + 200 = ?
∴ ? = 242
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
191
@Crossword2022
550. Ans (b)
18.02 - (? - 19.01) + 10.982 = 120.04
Taking approximate values, we get
18 - ? + 19 + 121 = 120
⇒ ? = 121 - 120 + 19 + 18
∴ ? = 38
551. Ans (d)
?% of 405.23 – 272.89
= 2.05 × 12.18 + 2.85 × 9.32
?% of 405 – 273 ~ 2 × 12 + 3 × 9
?% of 405 ~ 51 + 273
? ~ 324/4.05
? ~ 80
552. Ans (b)
(2099.92 ÷ 25.02 of ? × 199.56 + 1199.95)
= 3999.86
(2100 ÷ 25 of ? × 200 + 1200) ~ 4000
(2100 × 200) ÷ (25 × ?) + 1200 ~ 4000
16800 ÷ ? ~ 2800
?~6
Ans553. (a)
⇒ √2115.88 × (4.96)2 + 896.32 = ?
⇒ √2116 × (4.96)2 + 896.32 = ?
⇒ 46 × (5)2 + 896 = ?
⇒ 1150 + 896 = ?
⇒ ? = 2046
554. Ans (a)
666.66 + 66.66 + 16 + 0.66 + 0.06 ÷ 0.001
= 666.66 + 66.66 + 16 + 0.66 + 60
= 809.98
≈ 810
555. Ans (d)
√? ≃ (1347 + 47) ÷ 100 − 7
557. Ans (e)
2
15
170
(
× 4800) ÷? ≃ (
× 7)
100
100
72,000
⇒? ≃
14,161
⇒? ≃ 5
558. Ans (a)
3
20
× 240 ≃?÷ (1.6 × 0.5)
⇒? ≃ 29
559. Ans (e)
? ≃ 36 ÷ 9 ÷ 10 + 39.4
≃ 39.8
? ≃ 40
560. Ans (d)
Given expression is
79.98% of 299.99 + 39.94% of 349.99
= ? + 59.99% of 399.99
⇒ 80% of 300 + 40% of 350
= ? + 60% of 400
⇒ 240 + 140 = ? + 240
⇒ 380 = ? + 240
∴ ? = 380 - 240 = 140
561. Ans (e)
Given expression is
3.03 – (9.09 – 2.93 × 7.98 ÷ 1.92) = ?
⇒ 3 – (9 – 3 × 8 ÷ 2)
⇒ 3 – (9 – 3 × 4)
⇒ 3 – (9 – 12)
⇒3+3
⇒6
562. Ans (d)
Given expression is
241.98 – [18.962 – (227.93 + 171.98) ÷
1.92] = ?2
⇒ 242 – [192 – (228 + 172) ÷ 2] = ?2
⇒ 242 – [192 – 400 ÷ 2] = ?2
⇒ 242 – [192 – 200] = ?2
⇒ 242 – [361 – 200] = ?2
⇒ 242 – 161 = ?2
⇒ 81 = ?2
∴?=9
⇒ √? ≃ 13.94 − 7
⇒ √? ≃ 6.94
⇒ ? ≃ 49
556. Ans (a)
{(39.69% of 1000.05 + 24.24 × 15.15) + ?}
= 1191.89
{(40% of 1000 + 24 × 15) + ?} ~ 1192
0.4 × 1000 + 360 + ? ~ 1192
? ~ 432
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
192
@Crossword2022
563. Ans (e)
Given expression is
(21.93)2 - (7.98)3 - √1295.96 + 63.98 = ?
⇒ (22)2 - (8)3 - √1296 + 64 = ?
⇒ 484 - 512 - 36 + 64 = ?
⇒ 548 - 548 = ?
∴?=0
564. Ans (c)
143.99 ÷ (5.93)2 × 7.92 – 23.97 = √?
⇒ 144 ÷ (6)2 × 8 – 24 = √?
⇒ 144 ÷ 36 × 8 – 24 = √? ⇒ 4 × 8 – 24 = √?
⇒ 32 – 24 = √? ⇒ 8 = √?
∴ ? = 64
565. Ans (d)
? ≈ 150% of 30 + 25% of 140 = 45 + 35 = 80
566. Ans (b)
4
? ≈ √0.0128 ÷ 6 × 972
571. Ans (e)
572 . Ans (b)
4
= √(0.0064 × 2) × (324 × 3) ÷ 6
= √0.08 × 18 = √1.44 = 1.2
567. Ans (a)
?2 ≈ 1445 × 80 ÷ 100
= (172 × 5) × (42 × 5) ÷ (22 × 52 )
573. Ans (b)
(18.64)2 + (8.32)2 ÷ (1.85)2 = ?2 + (1.23)2
⇒ (19)2 + (8)2 ÷ (2)2 = ?2 + (1)2
⇒ 361 + 64 ÷ 4 = ?2 + 1
⇒ 361 + 16 = ?2 + 1
⇒ 377 - 1 = ?2
⇒ ? = √376
= 19.39 ≈ 19
574. Ans (c)
Given expression is,
⇒ (453.81 + 29.89)1/2 ÷ 10.85
= (0.1 × ?) ÷ 4
We can write the given values as:
⇒ (454 + 30)1/2 ÷ 10.85 = (0.1 × ?) ÷ 4
⇒ (484)1/2 ÷ 11 = (0.1 × ?) ÷ 4
⇒ 22 ÷ 11 = (0.1 × ?) ÷ 4
⇒ 2 × 4 = 0.1 × ?
⇒ ? = (2 × 4)/0.1 = 80
⇒ ? = 80
Or ? ≈ 17 × 4 ÷ 2 = 34
568. Ans (e)
?3 ≈ (75)2 – (25)2 − (30)2
= 5625 − 625 − 900 4100
Or ? ≈ 16
569. Ans (c)
?=
18
5
×
15
4
×
11
9
–
32
5
÷
8
3
=
33
2
–
12
5
= 16.5 − 2.4 = 14.1 ≈ 14
570. Ans (a)
⇒ 47.88 + 84.07 – 99.95 = 7.86 × ?
⇒ 48 + 84 – 100 = 7.86 × ?
⇒ 132 – 100 = 7.86 × ?
⇒ 32 = 7.86 × ?
⇒ 32 = 8 × ?
⇒ ? = 32/8 = 4
⇒?=4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
193
@Crossword2022
575. Ans (d)
49.99% of (152.01 + 63.99 ÷ 2) × 7.01 =
46 × ?
⇒ 50% of (152 + 64/2) × 7 = 46 × ?
⇒ 50/100 × (152 + 32) × 7 = 46 × ?
⇒ 184/2 × 7 = 46 × ?
⇒ 46 × ? = 92 × 7⇒ ? = 14
576. Ans (b)
59.99% of 310 – 102.97 + 30.08% of 260 = ?
Approximating the values to the nearest
integer:
(?) = 310 × 60/100 – 103 + 260 × 30/100
(?) = 186 – 103 + 78
(?) = 161
577. Ans (c)
Given Expression,
79.74 ÷ 4.25 + 772.80 = 1009.14 - (?)3
Given expression becomes,
⇒ 80 ÷ 4 + 773 = 1009 - (?)3
⇒ 20 + 773 = 1009 - (?)3
⇒ (?)3 = 1009 - 793
⇒ (?)3 = 216
578. Ans (e)
2998.88 ÷ 101.02 – 4.999 × 2.8998 + 6.978
=?
Taking approximate values,
⇒ 3000 ÷ 100 – 5 × 3 + 7 = ?
⇒ 30 – 15 + 7 = ?
⇒ 37 – 15 = ?
∴ ? = 22
579. Ans (a)
Given expression is,
(171.94 ÷ 7.99) × 12.01 = ? × 5.81 + 23.99
⇒ (172 ÷ 8) × 12 = ? × 6 + 24
⇒ 21.5 × 12 = ? × 6 + 24
⇒ 258 = ? × 6 + 24
⇒ 258 - 24 = ? × 6
⇒ ? × 6 = 234
⇒ ? = 234/6
⇒ ? ≈ 39
580. Ans (b)
Given expression is
255.96 ÷ (1.92)3 × ?
= 15.66% of 2999.99
⇒ 256 ÷ 23 × ? = 16% of 3000
⇒ 256 ÷ 8 × ? = 3000 × 16/100
⇒ 32 × ? = 480
⇒ ? = 480/32 = 15
581. Ans (e)
Given expression is
598.01 ÷ 22.93 + √143.94
= √? + 287.88 ÷ 15.89
598 ÷ 23 + √144 = √? + 288 ÷ 16
⇒ 26 + 12 = √? + 18
⇒ √? = 26 + 12 - 18
⇒ √? = 20
⇒ ? = 400
582. Ans (d)
Given expression is
(683.94 + 387.01) ÷ 2.93 + 162.93 163.99 = ?
⇒ (684 + 387) ÷ 3 + 163 - 164 = ?
⇒ (1071) ÷ 3 + 163 - 164 = ?
⇒ 357 + 163 - 164 = ? ⇒ ? = 356
583. Ans.(d)
Given expression is
4499.95 + 499.95 ÷ 24.95 – 919.92
= 17.91 × ?
⇒ 4500 + 500 ÷ 25 – 920 = 18 × ?
⇒ 4500 + 20 – 920 = 18 × ?
⇒ 4520 – 920 = 18 × ?
⇒ 3600 = 18 × ?
⇒ ? = 200
584. Ans (e)
Given expression is
(979.8+888.08)÷4.04+632.93 = 683.84 +
25.96 × ?
⇒ (980 + 888) ÷ 4 + 633 = 684 + 26 × ?
⇒ 1868 ÷ 4 + 633 = 684 + 26 × ?
⇒ 467 + 633 = 684 + 26 × ?
⇒ 1100 = 684 + 26 × ?
⇒ 1100 - 684 = 26 × ?
⇒ 416 = 26 × ?
⇒ ? = 416 /26 ⇒ ? = 16
585. Ans (c)
Given expression is
96.98 + 709.99 – 142.93 = 3.98 × ?
⇒ (97 +710) – 143 = (4 × ?)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
194
@Crossword2022
⇒ 807 – 143 = (4 × ?)
⇒ ? = (807 - 143)/4
= 664/4 = 166
586. Ans (d)
Given expression is
325.05 – [(11.92)2 – 74.95] = (?)2 – 67.8
⇒ 325 – [(12)2 – 75] = (?)2 – 68
⇒ 325 – [144 – 75] + 68 = (?)2
⇒ 325 – 69 + 68 = (?)2
⇒ 324 = (?)2 ⇒ 18 =?
587. Ans.(e)
Given expression is
620.99 ÷ 26.97 × 1.92 – 36.97 = √?
⇒ 621 ÷ 27 × 2 – 37 = √?
⇒ 23 × 2 – 37 = √?
⇒ √? = 46 – 37 = 9
⇒ ? = 92 = 81
588. Ans (d)
Given expression is
673.8 – 457.2 + 518.9 = ? + (18.89)2
⇒ 674 – 457 + 519 = ? + (19)2
⇒ ? = 674 – 457 + 519 - (19)2
⇒ ? = 674 – 457 + 519 – 361
⇒? = 375
589. Ans. (d)
44
7.5
× + 3 = √?
4
592. Ans.(b)
? = 84% of 1650 + 20% of 870
? = 1386 + 174 = 1560
593. Ans.(a)
? = 64% of 250 + 36% of 150
? = 160 + 54
? = 214
594. Ans.(a)
50×25
25x =
x=5
10
595. Ans.(b)
x
1
× 5600 × = 8 × 41 + 500 – 128
100
2
700
x=
28
x = 25
596. Ans.(d)
26
56 ×? +
× 450 + √16 = (31)2
100
56 ×? = 961 – 4 – 117
840
?=
56
? = 15
597. Ans.(b)
546
56
28
+
× 550 =
× 1250
?
546
?
2.5
2 1
(? )3×2 + (2)10 + (5)3 = 1157
1
(? )3 + 1024 + 125 = 1157
100
?
1
3
(? ) = 1157 – 1149 = 8
? = 512
591. Ans.(e)
8% of 450 + 6% of 1450
= 25% of ?
25% of ? = 36 + 87
25
×? = 123
?=
123 × 100
25
100
546
?=
, ? = 13
42
598. Ans.(c)
(12)3 + (16)2 – √?+ (26)2 = (36)2 – 80
1728 + 256– √?+ 676 = 1296 − 80
√? = 1444
? = 38
599. Ans.(a)
?
12
× 340 +
× 2175 + √3721 = (21)2
√? = 11 × 3 + 3
36 = √?
? = 1296
590. Ans.(c)
100
100
= 350– 308
100
?
100
× 340 + 261 + 61 = 441
× 340 = 119
? = 35
600. Ans.(b)
25
547 + 243 – ? =
× 2584
100
790 – ? = 646
? = 790 – 646
? = 144
100
= 492
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
195
@Crossword2022
Missing+Worng
Number Seris
Complete Book on Speed Maths 4000 Questions
BASIC CONCEPT
In banking exams, generally two types of number series are asked.
First one is Missing Number Series in which some numbers are given which are following certain pattern. Student
is expected to find out the missing number.
Second one is Wrong Number Series in which some numbers are given but one number is wrong and does not
follow the required pattern. Student is expected to find out the wrong number.
Following patterns have been frequently asked in banking exams which are further explained below in detail.
SINGLE STAGE DIFFERENCE
1.
2.
3.
3, 23, 63, ?, 303 , 623
(Ans: 143)
Pattern is:
+ 20, + 40, + 80, + 160, ………
240, 205, 177, 156, 142, ?
(Ans: 135)
Pattern is:
- 35, - 28, - 21, - 14, ………
Double stage difference
12, 20,
30,
43,
60,
?
(Ans: 82)
SQUARE SERIES
4.
5.
121, 117, 108, 92, 67, ?
Pattern is:
−22 , −32 , −42 , −52 , ………
8, 12, 28, 64, 128,
(Ans:- 31)
? (Ans:- 228)
6.
107,
63,
CUBIC SERIES
108,
100,
127,
?
(Ans:- 188)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
196
@Crossword2022
SQUARE/CUBIC WITH ARITHMETIC
7.
These types of series can also be solved by two/three stage difference
15, 15, 17, 23, 35, ? (Ans:- 55)
8.
26, 63, 124, 215, ?, 511 (Ans:- 342)
9.
3,
5,
15,
45,
113,
? (Ans:- 243)
MULTIPLICATION/DIVISION SERIES
10. 32, 8, 4, 4, 8, ? (Ans:- 32)
11. 108, 72, 36, 24, 12,? (Ans: - 8)
Pattern is:
÷ 1.5,÷ 2,÷ 1.5,÷ 2 … … … …
MIX TYPE SERIES
12. 12, 26, 54, ?, 222, 446 (Ans:- 110)
Pattern is:
× 2 + 2,× 2 + 2,× 2 + 2, ……..
13. ?, 8, 29, 152, 1073, 9668 (Ans:- 5)
Pattern is:
× 1 + 3,× 3 + 5,× 5 + 7,× 7 + 9, … … ..
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
197
@Crossword2022
14. 2,
17,
89,
359,
1079,
? (Ans:- 2159)
EXAMPLE PRACTICE SET
1.
1028, 1012, 980, 932, 868, ?
(a) 748
(b) 698
2. 6, 18, 42, 90, 186, ?
(a) 390
(b) 384
3. 5, 12, 26, 47, 75, ?
(a) 100
(b) 115
4. 36, 45, 63, 90, 126, ?
(a) 171
(b) 165
5. 21, 30, 55, 104, 225, ?
(a) 388
(b) 372
6. 2, 3,
6, 15, 45,
?
(a) 1575
(b) 2575
7. 12, 13, 22, 47, 96, ?
(a) 177
(b) 217
8. 5, 6, 14, 45 , 184, ?
(a) 960
(b) 925
9. 9, 5, 6, ? , 23, 60, 183,
(a) 10.5
(b) 12
10. 5, 6, 21, 110, 777, ?
(a) 6993
(b) 4668
1. Ans.(d)
Pattern is:
1028 – 1 × 16 = 1012
1012 – 2 × 16 = 980
980 – 3 × 16 = 932
932 – 4 × 16 = 868
(c) 798
(d) 788
(e) 688
(c) 360
(d) 370
(e) 378
(c) 105
(d) 110
(e) 125
(c) 174
(d) 161
(e) 181
(c) 380
(d) 394
(e) 398
(c) 157.5
(d) 257.5
(e) 158.5
(c) 196
(d) 160
(e) 172
(c) 980
(d) 985
(e) 975
(c) 9.5
(d) 10
(e) 9
(c) 7002
(d) 7780
(e) 8558
868 – 5 × 16 = 788
2. Ans.(e)
3. Ans.(d)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
198
@Crossword2022
4. Ans.(a)
5. Ans.(d)
6. Ans.(c)
× 1.5,× 2,× 2.5,× 3 … ..
7. Ans.(a)
8. Ans.(b)
9. Ans.(a)
10. Ans.(c)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
199
@Crossword2022
Q14.
PRACTICE QUESTION
What should come in place of question mark (?) in
the following number series?
Q1.
282, 286, 302, ?, 402, 502
a) 366
b) 318
c) 326
d) 338
e) 342
Q2.
2187, 729, 243, 81, 27, 9, ?
a) 36
b) 3
c) 18
d) 6
e) 4
Q3.
384, 381, 372, 345, 264, ?
a) 23
b) 25
c) 43
d) 24
e) 21
Q4.
5, 9, 18, 34, 59, 95, ?
a) 144
b) 160
c) 124
d) 154
e) 164
Q5.
8, 15, 36, 99, 288, ?
a) 368
b) 676
c) 908
d) 855
e) 865
Q6.
12, 12, 18, 36, 90, 270, ?
a) 853
b) 820
c) 945
d) 980
e) 720
Q7.
15, 30, ?, 40, 8, 48
a) 10
b) 12
c) 18
d) 20
e) 30
Q8.
879, 536, ?, 195, 131, 104
a) 250
b) 296
c) 315
d) 385
e) 320
Q9.
588, 563, 540, 519, ?, 483, 468
a) 500
b) 496
c) 494
d) 490
e) 538
Q10. 33, 39, 57, 87, 129, ?
a) 183
b) 177
c) 189
d) 199
e) 159
Q11. 2, 5, 23, 143, 1151, ?
a) 11520
b) 11519
c) 11517
d) 9215
e) 13823
Q12. 8, 9, 20, 63, ?, 1285, 7716
a) 384
b) 254
c) 256
d) 192
e) 320
Q13. 15, 34, 13, 30, 11, ?
a) 26
b) 15
c) 42
d) 29
e) 28
Q15.
Q16.
Q17.
Q18.
Q19.
Q20.
Q21.
Q22.
Q23.
Q24.
Q25.
Q26.
Q27.
6, 5, 7, 12.5, 27, ?
a) 83
b) 69.5
c) 56
d) 70.5
e) 96.5
64, 77, 66, 73, 68, ?
a) 75
b) 72
c) 67
d) 69
e) 66
7, 20, 46, 98, 202, ?
a) 420
b) 410
c) 310
d) 320
e) 220
210, 209, 213, 186, 202, ?
a) 138
b) 77
c) 177
d) 327
e) 227
27, 38, 71, 126, 203, ?
a) 212
b) 202
c) 301
d) 312
e) 302
435, 354, 282, 219, 165, ?
a) 103
b) 112
c) 120
d) 130
e) 230
4,200, 369, 513, 634, ?
a) 788
b) 715
c) 734
d) 755
e) 855
12, 15, 36, ? , 480, 2415, 14508
a) 115
b) 109
c) 117
d) 121
e) 153
14, 15, 23, 32, 96, ?
a) 121
b) 124
c) 152
d) 111
e) 108
19, 25, 45, 87, 159, ?
a) 254
b) 279
c) 284
d) 269
e) 248
15, 21, 39, 77, 143, ?
a) 243
b) 240
c) 253
d) 245
e) 254
6, 42, ?, 1260 , 5040 , 15120 , 30240
a) 546
b) 424
c) 252
d) 328
e) 228
499, 622, 868 , 1237, 1729 , 2344, ?
a) 3205
b) 3082
c) 2959
d) 3462
e) 2876
20 , 24, 33 , 49 , 74 , 110 , ?
a) 133
b) 147
c) 159
d) 163
e) 171
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
200
@Crossword2022
Q28.
224 , 288 , 416, ? , 1184 , 2208
a) 672
b) 627
c) 544
d) 800
e) 928
Q29. 16, 12, 18, 40.5 , 121.5, 455.625 , ?
a)2050.1125 b)2050.2125 c)2050.3125
d) 2050.4125 e) 2050.3215
Q30. 3 , 4 , 10, 33, 136, 685, ?
a) 3430
b) 4802
c) 5145
d) 4116
e) 4802
Q31. 6, 32, 152, 450, ?
a) 444
b) 448
(c )446
d) 440
e) 464
Q32. 25, 30, 66, 211.2, 887.04, ?
a) 1064.448 b) 1063
c) 1060.548
d) 1162.858 e) 4612.608
Q33. 132, 156, 182, 210, ?
a) 260
b) 240
c) 280
d) 300
e) 230
Q34. 227, 200, 173, 146, ?
a) 109
b) 119
c) 109
d) 128
e) 110
Q35. 1 9, 68, ?, 129, 145, 154
a) 100
b) 101
c) 210
d) 98
e) 104
Q36. 2, 7, 24.5, 85.75, ?
a) 272.245
b) 300.125
c) 265.725
d) 275
e) 278.25
Q37. 9, 20, 35, 59, 99, ?
a) 146
b) 175
c) 164
d) 154
e) 162
Q38. 7, 15, 61, 367, 2937, ?
a) 29571
b) 30231
c) 29374
d) 29371
e) 41253
Q39. 24, 12, 36, 18, 54, ?
a) 28
b) 27
c) 26
d) 32
e) 29
Q40. 4, 10, 33, 136, ? , 4116
a) 822
b) 534
c) 685
d) 745
e) 548
Q41. 4, 18, 48, 100, 180, 294, ?
a) 448
b) 424
c) 436
d) 460
e) 440
Q42.
Q43.
Q44.
Q45.
Q46.
Q47.
Q48.
Q49.
Q50.
Q51.
Q52.
Q53.
Q54.
30, 46, 78, 126, 190, 270, ?
a) 356
b) 366
c) 382
d) 398
e) 328
380, 465, 557, 656, 762, ?, 995
a) 855
b) 915
c) 875
d) 895
e) 890
12, 12, 18, 45, 180, 1080, ?
a) 9285
b) 9530
c) 9170
d) 9180
e) 9810
?, 61, 211, 505, 991, 1717
a) 6
b) 5
c) 8
d) 7
e) 9
121, 144, 190, 259, ? , 466
a) 351
b) 349
c) 374
d) 328
e) 381
8, 64, 216, 512, 1000, 1728, ?
a) 4096
b) 2744
c) 3375
d) 2197
e) 4913
3, 4, 10, 33, 136, 685, ?
a) 3430
b) 4802
c) 5145
d) 4116
e) 5488
16, 12, 18, 40.5, 121.5, 455.625, ?
a) 2050.1125
b) 2050.2125
c) 2050.3125
d)2050.4125
e)2050.5125
40320, 5760, 960, 192, 48, ?
a) 86
b) 32
c) 112
d) 40
e) 16
12, 27, 73, 212, 630, 1885, ?
a) 5651
b) 5652
c) 5653
d) 5654
e) 5655
18, 20, 44, 138, 560, 2810, ?
a) 16818
b) 16836
c) 16854
d) 16872
e) 16782
1200, 480, 192, 76.8, 30.72, 12.288, ?
a) 4.9152
b) 5.8192
c) 6.7112
d) 7.6132
e) 49.152
841, 961, 1089, 1225, ? , 1521
a) 729
b) 1369
c) 1156
d) 1681
e) 1444
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
201
@Crossword2022
Q55.
Q56.
Q57.
Q58.
Q59.
Q60.
Q61.
Q62.
Q63.
Q64.
Q65.
Q66.
Q67.
Q68.
141, 2885, 4613, 5613, 6125, ?
a) 6311
b) 6321
c) 6331
d) 6341
e) 6189
54, 77, 116, 187, 322, ?
a) 521
b) 578
c) 585
d) 713
e) 649
1, 2, 6, ? , 88, 445
a) 18
b) 20
c) 21
d) 24
e) 26
1, 3.5, 5, 14.5, 41.5, ?
a) 168
b) 141.25
c) 149.25
d) 143.25
e) 147.25
113, 105, 9, ? , –639
a) –219
b) –227
c) –221
d) – 223
e) 223
71, 76, 84, 97, 118, ?
a) 152
b) 154
c) 139
d) 150
e) 156
2, 13, 67, ?, 817, 1639
a) 271
b) 205
c) 218
d) 262
e) 264
1, 2, 6, 21, ?, 445, 2676
a) 88
b) 77
c) 52
d) 64
e) 68
8, 48, ?, 1320, 5940, 23760
a) 260
b) 264
c) 254
d) 256
e) 246
250000, 62500, 12500, 3125, 625, ?, 31.25
a) 156.25
b) 172.25
c) 125
d) 150
e) 250
9576, 1368, 228, 45.6, 11.4, ?
a) 5.7
b) 3.8
c) 5.2
d) 3.6
e) 4.8
1, 4, 27, 16, 125, 36, ?
a) 512
b) 729
c) 343
d) 216
e) 1331
0, 6, 24, 60, ? , 210
a) 120
b) 125
c) 211
d) 59
e) 338
3645, 1215, 405, 135, ? , 15, 5
a) 75
b) 45
c) 65
d) 55
e) 35
Q69.
Q70.
Q71.
Q72.
Q73.
Q74.
Q75.
Q76.
Q77.
Q78.
Q79.
Q80.
Q81.
Q82.
15, 30, ? , 40, 8, 48
a) 10
b) 20
d) 12
e) 15
5, 13, 58, 357, 2868, ?
a) 25823
b) 28695
d) 28545
e) 27695
495, 485, 465, 425, 345, ?
a) 195
b) 165
d) 175
e) 285
16, 22, 33, 49, 70, ?
a) 95
b) 96
d) 91
e) 106
13, 27, 55, 97, 153, ?
a) 243
b) 265
d) 223
e) 232
3, 4, 10, 33, 136, ?
a) 903
b) 822
d) 548
e) 658
95, 103, 96, 104, ?
a) 102
b) 98
d) 97
e) 95
4 , 18, 60, 186, 564, ?
a) 1581
b) 1686
d) 1698
e) 1689
12, 12, 24, 72, 288, ?
a) 1728
b) 1440
d) 2016
e) 2304
4, 16, 80, 480, 3360, ?
a) 21630
b) 26880
d) 24370
e) 11440
70, 70, 140, 210, 350, 560, ?
a) 962
b) 698
d) 910
e) 966
4, 2, 2, 3, 6, ?
a) 12
b) 15
d) 18
e) 21
100, 80, 60, 99, 79, 59, 98, ?
a) 77
b) 78
d) 80
e) 81
1, 1, 2, 6, 24, 120, 720, ?
a) 4050
b) 5060
d) 6050
e) 4455
c) 18
c) 29548
c) 185
c) 85
c) 215
c) 685
c) 100
c) 1498
c) 1152
c) 13830
c) 688
c) 24
c) 79
c) 5040
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
202
@Crossword2022
Q83.
Q84.
Q85.
Q86.
Q87.
Q88.
Q89.
Q90.
Q91.
Q92.
Q93.
Q94.
Q95.
Q96.
0, 1, 4, 9, 16, 25, ?
a) 49
b) 64
d) 36
e) 32
1296, 1444, 1600, 1764, ?
a) 1936
b) 1986
d) 1946
e) 1846
1728, 1331, 1000, 729, ?
a) 1024
b)512
d)216
e)343
4, 24, 64, 124, 204, ?
a) 207
b) 266
d) 263
e) 235
38, 57, 95, 133, 209, ?
a) 221
b) 251
d) 215
e) 247
567, 295, 159, 91, 57, ?
a) 27
b) 29
d) 39
e) 40
45, 186, 283, 344, 377, ?
a) 397
b) 387
d) 380
e) 405
10, 6, 12, 35, ?, 591.75
a) 130
b) 129.5
d) 133
e) 224.25
8, 14, 32, 58, 124, ?
a) 248
b) 247
d) 238
e) 224
25, 41, 89, 169, 281, ?
a) 425
b) 415
d) 419
e) 435
461 474 465 478 469 ?
a) 460
b) 482
d) 478
e) 496
980, 516, 284, 168, 110, ?
a) 73
b) 71
d) 91
e) 81
4, 5, 8, 27, 104, (?
a) 530
b) 514
d) 509
e) 525
1.5, 3, 12, ? , 1536, 49152
a) 108
b) 96
d) 84
e) 120
Q97.
4, 3, 6, 25, ? , 1503
a) 164
b) 166
c) 186
d) 168
e) 172
Q98. 31, 72, 117, 171, 241, ?
a) 334
b) 338
c) 336
d) 341
e) 343
Q99. 12, 36, 18, 54, 27, 81, ?
a) 40.5
b) 162
c) 41
d) 39.5
e) 41.5
Q100. 35.6, 34.4, 32, 28.4, 23.6, ?
a) 117.6
b) 1.76
c) 17.6
d) 18
e) 18.6
Q101. 111, 122, 89, 144, 67, ?
a) 160
b) 166
c) 170
d) 162
e) 163
Q102. 3, 2, 9.4, 6.8, 22.2, 16.4, ? , 31.8
a) 4.14
b) 41.4
c) 42.48
d) 44.4
e) 43.4
Q103. 7, 4, 5, 9, 20, ?
a) 52.5
b) 5.25
c) 50.25
d) 63
e) 73.5
Q104. 41, 83, 119, 143, 149, ?
a) 115
b) 113
c) 313
d) 131
e) 141
Q105. 10000, 10000, 1000, 10, ? , 0.000001
a) 1.01
b) 0.1
c) 0.01
d) 0.001
e) 1
Q106. 3, 12, 48, 192, 768, ?
a) 3132
b) 3072
c) 3060
d) 3020
e) 3200
Q107. 1, 6, 13, 24, 41, ?
a) 77
b) 62
c) 66
d) 64
e) 81
Q108. 2, 5, 16, 65, 326, ?
a) 1957
b) 1987
c) 1972
d) 1886
e) 1786
Q109. 49, 81, 121, 169, 225, 289, ?
a) 361
b) 441
c) 324
d) 625
e) 525
Q110. 1, 1, 1.5, 3, 7.5 , ?
a) 26.5
b) 24.5
c) 20.5
d) 22.5
e) 21.5
c) 81
c) 1996
c)128
c) 304
c) 225
c) 30
c) 390
c) 127.25
c) 237
c) 409
c) 456
c) 83
c) 520
c) 92
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
203
@Crossword2022
Q111. 8, 7, 11, 12, 14, 17, 17, 22, ?
a) 27
b) 20
c) 22
d) 24
e) 25
Q112. 11, 29, 83, 245, 731, ?
a) 2193
b) 2189
c) 2139
d) 2389
e) 2219
Q113. 3, 8, 20, 46, 100, 210, ?
a) 436
b) 438
c) 416
d) 432
e) 430
Q114. 5, 7, 17, 55, 225, 1131, ?
a) 6973
b) 6379
c) 7639
d) 7369
e) 6793
Q115. 1, 5, 14, 30, 55, 91, ?
a) 128
b) 140
c) 135
d) 138
e) 142
Q.116 200, 199, 196, ?, 160, 79
a) 172
b) 187
c) 183
d) 163
e) 179
Q.117 225, 250, 200, 275, ?, 300
a) 190
b) 150
c) 185
d) 175
e) 160
Q.118 53, 56, ?, 64, 68, 76
a) 58
b) 60
c) 62
d) 57
e) 59
Q.119 6, 9, 14, 21, 30, ?
a) 35
b) 32
c) 39
d) 46
e) 41
Q.120 481, 241, 121, 61, 31, ?
a) 15.5
b) 16.5
c) 16
d) 15
e)20
Q121. 1643, 1594, 1513, 1392, 1223, ?
a) 996
b) 989
c) 998
d) 992
e) 994
Q122. 2, 7, 22, 67, 202, ?
a) 606
b) 607
c) 403
d) 1213
e) 604
Q123. 5, 6, 9.5, 15, 18.5, 33, 32, ?
a) 51
b) 68
c) 58
d) 60
e) 63
Q124. 4, 18, 86, 424, ?, 10550
a) 2211
b) 2112
c) 2121
d) 2114
e) 2210
Q125. 1331, 729, 343, 125, ?
a) 27
b) 64
c) 8
d) 216
e) 1
Q126. 2, 6, 24, 120, 720, ?
a) 6040
b) 5040
c) 5050
d) 6020
e) 6400
Q127. 1, 3, 8, 26, 106, ?
a) 530
b) 532
c) 524
d) 540
e) 525
Q128. 14, 25, 58, 113, 190, 289, ?
a) 410
b) 510
c) 140
d) 415
e) 420
Q129. 11, 44, 176, 704, 2816, ?
a) 16400
b) 12564
c) 11264
d) 12605
e) 10605
Q130. 17280, 1728, 216, 36, ? , 4.5
a) 11
b) 9
c) 13
d) 15
e) 17
Q131. 209, 334, 1334, 4709, ?, 28334, 55334
a) 18130
b) 7677
c) 12709
d) 17575
e) 26315
Q132. 444, 556, 681, 820, 974, ?
a) 1144
b) 1064
c) 1184
d) 1254
e) 1181
Q133. 1, 9, 12, 76, 81, ?
a) 294
b)297
c)298
d)287
e)300
Q134. 9, 11, 43, 100, 177, ?
a) 270
b)259
c)267
d)269
e)268
Q135. 5, 9, 28, 111, 556, ?
a) 3333
b)3325
c)3335
d)3339
e)3300
Q136. 121, 130, 155, 204, 285, 406, ?
a) 558
b) 575
c) 564
d) 550
e) 580
Q137. 5, 7, 30, 272, ?, 108852
a) 4534
b) 4554
c) 4354
d) 4252
e) 4054
Q138. 1, 1, 2, 4, 5, 11, 30, ?
a) 87
b) 99
c) 85
d) 93
e) 94
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
204
@Crossword2022
Q139. 1571, 1614, 1664, 1728, 1813, ?
a) 1926
b) 1920
c) 1936
d) 1896
e) 1698
Q140. 51, 64, 116, 233, 441, 766, ?
a) 1334
b) 1234
c) 1254
d) 1285
e) 1433
Q141. 1, 2.5, 9.5, 60, ?, 17381
a) 704
b) 724
c) 720
d) 745
e) 840
Q142. 2, 10, 26, 58, 122, ?
a) 240
b) 232
c) 250
d) 254
e) 245
Q143. 13, 42, 73, 108, 151, 210, ?
a) 295
b) 310
c) 305
d) 301
e) 304
Q144. 3, 5, 19, 101, 715, ?
a) 6445
b) 6645
c) 6544
d) 6050
e) 6500
Q145. 131, 144, 170, 209, 261, ?
a) 320
b) 326
c) 330
d) 345
e) 350
Q146. 711, 723, 747, 783, 831, 891, ?
a) 445
b) 963
c) 1005
d) 1275
e) 1260
Q147. 14, 18, 82, 118, 630, ?
a) 730
b) 692
c) 711
d) 682
e) None of these
Q148. 35, 76, 253,488, 911, ?
a 1210
b) 1325
c) 1460
d) 1575
e) None of these
Q149. 144, 104, 68, 42, 25, ?
a) 14.5
b) 19.6
c) 12.5
d) 13
e) 8.5
Q150. 13, 29, 50, 81, 127, 193, ?
a) 165
b) 195
c) 180
d) 190
e) 284
Q151. 4, 4, 6, 12, 30, ?
a) 84
b) 90
c) 120
d) 105
e) 75
Q152. 3, 16, 33, 59, ?, 168
a) 101
b) 99
c) 103
d) 105
e) 97
Q153. 2, 1, 2, 9, 62, ?
a) 309
b) 433
d) 681
e) 495
Q154. 0, 24, 120, 336, ?, 1320
a) 1322
b) 738
d) 720
e) 991
Q155. 5, 105, 41, 77, 61, ?
a) 56
b) 65
d) 62
e) 67
Q156. 1024, 1156, 1296, 1444, ?
a) 1936
b) 1764
d) 784
e) 1681
Q157. 2.5, 8, 17.5, 36, ?, 130
a) 68.5
b) 72
d)70.5
e) 70
Q158. 512, 128, 32, 8, 2, ?
a) 0.5
b) 1
d) 1.5
e) 4
Q159. 9, 8, 24, 53, 54, 83, 99, ?
a) 102
b) 96
d) 100
e) 94
Q160. 1, 3, 15, 95, 767, ?
a) 7679
b) 7697
d) 6911
e) 8447
Q161. 63, 124, 215, 342, ?, 728
a) 727
b) 513
d) 509
e) 507
Q162. 5, 9, 18, 43, 92, ?, 382
a) 252
b) 183
d) 213
e) 206
Q163. 9, 18, 6, 12, 4, ?
a) 16
b) 2
d) 10
e) 8
Q164. 3.5, 12, 22.5, 36 , 54.5, ?
a) 78
b) 80
d) 82.5
e) 84.5
Q165. 2, 1.5, 2.5, 5.25, 12.5, ?
a) 37.25
b) 40
d) 26.5
e) 33.75
Q166. 12, 6.5, 11, 7.5, 10, 8.5, ?
a) 9.5
b) 9
d) 10.5
e) 8
c) 557
c) 504
c) 60
c) 1600
c) 69.5
c) 2
c) 98
c) 7579
c) 511
c) 227
c) 1
c) 80.5
c) 33.25
c) 10
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
205
@Crossword2022
Q167. 96, 48, 48, 72, ?, 360
a) 238
b) 128
c) 290
d) 88
e) 144
Q168. 13, 10, 4, –5, –17, ?
a) –34
b) –32
c) –22
d) 34
e) -2
Q169. 169, ? , 361, 529, 841, 961
a) 196
b) 225
c) 250
d) 289
e) 441
Q170. 17, 89, 449, ?, 11249, 56249, 281249
a) 10120
b) 4466
c) 3932
d) 2249
e) 9155
Q171. 96, 480, 120, 600, 150, ?
a) 750
b) 1050
c) 900
d) 675
e) None of these
Q172. 5760, 960, 192, ? , 16, 8
a) 32
b) 48
c) 60
d) 64
e) 80
Q173. 1, 1, 2, 4.5, ?, 30, 93
a) 24
b) 19
c) 11
d) 22
e) 15
Q174. 1694, 965, 722, ?, 614, 605, 602
a) 656
b) 641
c) 650
d) 637
e) 630
Q175. 17, 20, 27, 40, 59, ?
a) 105
b) 84
c) 101
d) 88
e) 71
Q176. 32, 36, 52, 88, 152, ?
a) 266
b) 252
c) 422
d) 256
e) 225
Q177. 4.5, 6, 9, 15, 27, ?
a) 47
b) 42
c) 51
d) 55
e) 57
Q178. 48, 62, 74, 84, ?, 98
a) 88
b) 90
c) 92
d) 94
e) 96
Q179. 888, 444, 222, 111, 55.5, ?
a) 27.75
b) 27.25
c) 28.25
d) 26.75
e) 29.75
Q180. 80, 90, 102, 116, 132, ?
a) 150
b) 148
c) 152
d) 146
e) 140
Q181. 20, 80, ?, 1800, 9900, 59400
a) 160
b) 120
d) 800
e) 360
Q182. 12, 43, 105, 198, 322, ?
a) 421
b) 512
d) 522
e) 490
Q183. 4096, 1024, 256, ?, 16, 4
a) 24
b) 32
d) 8
e) 12
Q184. 7, 20, 59 , ?, 215, 332
a) 122
b) 116
d) 134
e) 154
Q185. 10, 6, 12, 35, (?), 591,75
a) 130
b) 129.5
d) 133
e) 224.25
Q186. 9, 11, 22, 51, 107,
a) 195
b) 210
d) 199
e) 299
Q187. 57, 75, 59, 91, 27, ?
a) 180
b) 155
d) 120
e) 175
Q188. 12, ? , 168, 504, 1260, 2520
a) 96
b) 59
d) 48
e) 32
Q189. ?, 187 , 247, 271, 277, 277
a) 63
b) 67
d) 52
e) 81
Q190. 6, ?, 94, 168, 262, 376
a) 46
b) 40
d) 42
e) 44
Q191. 3, 9, 31, 129, 651, ?
a) 3915
b) 3913
d) 3261
e) 4565
Q192. 480, 480, 960, 320, 1280, ?
a) 800
b) 6400
d) 128
e) 32
Q193. 10, 22, 58, 118, 202, ?
a) 310
b) 442
d) 394
e) 334
Q194. 48, 24.5, 25.5, 53, 216, ?
a) 432
b) 868
d) 2170
e) 3472
c) 540
c) 477
c) 64
c) 124
c) 127.25
c) 200
c) 170
c) 61
c) 73
c) 48
c) 3911
c) 256
c) 320
c) 1736
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
206
@Crossword2022
Q195. 110, 133, 165, 222, 328, ?
a) 515
b) 510
c) 555
d) 596
e) 409
Q196. 1130, 1164, 1232, 1334, 1470, ?
a) 1674
b) 1640
c) 1606
d) 1572
e) 1623
Q197. 353, 54, 380, 81, 444, 145, 569, ?, 785
a) 209
b) 361
c) 270
d) 226
e) 488
Q198. 2, 6, 21, 88, 445, ?
a) 3122
b) 2230
c) 2766
d) 2676
e) 3568
Q199. 8, 9, 8, 7, 10, 9, 6, 11, 10, ?, 12
a) 5
(b) 7
c) 8
d) 11
e) None of these
Q200. 12, 6, 9, 22.5, 78.75, ?
a) 345.375
b) 354.375
c) 374.535
d) 375.435
e) 343.755
Q201. 5, 54, 397, 2798, ?, 137254
a) 20605
b) 19910
c) 19605
d) 18620
e) 20520
Q202. 625, 620, 613, 602, 589, 572, ?
a) 541
b) 537
c) 531
d) 521
e) 553
Q203. 3, 6, 24, 144, ?, 11520
a) 1158
b) 1252
c) 1125
d) 1152
e) 1212
Q204. 375000, 15000, 750, 50, 5, ?
a) 1
b) 2
c) 4
d) 5
e) 3
Q205. 1, 11, 81, 411, 1241, ?
a) 1236
b) 1251
c) 1273
d) 1237
e) 1233
Q206. 113, 130, 164, 215, ?, 368
a) 293
b) 273
c) 283
d) 327
e) 372
Q207. 112, 259, 392, 511, 616, ?
a) 701
b) 707
c) 711
d) 715
e) 720
Q208. 4, 6, 12, ?,90, 315, 1260
a) 42
b) 36
c) 24
d) 30
e) 46
Q209. 6, 7, 16, 51, 208,?, 6276
a) 1045
b) 941
c) 836
d) 1254
e) 1154
Q210. 6,10,37,53,178, ?
a 210
b) 212
c) 214
d) 226
e) None of these
Q211. 767, 495, 359 , 291, 257, ?
a) 120
b) 240
c) 57
d) 68
e) 189
Q212. 17.5, 31, 58 , 98.5 , 152.5, ?
a) 169.5
b) 180.5
c) 220
d 205
e) None of these
Q213. 7, 4, 5, 9, ?, 52.5, 160.5
a) 18
b) 19.5
c) 20
d) 20.5
e) None of these
Q214. 6, 12, 48, 264 , 1560, ?
a) 9636
b) 9864
c) 9432
d) 9336
e) 9268
Q215. 5, 348, 564, 689, ?, 780, 788
a) 348
b) 689
c) 753
d) 780
e) 788
Q216. 23, 29, 17, 35, ?, 41
a) 13
b) 11
c) 12
d) 18
e) 21
Q217. 6, 10, 17, 28.5, 46.75, ?
a) 77.125
b) 76.125
c) 75.125
d) 75.25
e) 72.75
Q218. 670, 894, 1150, 1438, ?
a) 1758
b) 1594
c) 1930
d) 1290
e) 1225
Q219. 3, 5, 19, 101, ?, 6445
a) 710
b)712
c) 714
d) 715
e) 725
Q220. 7, 8, 16, 12, 41, 28, ?
a) 90
b) 85
c) 92
d) 86
e) 84
Q221. 325, 314, 292, 259, 215, ?
a) 126
b) 116
c) 130
d) 160
e) 180
Q222. 45, 46, 70, 141, ?, 1061.5
a) 353
b) 353.5
c) 352.5
d) 352
e) 35.25
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
207
@Crossword2022
Q223. 620, 632, 608, 644, 596, ?
a) 536
b) 556
c) 656
d) 646
e) 456
Q224. 15, 25, 40, 60, ?, 115
a) 115
b) 90
c) 105
d) 120
e) 85
Q225. 120, 320, ?, 2070, 5195, 13007.5
a) 800
b) 920
c) 850
d) 900
e) 820
Q226. 1, 5, 29, 209, ?, 20789
a) 2223
b) 1889
c) 1771
d) 1828
e) 2148
Q227. 71 , 88, 113, 150, 203, ?
a) 412
b) 328
c) 276
d) 282
e) 316
Q228. 359, 437, 523, 615, 711, ?
a) 809
b) 812
c) 936
d) 984
e) 778
Q229. 3, 5, 17, 97, 769, ?
a) 9217
b) 4609
c) 6145
d) 7681
e) 7679
Q230. 15.5, 29, 56, 96.5, 150.5, ?
a) 238
b) 252
c) 312
d) 328
e) 218
Q231. 12, 12, 18, 36, 90, 270, 945, ?
a) 3780
b) 4725
c) 2835
d) 3307.5
e) 4252.5
Q232. 444, 467, 513, 582, 674 , 789, ?
a) 950
b) 904
c) 927
d) 881
e) 973
Q233. 4800, 2400, 600, 75, 4.6875, ?
a) 0.14648
b) 4.14648
c) 1.47265
d) 3.72656
e) 4.26756
Q234. 963, 927, 855, 747, 603, 423, ?
a) 209
b) 208
c) 207
d) 206
e) 205
Q235. 10, 15 , 35, 110, 445, 2230, ?
a) 13385
b) 11155
c) 15615
d) 13390
e) 8925
Q236. 10, 15, 45, 270, 3240, ?
a) 72250
b) 77760
c) 75260
d) 85280
e) 762560
Q237. 35, 256, 451, 620, 763, ?
a) 680
b) 893
c) 633
d) 880
e) 860
Q238. 130, 139, 155, 180, 216, ?
a) 260
b) 290
c) 265
d) 996
e) None of these
Q239. 2890, ?, 1162, 874, 730, 658
a) 1684
b) 1738
c) 1784
d) 1672
e) 1678
Q240. 12, 26, 81, 328, 1645, ?
a) 9981
b) 8281
c) 7321
d) 9876
e) 9978
Q241. 2, 7, 24, 61, ?, 227
a) 116
b) 126
c) 129
d) 136
e) 125
Q242. 76, 151, 454, 1815, ?
a) 9070
b)9072
c)9054
d)9074
e)9076
Q243. 2, 4, 12, 48, 240, ?
a) 960
b) 1440
c) 1080
d) 1920
e) 1960
Q244. 7, 26, 63, 124, 215, 342, ?
a) 481
b) 511
c) 391
d) 421
e) 841
Q245. 3878, 3709, 3565, 3444, 3344, ?
a) 3263
b) 3325
c) 3321
d) 3282
e) 3355
Q246. 5, 26, 68, 152, 320, ?
a) 652
b) 654
c) 566
d) 656
e) 665
Q247. 63, 123, 213, 339, 507, ?
a) 722
b) 720
c) 723
d) 736
e) 732
Q248. 1, 5, 17, 37, 65, 101, ?
a) 145
b) 143
c) 138
d) 142
e) 140
Q249. 254, 249, 259, 244, 264, 239, ?
a) 272
b) 269
c) 296
d) 264
e) 284
Q250. 6561, 2187, 364.5, 40.5, 3.375, ?
a) 1.225
b) 0.225
c) 0.0225
d) 2.225
e) 12.25
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
208
@Crossword2022
Q251. 2, 8, 44, 260, 1556, ?
a) 9323
b) 9432
d) 9632
e) 9436
Q252. 7, 40, 78, 126, 194, ?
a) 203
b) 302
d) 306
e) 403
Q253. 243, 81, 27, 9, 3, ?
a) 1
b) 3
d) 4
e) 6
Q254. 1, 4, 18, 93, 562, ?
a) 3399
b) 3939
d) 3946
e) 3496
Q255. 29160, 9720, 1620, 180, 15, ?
a) 1
b) 2
d) 5
e) 3
Q256. 3, 52, 88, 113, 129, ?
a) 148
b) 142
d) 145
e) 138
Q257. 2, 3, 8, ?, 112, 565
a) 36
b) 14
d) 45
e) 54
Q258. 6, 4, 8, 23, ?, 385.25
a) 84.5
b) 73
d) 82
e) 86
Q259. 8, 64, 216, 512, ?, 1728
a) 729
b) 1331
d) 1000
e) 1004
Q260. 379, 390 , 412, 445, ?, 544
a) 489
b) 389
d) 490
e) 589
Q261. 11, 6, 7, 12, 26, ?
a) 65
b) 66.5
d) 67.5
e) 68
Q262. 16, 24, 40, 72, ?, 264
a) 136
b) 138
d) 144
e) 146
Q263. 10, 10, 16, 40, 100, ?
a) 200
b) 205
d) 215
e) 220
Q264. ?, 3073, 2948, 2605, 1876, 545
a) 3118
b) 3109
d) 3091
e) 3082
Q265. 20, 26, 36, 54, 84, ?
a) 125
b) 130
d) 134
e) 135
Q266. 3, 5, 8, 12, 17, ?, 30
a) 25
b) 27
d) 24
e) 23
Q267. 1, 8, 27, 64, ?, 216, 343
a) 145
b) 160
d) 180
e) 140
Q268. 18, 21, 16, 23, 14, ?
a) 25
b) 8
d) 10
e) 12
Q269. 0.4, 2.4, ?, 27.4, 114.6, 579
a) 6.4
b) 4.2
d) 7.8
e) 6.8
Q270. 4.5, 7, 18, ?, 335, 2004
a) 76
b) 64
d) 63
e) 68
Q271. 10 12 18 42 162 ?
a) 828
b) 998
d) 768
e) 882
Q272. 2 8 28 102 432 ?
a) 1860
b) 1296
d) 2490
e) None of these
Q273. 6 16 44 126 370 ?
a) 1100
b) 1050
d) 1260
e) None of these
Q274. 51 77 175 250 279 ?
a) 313
b) 413
d) 616
e) None of these
Q275. 2 2 5 15.5 ? 267.125
a) 58.25
b) 65.25
d) 62.25
e) None of these
Q276. 4, 1, 0.5, 0.5, 1, ?
a) 4
b) 5
d) 4.5
e) 5.5
Q277. 6, 9, 18, 45, 126, ?
a) 396
b) 369
d) 364
e) 352
Q278. 2, 4.5, 9.5, 19.5, 39.5, ?
a) 75.5
b) 77.5
d) 83.5
e) 69.5
c) 9332
c) 304
c) 2
c) 3993
c) 4
c) 133
c) 27
c) 78.5
c) 684
c) 500
c) 67
c) 140
c) 210
c) 3100
c) 132
c) 22
c) 125
c) 14
c) 8.3
c) 72
c) 456
c) 2190
c) 1400
c) 512
c) 56.25
c) 6
c) 362
c) 79.5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
209
@Crossword2022
Q279. 677, 785, 901, 1025, ? , 1297
a) 1162
b) 1157
c) 1297
d) 1264
e) 1257
Q280. 1, 4, 15, 64, 325, ?
a) 1856
b) 1844
c) 1952
d) 1956
e) 1786
Q281. 219 223 232 248 ?
a) 296
b) 284
c) 257
d) 273
e) 267
Q282. 36, 54, 135, ?, 2126.25, 11694.375
a) 472.5
b) 427.5
c) 572.5
d) 562.5
e) None of these
Q283. 11 53 93 129
159
?
a) 162
b) 174
c) 181
d) 206
e) None of these
Q284. 12 6 15 67.5
?
3729.375
a) 583.75
b) 589.75
c) 498.75
d) 438.75
e) None of these
Q285. 6, 7, 16, 51, 208, ?, 6276
a) 1045
b) 941
c) 836
d) 1254
e) None of these
Q286. 100, 121, 144, 169, 196, ?
a) 225
b) 230
c) 235
d) 240
e) 245
Q287. 6, 3, 3, 4.5, 9, ?
a) 23.5
b) 20
c) 22.5
d) 21.5
e) 24
Q288. 5760, ?, 192, 48, 16, 8
a) 900
b) 960
c) 880
d) 800
e) 840
Q289. 441, 484, 529, 576, 625, ?
a) 676
b) 678
c) 680
d) 682
e) 684
Q290. 1, 6, 21, 66, 201, ?
a) 627
b) 609
c) 618
d) 606
e) 636
Q291. 132 , 156, 182 , 210 , 240 , ?
a) 272
b) 284
c) 296
d) 302
e) None of these
Q292. 705, 728, 774, 843, 935, 1050, ?
a) 1190
b) 1180
c) 1185
d) 1188
e) 1818
Q293. 16, 16, 40, 160, 880, ?
a) 7480
b) 6160
c) 4400
d) 5720
e) 6600
Q294. 60.5, 72, 84.5, 98, 112.5, ?
a) 125
b) 122
c) 126
d) 128
e) 132
Q295. 8, 9, 22, 75, 316, ?
a) 1245
b) 1605
c) 875
d) 795
e) None of these
Q296. 25 30 49 56 81 90 ? 132
a) 90
b) 72
c) 99
d) 121
e) 132
Q297. 600 75 12.5 ? 1.5625
a) 31.25
b) 3.125
c) 2.315
d) 32.15
e) 4.125
Q298. 6 19 71 279 1111 ?
a) 4439
b) 3439
c) 3454
d) 5439
e) 4349
Q299. 4 18 60 186 564 ?
a) 1581
b) 1686
c) 1498
d) 1698
e) 1689
Q300. 12 13 28 87 352 ?
a) 1665
b) 1765
c) 1656
d) 1675
e) 1865
Q301. 26, 23.5, 28.5, 21, 31, ?
a) 18
b) 18.5
c) 16
d) 24
e) 20.5
Q302. 144, 256, 400, 576, 784, ?
a) 1156
b) 900
c) 1024
d) 1296
e) 1028
Q303. 13, 16, 22, 31, 43, ?
a) 60
b) 58
c) 55
d) 56
e) 61
Q304. 5, 9, 17, 33, 65, ?
a) 255
b) 256
c) 193
d) 129
e) 257
Q305. 26, 63, 124, 215, 342, ?
a) 511
b) 728
c) 1330
d) 510
e) 512
Q306. 3680, 1840, 920, 460, ?, 115, 57.5
a) 225
b) 230
c) 220
d) 245
e) 235
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
210
@Crossword2022
Q307. 15, 30, 10, 40, 8, ?
a) 48
b) 52
c) 64
d) 72
e) 32
Q308. 40/3, 22, 36, 58, 92, ?
a) 144
b) 169
c) 134
d) 206
e) 126
Q309. 10, 11, 24, 75, 304, ?
a) 1379
b) 1525
c) 1597
d) 1698
e) 1351
Q310. 124, 127, 135, 150, 174, ?
a) 196
b) 209
c) 216
d) 190
e) 222
Q311. 32, 28, 37, 21, 46, ?
a) 12
b) 10
c) 8
d) 16
e) 72
Q312. 5, 7, 12, 22, 34, ?
a) -3
b) -7
c) -9
d) -1
e) -11
Q313. 2, 1, 1, 1.5, 3, 7.5, ?
a) 24
b) 21.5
c) 22.5
d) 30
e) 26.25
Q314. 1776, 444, 111, 27.75, ?
a) 6.9375
b) 69.375
c) 4.9375
d) 6.95
e) 6.725
Q315. 9, 14, 35, 68, 109, ?
a) 144
b) 128
c) 136
d) 154
e) 172
Q316. 561, 642, 763, 932, 1157, ?
a) 1446
b) 1326
c) 1482
d) 1246
e) 1426
Q317. 1524, 1443, 1394, ?, 1360, 1359
a) 1303
b) 1218
c) 1359
d) 1369
e) 1569
Q318. 8, 24, 49, 85, 134, ?
a) 189
b) 176
c) 198
d) 201
e) 321
Q319. 3, 10, 15, 26, 35, ?
a) 63
b) 50
c) 60
d) 54
e) 80
Q320. 1543, 1440, 1337, ?, 1131
a) 1233
b) 1234
c) 1235
d) 1238
e) 1433
Q321. 121, 160, ?, 281, 371, 486
a) 212
b) 210
c) 208
d) 214
e) 206
Q322. 1.5, 4, 19, 119, ?, 9599
a) 957
b) 599
c) 959
d) 719
e) 721
Q323. 7, 8, 19, 20, 33, 35, ?, 56, 77, 89
a) 41
b) 55
c) 53
d) 51
e) 49
Q324. 2, 5, 7, 12.5, 14.5, ?
a) 27.35
b) 23.75
c) 25.75
d) 31
e) 38.25
Q325. 1232, 1265, 1320, ?, 1496, 1617
a) 1395
b) 1397
c) 1419
d) 1420
e) 1430
Q326. 1.001, 0.991, 0.971, 0.941, 0.901 ?
a) 0.841
b) 0.851
c) 0.861
d) 0.871
e) 0.0851
Q327. 169, ?, 361, 529, 841, 961
a) 196
b) 225
c) 250
d) 289
e) 324
Q328. 0, 4, 18, 48, ?, 180
a) 48
b) 60
c) 100
d) 50
e) 120
Q329. 3645, 1215, 405, 135, ?, 15, 5
a) 75
b) 45
c) 65
d) 55
e) 27
Q330. 147, 168, 189, 210, 231, ?
a) 241
b) 255
c) 236
d) 252
e) 261
Q331. 4.5, 16, ?, 33, 38.5, 42, 43.5
a) 16
b) 25.5
c) 33
d) 38.5
e) 42
Q332. 13, 13, 32.5, 130, 715, ?
a) 5420
b) 1550
c) 5005
d) 2055
e) 4520
Q333. 16, 17, 15, 18, 14, ?
a) 10
b) 17
c) 18
d) 19
e) None of these
Q334. 19, 97, 162, 214, 253,?
a) 277
b) 279
c) 224
d) 280
e) None of these
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
211
@Crossword2022
Q335. 13, 29, 50, 81, 127, 193 , ?
a) 165
b) 195
c) 180
d) 190
e) 284
Q336. 25, 30, 49, 56, 81, 90, ?, 132
a) 90
b) 72
c) 99
d) 121
e) 132
Q337. 1200, 150, 25, ?, 3.125
a) 62.5
b) 6.25
c) 0.625
d) 6.625
e) 4.25
Q338. 6, 19, 71, 279, 1111, ?
a) 4439
b) 3439
c) 3454
d) 5439
e) 4349
Q339. 3, 17, 59, 185, 563, ?
a) 1581
b) 1686
c) 1497
d) 1697
e) 1689
Q340. 16, 17, 36, 111, 448, ?
a) 2240
b) 2245
c) 2694
d) 1796
e) 1865
Q341. 186, 210 , 258, 282,
?
a) 318
b) 330
c) 326
d) 352
d) None of these
Q342. 3, 9 , 33 , 129 , 513 , ?
a) 2052
b) 1951
c) 2049
d) 1894
e) None of these
Q.343. 2299 , 2203, 2109 , 2017,
?
1839
a) 1935
b) 1927
c) 1946
d) 1953
e) None of these
Q.344. 98, 49.5, 50.5 , 77.25 , 156.5 , ?
a) 381.5
b) 393.75
c) 389.5
d) 378.5
d) None of these
Q345. 12, 6, 6, 12, 48, 384, ?
a) 768
b) 1536
c) 96
d) 6144
e) None of these
Q346. 7, 56, 92, 117, 133, ?
a) 148
b) 138
c) 135
d) 147
e) 142
Q347. 2, 4, 16, 86, 610, ?
a) 5498
b) 4889
c) 5500
d) 6722
e) 5550
Q348. 383, 394 , 407, 414 , 419 , ?
a) 429
b) 446
c) 452
d) 438
e) None of these
Q349. 27, 125, 343, 729, 1331, ?
a) 3375
b) 9261
d) 2197
e) 4913
Q350. 3, 11, 42, 165, 656, ?
a) 2649
b) 2619
d) 3169
e) 2245
Q351. 821, 784, 743, ? , 653, 600
a) 698
b) 700
d) 671
e) 702
Q352. 2, 3, 27, 74, ? , 237
a) 148
b) 121
d) 134
e) 178
Q353. 32, 144, 504, 1260, 1890, ?
a) 945
b) 2145
d) 815
e) 915
Q354. 3, 4, 7, 11, 18, ?
a) 32
b) 25
d) 27
e) 29
Q355. ? , 16, 36, 64, 100, 144
a) 8
b) 12
d) 4
e) 6
Q356. 90, 55, 75, 142.5, ? , 862.5
a) 285
b) 325
d) 855
e) 270
Q357. 5, 12, 39, 160, ? , 4836
a) 850
b) 750
d) 805
e) 820
Q358. 1, ? , 7, 31, 151, 911
a) 4
b) 5
d) 3.5
e) 3
Q359. ? , 16, 64, 8, 128, 4
a) 32
b) 4
d) 16
e) 64
Q360. 2, 30, 130, 350, ? , 1342
a) 712
b) 720
d) 742
e) 750
Q361. 960, 720, 600, ?, 510, 495
a) 530
b) 535
d) 545
e) 550
Q362. 5, 6, 16, 57, 244, ?
a) 1260
b) 1235
d) 1220
e) 1245
c) 2179
c) 2549
c) 721
c) 144
c) 2560
c) 36
c) 2
c) 470
c) 800
c) 2
c) 8
c) 738
c) 540
c) 1230
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
212
@Crossword2022
Q363. 11, 8, 9, 12, 16, 20.5, ?
a) 25.25
b) 24.75
c) 22.25
d) 23.75
e) 26.25
Q364. 32, 16, 16, 24, 48, ?
a) 96
b) 120
c) 144
d) 168
e) 192
Q365. 12, 18, 30, 50, 80, ?
a) 120
b) 116
c) 118
d) 122
Q366. 7, 14, 42, 210, ?, 16170
a) 1630
b) 1540
c) 1760
d) 1470
e) 1980
Q367. 1600, 1595, ?, 1580, 1540, 1220
a) 1590
b) 1594
c) 1587
d) 1589
e) 1592
Q368. 789, 790, ?, 825, 889, 1014
a) 807
b) 814
c) 798
d) 820
e) 800
Q369. 4, 7, 15, 30, 54, ?
a) 79
b) 89
c) 62
d) 98
e) 112
Q370. 1811, 1792, 1775, ?, 1751, 1744
a) 1771
b) 1763
c) 1756
d) 1767
e) 1762
Q371. 12 , 129 , 242 , 346 , 434, ?
a) None of these b) 497
c) 517
d) 493
e) 513
Q372. 48, 216 , 756 , 1890, ? , 1417.5
a) 2345
b) 2735
c) None of these
d) 2745
e) 2835
Q.373 4, 11, 22, 39, ?, 99
a) 62
b) 58
c) 56
d) 61
e) 64
Q.374 3, 3, 7, ?, 59, 123
a) 16
b) 23
c) 13
d) 21
e) 43
Q.375 11, 24, 39, 56, ?, 96
a) 75
b) 55
c) 48
d) 84
e) 70
Q.376 6, 20, 42, ?, 110, 156
a) 98
b) 56
c) 72
d) 84
e) 62
Q.377 21, 22, 24, ?, 29, 28, 36, 34
a) 24
b) 29
c) 26
d) 27
e) 28
Q.378 11, 6, 7, 12, ?, 67.5
a) 26
b) 32
c) 40
d) 42
e) 36
Q.379 7, ?, 210, 840, 2520, 5040
a) 35
b) 64
c) 42
d) 84
e) None of these
Q.380 254, 126, 62, ?, 14, 6
a) 45
b) 40
c) 38
d) 26
e) 30
Q.381 56, 57, 49, 76, ?, 137
a) 12
b) 35
c) 20
d) 6
e) 96
Q.382 15, 24, 18, 21, ?, 18
a) 15
b) 24
c) 21
d) 18
e) 20
Q.383 42, 212, 334, 416, 466, ?
a) 492
b) 496
c) 494
d) 502
e) 498
Q.384 244, 187, 140, 103, ?, 59
a) 77
b) 74
c) 76
d) 81
e) 83
Q.385 48, ?, 756, 1890, 2835, 1417.5
a) 192
b) 216
c) 208
d) 212
e) 204
Q.386 6, 35, 144, 435, ?, 873
a) 856
b) 882
c) 844
d) 852
e) 872
Q.387 26, ?, 22, 26, 18, 22, 14
a) 26
b) 24
c) 28
d) 32
e) 30
Q.388 38, 39, 43, 59, ?, 379, 1403
a) 82
b) 197
c) 166
d) 123
e) 275
Q.389 11, 16, 23, 32, 43, ?
a) 74
b) 59
c) 65
d) 56
e) 45
Q.390 41, 392, 913, 1652, 2663, ?
a) 4090
b) 4006
c) 416
d) 4073
e) 4168
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
213
@Crossword2022
Q.391 6, 30, 180, 1260, 10080, ?
a) 90640
b) 90540
c) 90840
d) 90720
e) 90780
Q.392 79, 179, 323, 519, 775, ?
a) 1224
b) 913
c) 1099
d) 238
e) 1225
Q.393 80, 40, 40, ?, 120, 300
a) 90
b) 80
c) 60
d) 100
e) 50
Q.394 102, 182, 246, ?, 326, 342
a) 290
b) 278
c) 302
d) 286
e) 294
Q.395 15, 240, 44, 213, 69, ?
a) 190
b) 210
c) 180
d) 170
e) 220
Q.396 21, 16, 27, ?, 299, 1490
a) 80
b) 94
c) 82
d) 76
e) 102
Q. 397 399, 443, 481, ?, 571, 631
a) 533
b) 527
c) 541
d) 539
e) 525
Q.398 46, 109, 157, ?, 216, 231
a) 196
b) 192
c) 188
d) 178
e) 198
Q.399 124, 139, 169, 214, 274, ?
a) 349
b) 339
c) 350
d) 345
e) 324
Q.400 58, 60, 66, 90, ?, 930
a) 150
b) 180
c) 720
d) 210
e) 640
Q.401 4, 12, 39, 103, ?, 444
a) 228
b) 198
c) 174
d) 160
e) 240
Q. 402 ?, 153, 196, 243, 296, 355
a) 115
b) 117
c) 119
d) 121
e) 112
Q.403 15, 90, 180, 1080, 2160, 12960, ?
A) 25686
B) 18736
C) 25920
D) 19106
E) 20132
Q.404 45, 60, 77, 96, 117, ?
A) 212
B) 140
C) 188
D) 129
E) 160
Q.405 20.25, 23.04, 26.01, 29.16, 32.49, ?
A) 36.91
B) 36.00
C) 36.08
D) 36.04
E) 35.97
Q.406 61, 62, 70, 97, 161, ?
A) 189
B) 286
C) 310
D) 195
E) 342
Q. 407 658, 669, 682, 699, 718, ?
A) 833
B) 777
C) 741
D) 728
E) 831
Q.408 64, 75, 84, ?, 96, 99
a) 91
b) 90
c) 94
d) 93
e) 92
Q.409 5, 18, 39, 68, 105, ?
a) 178
b) 124
c) 150
d) 145
e) 160
Q.410 7, 8, 18, ?, 232, 1165
a) 35
b) 57
c) 108
d) 124
e) 171
Q.411 21, 22, 26, 42, ?, 362
a) 86
b) 134
c) 196
d) 106
e) C154
Q.412 364, 304, 254, 214, 184, ?
a) 104
b) 134
c) 172
d) 154
e) 164
Q.413 22, ?, 166, 310, 502, 742
a) 60
b) 70
c) 50
d) 80
e) 90
Q.414 28, 18, ?, 37, 78, 199
a) 20
b) 16
c) 22
d) 24
e) 28
Q.415 25, 90, ?, 177, 203, 220
a) 150
b) 148
c) 144
d) 140
e) 160
Q.416 103, ?, 190, 247, 313, 388
a) 132
b) 122
c) 152
d) 162
e) 142
Q.417 21, ?, 199, 603, 1817, 5461
a) 65
b) 55
c) 45
d) 75
e) 85
Q.418 9, 43, 169, 503, 1001, ?
a) 995
b) 809
c) 999
d) 997
e) 1006
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
214
@Crossword2022
Q.419 79, 54, 75, 58, 71, ?
a) 53
b) 62
d) 78
e) 64
Q.420 50, 53, 67, 100, 160, ?
a) 240
b) 263
d) 255
e) 161
Q. 421 162, 54, 36, ? , 48, 80
a) 33
b) 42
d) 30
e) 36
Q.422 9, 5, 7, 22, 120, ?
a) 1100
b) 1088
d) 1050
e) 1000
Q.423 5, 7, 11, ?, 35, 67
a) 21
b) 19
d) 31
e) None of these
Q.424 4, 5, ?, 157, 500, 1229
a) 12
b) 18
d) 32
e) None of these
Q.425 11, 42, 93, 164, ?, 366
a) 245
b) 215
d) 325
e) None of these
Q.426 2520, 504, 126, 42, 21, ?
a) 21
b) 9
d) 3
e) None of these
Q.427 11, 22, 44, ?, 121, 176
a) 66
b) 55
d) 99
e) None of these
Q.428 9, 10, 18, 27, 91, ?
a) 100
b) 144
d) 162
e) 116
Q.429 12, 30, 56, 90, ?, 182
a) 121
b) 132
d) 156
e) 160
Q.430 5, 15, 75, 525, 4725, ?
a) 52052
b) 54450
d) 50490
e) 51975
Q.431 999, ?, 778, 669, 561, 454
a) 888
b) 887
d) 878
e) 886
Q.432 1, 3, 9, 31, 129, ?
a) 661
b) 671
d) 641
e) 631
Q.433 3, 8, 18, 33, 53, ?
a) 72
b) 80
d) 78
e) 73
Q.434 9, 64, 25, 216, ?, 512
a) 49
b) 343
d) 100
e) 121
Q.435 12, 36, 80, 164, 328, ?
a) 648
b) 664
d) 656
e) 652
Q.436 15, 23, 30, 36, 41, ?
a) 48
b) 52
d) 45
e) 51
Q.437 7, 14, 28, ?, 112, 224
a) 56
b) 64
d) 62
e) 60
Q.438 4, 18, 48, ?, 180, 294
a) 96
b) 120
d) 90
e) 115
Q.439 2, 4, 12, 60, ?, 4620
a) 300
b) 380
d) 660
e) 420
Q.440 2, 3, 5, 8, 13, ?
a) 21
b) 19
d) 24
e) 26
Q.441 150, 395, ?, 900, 1160, 1425
a) 650
b) 625
d) 645
e) 680
Q.442 100, 96, 87, 71, ?, 10
a) 35
b) 21
d) 52
e) 25
Q.443 16, 32, 96, 480, 3360, ?
a) 36,960
b) 34,260
d) 33,960
e) 36,920
Q.444 ?, 80, 63, 48, 35, 24
a) 111
b) 101
d) 125
e) 108
Q.445 101, 119, 173, 263, ? , 551
a) 389
b) 369
d) 339
e) 359
Q.446 42, 49, 60, 73, ? , 109
a) 85
b) 89
d) 92
e) 90
c) 71
c) 258
c) 24
c) 890
c) 29
c) 26
c) 305
c) 7
c) 77
c) 125
c) 144
c) 48840
c) 877
c) 651
c) 76
c) 81
c) 660
c) 49
c) 58
c) 100
c) 480
c) 17
c) 676
c) 46
c) 34,960
c) 99
c) 399
c) 88
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
215
@Crossword2022
Q.447 15, ? , 33, 60, 151, 498
a) 21
b) 20
c) 22
d) 19
e) 23
Q.448 3, 3, 9, 33, 87, ?
a) 181
b) 182
c) 183
d) 180
e) 184
Q.449 16, 65, 101, 126, 142, ?
a) 151
b) 149
c) 147
d) 153
e) 155
Q.450 9, 31, 63, 75, 117, ?
a) 116
b) 115
c) 114
d) 119
e) 110
Q.451 9, 22, 52, 116, 248, ?
a) 526
b) 524
c) 520
d) 516
e) 512
Q.452 14, 13, 24, 69, 272, ?
a) 1355
b) 1360
c) 1365
d) 1375
e) 1345
Q.453 1548, 516, 129, 43, ?
a) 11
b) 10.75
c) 9.5
d) 12
e) None of these
Q.454 461, 474, 465, 478, 469, ?
a) 460
b) 482
c) 456
d) 478
e) None of these
Q.455 9, 17, 65, 385, 3073, ?
a) 30621
b) 30721
c) 30521
d) 30821
e) None of these
Q.456 2, 60, 10, 120, 30, ?
a) 222
b) 216
c) 208
d) 230
e) None of these
Q.457 0, 4, 6, 3, 7, 9, 6, ?, 12
a) 8
b)10
(C) 11
d) 12
e) None of these
Q.458. ? , 13.5 , 27, 9, 36, 7.2
a) None of these b) 7.25
c) 10
d) 13.5
e) 8.5
Q.459. 102, 114 , 129 , 153 , 204, ?
a) 292
b) 282
c) 309
d) 2275
e) 336
Q.460. 813, ?, 818, 782, 998, –298
a) 812
b) 810
c) None of these
d) 816
e) 814
Q.461. 12 , 129, 242, 346, 434, ?
a) None of these b) 497
c) 517
d) 493
e) 513
Q.462. 48, 216, 756, 1890, ?, 1417.5
a) 2345
b) 2735
c) None of these
d) 2745
e) 2835
Q.463. 26, 48, ?, 180, 356, 708, 1412
a) 56
b) 148
c) 92
d) 119
e) 95
Q.464. 23, 24, 27, 36, ?, 144, 387
a) 63
b) 70
c) 109
d) 89
e) 121
Q.465. 25, 21, 34, ?, 3 44, 1700, 10176
a) 90
b) 127
c) 112
d) 181
e) 211
Q.466. 203, 546, 3290, 12551, ?, 77378, 151466
a) 34503
b) 29375
c) 16178
d) 43051
e) 12902
Q.467. 64, 93, ?, 207, 320, 489, 728
a) 156
b) 136
c) 146
d) 126
e) 116
Q.468. 14000, ?, 8820, 9702, 12612.6, 18918.9
a) 7000
b) 9800
c) 10800
d) 12460
e) None of these
Q.469. 8, 3, 3.5, 7.5, 23, ?
a) 128
b) 112
c) 98
d) 164
e) 108
Q.470. 4, 21, 43, 90, 262, ?, 4981
a) 1059
b) 2421
c) 524
d) 1048
e) 1969
Q.471. 30, 45, 72, 126, 252, 630, ?
a) 2205
b) 1890
c) 2835
d) 1575
e) 2520
Q.472. 17, 21, 30, ?, 104, 225
a) 41
b) 55
c) 46
d) 45
e) 51
Q.473. ?, 2.25, 2.75, 6.5, 28, 228
a) 2
b) 1
c) 3
d) 4
e) 0
Q.474. 94, 100, 111, 132, 168, ?
a) 228
b) 234
c) 214
d) 220
e) 224
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
216
@Crossword2022
Q.475. 66, ?, 212, 242, 254, 256
a) 156
b) 146
d) 149
e) 145
Q.476. 21, 24, 32, 50, ?, 166
a) 69
b) 88
d) 57
e) 68
Q.477. 23, 27, 36, 61, 110, ?
a) 221
b) 231
d) 191
e) 204
Q.478. 4, 2, 3, 7.5, ?, 118.125
a) 26.5
b) 24.25
d) 18.25
e) 18.625
Q.479. 90, 139, 103, 128, ?, 121
a) 112
b) 114
d) 125
e) 110
Q.480. 81, 87, 107, 149, ?, 331
a) 222
b) 220
d) 221
e) 119
Q.481. 26, 36, 54, 80, 114, ?
a) 146
b) 133
d) 134
e) 156
Q.482. 3, 5, 13, 43, 177, ?
a) 952
b) 692
d) 758
e) 981
Q.483. 17, 25, 49, 97, 177, ?
a) 297
b) 247
d) 292
e) 279
Q.484. 21, 28, 42, 64, 95, ?
a) 125
b) 158
d) 136
e) 164
Q.485. 64, 32, 48, 120, 420, ?
a) 1260
b) 1890
d) 1400
e) 1980
Q.486. 50, 52, 49, 54, 47, ?
a) 56
b) 58
d) 68
e) 85
Q.487. 4, 2, 3, 6, 16, ?
a) 63
b) 65
d) 69
e) 72
Q.488. 2, 92, 36, 66, 54, ?
a) 56
b) 42
d) 72
e) 60
Q.489. 1024, 2304, 4032, 5040, ?, 945
a) 2028
b) 3780
c) 2650
d) 2525
e) 3750
Q.490. 4, 6, 12, 24, 44, ?
a) 74
b) 70
c) 72
d) 78
e) 80
Q.491. 1, 3, 18, 59, 139, ?
a) 275
b) 289
c) 271
d) 261
e) 281
Q.492. 12, 12, 15, 23, 38, ?
a) 63
b) 61
c) 62
d) 58
e) 38
Q.493. 15, 33, 103, 417, 2091, ?
a) 12551
b) 11542
c) 14553
d) 12553
e) 13555
Q.494. 2, 6, 25, 96, 285, ?
a) 667
b) 568
c) 846
d) 776
e) 602
Q.495. 17, 26, 30, 39, 43, ?
a) 52
b) 47
c) 49
d) 59
e) 51
Q.496. 45, 49, 40, 56,
?
67
a) 49
b) 43
c) 38
d) 31
e) None of these
Q.497. 6, 6, 12, 36 , ?
720
a) 144
b) 142
c) 181
d) 98
e) None of these
Q.498. 4, 10, 33, 136, ?, 4116
a) 822
b) 534
c) 685
d) 745
e) 548
Q.499. 4, 31, 15, 140, 104, ?
a) 445
b) 413
c) 421
d) 414
e) 447
Q.500. 77, 90, 109, 140, 189, ?
a) 259
b) 262
c) 247
d) 261
e) 259
Q.501. 91, 97, 117, 159, 231, ?
a) 341
b) 352
c) 211
d) 323
e) 331
Q.502. ? , 3, 4, 10, 44, 360
a) 6
b) 7
c) 3
d) 5
e) 4
c) 136
c) 78
c) 225
c) 26.25
c) 104
c) 138
c) 201
c) 891
c) 358
c) 142
c) 1120
c) 64
c) 67
c) 68
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
217
@Crossword2022
Q.503. 8, 20, 40, 70, 112, ?
a) 186
b) 150
c) 168
d) 184
e) 176
Q.504. 17, 34, 102, 408, 2040, ?
a) 6410
b) 12240
c) 7250
d) 3190
e) 3410
Q.505. 17, 17, 34, 51, 85, 136, ?
a) 221
b) 146
c) 267
d) 305
e) 206
Q.506. 2577, 2496, 2432, 2383, 2347, ?
a) 2338
b) 2322
c) 2354
d) 2418
e) 2932
Q.507. 400, 394, 378, 352, 316, ?
a) 290
b) 280
c) 270
d) 260
e) 250
Q.508. 18, 31, 42, 49, 54, ?
a) 56
b) 57
c) 60
d) 62
e) 64
Q.509. 6, 8, 14, 26, 46, ?
a) 84
b) 82
c) 80
d) 78
e) 76
Q.510 27, 1358, 1277, 1620, ? , 1622
a) 1546
b) 1536
c) 1596
d) 1598
e) 1595
Q.511. 48, 72, 180, 810, ?, 69862.5
a) 6078
b) 6075
c) 6077
d) 6080
e) 6085
Q.512. 8, 288, 512, 680, 792, ?
a) 848
b) 840
c) 876
d) 890
e) 896
Q.513. 57, 65, 74, 138, ?, 379
a) 169
b) 164
c) 156
d) 163
e) 166
Q.514. 16 ?, 32, 128, 64, 256
a) 56
b) 64
c) 68
d) 72
e) 78
Q.515. 19, 33, 67, 97, 147, ?
a) 197
b) 187
c) 189
d) 190
e) 193
Q.516. 11, 11, 17, 35, 89, ?
a) 259
b) 269
c) 289
d) 258
e) 236
Q.517. 3, 10, 36, 152, ?, 4632
a) 770
b) 840
c) 820
d) 760
e) 775
Q.518. 4, 7, 11, 19, 36, ?
a) 65
b) 69
c) 71
(d 73
e) 68
Q.519. 68, 117, 61, 124, 54, ?
a) 129
b) 133
c) 131
d) 141
e) 125
Q.520. 7, 5, 6, 12, 40 , ?
a) 170
b) 180
c) 190
d) 160
e) 200
Q.521. ?, 29, 48, 87, 154, 257
a) 22
b) 19
c) 21
d) 20
e) 18
Q.522. 2197, 3163, 4383, 5906, 7781, ?
a) 10049
b) 10057
c) 10077
d) 11049
e) 11077
Q.523. 48, 80, 120, 168, 224, ?
a) 286
b) 298
c) 294
d) 278
e) 288
Q.524. 472.5, 945 , 315, 630, ? , 420
a) 210
b) 250
c) 320
d) 235
e) 340
Q.525 13, 77, 589, ?, 6413, 14413, 28237
a) 2037
b) 5889
c) 3367
d) 2317
e) 4115
Q.526. 525, 524, 516, 489, ?, 300
a) 456
b) 425
c) 384
d) 353
e) None of these
Q.527. 24, 36, 72, 180, ?, 1890
a) 720
b) 840
c) 360
d) 450
e) 540
Q.528. 32, 37, 27, 42, ?, 47
a) 36
b) 30
c) 22
d) 18
e) 44
Q.529 12, 10, 17, 47, ?, 909
a) 154
b) 183
c) 202
d) 251
e) 267
Q.530. ? , 13.5 , 27 , 9 ,36 , 7.2
a) None of these b) 7.25
c) 10
d) 13.5
e) 8.5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
218
@Crossword2022
Q.531. 102, 114 , 129 , 153 , 204, ?
a) 292
b) 282
d) 2275
e) 336
Q.532. 813, ? , 818, 782, 998, –298
a) 812
b) 810
c) None of these
d) 816
e) 814
Q.533. 96, 105, 112, 117, 120, ?
a) 128
b) 121
d) 129
e) 150
Q.534. 48 , 216 , 756 , 1890, ? , 1417.5
a) 2345
b) 2735
c) None of these
d) 2745
e) 2835
Q.535. 3, 4, 8, 17, 33, ?
a) 47
b) 45
d) 54
e) 40
Q.536. 5, 7, 13, 25, 45 , ?
a) 45
b) 75
d) 86
e) 55
Q.537. 7, 7, 10, 18, 33, ?
a) 34
b) 54
d) 65
e) 42
Q.538. 2, 7, 25, 105, 531, ?
a) 2341
b) 3241
d) 3193
e) 1022
Q.539. 10, 13, 18, 26, 38, ?
a) 43
b) 55
d) 45
e) 48
Q.540. 16, 23, 28, 38, 49, ?
a) 53
b) 50
d) 62
e) 64
Q.541. 728, 510, 340, 212, 120, ?
a) 65
b) 62
d) 70
e) 58
Q.542. 197, 214, 221, 226, 236, ?
a) 257
b) 252
d) 255
e) 241
Q.543 8, 4, 4, 6, ?, 30
a) 18
b) 12
d) 22
e) 28
Q.544 11, 36, 72, 121, 185, 266, ?
a) 278
b) 342
d) 292
e) 332
Q.545. 4, ?, 22, 46, 94, 190
a) 12
b) 10
d) 8
e) 6
Q.546. 45, 74, 97, 116, 133, ?
a) 120
b) 147
d) 146
e) 148
Q.547. 1, 1, 2, 6, 28, ?
a) 232
b) 224
d) 192
e) 222
Q.548. 12, 10, 17, 47, 183, ?
a) 897
b) 906
d) 903
e) 912
Q.549. 68, 65, 60, 51, 34, ?
a) 4
b) 5
d) 2
e) 1
Q.550. 240, 306, 380, ?, 552, 650
a) 472
b) 492
d) 462
e) 542
Q.551. 21, 22, ?, 35, 51, 76
a) 28
b) 23
d) 26
e) 29
Q.552. 128, ?, 32, 16, 8, 4
a) 64
b) 60
d) 56
e) 72
Q.553. 16, 22, 28, 34, 40, ?
a) 44
b) 46
d) 42
e) 50
Q.554. 1, 8, 27, ?, 125, 216
a) 68
b) 66
d) 60
e) 64
Q.555. 20, ?, 12, 19, 39, 98.5
a) 9
b) 10
d) 24
e) 12
Q.556. 840, 719, 638, 589, ?, 555
a) 572
b) 564
d) 570
d) 560
Q.557. 112, 128, 176, 188, 224, ?
a) 233
b) 323
d) 312
e) 248
c) 309
c) 133
c) 58
c) 65
c) 57
c) 3567
c) 65
c) 49
c) 74
c) 260
c) 20
c) 366
c) 15
c) 145
c) 226
c) 909
c) 3
c) 512
c) 24
c) 68
c) 48
c) 62
c) 11
c)578
c) 293
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
219
@Crossword2022
Q.558. ?, 14, 31, 97, 393, 1971
a) 10
b) 6
c) 8
d) 4
e) 12
Q.559. 14, 116, 239, 404, 632, ?
a) 848
b) 926
c) 789
d) 944
e) 824
Q.560. ?, 513, 537, 752, 800, 131
a) 350
b) 375
c) 450
d) 425
e) 275
Q.561. 31, 33, 36, ?, 48, 59
a) 38
b) 37
c) 43
d) 41
e) 40
Q.562. 6, 36, 180, 720, ?, 4320
a) 3600
b) 1080
c) 1440
d) 2880
e) 2160
Q.563. 23, 29, ?, 41, 47, 53
a) 33
b) 35
c) 37
d) 36
e) 39
Q.564. 1, 5, ?, 30, 55, 91
a) 13
b) 10
c) 9
d) 14
e) 18
Q.565. ?, 80, 120, 300, 1050, 4725
a) 160
b) 120
c) 40
d) 180
e) 100
Q.566. 10800, 1800, 9000, 2250, ?, 3375
a) 5750
b) 6500
c) 7750
d) 8000
e) 6750
Q.567. 5, 10, 20, 35, 55, ?
a) 85
b) 75
c) 80
d) 70
e) 65
Q.568. 7, 19, 33, 51, 71, ?
a) 95
b) 93
c) 90
d) 91
e) 97
Q.569. ?, 226, 394, 514, 594, 642
a) 5
b) 6
c) 1
d) 2
e) 4
Q.570. 4, 20, 60, 160, ?, 1035
a) 410
b) 412
c) 408
d) 416
e) 418
Q.571. 25, 40, 115, 235, 385, ?
a) 560
b) 520
c) 530
d) 548
e) 550
Q.572. 12, 8, 10, 22, ?, 722
a) 88
b) 90
c) 86
d) 84
e) 96
Q.573. 128.0, 320.0, 1120.0, 5040.0, 27720.0, ?
a) 180180.0 b) 180268.0
c) 180237.0
d) 180318.0 e) 180255.0
Q.574. 611, 881, 1201, 1571, 1991, ?
a) 2421
b) 2461
c) 2551
d) 2501
e) 2451
Q.575. 55, 71, 89, 109, 131, ?
a) 155
b) 169
c) 172
d) 141
e) 174
Q.576. 4826809, 371293, 28561, 2197, 169, ?
a) 27
b) 21
c) 13
d) 37
e) 29
Q.577. 693, 704, 713, 720, 725, ?
a) 736
b) 751
c) 754
d) 744
e) 728
Q.578. 537, 491, 447, 405, 365, ?
a) 338
b) 333
c) 330
d) 327
e) 343
Q.579. 1327, 995, 723, 505, 335, ?
a) 222
b) 207
c) 212
d) 215
e) 224
Q.580. 16.0, 40.0, 140.0, 630.0, 3465.0, ?
a) 22638.5
b) 22678.5
c) 22593.5
d) 22705.5
e) 22522.5
Q.581. 5, 17, 37, 67, 109, ?
a) 185
b) 165
c) 139
d) 145
e) 121
Q.582. 12, 36, 144, 432, 1728, 5184, ?
a) 7862
b) 20736
c) 18170
d) 10198
e) 6816
Q.583. 11, 12, 16, 25, 41, ? , 102
a) 66
b) 68
c) 82
d) 76
e) 78
Q.584. 7, 20, 59, 176, ? , 1580
a) 627
b) 557
c) 543
d) 527
e) 427
Q.585. 78, 99, 124, 153, 186, ?
a) 213
b) 217
c) 237
d) 227
e) 223
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
220
@Crossword2022
Q.586. 0, 26, 124, 342, 728, ?
a) 1221
b) 1330
c) 1351
d) 1370
e) 1350
Q.587. 18, 31, 57, 96, 148, ?
a) 217
b) 227
c) 237
d) 223
e) 213
Q.588. 7, 20, 46, 98, 202, ?
a) 420
b) 410
c) 310
d) 320
e) None of these
Q.589. 210, 209, 213, 186, 202, ?
a) 138
b) 77
c) 177
d) 327
e) None of these
Q.590. 27, 38, 71, 126, 203, ?
a) 212
b) 202
c) 301
d) 312
e) None of these
Q.591. 435, 354, 282, 219, 165, ?
a) 103
b) 112
c) 120
d) 130
e) None of these
Q.592. 4, 200, 369, 513, 634, ?
a) 788
b) 715
c) 734
d) 755
e) None of these
Q.593. 3, 6, 6, 12, 12, 24, ?
a) 48
b) 24
c) 12
d) 36
e) 72
Q.594. 21, 31, 51, ?, 121, 171, 231
a) 91
b) 71
c) 61
d) 81
e) 101
Q.595. 121, 144, 81, ?, 49, 64, 25
a) 144
b) 169
c) 196
d) 121
e) 100
Q.596. 400, ?, 100, 50, 25, 12.5, 6.25
a) 200
b) 300
c) 250
d) 150
e) 100
Q.597. 21, −16, −6, 9, 29, ?, 84
a) 50
b) 45
c) 54
d) 49
e) 64
Q.598. 16, 20, 28, 44, ?
a) 82
b) 76
c) 60
d) 52
e) 96
Q.599. 2, 11, 36, 85, ?, 287
a) 163
b) 166
c) 170
d) 185
e) 206
Q.600. 8, 6, 14, 40, ?
a) 151
b) 148
d) 162
e) 98
Q.601. 3, 83, 152, 208, 249 , ?
a) 280
b) 320
d) 351
e) 273
Q.602. 2, 14, 70, ?, 420
a) 190
b) 320
d) 200
e) 315
Q.603. 1, 24, 70, ?, 231, 346
a) 145
b) 135
d) 142
e) 148
Q.604. 4, 10, 20, 34, ?, 74
a) 48
b) 52
d) 58
e) 56
Q.605.?, 216, 175, 132, 85, 32
a) 248
b) 232
d) 256
e) 253
Q.606 961, 841, 729, ?, 529, 441
a) 625
b) 630
d) 25
d) 576
Q.607 2, 11, 46, 141, 286, ?
a) 320
b) 291
d) 285
e) 361
Q.608. 120, 60, 60, 90, 180, ?
a) 420
b) 450
d) 500
e) None of these
Q.609. ?, 190, 210, 238, 274, 318
a) 170
b) 198
d) 178
Q.610. 112, ?, 166, 238, 382, 670
a) 152
b) 135
d) 126
e) 130
Q.611. 138, 210, 66, 282, -6, ?
a) 354
b) 320
d) 348
e) 360
Q.612. 72, 80, 71, 135, ?, 326
a) 125
b) 110
d) 105
e) 95
Q.613. 2, 3, 3, 4.5, 4.5, ?
a) 18
b) 9
d) 6.75
e) 11.5
c) 80
c) 265
c) 210
c) 139
c) 61
c) 220
c) 550
c) 311
c) 400
c) 186
e) 190
c) 144
c) 336
c) 90
c) 12
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
221
@Crossword2022
Q.614. 1, 12, 133, ?, 16105
a) 399
b) 1330
d) 900
e) 1272
Q.615. 64, 65, 69, 78, ?, 119
a) 82
b) 94
d) 91
e) 58
Q.616. 16, 81, 196, 361, 576, ?
a) 625
b) 676
d) 784
e) 841
Q.617. 2, 10 , 30, 68, 130, ?
a) 222
b) 260
d) 286
e) 296
Q.618. 5, 7, 25, 131, ? , 8335
a) 845
b) 940
d) 925
e) 825
Q.619. 81, 86, 94, 111, 135, ?
a) 172
b) 176
d) 182
e) 186
Q.620. 61, 32, 55, 36, 53, ?
a) 50
b) 42
d) 65
e) 48
Q.621. 5, ? , 11.5, 35, 164, 1360
a) 7.5
b) 11
d) 9
e) 5.5
Q.622 656, 549, 180, ? , 16
a) 63
b) 73
d) 57
e) 67
Q.623. ?, 177, 167, 187, 147, 227
a) 164
b) 170
d) 176
e) 175
Q.624. 80, 68, 62, 56, ?, 29
a) 43
b) 44
d) 46
e) 47
Q625. 700, 658, 628, 608, 596, ?
a) 578
b) 590
d) 560
e) 542
Q.626. 764, ?, 881, 947, 1022, 1109
a) 828
b) 825
d) 817
e) 821
Q.627. 558, 641, 730, 827, ?, 1031
a) 922
b) 926
d) 930
e) 932
Q.628. ?, 467, 766, 1049, 1307, 1529
a) 150
b) 159
c) 154
d) 160
e) 163
Q.629. 5, 8, 13, 20, ? , 40
a) 23
b) 29
c) 25
d) 27
e) 26
Q.630. 26, 63, 124, 215, ? , 511
a) 320
b) 312
c) 332
d) 348
e) 342
Q.631. 6, ? , 20, 30, 42, 56
a) 8
b) 15
c) 13
d) 12
e) 11
Q.632.? , 279, 240, 188, 123, 45
a) 292
b) 318
c) 305
d) 301
e) 297
Q.633. 5, 7, 10, 15, 22, ? , 46
a) 28
b) 33
c) 31
d) 37
e) 39
Q.634. 40, 53, 68, 85, 104, ?
a) 125
b) 107
c) 141
d) 114
e) 113
Q.635. 294, 260, 228, 198, 170, ?
a) 158
b) 144
c) 156
d) 152
e) 153
Q.636. 6, 26, 66, 126, 206, ?
a) 306
b) 275
c) 260
d) 221
e) 240
Q.637. 20, 30, 50, 70, 110, ?
a) 140
b) 146
c) 126
d) 120
e) 130
Q.638. 2, 10, 30, 68, ?, 222
a) 126
b) 136
c) 120
d) 130
e) 111
Q.639. 4620, 420, 60, ?, 4, 2
a) 30
b) 12
c) 48
d) 25
e) 8
Q.640. 2, ?, 17, 65, 257, 1025
a) 8
b) 10
c) 5
d) 7
e) 4
Q.641. 4096, 225, 2744, 169, 1728, ?
a) 144
b) 1000
c) 343
d) 729
e) 121
c) 1464
c) 87
c) 729
c) 274
c) 965
c) 192
c) 40
c) 8.5
c) 85
c) 172
c) 45
c) 570
c) 830
c) 928
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
222
@Crossword2022
Q.642. 100, 150, 106, 155, 110, ?
a) 158
b) 62
c) 64
d) 160
e) 156
Q.643. 983, 1080, 886, 1177, 789, ?
a) 1280
b) 1278
c) 1276
d) 1274
e) 1272
Q.644. 70560, 23520, 5880, 1176, ?, 28
a) 168
b) 188
c) 176
d) 166
e) 196
Q.645. 16, 16, 8, 24, 6, ?
a) 30
b) 24
c) 18
d) 27
e) 36
Q.646. 786, 1810, 2066, 2130, 2146, ?
a) 2152
b) 2150
c) 2156
d) 2160
e) 2164
Q.647. 9, 5, 6, 14, ?, 488
a) 30
b) 45
c) 52
d) 56
e) 60
Q.648. 2, 4, 11, 37, ? , 771
a) 148
b) 147
c) 151
d) 153
e) 155
Q.649. 24, 12, 12, 24, ? , 408
a) 96
b) 84
c) 88
d) 92
e) 100
Q.650. 2, 12, 30, 56, 90, ?
a) 122
b) 127
c) 135
d) 125
e) 132
Q.651. 3, 8, 15, 24, ? , 48
a) 34
b) 35
c) 36
d) 37
e) 38
Q.652. 18, 18, 27, 54, ? , 405
a) 120
b) 125
c) 130
d) 135
e) 140
Q.653 25, 30, 40, ?, 75, 100
a) 50
b) 55
c) 45
d) 60
e) 65
Q.654. 4, 5, 8, 27, 104, ?
a) 420
b) 425
c) 520
d) 525
e) 500
Q.655. 20, 10, ?, 15, 30, 75, 225
a) 20
b) 12
c) 15
d) 5
e) 10
Q.656. 169, 121, 49, 25, ?, 4
a) 9
b) 16
c) 1
d) 10
e) 15
Q.657. 80, 40, 20, 10, 5, ?
a) 3
b) 2.5
c) 3.75
d) 1.25
e) 0.625
Q.658. 36, 210, 1045, 4176, 12525, ?
a) 25000
b) 25046
c) 25052
d) 25050
e) 25048
Q.659. 3, 9, 21, 41, 71, ?
a) 113
b) 110
c) 115
d) 116
e) 109
Q.660. 6, 4, 3, 2.5, ? , 2.125
a) 1.5
b) 1.75
c) 2.25
d) 2.025
e) 1.125
Q.661. 7, 15, 6, 70, 45, ?
a) 150
b) 81
c) 71
d) 261
e) 216
Q.662. 16, 31, 52, 79, 112, ?
a) 151
b) 150
c) 149
d) 155
e) 161
Q.663. ?, 5, 20, 120, 960, 9600
a) 2
b) 2.5
c) 5
d) 3
e) 1
Q.664. 20, ?, 32, 44, 60, 80
a) 26
b) 28
c) 25
d) 24
e) 22
Q.665. 0, 8, 24, 48, ?, 120
a) 75
b) 84
c) 82
d) 80
e) 85
Q.666 ?, 6, 4, 6, 22, 174
a) 16
b) 10
c) 12
d) 15
e) 9
Q.667. 55, 63, 76, 95, 121, ?
a) 159
b) 155
c) 157
d) 163
e) 160
Q.668. 300, 219, 319, 198, 342, ?
a) 181
b) 173
c) 234
d) 277
e) 169
Q.669. 15, 15, 30, 90, 360, ?
a) 457
b) 699
c) 1800
d) 347
e) 1501
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
223
@Crossword2022
Q.670. 71 95 121 149 179 ?
a) 198
b) 211
c) 206
d) 213
e) 219
Q.671. 16, 24, 40, 56, 88, ?
a) 122
b) 112
c) 88
d) 104
e) 90
Q.672. 13, 21, 36, 58, 87, ?
a) 122
b) 128
c) 133
d) 123
e) 130
Q.673. ?, 98, 110, 158, 350, 1118
a) 95
b) 94
c) 90
d) 85
e) 88
Q.674. 8764, 7506, 6281, 5122, ?, 3332
a) 4073
b) 4088
c) 4078
d) 4095
e) 4125
Q.675. 256, ?, 328, 374 , 432, 494
a) 298
b) 296
c) 294
d) 288
e) 290
Q.676. 16, 12, 16, 36, ?, 1188
a) 144
b) 156
c) 150
d) 152
e) 148
Q.677 ?, 505, 649, 818, 1014, 1239
a) 392
b) 390
c) 388
d) 384
e) 386
Q.678. 20, 24, 32, ?, 60, 80
a) 40
b) 44
c) 48
d) 52
e) 46
Q.679. 125, 216, 343, 512, 729, ?
a) 1331
b) 1000
c) 1728
d) 520
e) 676
Q.680. 100, 180, 294, 448, 648, ?
a) 1040
b) 1020
c) 980
d) 1000
e) 900
Q.681. 35, 42, ?, 56, 63, 70
a) 48
b) 52
c) 45
d) 49
e) 51
Q.682. 508 53 212 29
60
?
a) 15
b) 19
c) 23
d) 13
e) None of these
Q.683. 54 225 576 729
?
9
a) 321
b) 317
c) 303
d) 288
e) None of these
Q.684. 35 210 1050 4200
?
25200
a) 12600
b) 12340
c) 12580
d) 12200
e) None of these
Q.685. 25 32 37 47
58
?
a) 66
b) 71
c) 79
d) 84
(e) None of these
Q.686. 240 122 64 36
23
?
a) 11
b) 19.5
c) 17.5
(d) 8
(E) None of these
Q.687. 256 374 504 646
800
?
a) 966
b) 848
c) 902
d) 874
d) None of these
Q.688. 108 120 138 162 192
?
a) 196
b) 228
c) 206
d) 219
e) None of these
Q.689. 2 3 30 155 ? 1227
a) 446
b) 464
c) 498
d) 484
e) None of these
Q.690. 330, 450, 594, 762, 954, ?
a) 1130
b) 1080
c) 1200
d) 1170
e) 1180
Q.691 1092, 363, 120, 39, ?, 3
a) 13
b) 12
c) 9
d) 6
e) 5
Q.692. 10 22 46 94 ?
382
a) 112
b) 128
c) 149
d) 167
e) None of these
Q.693. 2 8 18 32 50
?
a) 55
b) 59
c) 68
d) 72
e) None of these
Q.694. 2, 10, 48, 190, ?, 1134
a) 484
b) 568
c) 828
d) 684
e) 724
Q.695. ? 51 76 92 101
a) 19
b) 15
c) 33
d) 25
e) 40
Q.696. 8, 18, 57, 232, ?, 6996
a) 828
b) 1165
c) 924
d) 888
e) 628
Q.697. 100, 98, 104, 92, 112, ?
a) 64
b) 108
c) 72
d) 96
e) 82
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
224
@Crossword2022
Q.698. 128, 64, 64, ?, 192, 480
a) 156
b) 96
c) 180
d) 154
e) 186
Q.699. 29, 30, 33, 42, ?, 150, 393
a) 137
b) 69
c) 112
d) 46
e) 98
Q.700. 8, 26, 62, 116, 188, ?
a) 236
b) 246
c) 206
d) 278
e) 200
Q.701. 341, 213, 121, 59, 21, ?
a) 9
b) 1
c) 18
d) 14
e) 16
Q.702. 10, 15, 25, 35, 55, ?
a) 65
b) 59
c) 55
d) 81
e) 73
Q.703. 1800, ?, 60, 15, 5, 2.5
a) 300
b) 600
c) 120
d) 240
e) 360
Q.704. 4, 3, 4, 9, 32, ?
a) 75
b) 155
c) 125
d) 175
e) 165
Q.705 ?, 100, 150, 375, 1312.5
a) 50
b) 100
c) 75
d) 25
e) 200
Q.706. 0, 6, 24, 60, ?, 210
a) 130
b) 170
c) 90
d) 120
e) 150
Q.707 1727, 1329, 997, 725, 507, ?
a) 351
b) 337
c) 349
d) 345
e) 342
Q.708. 200, 197, 185, 163, 130, ?
a) 95
b) 85
c) 105
d) 86
e) 84
Q.709. 15, 8, 9, 15, 32, ?
a) 98
b) 66
c) 80.5
d) 82.5
e) 84.5
Q.710 5, 30, 150, 600, ?
a) 1200
b) 1500
c) 2400
d) 1800
e) 600
Q.711. 222, 110, 54, 26, ?
a) 10
b) 12
c) 8
d) 6
e) 14
Q.712. 104, ?, 96, 120, 88, 128
a) 112
b) 96
c) 116
d) 120
e) 92
Q.713. 1864, 1521, 1305, ? , 1116, 1089
a) 1160
b) 1180
c) 1095
d) 1205
e) 1220
Q.714. 18, ?, 9, 18, 72, 576
a) 12
b) 9
c) 18
d) 10
e) 6
Q.715. 12, 6.5, 7.5, 12.75, 27.5, ?
a) 66.5
b) 68.75
c) 63.75
d) 71.25
e) None of these
Q.716. 5 , 15, 50, ?, 1030, 6185
a) 210
b) 2051
c) 225
d) 200
e) 195
Q.717. 130, 154, 186 , ? , 274, 330
a) 216
b) 220
c) 240
d) 226
e) 230
Q.718 3.5, 7, 21, 84, ?, 2520
a) 280
b) 420
c) 440
d) 1800
e) 2000
Q.719 7, 6, 10, 36, 280, ?
a) 2882
b) 4464
c) 4200
d) 4848
e) 5252
Q.720 13, 7, 8, 13.5, 29, ?
a) 55
b) 82
c) 75
d) 85
e) 72
Q.721 500, 485, 462, 430, 388, ?
a) 335
b) 300
c) 315
d) 288
e) 275
Q.722 11, 22, 66, 330, 2310, ?
a) 23150
b) 26110
c) 25410
d) 18195
e) 14017
Q.723 ?, 10, 20, 45, 110, 300
a) 2
b) 5
c) 10
d) 2.5
e) 7.5
Q.724. 158, ?, 38, 18, 8, 3
a) 108
b) 78
c) 88
d) 68
e) 98
Q.725. 19, 22, 29, 42, 61, ?
a) 82
b) 67
c) 85
d) 77
e) 90
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
225
@Crossword2022
Q.726. 229, 199, 171, 145, 121, ?
a) 99
b) 107
d) 114
e) 118
Q.727. 29, 31, 36, 47, 64, ?
a) 87
b) 90
d) 72
e) 100
Q.728. 32, 64, 144, 360, 990, ?
a) 2961
b) 2988
d) 2562
e) 2976
Q.729. 5760, 960, 192, 48, 16, ?
a) 72
b) 90
d) 100
e) 24
Q.730. 53, 56, 63, 76, 95, ?
a) 120
b) 124
d) 108
e) 139
Q.731. 1260, 315, 90, 30, 12, 6, ?, 4, 8
a) 5
b) 4
d) 2
e) 3
Q.732. 24, 35, 57, 90, 134, ?
a) 218
b) 189
d) 209
e) 198
Q.733. 2, 3, 7, ?, 89, 446, 2677
a) 24
b) 21
d) 25
e) 22
Q.734. 156, 152, 160, 144, ?, 112
a) 196
b) 184
d) 176
e) 188
Q.735. 4, 2.5, 4, 8.5, 20.5, ?
a) 52.75
b) 55.75
d) 50.75
e) 49.75
Q.736. 56, 344, 488, ?, 596, 614
a) 560
b) 520
d) 420
e) 510
Q.737. 912, 1641, 1298, 1423, ?, 1397
a) 1396
b) 1390
d) 1360
e) 1456
Q.738. 145, 156, 143, 158, ?, 160
a) 131
b) 141
d) 148
e) 156
Q.739. 84, ?, 98, 490, 122.5 367.5
a) 588
b) 556
d) 540
e) 536
Q.740. 7, 20, 46, 98, 202, ?
a) 420
b) 410
c) 310
d) 320
e) None of these
Q.741. 10, 7, 16, 73, ?, 4507
a) 348
b) 502
c)448
d) 402
e) 366
Q.742. 129, 143, 115, 171, 59, ?
a) 182
b) 202
c)244
d) 264
e) 283
Q.743. 153, 154, 81, 36, 25, 30, ?
a) 45
b) 37
c) 39
d) 43
e) 41
Q.744. 4, 24, 62, 88, 132, ?
a) 100
b) 132
c) 164
d) 124
e) 160
Q.745. 59.76, 58.66, 56.46, 52.06, ? , 25.66
a) 42.22
b) 43.26
c) 40.34
d) 38.78
e) 39.22
Q.746. 36, 157, 301, 470, ? , 891
a) 692
b) 722
c) 682
d) 666
e) 625
Q.747. 27, 125, 343, 1331, ? , 4913
a) 2089
b) 2197
c) 2052
d) 2297
e) 2190
Q.748. 220, 430, 766, 1270, ?, 2980
a) 1950
b) 1990
c) 2040
d) 2090
e) 2130
Q.749. 102, 99, 104, 97, 106, ?
a) 98
b) 96
c) 95
d) 92
e) 97
Q.750. 6, 7, 16, 51, 208, ? , 6276
a) 941
b) 1024
c) 1045
d) 1340
e) 1145
Q.751. 4, 21, 56, 115, 204, ?
a) 319
b) 327
c) 323
d) 329
e) 339
1
7
13
31
Q.752. , 1 , ,
, 7,
,?
c) 109
c) 94
c) 2970
c) 8
c) 131
c) 7
c) 222
c) 23
c) 180
c) 51.75
c) 480
c) 1380
3
c) 144
a) 9
3
3
b)
3
43
3
c)
38
3
d) 8
e) None of these
Q.753. 3, 7, 13, 21, ?, 43
a) 45
b) 35
c) 31
d) 40
e) 38
c) 550
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
226
@Crossword2022
Q.754. 14, 27, 82, 327, 1636, ?
a) 9916
b) 9815
c) 9906
d) 9705
e) 9601
Q.755. 7, 15, ?, 88, 113, 329
a) 27
b) 25
c) 24
d) 31
e) None of these
Q.756. 53, 51.4, 48.2, 41.8, ?, 3.4
a) 31
b) 30
c) 29
d) 29.4
e) 29.6
Q.757. 1, 3, 9, 21, 41, ?
a) 61
b) 71
c) 83
d) 78
e) 68
Q.758. 114, 110, 101, ?, 60, 24
a) 91
b) 84
c) 87
d) 85
e) 83
Q.759. 343, ?, 125, 16, 27, 4
a) 216
b) 36
c) 49
d) 64
e) 81
Q.760. ?, 36, 37, 76, 307, 2460
a) 35.5
b) 48
c) 35
d) 64
e) 72
Q.761. 9, 15, 26, 42, 63, ?
a) 79
b) 87
c) 89
d) 77
e) None of these
Q.762. 72, 136, 161, 377, 426, ?
a) 938
b) 625
c) 728
d) 972
e) 826
Q.763. 120, 300, 483, 672, 873, ?
a) 1218
b) 1348
c) 1224
d) 1098
e) 1080
Q.764. ?, 48, 144, 36, 180, 30
a) 92
b) 78
c) 86
d) 96
e) 72
Q.765. 37, 39, 81, 247, ?, 4971
a) 723
b) 978
c) 842
d) 843
e) 993
Q.766. 12, 7, 8.5, 14.75, ?, 83
a) 30
b) 24
c) 32
d) 36
e) 48
Q.767. 12, 78, 395, 1584, 4755, ?
a) 9512
b) 9516
c) 9518
d) 9520
e) 9580
Q.768. 26, 53, 214, 1287, 10300, ?
a) 95000
b) 100005
c) 103000
d) 101005
e) 103005
Q.769. 4187, 2857, 2129, 1787, 1663, ?
a) 1647
b) 1642
c) 1627
d) 1637
e) 1630
Q.770. 27, 27, 54, 18, 72, ?
a) 19.6
b) 16.8
c) 18.8
d) 12.8
e) 14.4
Q.771. 24, 1354, 2081, 2421, ?, 2564
a) 2542
b) 2540
c) 2548
d) 2556
e) 2560
Q.772. 56, 8, 48, 9.6, ?, 12.8
a) 38.6
b) 38.4
c) 38.2
d) 38.8
e) 39.6
Q.773. 16, 256, 2048, 8192, 16384, ?
a) 16396
b) 16384
c) 16380
d) 16388
e) 16390
Q.774. 96, 52, 84, 218, 773, ?
a) 3496.5
b) 3486.5
c) 3490.5
d) 3486.5
e) 3488.5
Q.775. 1727, 998, 509, 212, ?, 2
a) 59
b) 63
c) 67
d) 69
e) 73
Q.776. 19, 26, 52, 115, 239, ?
a) 545
b) 454
c) 328
d) 426
e) 512
Q.777. 28, 98, 157, 205, 242, ?
a) 268
b) 364
c) 284
d) 424
e) 312
Q.778. 16, 8, 12, 30, ?, 472.5
a) 115
b) 225
c) 105
d) 120
e) 90
Q.779. 225, 250, 466, 515, 1027, ?
a) 1205
b) 1320
c) 1250
d) 1108
e) 1120
Q.780. 64, 64, 32, 96, 24, ?
a) 120
b) 105
c) 175
d) 150
e) 180
Q781. 4096, 1024, 256, ?, 16, 4
a) 24
b) 32
c) 64
d) 8
e) 12
Q.782. 24, 35, 48, 63, 80, ?
a) 115
b) 99
c) 103
d) 85
e) 80
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
227
@Crossword2022
Q.783. 154, 130, 108, 88, 70, ?
a) 66
b) 54
c) 57
d) 67
e) 61
Q.784. 18, 27, 45, 63, 99, ?
a) 117
b) 135
c) 81
d) 153
e) 171
Q 785. x, 756, 576, 414, 288, 234
a) multiple of 3
b) multiple of 5
c) prime number
d) both a and b
e) all a, b and c
Directions : What will come in place of the x and y in
the following number series and read the
option carefully.
Q786. 105, 217, 327, 434, 536, x , y
a) x is prime number
b) both x and y are prime number
c) x + y = 1348
d) both a and c
e) both b and c
Q787. 524, 523, 515, 488, 424, x
a) prime number b) odd number
c) multiple of 3 d) both a and c
e) both b and c
Q788. 472.5, 945, 630, 252, x , y
a) x > y
b) x < y
c) x >= y
d) x <= y
e) None of these
Q789. 1230, 1128, 1013, 886, 748, x, y
a) 3 is common factor of x and y
b) either x or y is prime number
c) 13 is common factor of x and y
d) both a and c
e) None of these
Q790. 2, 10, 48, 190, ?, 1134
a) 484
b) 568
c) 828
d) 684
e) 724
Q791. 2000, 1992, 1928, 1712, x, y
Value of (x+ y) is?
a) 1400
b) 1300
c) 1500
d) 1200
e) 1000
Q792. 8, 8, 16, 36, 88, x, y
Value of (y – x) is?
a) 514
b) 440
c) 504
d) 612
e) 528
Q793. 117.5, 117, 119, 111, 143, ?
a) 11
b) 15
c) 7
d) 18
e) 21
Q794. 12, 8, 10, 17, 36, x, y
Value of y - x is?
a) multiple of 3
b) multiple of 5
c) even number
d) all a, b and c
e) both a and c
Q795. x, y, 27, 9,36, 7.2
a) x >= y
b) x <= y
c) x > y
d) x < y
e) None of these
Q796. 102, 114, 129, 153, 204, x, y
Value y- x is?
a) odd number
b) even number
c) prime number
d) multiple of 7
e) both a and d
Q797. x, y , 818, 782, 998, –298
a) x >= y
b) x > y
c) x <= y
d) x < y
e) None of these
Direction: In this type of question a series is given.
Following the same pattern another series is
also given with some missing terms. We have
to find the missing term after finding the
pattern of two series.
Q798. 4, 2, 2, 3, 6, 15
8, __ , __ , __ , __ , ?
a) 20
b) 32
c) 24
d) 30
e) 18
Q799. 12, 28, 51, 81, 118, 162
?, __ , __ , __ , __ , 172
a) 22
b) 14
c) 36
d) 42
e) 18
Q800. 1.5, 5, 18, 76, 385, 2316
3 , __ , ? , __ , __ , __
a) 25
b) 27
c) 18
d) 21
e) 32
Q801. In the following series two series are given,
while second series has blanks, P & Q. If the
both series follow same logic, then find the
value come in the place of two given blanks P,
& Q of second series.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
228
@Crossword2022
18, 32, 90, 352, 1750 , 10488
P, ____, 30, ____, ____, Q,
a) 12 & 3228 b) 16 & 3128
c) 18 & 3248
d) 24 & 3296 e) 8 & 3288
Q.802. What will come in the place of a) , b) & c) in
second (II) number series according to
pattern of first (I) number series:
(I) 291, 363, 443, 531, 627, 731
(II) a) , 102, b), 198, c) 326
1. 66, 171, 324 2. 51, 146, 220
3. 66, 146, 291 4. 66, 146, 258
5. None of these
Q803. What will come in the place of a) , b) & c) in
second (II) number series according to
pattern of first (I) number series:
(I) 35, 90, 175, 320, 585, 1090
(II) 105, a) , b), 390, 655, c)
1. 160, 235, 1160
2. 160 , 245, 1160
3. 160, 245, 1150
4. 160, 245, 1120
5. 160, 235, 1140
Q804. In the following number series, find the value
of unknown quantity.
If one series is 1.5, 6, 22, 93, 471, 2833 and
a) 2369
b) 3553
d) 4145
e) 945
then x = ?
c) 2961
Q805. In the following number series, find the value
of unknown quantity.
A series is given as 6, 3, 3, 4.5, 9, 22.5, …. And
it’s pth term is 4252.5. Find the value of P.
a) 10
b) 11
d) 8
e) 12
c) 9
Q806. In the following number series, find the value
of unknown quantity.
A series is 113, 170, 232, 303, 399, 556, 838.
Another series is 93,
b) 443
d) 818
e) 909
c) 626
Q807. The following numbers form a series followed
by a (?). Find the odd one out first and then
find that what will come in place of the
question mark (?) according to the corrected
series?
125, 116, 118, 91, 97, 48, ?
a) 48, 62
b) 118, 56
c) 97, 45
d) 116, 52
e) 91, 54
Q808. In the question, three series I, II and III are
given. Find the value of x, y and z to establish
the correct relation among them and choose
the correct option.
(i) 86, 172, 284, 461, 760, x
(ii) y, 1064, 968, 920, 896, 884
(iii) 41, 21, 33, 85, 301, z
a) x = y = z b) x = y > z
c) x = y < z
d) x > y < z e) x > y > z
Q809. (i) 878, 905, 841, 966, x, 1093
(ii) 195, 451, y, 1096, 1495, 1952
(iii) 124, 908, 232, 808, 324, z
a) x > y = z b) x = y > z
c) x = z > y
d) y > x < z e) y < x < z
Q810. In the question, three series I, II and III are
given. Find the value of x, y and z to establish
the correct relation among them and choose
the correct option.
(i) 95, x, 688, 1372, 2181
(ii) 122, 129, 157, y, 332, 507
(iii) 204, 210, z, 225, 243, 288
a) x = y = z b) x = y > z
c) x = y < z
d) x > y < z e) x > y = z
Q811. In the question, three series I, II and III are
given. Find the value of x, y and z to establish
the correct relation among them and choose
the correct option.
(i) 180, 197, 178, 201, x, 203
(ii) 136, y, 221, 285, 366, 466
(iii) 49, 25, 39, 100, z, 1595.25
a) x = y = z b) x = y > z
c) x = y < z
d) x > y < z e) x > y > z
another series which follows same pattern as
given series is 2.5,
a) 808
.
Which follows same pattern as given number
series. Then m= ?
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
229
@Crossword2022
Q812. Which of the following pair of symbols will
define the relation between Quantity I and
Quantity II and between Quantity II and
Quantity III respectively?
a) =
b) >
c) <
d) ≥
e) ≤
F. # (relation cannot be established)
Quantity I: The following numbers form a series. Find
the value of x: 15, 20, x, 225, 980, 5025
Quantity II: The following numbers form a series.
Find the value of y: 5, 15, y, 135, 405,
1215
Quantity III: The following numbers form a series.
Find the value of z: 28, 40, z, 100, 148, 208
A. =
B. >
C. <
D. ≥
E. ≤
F. # (relation cannot be established)
a) C, B
b) E, A
c) B, C
d) A, E
e) B, D
Q813. 420, 428, 438, 440, 450, ?
a) 480
b) 452
c) 450
d) 476
e) 466
Q 814. 350, 348, 339, 311, 246, ?
a) 120
b) 124
c) 104
d) 144
e) 84
WRONG NUMBER SERIES
(815-1138): In each of the following questions, a
number series is given in which only one
term is wrong. Find out the wrong number.
Q815. 2, 5, 14, 41, 125, 365
a) 5
b) 14
c) 41
d) 125
e) 365
Q816. 1, 3, 8, 19, 42, 91
a) 42
b) 91
c) 19
d) 8
e) 3
Q817. 23, 30, 21, 32, 19, 35
a) 23
b) 30
c) 35
d) 19
e) 32
Q818. 10, 17, 26, 37, 50, 64, 82
a) 17
b) 37
c) 50
d) 82
e) 64
Q819. 16, 4, 8, 2, 6, 1
a) 6
b) 4
c) 8
d) 2
e) 16
Q820. 2, 11, 22, 37, 57, 87
a) 87
b) 11
d) 37
e) 22
Q821. 1, 2.4, 5.76, 14.824, 33.1776
a) 2.4
b) 14.824
d) 1
e) 5.76
Q822. 4, 11, 20, 33, 52, 77
a) 77
b) 11
d) 33
e) 52
Q823. 8, 4, 10, 5, 13.5, 6.25
a) 4
b) 13.5
d) 5
e) 6.25
Q824. 256, 400, 576, 788, 1024
a) 400
b) 576
d) 1024
e) 1156
Q825. 3.7, 8.7, 23.7, 48.7, 84.7, 128.7
a) 23.7
b) 48.7
d) 128.7
e) 8.7
Q826. 1, 14, 31, 64, 133, 264
a) 14
b) 31
d) 133
e) 64
Q827. 2, 1, 1, 2, 8, 32, 1024
a) 32
b) 2
d) 1
e) 1024
Q828. 168, 288, 360, 528, 841, 960
a) 168
b) 841
d) 360
e) 528
Q829. 7.2, 72, 9, 54, 13.5, 28
a) 72
b) 9
d) 13.5
e) 54
Q830. 10, 15, 24, 35, 54, 75, 100
a) 35
b) 75
d) 15
e) 54
Q831. 3, 2, 3, 6, 12, 37.5, 115.5
a) 37.5
b) 3
d) 2
e) 12
Q832. 2, 3, 11, 38, 102, 229, 443
a) 11
b) 229
d) 38
e) 3
Q833. 13, 25, 40, 57, 79, 103, 130
a) 25
b) 40
d) 79
e) 103
c) 57
c) 33.1776
c) 20
c) 10
c) 788
c) 84.7
c) 264
c) 8
c) 288
c) 28
c) 24
c) 6
c) 102
c) 57
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
230
@Crossword2022
Q834. 142, 119, 100, 83, 65, 59, 52
a) 65
b) 100
c) 59
d) 119
e) 52
Q835. 11, 75, 291, 803, 1813, 3531
a) 803
b) 1813
c) 3531
d) 75
e) 291
Q836. 3.6, 10, 22.8, 48.4, 99.8, 202
a) 22.8
b) 48.4
c) 99.8
d) 202
e) 10
Q837. 3, 4, 10, 33, 136, 685, 4216
a) 33
b) 136
c) 685
d) 4216
e) 10
Q838. 1020, 1152, 1292, 1440, 1592, 1760
a) 1152
b) 1760
c) 1440
d) 1592
e) 1292
Q839. 4.8, 2.4, 3.6, 12.6, 82.9, 859.95
a) 859.95
b) 2.4
c) 3.6
d) 12.6
e) 82.9
Q840. 14, 29, 41, 63, 65, 131, 133
a) 63
b) 131
c) 29
d) 41
e) 133
Q841. 2478, 819, 257, 84, 24, 5
a) 257
b) 24
c) 5
d) 819
e) 1
Q842. 4, 6, 12, 30, 90 , 315, 1240
a) 315
b) 90
c) 6
d) 12
e) 1240
Q843. 289, 266, 285, 270, 281, 275, 277
a) 266
b) 275
c) 277
d) 281
e) 285
Q844. 7, 13, 49, 295, 2305, 23041
a) 7
b)13
c) 49
d) 295
e) 2305
Q845. 196, 168, 143, 120, 99, 80, 63
a) 168
b) 120
c) 99
d) 196
e) 143
Q846. 9, 10, 27, 135, 945, 8505, 93555
a) 9
b) 135
c)10
d) 27
e) 8505
Q.847. 15, 37, 58, 78, 96, 115, 132
a) 115
b) 96
c)132
d)78
e) 37
Q.848. 154, 156, 147, 175, 100, 236, 19
a) 175
b) 19
c) 100
d) 147
e) 236
Q.849. 11, 20, 27, 45, 75, 121, 187
a) 27
b) 75
c)20
d) 11
e) 45
Q850. 3, 4, 9, 28, 113, 544, 3397
a) 9
b) 28
c) 113
d) 544
e) 4
Q851. 3, 5, 14, 48, 200, 1008, 6072
a) 200
b) 1008
c) 14
d) 5
e) 6072
Q852. 2, 6, 24, 96, 285, 568, 567
a) 285
b) 24
c) 567
d) 2
e) 568
Q853. 258, 130, 66, 34, 18, 8, 6
a) 8
b) 18
c) 6
d) 130
e) 34
Q854. 4, 10, 22, 46, 96, 190, 382
a) 8
b) 10
c) 96
d) 382
e) 190
Q855. 7, 30, 66, 117, 186, ? , 400
a) 255
b) 276
c) 287
d) 278
e) 308
Q856. 4, 9, 17, 36, ? , 143, 283
a) 72
b) 70
c) 68
d) 141
e) 69
Q857. 123, 340, 724, ?, 2186
a) 1320
b) 2184
c) 1324
d) 1322
e) 2190
Q858. 2, 4, 7, 12, 23, ?
a) 56
b) 67
c) 43
d) 148
e) 76
Q859. 129, 142, 181, ?, 337, 454
a) 324
b) 298
c) 272
d) 220
e) 246
Q.860 12, 22, 63, 246, 1235, 7404
a) 246
b) 7404
c) 12
d) 63
e) None of these
Q.861 312, 300, 264, 200, 120, 12
a) 312
b) 12
c) 200
d) 300
e) None of these
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
231
@Crossword2022
Q.862 1252, 250, 60, 20, 9, 7
a) 7
b) 60
c) 1252
d) 250
e) None of these
Q.863 24, 12, 15, 36, 90, 315
a) 12
b) 36
c) 90
d) 315
e) None of these
Q.864 549, 566, 601, 651, 719
a) 549
b) 566
c) 601
d) 651
e) 719
Q865. 8835, 9023, 9213, 9405, 9598, 9795
a) 9023
b) 9598
c) 9213
d) 9795
e) 8835
Q866. 1250, 500, 200, 80, 33, 12.8
a) 80
b) 12.8
c) 33
d) 500
e) 1250
Q867. 1716, 2185, 2730, 3360, 4080, 4896
a) 2185
b) 2730
c) 3360
d) 4896
e) 1716
Q868. 137, 274, 411, 548, 684, 822, 959
a) 959
b) 411
c) 274
d) 684
e) 822
Q869. 8, 12, 18, 27, 40.5, 60, 91.125
a) 8
b) 18
c) 60
d) 91.125
e) 12
Q. 870. 105, 127, 246, 282, 625, 689
a) 105
b) 282
c) 127
d) 625
e) 246
Q. 871 48, 60, 70, 78, 90, 88
A) 90
B) 78
C) 70
D) 48
E) 60
Q. 872.3840, 5760, 14400, 50380, 226800
a) 14400
b) 3840
c) 5760
d) 50380
e) 226800
Q. 873 64, 151, 266, 435, 660, 949
a) 64
b) 266
c) 660
d) 435
e) 151
Q. 874. 36, 39, 48, 55, 84, 111
a) 84
b) 36
c) 39
d) 55
e) 48
Q.875. 4, 5, 11, 34, 135, 686
a) 5
b) 135
c) 34
d) 686
e) 11
Q. 876. 80, 400, 100, 450, 125, 625
a) 400
b) 100
c) 125
d) 450
e) 80
Q. 877. 12, 13, 15, 23, 45, 165
a) 13
b) 165
c) 23
d) 45
e) 15
Q. 878. 5, 630, 696, 703, 705, 706
a) 696
b) 706
c) 630
d) 705
e) 703
Q.879. 24, 36, 60, 108, 204, 404
a) 36
b) 60
c) 108
d) 204
e) 404
Q.880. 42, 48, 33, 54, 24, 63
a) 24
b) 42
c) 48
d) 54
e) 63
Q.881 9, 18, 43, 92, 175, 294
a) 92
b) 175
c) 18
d) 43
e) 294
Q.882 6, 15, 50, 149, 446, 1337
a) 1337
b) 446
c) 149
d) 15
e) 50
Q.883 158, 78, 38, 18, 8, 5
a) 5
b) 78
c) 18
d) 8
e) 38
Q.884 32, 12, 24, 60, 210, 945
a) 210
b) 60
c) 12
d) 24
e) 32
Q.885 4, 11, 39, 163, 823, 4947, 34639
a) 11
b) 4
c) 4947
d) 39
e) Series is correct
Q.886. 19, 24, 33, 43, 55, 69, 85
a) 24
b) 19
c) 33
d) 55
e) 85
Q.887 36, 34, 22, -8, -64, -154 , -286
a) 36
b) 22
c) -8
d) -64
e) Series are correct
Q.888. 3, 8, 17, 36, 73, 146, 297
a) 3
b) 17
c) 297
d) 146
e) Series are correct
Q.889. 0, 1, 9, 36, 81, 225, 441
a) 0
b) 1
c) 36
d) 81
e) Series are correct
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
232
@Crossword2022
Q.890. 3, 8, 26, 93, 392, 1990, 11940
a) 1990
b) 8
c) 26
d) 392
e) 93
Q.891. 1729, 2745, 4097, 5833, 8001, 10648, 13825
a) 1729
b) 4097
c) 8001
d) 2745
e) 10648
Q.892. 13, 86, 498, 2485, 9936, 29805, 59608
a) 2485
b) 86
c) 29805
d) 9936
e) 498
Q.893. 4, 38, 82, 146, 240, 376, 558
a) 4
b) 38
c) 146
d) 240
e) 376
Q.894. 84, 140, 185, 221, 250, 276
a) 84
b) 276
c) 140
d) 185
e) 221
Q.895. 81, 225, 153, 189, 173, 180
a) 225
b) 81
c) 153
d) 173
e) 181
Q.896. 328, 352, 337, 345, 342, 343
a) 345
b) 328
c) 337
d) 343
e) 352
Q.897. 190, 195, 203, 217, 243, 285, 381
a) 371
b) 285
c) 195
d) 217
e) 243
Q.898. 64, 32, 48, 120, 420, 1892
a) 48
b) 420
c) 1892
d) 64
e) 32
Q.899. 3, 5, 13, 43, 175, 891
a) 891
b) 5
c) 43
d) 175
e) 13
Q.900. 120, 135, 180, 255, 365, 495
a) 495
b) 180
c) 365
d) 135
e) 255
Q.901. 325, 343, 307, 361, 289, 375
a) 361
b) 307
c) 289
d) 325
e) 375
Q.902. 178, 184, 211, 227, 352, 388
a) 178
b) 352
c) 388
d) 184
e) 227
Q.903. 197, 180, 158, 123, 75, 12
a) 75
b) 197
c) 12
d) 180
e) 123
Q.904. 16, 1, 0, 1, 16, 32, 256
a) 1
b) 16
c) 32
d) 256
e) 0
Q.905. 6, 8, 33, 116, 604, 3594, 25207
a) 33
b) 116
c) 3594
d) 25207
e) 604
Q.906. 588, 590, 593, 602, 623, 664, 735
a) 735
b) 588
c) 602
d) 623
e) 593
Q.907 522, 352, 231, 182, 157, 148, 144
a) Series is correct b) 157
c) 231
d) 522
e) 352
Q.908 –4, 12, –36, 60, –90, 90, 0
a) –36
b) 90
c) –90
d) 0
e) –4
Q.909 36, 71, 117, 175, 246, 332
a) 71
b) 117
c) 246
d) 175
e) 332
Q.910 18, 72, 36, 150, 72, 288
a) 72
b) 288
c) 150
d) 36
e) 18
Q.911 25, 31, 44, 63, 93, 135
a) 31
b) 44
c) 93
d) 63
e) 135
Q.912 15, 27, 51, 87, 135, 196
a) 87
b) 27
c) 15
d) 51
e) 196
Q.913 47, 57, 81, 130, 211, 332
a) 57
b) 130
c) 211
d) 332
e) 81
Q.914 92, 109, 72, 129, 62, 149
a) 129
b) 62
c) 109
d) 72
e) 149
Q.915 125, 155, 215, 305, 425, 555
a) 215
b) 425
c) 155
d) 555
e) 305
Q.916 102, 115, 132, 151, 174, 203
a) 151
b) 132
c) 115
d) 174
e) None of these
Q.917 74, 70, 81, 63, 88, 52
a) 81
b) 88
c) 70
d) 63
e) None of these
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
233
@Crossword2022
Q.918 120, 140, 180, 220, 320, 420
a) 180
b) 420
c) 140
d) 220
e) 320
Q.919 124, 268, 437, 635, 858, 1114
a) 1114
b) 635
c) 124
d) 437
e) 268
Q.920 142, 179, 138, 181, 136, 187
a) 138
b) 136
c) 187
d) 181
e) 142
Q.921 172, 192, 222, 254, 320, 392
a) 172
b) 392
c) 320
d) 254
e) 222
Q.922 121, 148, 202, 285, 391, 526
a) 285
b) 202
c) 526
d) 121
e) 148
Q.923 112, 56, 84, 210, 735, 2940
a) 112
b) 56
c) 735
d) 210
e) 2940
Q.924 17, 42, 150, 735, 4374, 30569
a) 4374
b) 30569
c) 735
d) 42
e) 150
Q.925 32, 74, 200, 500, 1250, 3125
a) 1250
b) 500
c) 200
d) 74
e) 3125
Q.926 80, 81, 145, 194, 1186, 1363
a) 194
b) 145
c) 80
d) 81
e) 1186
Q.927 45, 48, 65, 72, 77, 80
a) 48
b) 65
c) 45
d) 72
e) 77
Q.928 2240, 3360, 8400, 29400, 13240
a) 132300
b) 3360
c) 8400
d) 29400
e) 2240
Q.929. 15, 78, 382, 1913, 9569, 47850
a) 1913
b) 78
c) 15
d) 9569
e) 382
Q.930 226, 333, 454, 595, 754, 931
a) 333
b) 595
c) 226
d) 454
e) 754
Q.931 35, 170, 399, 728, 1155, 1680
a) 35
b) 399
c) 170
d) 1155
e) 728
Q.932 5, 7, 14, 28, 53, 85
a) 53
b) 5
c) 14
d) 28
e) 7
Q.933 16, 35, 72, 135, 224, 351
a) 72
b) 16
c) 135
d) 35
e) 224
Q.934 12, 14, 24, 135, 1246, 12357
a) 24
b) 12357
c) 135
d) 14
e) 1246
Q.935. 257, 190, 126, 70, 17, -30, -73
a) 126
b) -73
c) 17
d) 70
e) 190
Q.936. 17, 19, 30, 33, 45, 49, 64, 67
a) 67
b) 30
c) 64
d) 49
e 19
Q.937. -1, 0, 1, 10, 160, 4026
a) -1
b) 160
c) 1
d) 10
e) 0
Q.938 55, 90, 133, 184, 241, 310, 133
a) 310
b) 184
c) 90
d) 241
e) None of these
Q.939 1596, 1593, 1585, 1570, 1548, 1511
A) 1585
B) 1511
c) 1593
d) 1570
e) 1548
Q.940 20, 30, 51, 82, 130, 190
a) 190
b) 82
c) 130
d) 30
e) 51
Q.941 25, 37, 67, 123, 257, 437
a) 67
b) 123
c) 25
d) 257
e) 37
Q.942 71, 75, 59, 95, 31, 131, 13
a) 75
b) 95
c) 31
d) 131
e) 13
Q.943 8, 20, 36, 56, 81, 108, 140
a) 36
b) 56
c) 81
d) 108
e) 140
Q.944 100, 50, 55, 75, 150, 375, 1125
a) 100
b) 55
c) 150
d) 375
e) 1125
Q.945 4, 8, 64, 256, 4096, 131072, 8388608
a) 64
b) 4256
c) 096
d) 131072
e) 8388608
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
234
@Crossword2022
Q.946 1, 14, 40, 92, 183, 336, 534
a) 1
b) 40
c) 92
d) 336
e) 534
Q.947 480, 960, 320, 1280, 272 , 1536
a) 960
b) 272
c) 1280
d) 320
e) 1536
Q.948. 210, 197, 171, 135 , 80, 15
a) 197
b) 15
c) 80
d) 171
e) 135
Q.949. 4, 3, 5, 14, 60 , 528
a) 60
b) 4
c) 5
d) 14
e) 528
Q.950. 9, 63 , 25, 216, 49, 512
a) 25
b) 216
c) 63
d) 512
e) 49
Q.951 2, 4, 11, 37, 230, 771
a) 2
b) 4
c) 11
d) 37
e) 230
Q.952 140, 28, 11.2, 6.72, 5.576, 5.376
a) 5.376
b) 5.176
c) 5.524
d) 5.124
e) 5.576
Q.953 11.6, 50, 69.2, 78.8, 83.6, 88
a) 88
b) 78.8
c) 83.6
d) 69.2
e) 50
Q.954 16, 87, 169, 273, 410, 591
a) 87
b) 169
c) 273
d) Series is correct
e) 410
Q.955 36, 596, 1072, 1468, 1790, 2045
a) 1072
b) 1468
c) 1790
d) 2045
e) Series is Correct
Q.956 198, 246, 283, 311, 332, 350
a) 350
b) 311
c) 332
d) 283
e) 246
Q.957 17, 34, 68, 119, 186, 272
a) 34
b) 68
c) 119
d) 186
e) 272
Q.958. 128, 62, 32, 16, 8, 4
a) 62
b) 32
c) 16
d) 8
e) 4
Q.959 145, 141, 149, 138, 153, 133
a) 141
b) 149
c) 138
d) 153
e) 133
Q.960 1, 5, 25, 125, 635, 3125
a) – 1
b) 125
c) 3125
d) 635
e) 5
Q.961 5, 6, 14, 48, 184, 925
a) 6
b) 925
c) 48
d) 184
e) 14
Q.962 7, 4, 5, 8.5, 20, 52.5, 160.5
a) 4
b) 20
c) 8.5
d) 52.5
e) 7
Q.963 160, 207, 260, 319, 380, 449, 518
a) 160
b) 319
c) 207
d) 449
e) 380
Q.964 12 , 6 , 6, 12, 36, 231, 1848
a) 12
b) 1848
c) 36
d) 231
e) Series is Correct
Q.965 14700, 2100, 12600, 2500, 10080, 3360,
6720
a) 2100
b) 12600
c) 10080
d) 3360
e) 2500
Q.966 20.25, 23.04, 26.01, 29.16, 32.56, 36.00, 39.69
a) 36.00
b) 23.04
c) 32.56
d) 20.25
e) 29.16
Q.967 102, 83, 66, 50, 38, 27, 18
a) 102
b) 83
c) 38
d) 50
e) 66
Q.968 2, 12, 36, 80, 150, 251, 392
a) 36
b) 80
c) 251
d) 392
e) 150
Q.969. 2, 3, 5, 7, 11, 15, 17
a) 3
b) 11
c) 15
d) 17
e) 7
Q.970 11, 22, 34, 47, 61, 77, 92
a) 77
b) 61
c) 92
d) 22
e) 34
Q.971 2, 6, 11, 23, 47, 95, 191
a) 6
b) 11
c) 47
d) 2
e) 23
Q.972 8, 12, 24, 60, 180, 640, 2520
a) 60
b) 180
c) 2520
d) 640
e) 8
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
235
@Crossword2022
Q.973 -1, 1, 2, 6, 14, 30, 62
a) 1
b) 62
c) -1
d) 14
e) 30
Q.974 3, 4, 12, 41, 103, 228, 444
a) 228
b) 3
c) 41
d) 444
e) 103
Q.975 5, 3, 4, 7, 17, 45, 138
a) 3
b) 7
c) 17
d) 45
e) 138
Q.976 17, 25, 38, 53, 79, 107, 140
a) 79
b) 140
c) 25
d) 53
e) 107
Q.977 110, 156, 210, 282, 342, 420, 506
a) 342
b) 282
c) 110
d) 420
e) 506
Q.978 2000, 2000, 1000, 3000, 600, 3750, 625
a) 1000
b) 3750
c) 625
d) 600
e) 3000
Q.979. 2, 2, 5, 17, 72, 359, 2159
a) 72
b) 359
c) 5
d) 17
e) 2159
Q.980 9000, 7920, 7020, 6300, 5760, 5400, 5200
a) 5400
b) 9000
c) 6300
d) 7020
e) 5200
Q.981 100, 120, 154, 192, 248, 320, 410
a) 100
b) 248
c) 410
d) 154
e) 120
Q.982 50, 65, 90, 132, 190, 265
a) 50
b) 190
c) 132
d) 90
e) 65
Q.983 613, 609, 595, 557, 493, 393
a) 613
b) 493
c) 609
d) 557
e) 595
Q.984 84, 103, 126, 147, 172
a) 172
b) 147
c) 84
d) 126
e) 103
Q.985 40, 108, 210, 340, 504, 700
a) 40
b) 340
c) 108
d) 210
e) 504
Q.986 4, 7, 17, 30, 54, 89
a) 4
b) 7
c) 30
d) 54
e) 17
Q.987 25, 29, 35, 47, 77, 167, 480
a) 35
b) 167
c) 77
d) 29
e) 480
Q.988 31, 16, 17, 29, 56, 142.5
a) 16
b) 56
c) 31
d) 142.5
e) 29
Q.989 3, 7, 23, 95, 475, 2879
a) 475
b) 7
c) 2879
d) 3
e) 95
Q.990 1, 5, 35, 305, 5005, 85085
a) 85085
b) 1
c) 5005
d) 305
e) 5
Q.991 12, 137, 101, 440, 380, 1109
a) 1109
b) 380
c) 440
d) 101
e) 137
Q.992 6, 10, 36, 144, 640, 3320, 19944
a) 6
b) 10
c) 36
d) 144
e) 3320
Q.993 35, 54, 77, 104, 135, 170, 207
a) 35
b) 104
c) 207
d) 135
e) 170
Q.994 6, 61, 488, 2935, 11741, 23483
a) 61
b) 488
c) 11741
d) 2935
e) 23483
Q.995 67, 408, 446, 571, 587, 614, 618
a) 67
b) 408
c) 571
d) 587
e) 614
Q.996 16, 140, 248, 342, 424, 496, 558
a) 424
b) 496
c) 140
d) 558
e) 16
Q.997 23, 38, 55, 68, 83, 92, 107
a) 23
b) 55
c) 92
d) 68
e) 38
Q.998 2, 5, 14, 43, 122, 365, 1094
a) 14
b) 5
c) 2
d) 43
e) 1094
Q.999 12, 21, 46, 95, 216, 383, 674
a) 383
b) 12
c) 21
d) 46
e) 216
Q.10001728, 1560, 1420, 1308, 1224, 1166, 1140
a) 1560
b) 1308
c) 1728
d) 1166
e) 1140
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
236
@Crossword2022
Q.1001 3, 10, 31, 94, 283, 848, 2551
a) 31
b) 10
c) 2551
d) 848
e) 3
Q.1002 8, 127, 1015, 4059, 8117, 8116, 4055
a) 8
b) 4055
c) 127
d) 4059
e) None of these
Q.1003 180, 200, 225, 254, 286, 322, 355
a) 322
b) 180
c) 286
d) 355
e) 200
Q.1004 1750, 1750, 1743, 1717, 1654, 1529, 1315
a) 1750
b) 1743
c) 1529
d) 1717
e) 1315
Q.1005. 5, 19, 75, 299, 1195, 4779, 19125
a) 5
b) 19
c) 299
d) 4779
e) 19125
Q.1006 12, 28, 60, 124, 252, 506, 1020
a) 506
b) 12
c) 28
d) 60
e) 124
Q.1007. 5, 18, 34, 54, 79, 110, 158
a) 34
b) 5
c) 18
d) 54
e) 158
Q.1008 8, 48, 240, 960, 2400, 5760, 5760
a) 2400
b) 2560
c) 2700
d) 769
e) 197
Q.1015 31, 43, 59, 73, 91
a) 59
b) 91
c) 73
d) 31
e) 43
Q.1016 224, 112, 112, 168, 338, 840
a) 840
b) 168
c) 112
d) 338
e) 224
Q.1017 18, 22, 27, 36, 45, 64, 99
a) 27
b) 22
c) 45
d) 36
e) 18
Q.1018 64, 34, 36, 56, 114 , 287, 860
a) 114
b) 860
c) 64
d) 36
e) 56
Q1019 512, 580, 524, 572, 536, 560, 548
a) 524
b) 512
c) 572
d) 580
e) 548
Q.1020 7200, 1200, 240, 60, 20, 15, 10
a) 15
b) 10
c) 1200
d) 60
e) 20
Q.1021 8, 8, 10, 16, 28, 48, 80
a) 10
b) 16
c) 80
d) 48
e) 28
Q.1022. 2, 3, 6, 22, 89, 446, 2677
a) 2677
b) 446
c) 89
d) 6
e) 3
Q.1023 17, 20, 25, 37, 57,87,129
a) 17
b) 129
c) 25
d) 87
e) 20
Q.1024 128, 64, 96, 240, 840, 3800, 20790
Q.1009 64, 58, 66, 62, 68, 64, 70
a) 64
b) 58
c) 62
d) 70
e) 66
Q.1010. 64, 56, 65, 49, 74, 38, 87
a) 64
b) 69
c) 88
d) 89
e) 66
Q.1011. 1250, 1263, 1280, 1299, 1322, 1353, 1382
a) 1263
b) 1382
c) 1299
d) 1353
e) 1250
Q.1012 15, 23, 50, 112, 239, 455
a) 50
b) 23
c) 112
d) 455
e) None of these
Q.1013 82, 50, 66, 58, 64, 60
a) 64
b) 50
c) 58
d) 66
e) 82
Q.1014 44, 74, 130, 264, 444, 750
a) 44
b) 444
c) 264
d) 74
e) 130
a) 3800
b) 128
d) 96
e)240
c) 20790
Q.1025 14, 20, 40, 82, 154, 264, 450
a) 154
b) 20
d) 14
e) 450
c) 264
Q.1026 2, 1, 4, 9, 40, 196, 1176
a) 196
b) 4
d) 1176
e) 9
c) 40
Q.1027 2, 5, 11, 35, 143, 719, 4319
a) 11
b) 719
d) 4319
e) 2
c) 5
Q.1028 158, 156, 168, 148, 176, 140, 184
a) 158
b) 148
d) 156
e) 176
c) 140
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
237
@Crossword2022
Q.1042 16, 9, 10, 16, 34, 83.5, 251.5
a) 16
b) 10
c) 34
d) 83.5
e) 251.5
Q.1043 74, 100, 160, 188, 250, 276, 338
a) 250
b) 160
c) 100
d) 276
e) 188
Q.1044 32, 48, 90, 240, 720, 2520, 10080
a) 90
b) 720
c) 2520
d) 48
e) 32
Q.1045 12, 1740, 1619, 2619, 2538, 3050, 3000
a) 3000
b) 3050
c) 1740
d) 2619
e) 1619
Q.1046 121, 188, 270, 328, 419, 466, 568
a) 121
b) 188
c) 328
d) 568
e) 466
Q.1047 14, 24, 72, 288, 1440, 8640, 60480
a) 14
b) 60480
c) 8640
d) 24
e) 288
Q.1048 2, 4, 12, 48, 250, 1440
a) 2
b) 4
c) 12
d) 48
e) 250
Q1049. 7, 10, 17, 27, 44, 71, 116, 186
a) 27
b) 44
c) 71
d) 116
e) 186
Q1050. 12, 24, 72, 288, 1440, 8645, 60480
a) 12
b) 288
c) 1440
d) 8645
e) 60480
Q1051. 2, 8, 18, 32, 50, 72, 99
a) 2
b) 18
c) 50
d) 72
e) 99
Q1052. 5, 6, 14, 43, 184, 925
a) 43
b) 6
c) 184
d) 14
e) 925
Q.1053 16, 24, 35, 52, 78, 98
a) 98
b) 78
c) 24
d) 35
e) 52
Q.1054 2240, 3360, 8400, 29400, 132320
a) 132320
b) 3360
c) 8400
d) 29400
e) 2240
Q.1055 217, 204, 173, 136, 89, 32
a) 32
b) 136
c) 173
d) 89
e) 204
Q.1029 3, 3, 9, 45, 313, 2835, 31185
a) 31185
b) 9
d) 2835
e) 45
c) 313
Q.1030 10, 260, 480, 685, 860, 1010, 1135
a) 480
b) 685
d) 1010
e) 1135
c) 860
Q.1031 229, 240, 257, 280, 311, 352, 400
a) 229
b) 400
d) 311
e) 352
c) 257
Q.1032 1201, 1200, 1197, 1188, 1161, 1082, 837
a) 1200
b) 1188
d) 1201
e) 1082
c) 837
Q.1033 6, 6.6, 7.8, 9.6, 12, 16.2
a) 9.6
b) 12
d) 16.2
e) 6.6
c) 7.8
Q.1034 80, 240, 600, 1200, 1800, 1200, 900
a) 900
b) 1200
e) 80
d) 240
e) 600
Q.1035 4, 4100, 5124, 5380, 5444, 5460, 5468
a) 5468
b) 5444
e) 4100
d) 4
e) 5124
Q.1036 576, 484, 400, 324, 256, 216, 144
a) 144
b) 256
c) 216
d) 576
e) 484
Q.1037 8, 15, 29, 57, 112, 225, 449
a) 112
b) 15
e) 8
d) 57
e) 225
Q.1038 132, 156, 182, 210, 235, 272, 306
a) 306
b) 132
c) 235
d) 272
e) 156
Q.1039 100, 148, 220, 316, 436, 580, 752
a) 752
b) 220
c) 316
d) 100
e) 436
Q.1040 12, 6, 6, 12, 48, 382, 6144
a) 6144
b) 6
c) 48
d) 382
e) 12
Q.1041 140, 137, 131, 120, 110, 95, 77
a) 140
b) 120
c) 131
d) 77
e) 95
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
238
@Crossword2022
Q.1056 17, 32, 62, 124, 242, 482, 962
a) 62
b) 17
c) 32
d) 242
e) 124
Q.1057 50 51 47 56 42 65 29
a) 51
b) 47
c) 56
d) 42
e) 65
Q.1058 48, 26, 28, 44, 88, 227, 683
a) 683
b) 48
c) 223
d) 26
e) 88
Q.1059 280, 204, 264, 216, 252, 228, 240
a) 280
b) 264
c) 240
d) 228
e) 204
Q.1070 1634, 905, 562, 439, 410, 409
a) 439
b) 410
c) 409
d) 1634
e) 905
Q.1071 5, 25, 129, 780, 5441, 43529
a) 5441
b) 129
c) 25
d) 780
e) 5
Q.1072 16, 40, 100, 250, 630, 1562.5
A) 630
B) 40
C) 16
D) 100
E) 250
Q.1073 2.5, 5, 12.5, 37.5, 131.25, 520
a) 5
b) 12.5
c) 37.5
d) 131.25
e) 520
Q.1074 5, 23, 43, 66, 94, 131
a) 23
b) 43
c) 66
d) 131
e) 94
Q.1075 4, 4, 7, 26, 183, 1790
a) 4
b) 7
c) 1790
d) 183
e) 26
Q.1076 12, 36, 6, 18, 3, 10, 1.5
a) 10
b) 36
c) 18
d) 3
e) 1.5
Q.1077 4.5, 3, 12, 25.5, 27, 40.5, 49.5, 48.5
a) 48.5
b) 12
c) 25.5
d) 27
e) 49.5
Q.1078 5531, 5506, 5425, 5304, 5135, 4910, 4621
a) 5531
b) 5425
c) 4621
d) 5135
e) 5506
Q.1079 6, 7, 9, 13, 26, 37, 69
a) 7
b) 26
c) 69
d) 37
e) 9
Q.1080 1, 3, 10, 36, 152, 760, 4632
a) 3
b) 36
c) 4632
d) 760
e) 152
Q.1081 157.5, 45, 15, 6, 3, 2, 1
a) 1
b) 2
c) 6
d) 157.5
e) 45
Q.1082 216, 243, 512, 729, 1000, 1331
A) 216
B) 512
C) 729
D) 243
E) 1331
Q.1083 65, 127, 219, 348, 517
a) 65
b) 348
c) 517
d) 219
e) 127
Q.1060 3600, 600, 120, 30, 10, 5, 2.5
a) 3600
b) 5
c) 10
d) 2.5
e) 120
Q.1061 4, 5, 10, 34, 94, 214, 424
a) 424
b) 5
c) 214
d) 4
e) 10
Q.1062 4, 6, 15, 49, 201, 1005, 6073
a) 6073
b) 6
c) 201
d) 4
e) 1005
Q.1063 7, 8, 18, 57, 228, 1165, 6996
a) 8
b) 18
c) 57
d) 228
e) 1165
Q.1064 14, 78, 42, 58, 54, 56
a) 58
b) 42
c) 56
d) 78
e) 54
Q.1065 800, 796, 780, 744, 680, 520
a) 520
b) 744
c) 680
d) 780 e) none of these
Q.1066 150, 158, 174, 198, 244, 270
a) 198
b) 244
c) 174
d) 270
e) None of these
Q.1067 16, 140, 248, 342, 424, 496,
558
a) 424
b) 496
c) 140
d) 558
e) 16
Q.1068 1597, 1741, 1847, 1905, 1941, 1957
a) 1905
b) 1847
c) 1957
d) 1741
e) 1597
Q.1069 28, 66, 128, 224, 348, 518
a) 348
b) 224
c) 66
d) 518
e) 28
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
239
@Crossword2022
Q.1084 115, 59, 33, 22, 18.5, 16, 20.875
a) 20.875
b) 115
c) 59
d) 22
e) 16
Q.1085 951, 887, 857, 839, 831, 827, 825
a) 887
b) 951
c) 857
d) 831
e) 839
Q.1086 80, 81, 145, 194, 1186, 1363
a) 194
b) 145
c) 80
d) 81
e) 1186
Q.1087 224, 118, 184, 468, 1648, 7421.5
a) 224
b) 118
c) 1648
d) 468
e) 184
Q.1088 4498, 4888, 5336, 5846, 6422, 7070
a) 5846
b) 4498
c) 5336
d) 7070
e) 6422
Q.1089 122, 125.2, 131.6, 141.2, 152, 170
a) 125.2
b) 131.6
c) 141.2
d) 170
e) 152
Q.1090 140, 160, 182, 206,
234, 260
a) 140
b) 234
c) 182
d) 206
e) 260
Q.1091 3671, 2341, 4537, 1163, 6072, - 783
a) 6072
b) 2341
c) -783
d) 3671
e) 1163
Q.1092 476, 467, 483, 458, 494, 442
a) 467
b) 558
c) 483
d) 442
e) 494
Q.1093 157,
172,
127,
204,
97
a) 157
b) 172
c) 127
d) 204
e) 97
Q.1094 32,
18,
10.8,
6.48,
3.888
a) 32
b) 18
c) 10.8
d) 6.48
e) 3.888
Q.1095 42, 45,
93,
282,
1131,
5652
a) 45
b) 93
c) 282
d) 1131
e) 5652
Q.1096 0, 4, 18, 54, 100, 180
a) 0
b) 18
c) 54
d) 100
e) 180
Q.1097 37, 75, 77, 308, 313, 1878, 1885
a) 77
b) 1885
c) 313
d) 1878
e) 75
Q.1098 2, 17, 47, 92, 146, 227
a) 146
b) 17
d) 2
e) 92
c) 47
Q.1099 270, 267, 260, 235, 186, 105
a) 267
b) 235
d) 105
e) 186
c) 260
Q.1100 0.4, 2, 9, 36, 126, 462, 945
a) 462
b) 126
d) 36
e) 2
c) 9
Q.1101 24, 12, 15, 45, 157.5, 708.75
a) 12
b) 24
d) 157.5
e) 15
Q.1102 15,
91,
457,
a) 457
1831,
10997
c) 10998
e) 1831
17,
45,
108,
a) 220
b) 390
d) 108
e) 45
Q.1104 10,
5497,
b) 10997
d) 91
Q.1103 10,
c) 45
30,
90,
450,
b) 34650
d) 3150
e) 30
546,
754,
b) 546
d) 1078
e) 1170
127,
3150,
936,
a) 936
Q.1106 100,
252,
390
c) 10
a) 10
Q.1105 325,
220,
34650
c) 3150
1078,
1170
c) 325
877,
a) 4002
b) 252
d) 127
e) 19625
4002,
19627
c) 100
Q.1107 914, 1122, 1330, 1535, 1735, 1928, 2110
a) 1122
b) 1535
d) 914
e) 2110
Q.1108 2160,
360,
72,
a) 2160
b) 18
d) 72
e) 9
Q.1109 545,
520,
568,
18,
c) 1928
9,
3,
3
c) 360
499,
a) 520
b) 545
d) 568
e) 476
Q.1110 192, 202, 210, 216, 225,
a) 210
b) 202
d) 192
e) 243
591,
476, 61
c) 614
243,
288
c) 288
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
240
@Crossword2022
Direction : In the following wrong number series
which of the following option will replace
the wrong number according to given
pattern of series.
Q1111. 1152, 1058, 968, 882, 800, 720, 648
a) None of the given option will replace the
wrong number
b) 1064
c) 712
d) 652
e) 884
Q1112. 36, 54, 90, 126, 198,
234, 306
a) 124
b) 136
c) 132
d) 128
e) Series is correct
Q1113. 2740, 165, 1724, 117, 1004, 77, 508
a) None of the given option will replace the
wrong number
b) 510
c) 118
d) 996
e) 119
Q1114. 4, 47.5, 474.5, 3795.5, 22772.5, 91090.5, 182178.5
a) 91089.5
b) 49.5
c) 6
d) 3790.5
e) Series is correct
Q1115. 24, 145, 714, 2855, 8564, 17127, 17126
a) None of the given option will replace the
wrong number
b) 8566
c) 17129
d) 143
e) 716
Q1116. 40, 60, 95, 133, 186, 250, 325
a) 186
b) 325
c) 91
d) 250
e) 133
Q1117. 36, 34, 22, -8, -64, -154, -286
a) 36
b) 22
c) 22
d) -154
e) Series are correct
Q.1118 6, 6.5, 14.5, 52.0, 187.5, 942.0
a) 11
b) 4
c) 4947
d) 39
e) 46
Q.1119 48, 72, 108, 170, 243, 364.5
a) 364.5
b) 108
c) 162
d) 243
e) 72
Q.1120 457, 241, 112, 52, 25, 17, 16
a) 241
b) 17
c) 52
d) 116
e) 16
Q.1121 72550, 72415, 72275, 72136, 71996, 71855
a) 72413
b) 72550
c) 72275
d) 72136
e) 71996
Q.1122 36, 25, 32, 22, 30, 19, 27
a) 25
b) 19
c) 30
d) 33
e) 22
Q.1123 144, 74, 74, 111, 222, 555, 1665
a) 1665
b) 222
c) 148
d) 74
e) None of the given number is wrong
Q.1124 1152, 1058, 968, 882, 800, 720, 648
a) None of the given option will replace the
wrong number
b) 1064
c) 722
d) 652
e) 884
Q.1125 450, 451, 459, 486, 550, 700
a) 486
b) 550
c) 675
d) 459
e) None of these
Q.1126 2740, 165, 1724, 117, 1004, 77, 508
a) None of the given option will replace the
wrong number
b) 510
c) 118
d) 996
e) 119
Q.1127 4, 47.5, 474.5, 3795.5, 22772.5, 91090.5,
182178.5,
a) 91089.5 b) 49.5
c) 6
d) 3790.5
e) Series is correct
Q.1128 24, 145, 714, 2855, 8564, 17127, 17126
a) None of the given option will replace the
wrong number
b) 8566
c) 17129
d) 143
e) 716
Q1129. 168, 88, 128, 110, 118, 113
a) 108
b) 168
c) 88
d) 128
e) 118
Q1130. 64, 32, 34, 48, 96, 240
a) 64
b) 32
c) 96
d) 48
e) 34
Q1131. 17, 25, 35, 47, 63
a) 17
b) 35
c) 47
d) 63
e) 61
Q1132. 38, 76, 95, 133, 209, 247
a) 76
b) 209
c) 133
d) 38
e) 95
Q1133. 18, 17, 32, 92, 368, 1835, 11004
a) 17
b) 93
c) 1835
d) 32
e) 11004
Q1134. 126, 217, 344, 513, 730, 999
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
241
@Crossword2022
d) 1007
e) 1183
Q1144.Find the next term in the series.
181, 250, 381, 604, 955, ?
a) 1532
b) 1344
c) 1545
d)1332
e) 1476
Q1145.Find the next term in the series.
22, 66, 264, 1320, 7920, ?
a) 55290
b) 55440
c) 55300
d) 55520
e) 55500
Q1146.Find the next term in the series.
7, 20, 59, 124, 215, ?
a) 358
b) 332
c) 360
d) 346
e) 322
Q1147. Find the next term in the series.
10, 17, 26, 37, 50, ?
a) 81
b) 82
c) 65
d) 83
e) 69
Q1148. In the following question, three series I, II
and III are given following the same pattern.
Read the given information carefully and
answer the related questions.
Series I 7, 15, A, 67, 138, 281
Series II 4, 9, 20, 43, 90, 5B
Series III 11, 23, 48, 3C, 202, 409
What is the value of 3A - 2B + C?
a) 55
b) 43
c) 27
d) 65
e) 39
Q1149. In the following question, three series I, II
and III are given following the same pattern.
Read the given information carefully and
answer the related questions.
Series I 7, 15, A, 67, 138, 281
Series II 4, 9, 20, 43, 90, 5B
Series III 11, 23, 48, 3C, 202, 409
Which of the following statement is true?
(i) B is 24 less than twice of A.
(ii) The average of B and C is more than A.
(iii) A < B > C
a) Only (ii)
b) Only (ii) and (iii)
c) Only (i) and (ii) d) Only (i)
e) All (i), (ii) and (iii)
Q1150. 7, 12, 21, 38, ___, ___.
a) 344
b) 1001
c) 513
d) 730
e) 217
Q1135. 80, 40, 60, 180, 525, 2362.5
a) 2362.5
b) 40
c) 525
d) 150
e) 60
Q1136. 154, 156, 147, 175, 100, 236, 19
a) 154
b) 147
c) 110
d) 121
e) 145
Q1137 41, 21, 22, 34, 71, 180
a) 41
b) 22
c) 71
d) 180
e) 34
Q1138. 20 , 29 , 47 , 83 , 155 , 290
a) 29
b) 155
c) 290
d) 20
e) 47
LATEST PATTERN BASED NUMBER SERIES
QUESTIONS FOR BANK MAINS EXAM
Q1139. 7, ___, 33, 75, 177, 435, ___.
What is the absolute difference between the
two missing numbers?
a) 1176
b) 1098
c) 1242
d) 1064
e) 1024
Q1140. 6, 4, 11, 29, 121, 600, 13, _, _, _, _, ?
a) 121 and 289
b) 600 and 1439
c) 29 and 8627
d) 11 and 1439
e) 4 and 289
Direction: In the following questions, two series I
and II are given. All series are following the
same pattern. Read the given information
carefully and answer the related questions.
Series I: 12, 26, 42, 60, A, 102
Series II: 48, 62, B, 96, 116, 2C
Q1141. What is the value of (2C + b)/(A - b)?
a) 102
b) 108
c) 98
d) 112
e) 110
Q1142.What should come in place of the series given
below?
A/2, B/2, (C + 5)/2, (C - 1)/2, __
a) 28
b) 29
c) 30
d) 31
e) 32
Q1143.Find the next term in the series.
163, 263, 407, 603, 859, ?
a) 1295
b) 1256
c) 1337
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
242
@Crossword2022
What are the two missing numbers in the
series?
a) 71, 136 b) 78, 140
c) 88, 160
d) 64, 80
e) 121, 141
Q1151. There are 3 series. Find out the values of 'a', 'b'
and 'c' and establish a relation amongst them.
(i) 12, 12, 19, a, 108, 232
(ii) b, 270, 90, 540, 180, 1080
(iii) 20, 27, c, 49, 70, 107
a) a < b < c b) a = b > c
c) a > b=c
d) a > b > c e) = b < c
Q1152. 700, 658, 628, 608, _, _
a) 578,572 b) 596, 590
c) 570, 564
d) 560, 554 e) 542, 536
Q1153. Below given are four variables A, B, C, and D
that depends on three different variables x,
y, and z.
?, A, B, C, D, 255
(x2-y2) = 231 (x<20)
[Both 'x' and 'y' are integers.]
z = (LCM of x and 2y) ÷ 10
A = (x - 2y)2 – 21 B = (z - y)2 + A + 7
C = A 2 - (x - y)2 - B - 10
If series follows a certain pattern, then D
can be represented by:
a) z (x + y)
b) xz – 1
c) xy + z
d) 5x + 4y
e) All are correct representation
Q1154. If D = A + B + C, then √D lies near to which
of the following integer?
a) 9
b) 10
c) 11
d) 12
e) 13
Q1155. If D = 2C - y - z, then which of the following
numbers given below in the options are
prime numbers?
a) B and D b) A, B, and C
c) Only B
d) B and C e) A, B, and D
Q1156. Is series a certain pattern, then find the
sum of missing and 7 th term of the series.
a) 420
b) 518
c) 602
d) 564
e) 482
Q1157. A series is 34, 46, 70, 106, 154, 214.
If 574 is the nth term of the above given series,
then find the value of n.
a) 7
b) 8
c) 9
d) 10
e) 11
WRONG TERM NS
The question given below consists of number
series I formed with some logic. In the given
series I, one number is wrong. Find that wrong
number and make the number series II
(following the same logic as by series I) by
taking the identified wrong number as the first
element of series II.
Q1158. Number series
I: 200 196 203 189 214 178
What is the average of 4 th and 6th element
in number series II?
a)162.5
b)186.5
c)204.6
d)178.5 e) 190.5
Q1159. Find the wrong term in the series given
below.
7, 22, 68, 209, 625, 1880
a) 625
b) 209
c) 22
d) 68
e) 7
Q1160. Find the wrong term in the series given
below.
65, 178, 337, 548, 809, 1120
a) 809
b) 178
c) 548
d) 337
e) 65
Q1161. The following numbers form a series. Find
the odd one out.
112, 114, 234, 726, 3036, 15840
a) 234
b) 726
c) 3036
d) 15840 e) 114
Q1162. Find the wrong term in the series given
below.
48, 168, 362, 624, 960, 1368
a) 48
b) 168
c) 624
d) 362
e) 960
Q1163. Find the wrong term in the series given
below.
10, 25, 51, 84, 132, 195
a) 25
b) 132
c) 10
d) 51
e) 84
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
243
@Crossword2022
Q1164. Find the wrong term in the series given
below.
69, 130, 223, 348, 517, 734
a) 517
b) 130
c) 69
d) 348
e) 223
Q1165. Find the wrong term in the series given
below.
9, 24, 84, 326, 1284, 5124, 20484
a) 24
b) 9
c) 84
d) 1284 e) 326
Q1166. Find the wrong term in the series given
below.
320, 160, 162, 240, 480, 1200
a) 162
b) 160
c) 240
d) 320
e) 480
Q1167. Find the wrong term in the series given
below.
23, 23, 30, 56, 121, 243, 458
a) 243
b) 23
c) 121
d) 56
e) 30
Q1168. Find the wrong term in the series given
below.
35, 39, 47, 57, 87, 171, 417
a) 87
b) 35
c) 57
d) 47
e) 39
Q1169. Find the wrong term in the series given
below.
13, 42, 88, 128, 187, 236, 304
a) 128
b) 13
c) 88
d) 42
e) 187
Q1170. Which of the following is correct about the
relationship among the wrong numbers in
the following series?
Series 1: 12, 16, 52, 56, 156, 126
Series 2: 2, 4, 12, 52, 192, 992
I.
The difference between the wrong
numbers is divisible by 13.
II.
The wrong number in series 1 is divisible
by the wrong number in
series 2.
III.
The sum of the wrong numbers lies
between 200 and 215.
a) Only I
b) Only II
c) Only I and II d) Only I and III
e) All I, II and III
Q1171. Which of the following is correct about
the relationship among the wrong
numbers in the following series?
Series 1: 4, 12, 48, 168, 756, 3780
Series 2: 8, 15, 38, 93, 204, 393
I.
The absolute difference between the
wrong numbers is divisible by 13.
II.
The sum of the wrong numbers is
divisible by 7.
III.
When the wrong number in series 2 is
divided by the wrong number in series 1,
the remainder is 8.
a) Only I
b) Only I and I
c) Only II and III
d) Only I and III
e) None of I, II or III
Q1172. Which of the following is correct about
the relationship among the wrong
numbers in the following series?
Series 1: 3, 5, 11, 39, 159, 929
Series 2: 200, 136, 217, 117, 234, 94
I.
The wrong number in series 2 is divisible
by the wrong number in series 1.
II.
When 1 more than the wrong number in
series 2 is divided by 2 more than twice
the wrong number in series 1, the
remainder is 1.
III.
The sum of the wrong numbers is divisible by
a prime number greater than 90.
a) Only I
b) Only III
c) Only I and III d) Only I and II
e) Only II and III
Q1173. There are three series and you have to
find the values of a, b and c and then
establish relationship among them.
(i) 23.5, 23.2, 23.7, a, 23.9, 22.8
(ii) 9, 5, 6, 10.5, b, 60, 183
(iii) 798, 455, 239, 114, 50, c, 15
a) a > b > c
b) a < b < c
c) a = b < c
d) a < b = c
e) a = b = c
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
244
@Crossword2022
Q1174. The question is given below consists of
the number series I formed with some
logic. In the given series I, one number is
wrong. Find that wrong number and
make the number series II (following the
same logic as by series I) by taking the
identified wrong number as the first
element of series II.
Number series II: 2 7 21 105 531 3193
What is the sum of 2 nd and 4th element of
number series II?
a) 606
b) 562
c) 794
d) 1086 e) 452
Q1175. Which of the following is correct about
the relationship between the wrong
numbers in series 1 and 2?
Series 1: 11, 3.5, 1.5, 1, 2, 14, 28
Series 2: 1, 32, 264, 1060, 2212, 2123,
1062
I.
The wrong number in series 2 is divisible
by the wrong number in series 1
II.
The sum of digits of the wrong number
in series 2 is a divisor of the wrong
number in series 1
III.
The sum of the wrong numbers is
greater than 2250 but less than 2280.
IV.
When the wrong number in series 2 is
divided by the square of the wrong
number in series 1, the remainder is a
multiple of 8.
a) Only III and IV b) Only I and III
c) Only I and II
d) Only II and IV
e) Only I, II and III
Q1176. The question given below consists of
number series I formed with some logic.
In the given series I, one number is
wrong. Find that wrong number and
make the number series II (following the
same logic as by series I) by taking the
identified wrong number as the first
element of series II.
Number series I: 600 300 180 60 24 12
4.8
What is the 6 th element of number
series II?
a) 12
b) 3.6
c) 48
d) 7.2
e) 60
Q1177. Which of the following is correct about
the relationship between the wrong
numbers in series 1 and 2?
Series 1: 3, 7, 25, 101, 561, 3391
Series 2: 3, 2, 13, 32, 105, 302
I.
The difference between the wrong
numbers is 12.
II.
The sum of the wrong numbers is divisible
by a prime number greater than 101
III.
The sum of digits of wrong number in
series 1 is lesser than the sum of digits
of wrong number in series 2.
IV.
The square of the difference between the
wrong numbers is divisible by 14
a) Only I, II and III
b) Only II, III and IV
c) Only II and IV
d) Only II and III
e) None of I, II, III or IV
Q1178. The question given below consists of
number series I formed with some logic.
In the given series I, one number is
wrong. Find that wrong number and
make the number series II (following the
same logic as by series I) by taking the
identified wrong number as the first
element of series II.
Number series I: 8 2 6 15 52.5 236.25
What is the difference between 4 th and
5th element of series II?
a) 9.375 b) 12.225
c) 48.45
d) 108.15 e) 76.5
Q1179. Which of the following is correct about
the relationship between the wrong
numbers in series 1 and 2?
Series 1: 2, 11, 27, 52, 99, 137
Series 2: 21, 12, 27, 3, 39, −10
I.
The ratio of the wrong number in series
1 to that in series 2 is 9:13
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
245
@Crossword2022
II.
The difference between the wrong
numbers is greater than 60 but less than
80
III.
The sum of the wrong numbers is
divisible by 7
IV.
The sum of digits of wrong number in
series 1 to that in series 2 is 2:1
a) Only II and IV
b) Only II, III and IV
c) Only I, III and IV
d) Only II and III
e) Only III and IV
Q1180. In each of the following questions, a
number series is given in which only one
term is wrong. Find out the wrong
number.
125, 100, 88, 64, 51.2, 40.96
a) 40.96 b) 64
c) 100
d) 88
e) 51.2
Q1181. In each of the following questions, a
number series is given in which only one
term is wrong. Find out the wrong
number.
5, 13, 37, 101, 325, 973
a) 973
b) 101
c) 37
d) 13
e) 325
Q1182. 17, 20, 32, 105, 404, 2045, 12264
What are the two wrong numbers in the
series?
a) 20, 32
b) 32, 2405
c) 17, 20
d) 105, 2405
e) 20, 12264
Q1183. In each of the following questions, a
number series is given in which only one
term is wrong. Find out the wrong
number.
215, 206, 177, 158, 119, 70, 11
a) 177
b) 119
c) 70
d) 158
e) 11
The question given below consists of
number series I formed with some logic.
In the given series I, one number is
wrong. Find that wrong number and
make the number series II (following the
same logic as by series I) by taking the
identified wrong number as the first
element of series II.
Q1184. Number series I: 7 12 20 34 56 110
What is the product of sum of digits of
3rd element and sum of digits of
5th element of number series II (when
counted from left end)?
a) 120
b) 144
c) 136
d) 108
e) 156
Q1185. In the following number series, only one
number is wrong. Find out the wrong
number.
800, 678, 579, 498, 434, 385, 349
a) 579
b) 678
c) 434
d) 385
e) 349
Q1186. In the following number series, only one
number is wrong. Find out the wrong
number.
10, 4.5, 3.5, 5, 16, 122
a) 5
b) 122
c) 4.5
d) 16
e) 3.5
Q1187. From the number series I given, identify
the wrong number. Form a series II
which follows the same logic as series I
and whose first element is the wrong
number identified from series I.
There are 6 elements in series II. A
shopkeeper sold different number of
items on consecutive days from Monday
to Saturday. First element of series II is
the number sold on Monday, second is
the number sold on Tuesday, and so on.
Series I: 288, 18, 144, 36, 64, 72
Which of the following graphs correctly
represent the number of items sold by
the shopkeeper on six different days?
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
246
@Crossword2022
(a)
(e)
Q1188.From the number series I given, identify the
wrong number. Form a series II which
follows the same logic as series I and whose
first element is the wrong number identified
(b)
from series I.
There are 5 elements in series II. Number of
employees in five different companies are
different. First element of series II is the
number of employees in company A, second
element is the number of employees in
company B, and so on.
Series I: 28, 29, 30, 42, 58
(c)
Which of the following graphs correctly
represent the number of employees in five
different companies?
(a)
(d)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
247
@Crossword2022
Q1189.16, 100, 484, 970, 971, 486
What are the two wrong numbers in the
series?
a) 970, 971 b) 970, 486
c) 971, 486
d) 100, 484 e) 16, 100
Q1190.2, 9, 29, 71, 209, 415, 413
What is the sum of the two wrong numbers
in the series?
a) 417
b) 218
c) 624
d) 38
e) 11
Q1191. Find the wrong number in the below series:
502, 498, 491, 463, 398, 272, 55
a) 498
b) 491
c) 398
d) 55
e) 463
Q1192. The question given below consists of
number series I formed with some logic. In
the given series I, one number is wrong.
Find that wrong number and make the
number series II (following the same logic
as by series I) by taking the identified
wrong number as the first element of series
II.
Number series I: 5 14 23 36 53 72 95
What is the product of 2 nd and 4th element
of series II?
a) 825
b) 1225
c) 945
d) 660
e) 750
Q1193. Find the wrong term in the given series.
3, 4, 5, 9, 10, 15, 15, 20, 25
a) 20
b) 15
c) 25
d) 10
e) 9
Q1194. The question given below consists of number
series I formed with some logic. In the given
series I, one number is wrong. Find that
wrong number and make the number series
II (following the same logic as by series I) by
taking the identified wrong number as the
first element of series II.
84, 103, 199, 147, 172
What is the product of sum of digits of
3rd element and sum of digits of 5 th element of
number series II(when counted from left
end)?
(b)
(c)
(d
(e)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
248
@Crossword2022
a) 164
b) 332
c) 192
d) 216
e) 156
Q1195. Find the wrong term in the series given
below.
13, 27, 56, 115, 236, 473
a) 13
b) 236
c) 115
d) 27
e) 56
Q1196. Find the wrong term in the series given
below.
17, 71, 159, 275, 425, 607
a) 159
b) 425
c) 275
d) 71
e) 17
Q1197. Find the wrong term in the series given
below.
6, 14, 29, 55, 88, 136
a) 55
b) 29
c) 14
d) 88
e) 6
Q1198. Find the wrong term in the series given
below.
129, 220, 347, 518, 733, 1004
a) 220
b) 518
c) 733
d) 347
e) 129
Q1199. Find the wrong term in the series given
below.
25, 42, 72, 123, 195, 290
a) 42
b) 72
c) 195
d) 25
e) 123
Q1200. Find the wrong term in the series given
below.
2066, 689, 232, 77, 26, 9
a) 689
b) 2066
c) 232
d) 77
e) 26
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
249
@Crossword2022
SOLUTIONS
1. Ans. d)
pattern is
11. Ans. b)
pattern is ×2+1, ×4+3, ×6+5, ×8+7,
×10+9
∴ ? = 1151 × 10 + 9 = 11519
12. Ans. c)
Pattern is ×1+1, ×2+2, ×3+3, ×4+4, ×5+5,
….
∴ ? = 63 × 4 + 4 = 256
13. Ans.a)
Series is
2. Ans. b)
pattern is
3. Ans. e)
Pattern is
4. Ans.a)
pattern is
14. Ans. b)
Pattern is ×0.5+2, ×1+2, ×1.5+2, ×2+2,
×2.5+2
∴ ? = 27 × 2.5 + 2 = 69.5
15. Ans. d)
5. Ans. d)
pattern is
16. Ans. b)
The pattern of the number series is:
7 × 2 + 6 = 20
20 × 2 + 6 = 46
46 × 2 + 6 = 98
98 × 2 + 6 = 202
202 × 2 + 6 = 404 + 6 = 410
17. Ans. b)
The pattern of the number series is:
210 - 13 = 209
209 + 22 = 213
213 - 33 = 186
186 + 42 = 202
202 - 53 = 202 - 125 = 77
18. Ans e)
The pattern of the number series is:
6. Ans. c)
Series is ×1, ×1.5, ×2, ×2.5, ×3, ×3.5
so, ?=270×3.5=945
7. Ans. a)
Series is ×2, ÷3, ×4, , ÷ 5, ×6…………….
so, ?= 30÷3=10
8. Ans. e)
Series is –7³, –6³, –5³, –4³, –3³……..
so, ?=536-216
=320
9. Ans.a)
Series is –25, –23, –21, –19…..
so, ?=519-19 = 500
10. Ans.a)
Pattern is
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
250
@Crossword2022
∴ ? = 110 + 49 = 159
28. Ans. a)
Pattern is +64 × 1, +64 × 2, +64 × 4, +64 ×
8, +64 × 16
∴ ? = 416 + 64 × 4 = 672
29. Ans. c)
Pattern is × 0.75, × 0.75 × 2, × 0.75 × 3, ×
0.75 × 4, ……..
∴ ? = 455.625 × 0.75 × 6 = 2050.3125
27 + 11 = 38
38 + 33 = 71
71 + 55 = 126
126 + 77 = 203
203 + 99 = 302
19. Ans. c)
The pattern of the number series is:
435 - 9 × 9 = 354
354 - 9 × 8 = 282
282 - 9 × 7 = 219
219 - 9 × 6 = 165
165 - 9 × 5 = 120
20. Ans. c)
The pattern of the number series is:
4 + 142 = 4 + 196 = 200
200 + 132 = 200 + 169 = 369
369 + 122 = 369 + 144 = 513
513 + 112 = 513 + 121 = 634
634 + 102 = 634 + 100 = 734
21. Ans. c)
Pattern is .
∴ ? = 36 × 3 + 9 = 117
22. Ans.a)
Pattern is
+12 , +23 , +32 , +43 , +52 , +63 , . . . . . ..
∴ = 96 + 25 = 121
23. Ans. d)
Pattern is +32 − 3, +52 − 5, +72 − 7,
+92 − 9
∴ ? = 159 + 110 = 269
24. Ans. d)
Pattern is +22 + 2, +42 + 2, +62 + 2,
+82 + 2, . . . . . ..
∴ ? = 143 + 102 + 2 = 245
30. Ans. d)
Pattern is × 1 + 1, × 2 + 2, × 3 + 3, × 4 +
4, × 5 + 5, × 6 + 6
∴ ? = 685 × 6 + 6 = 4116
31. Ans. c)
Pattern is
6 × 7 − 10 = 32
32 × 5 − 8 = 152
152 × 3 − 6 = 450
450 × 1 − 4 = 446
? = 450 × 1 − 4 = 446
32. Ans. e)
Pattern is × 1.2,× 2.2,× 3.2,………
? = 887.04 × 5.2
= 4612.608
33. Ans. b)
Pattern is (112 + 11), (12)2 + 12, (13)2 + 13
So, ? = 152 + 15 = 240
34. Ans. b)
Pattern is
−27, −27, −27,………..
∴ ? = 146 – 27 = 119
35. Ans. e)
25. Ans. c)
Pattern is × 7, × 6, × 5, × 4, . . . . . ..
∴ ? = 42 × 6 = 252
26. Ans. b)
Series is
∴ ? = 68 + 36 = 104
36. Ans. b)
Pattern is
×3.5, ×3.5, ×3.5, ×3.5
∴ ? = 85.75×3.5 = 300.125
37. Ans. c)
Series is
27. Ans. c)
Pattern is +22 , +32 , +42 , +52 , +62 , +72
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
251
@Crossword2022
45. Ans. d)
38. Ans. d)
Pattern is ×2+1, ×4+1, ×6+1, ×8+1,
×10+1,…..
∴ ? = 2937 × 10 + 1
= 29371
39. Ans. b)
÷2, ×3, ÷2, ×3, ÷2, ×3
∴ ? = 54 ÷ 2 = 27
40. Ans. c)
The pattern is as given below:
4 × 2 + 2 = 10
10 × 3 + 3 = 33
33 × 4 + 4 = 136
136 × 5 + 5
= 680 + 5 = 685
41. Ans.a)
so, 61 =? + (150 - 96)
or, ? = 7
46. Ans.a)
∴ 259 + 92 = 351
47. Ans. b)
Pattern is
2³, 4³, 6³, 8³, 10³, 12³, 14³
∴ ? = 2744
48. Ans. d)
Pattern is
×1+1, ×2+2, ×3+3, ×4+4, ×5+5, ×6+6
∴ ? = 685 ×6 + 6
? = 4116
49. Ans. c)
Pattern is
∴ ? = 455.625 ×4.5 = 2050.3125
50. Ans.e)
40320 ÷ 7 = 5760
5760 ÷ 6 = 960
960 ÷ 5 = 192
192 ÷ 4 = 48
48 ÷ 3 = 16
51. Ans.a)
Series is
So, ? = 294 + 114 + 34 + 6 = 448
42. Ans. b)
+16, +32, +48, +64, +80….
so, ? = 270 + 96
= 366
43. Ans. c)
So, ? = 762 + 113 = 875
44. Ans. d)
×1, ×1.5, ×2.5, ×4………
so, ? = 1080 × 8.5 = 9180
∴ ? = 1885 + 3766 = 5651
52. Ans. d)
Pattern is
×1+2, ×2+4, ×3+6, ×4+8, ×5+10, ×6+12
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
252
@Crossword2022
∴ x = 2810 × 6 + 12 = 16872
53. Ans.a)
Pattern is ÷2.5, ÷2.5, ÷2.5, ÷2.5,…..
∴ ? = 12.288 ÷ 2.5
= 4.9152
54. Ans. b)
Series is 29², 31², 33², 35², 37², 39²,
∴ ? = 37² = 1369
55. Ans. d)
Series is
63. Ans. b)
×6, ×5.5, ×5………
64. Ans.a)
÷4, ÷5, ÷4, ÷5……..
65. Ans.b)
9576 * 1/7 = 1368
1368 * 1/6 = 228
228 * 1/5 = 45.6
45.6 * 1/4 = 11.4
11.4 * 1/3 = 3.8
So, missing term = 3.8
66. Ans. c)
Series is, 13 , 22 , 33 , 42 , 53 , 62 , 73
∴ ? = 73 = 343
67. Ans.a)
Series is 13 − 1 = 0
23 − 2 = 6
33 − 3 = 24
43 − 4 = 60
53 − 5 = 120
63 − 6 = 210
∴ ? = 120
68. Ans. b)
Pattern is ÷ 3,÷ 3,÷ 3,÷ 3,÷ 3
∴ ? = 135 ÷ 3 = 45
69. Ans.a)
Pattern is × 2,÷ 3,× 4,÷ 5,× 6
∴ ? = 30 ÷ 3 = 10
70. Ans. b)
Series is
5 × 2 + 3 = 13
13 × 4 + 6 = 58
58 × 6 + 9 = 357
357 × 8 + 12 = 2868
2868 × 10 + 15 = 28695
71. Ans. c)
Pattern is – 10, −20, −40, −80, −160
∴ ? = 345 – 160 = 185
72. Ans. b)
Pattern is +6, +11, +16, +21, +26
∴ ? = 70 + 26 = 96
73. Ans. d)
Pattern is +14 × 1, +14 × 2, +14 × 3,
56. Ans. c)
Series is —
57. Ans. c)
Series is ×1+1, ×2×2, ×3+3, ×4+4, ×5+5
So, ? = 6 × 3 + 3 = 21.
58. Ans. e)
Pattern is ×1.5+2, ×2–2, ×2.5+2, ×3–2,
×3.5+2, …..
∴ ? = 41.5 × 3.5 + 2 = 147.25
59. Ans. d)
Series is
11² – 2³ = 121 – 8 = 113
13² – 4³ = 169 – 64 = 105
15² – 6³ = 225 – 216 = 9
17² – 8³ = 289 – 512 = – 223
19² – 10³ = 361 – 1000 = – 639
60. Ans.a)
Pattern is
61. Ans.a)
×6+1, ×5+2, ×4+3, ……
62. Ans.a)
×1+1, ×2+2, ×3+3, ×4+4, ………
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
253
@Crossword2022
+14 × 4, +14 × 5
∴ ? = 153 + 70 = 223
74. Ans. c)
Pattern is × 1 + 1, × 2 + 2, × 3 + 3, × 4 +
4, × 5 + 5
∴ ? = 136 × 5 + 5 = 685
75. Ans. d)
Series is
83. Ans. d)
0 1 4 9 16 25 36
02 12 22 32 42 52 6 2
84. Ans.a)
1296 1444 1600 1764 1936
(36)2 (38)2 (40)2 (42)2 (44)2
85. Ans. b)
1728 1331 1000 729 512
123 113 103 93 8³
86. Ans. c)
The pattern is as follows:
4 + 20 x 1 = 24
24 + 20 x 2 = 64
64 + 20 x 3 = 124
124 + 20 x 4 = 204
204 + 20 x 5 = 304
87. Ans. e)
The pattern 19 being multipled by
consecutive prime numbers:
19 x 2 = 38
19 x 3 = 57
19 x 5 = 95
19 x 7 = 133
19 x 11 = 209
19 x 13 = 247
88. Ans. e)
Pattern is –272, –136, –68, –34, –17
∴ ? = 57 – 17 = 40
89. Ans. c)
Series is
76. Ans. d)
Pattern is +14×1, +14×3, +14×9, +14×27,
+14× 81
∴ ? = 564 + 14 × 81= 1698
77. Ans. b)
Pattern is ×1, ×2, ×3, ×4, ×5
∴ ? = 288 × 5 = 1440
78. Ans. b)
The pattern is as follows:
4 x 4 = 16
16 x 5 = 80
80 x 6 = 480
480 x 7 = 3360
3360 x 8 = 26880
79. Ans.d)
The pattern is as follows:
70 + 70 = 140
70 + 140 = 210
140 + 210 = 350
210 + 350 = 560
350 + 560 = 910
80. Ans. b)
Pattern is × 0.5,× 1,× 1.5,× 2,× 2.5
∴ ? = 6 × 2.5 = 15
81. Ans. b)
90. Ans. b)
The pattern is:
× 0.5 + 1,× 1.5 + 3,× 2.5 + 5,× 3.5 + 7. . . ..
⇒ 35 × 3.5 + 7 = 129.5
91. Ans. d)
82. Ans. c)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
254
@Crossword2022
The pattern is : × 2 − 2,× 2 + 4,× 2 − 6,× 2 + 8
Required no- 238
92. Ans. a)
The pattern is :
25 + 1 × 16 = 41
41 + 3 × 16 = 41 + 48 = 89
89 + 5 × 16 = 89 + 80 = 169
169 + 7 × 16 = 169 + 112 = 281
281+9 × 16 = 281 + 144 = 425
93. Ans. b)
The pattern is :
461 + 13 = 474
474 - 9 = 465
465 + 13 = 478
478 - 9 = 469
469+13 = 482
94. Ans. e)
The pattern is:
101. Ans. b)
Pattern is +11×1, –11×3, +11×5, –11×7,
+11×9
∴ ? = 67 + 11 × 9 = 166
102. Ans. b)
Series is
103. Ans.a)
Series is
7 × 0.5 + 0.5 = 4
4×1+1=5
5 × 1.5 + 1.5 = 9
9 × 2 + 2 = 20
20 × 2.5 + 2.5 = 52.5
104. Ans. d)
Series is
95. Ans. e)
The pattern is:
× 1 + 1,× 2 − 2,× 3 + 3,× 4 − 4
96. Ans. b)
Pattern is ×2, ×4, ×8, ×16, ×32, ….
∴ ? = 12 × 8
= 96
97. Ans. d)
Pattern is ×1–1, ×3– 3, ×5–5, ×7–7, ×9 –9
∴ ? = 25 × 7– 7
= 168
98. Ans. c)
Series is
105. Ans. c)
Pattern is ×1, ×0.1, ×0.01, ×0.001, ×0.0001
∴ ? = 10 × 0.001
= 0.01
106. Ans. b)
Series is ×4, ×4, ×4, ×4, ×4…….
∴ ? = 768 × 4 = 3072
107. Ans. c)
Series is
99. Ans.a)
Pattern is ×3, ÷2, ×3, ÷2, ×3, ÷2
? = 81 ÷ 2 = 40.5
100. Ans. c)
Series is
108. Ans.a)
Series is ×2+1, ×3+1, ×4+1, ×5+1, ×6+1….
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
255
@Crossword2022
∴ ? = 326 × 6 + 1 = 1957
109. Ans.a)
Series is 7², 9², 11², 13², 15², 17², 19²
∴ ? = 19² = 361
110. Ans. d)
Series is ×1, ×1.5, ×2, ×2.5, ×3….
∴ ? = 7.5 ×3 = 22.5
111. Ans. b)
Two series are there. i.e. (8, 11, 14, 17, 20)
and (7, 12, 17, 22) increasing by 3 and 5
112. Ans. b)
Series is × 3 − 4
So, ? = 731 × 3 − 4 = 2189
113. Ans. d)
Series is as × 2 + 2,× 2 + 4,× 2 + 6,× 2 +
8,× 2 + 10,× 2 + 12
So, ? = 210 × 2 + 12 = 432
114 Ans. e)
Series is as, × 1 + 2,× 2 + 3,× 3 + 4,× 4 +
5,× 5 + 6,× 6 + 7
? = 1131 × 6 + 7 = 6793
115. Ans. b)
Pattern is +22 , +32 , +42 , +52 … ….
? = 91 + 72 = 140
116. Ans. b)
200 – 1 = 199
199 – 3 = 196
196 – 9 = 187
187 – 27 = 160
160 – 81 = 79
Therefore, the missing number is 187.
117. Ans. d)
225 + 25 = 250
250 – 50 = 200
200 + 75 = 275
275 – 100 = 175
175 + 125 = 300
Therefore, the missing number is 175.
118. Ans. c)
Adding the last digit of the same number.
53 + 3 = 56
56 + 6 = 62
62 + 2 = 64
64 + 4 = 68
68 + 8 = 76
Therefore, the missing number is 62.
119. Ans. e)
12 + 5 = 6
22 + 5 = 9
32 + 5 = 14
42 + 5 = 21
52 + 5 = 30
62 + 5 = 41
Therefore, the missing number is 41.
120. Ans. c)
481 +1 = 482 ÷ 2 = 241, 241+1
=242 ÷ 2
= 121, 121 +1 = 122 ÷ 2 = 61
61 +1 = 62 ÷ 2 = 31, 31 + 1 = 32 ÷ 2 = 16
121. Ans. c)
Pattern is -7², -9², -11², -13², -15², -17²
∴ ? = 1223 – 225 = 998
122. Ans. b)
Pattern is ×3+1, ×3+1, ×3+1
∴ ? = 202 × 3 + 1
= 607
123. Ans. d)
124. Ans. b)
Pattern is ×5 – 2, ×5- 4, ×5-6, ×5-8, ×5-10
∴ ? = 424 × 5- 8 = 2112
125. Ans.a)
Series is 11³, 9³, 7³, 5³, 3³
∴ ? = 3³ = 27
126. Ans. b)
Pattern is ×3, ×4, ×5, ×6, ×7, …
∴ ? = 720 × 7 = 5040
127. Ans. b)
Pattern is
1×1+2=3
3×2+2=8
8 × 3 + 2 = 26
26 × 4 + 2 = 106
106 × 5 + 2 = 532
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
256
@Crossword2022
Series is +3², +5², +72 ,+9², +11², +13²……..
128. Ans.a)
+11, +33, +55, +77, +99, + 121
∴ ? = 289 + 121
= 410
129. Ans. c)
Pattern is
×4, ×4, ×4, ×4, ×4, …
∴ ? = 2816 × 4
= 11264
130. Ans. b)
Pattern is
÷10, ÷8, ÷6, ÷4, ÷2
36
∴ ?=
=9
4
131. Ans. c)
The pattern is as follows:
209 + 5 3= 334
334 + 10 3= 1334
1334 + 15 3= 4709
4709 + 20 3= 12709
12709 + 253= 28334
28334 + 303= 55334
132. Ans. a)
∴ ? = 406 + 169
= 575
137. Ans. c)
Series is ×1²+ 2, ×2²+ 2, ×3² + 2, ×4² + 2,
×5² + 2…..
∴ ? = 272 × 16 + 2
= 4354
138. Ans. d)
Series is ×0.5 + 0.5, ×1+1, ×1.5 +1.5, ×2+2,
×2.5+2.5
∴ ? = 30 × 3 + 3
= 93
139. Ans.a)
Series is
140. Ans. b)
Series is
+13 × 1², + 13×2², +13×3², +13×4²,
+13×5², ….
∴ ? = 766 + 13 × 6²
∴ ? = 974 + 170 = 1144
133. Ans. b)
Pattern is +23 , +3, +43 , +5, +63
∴ ? = 81 + 63 = 297
134. Ans. d)
= 1234
141. Ans. b)
Series is ×1.5+1, ×3+2, ×6+3, ×12+4….
∴ ? = 60 × 12 + 4 = 724
142. Ans. c)
Series is +8, +16, +32, +64, +128 …
∴ ? = 122 + 128
= 250
? = 177 +
143. Ans. d)
92 = 269
135. Ans. c)
Pattern is (×2–1), (×3+1), (×4–1), (×5+1),
(×6–1)
∴ ? = 556 × 6 – 1 = 3335
144. Ans.a)
Series is ×1+2, ×3+4, ×5+6, ×7+8, ×9+10
….
136. Ans. b)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
257
@Crossword2022
∴ ? = 715 × 9 + 10
= 6445
145. Ans. b)
Series is +13, +26, +39, +52, +65
∴ ? = 261 + 65
= 326
146. Ans. b)
Pattern is
+12, +24, +36, +48, +60, +72
∴ ? = 891 + 72
= 963
147. Ans. a)
148. Ans. c)
5 × 22 + 15 = 35
10 × 32 – 14 = 76
15 × 42 + 13 = 253
20 × 52 -12 = 488
25 × 62 + 11 = 911
30 × 72 -10 = 1460
So, next term is 1460
149. Ans.a)
Pattern is
2 × 64 + 16 = 144
3 × 32 + 8= 104
4 × 16 + 4 = 68
5 × 8+ 2 = 42
6 × 4 + 1 = 25
7 × 2 + 0.5 = 14.5
150. Ans. e)
Pattern is
153. Ans. c)
Series is
2 × 1– 1 = 1
1×3−1 =2
2 × 5– 1 = 9
9 × 7– 1 = 62
62 × 9 – 1 = 557
154. Ans. d)
Series is
13 − 1 = 0
33 − 3 = 24
53 − 5 = 120
73 − 7 = 336
93 − 9 = 720
113 − 11 = 1320
155. Ans. b)
Pattern is
+100, −64, +36, −16, +4
∴ ? = 61 + 4 = 65
156. Ans. c)
Series is 322 , 342 , 362 , 382 , 402 , ….
∴ ? = 402 = 1600
157. Ans. d)
Pattern is
+5.5, +9.5, +18.5, +34.5, +59.5 ….
∴ ? = 36 + 34.5 = 70.5
158. Ans.a)
Pattern is
÷ 4,÷ 4,÷ 4,÷ 4, ….
∴ ? = 2 ÷ 4 = 0.5
159. Ans. c)
∴ ? = 193 + 91
= 284
151. Ans. b)
The pattern is
×1, ×1.5, ×2, 2.5, ×3
∴ ? = 30 × 3] = 90
152. Ans.a)
Series is
160. Ans.a)
Pattern is× 2 + 1,× 4 + 3, × 6 + 5, × 8 + 7, × 10 + 9
∴ ? = 767 × 10 + 9
= 7679
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
258
@Crossword2022
161. Ans. c)
Series is
43 – 1, 53 − 1, 63 − 1, 73 − 1, 83 − 1, 93 − 1
∴ ? = 83 − 1 = 511
162. Ans. d)
Pattern is
+4, +9, +25, +49, +121, +169
∴ ? = 92 + 121 = 213
163. Ans. e)
Pattern is
× 2, ÷ 3, × 2, ÷ 3, × 2, ÷ 3
∴ ?= 4 × 2 = 8
164. Ans. b)
Series is
(89 x 5) + 4= 449
(449 x 5) + 4= 2249
(2249 x 5) + 4= 11249
(11249 x 5) + 4= 56249
(56249 x 5) + 4= 281249
171. Ans. a)
The series follows the pattern,
96 × 5 = 480,
480 ÷ 4 = 120,
120 × 5 = 600,
600 ÷ 4 = 150,
150 × 5 = 750
172. Ans.b)
Logic for the given series:
5760 ÷ 6 = 960
960 ÷ 5 = 192
192 ÷ 4 = 48
48 ÷ 3 = 16
16 ÷ 2 = 8
So, missing term = 48
173. Ans. c)
Logic for the given series:
(1 + 1) * 0.5 = 1
(1 + 1) * 1 = 2
(2 + 1) * 1.5 = 4.5
(4.5 + 1) * 2 = 11
(11 + 1) * 2.5 = 30
(30 + 1) * 3 = 93
So, missing term = 11
174. Ans. b)
The pattern is as follows:
1694 - 36 = 965
965 - 35 = 722
722 - 34 = 641
641 - 33 = 614
614 - 32 = 605
605 - 31 = 602
175. Ans. d)
The pattern adds alternate prime numbers to
the previous term:
17 + 3 = 20
20 + 7 = 27
27 + 13 = 40
165. Ans. e)
Pattern is
× 0.5 + 0.5, × 1 + 1, × 1.5 + 1.5, × 2 + 2,
× 2.5 + 2.5
∴ ? = 12.5 × 2.5 + 2.5 = 33.75
166. Ans. b)
−5.5, +4.5, −3.5, +2.5, −1.5, +0.5
∴ ? = 8.5 + 0.5 = 9
167. Ans. e)
The pattern is as follows:
96 x 0.5 = 48
48 x 1.0 = 48
48 x 1.5 = 72
72 x 2.0 = 144
144 x 2.5 = 360
168. Ans. b)
Pattern is – 3, – 6, – 9, – 12, – 15
∴ ? = – 17 − 15 = – 32
169. Ans. d)
Series is 132 , 172 , 192 , 232 , 292 , 312
∴ ? = 289
170. Ans.d)
The pattern is as follows:
(17 x 5) + 4= 89
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
259
@Crossword2022
40 + 19 = 59
59 + 29 = 88
176. Ans. b)
Series is
322 + 31 × 5 = 477.
183. Ans. c)
4096 ÷ 4 = 1024, 1024 ÷ 4 = 256
256 ÷ 4 = 64, 64 ÷ 4 = 16, 16 ÷ 4 = 4
184. Ans. c)
7 + (13 × 1) = 20, 20 + (13 × 3)
= 59, 59 + (13 × 5) = 124
124 + (13 × 7) = 215, 215 + (13 × 9)
= 332
185. Ans. b)
The pattern is:
× 0.5 + 1,× 1.5 + 3,× 2.5 + 5,× 3.5 7. . . . . . . . ..
⇒ 35 × 3.5 + 7
= 129.5
186. Ans. d)
177. Ans. c)
The logic in the series is as follows:
4.5*2 - 3 = 6
6*2 - 3 = 9
9*2 - 3 = 15
15*2 - 3 = 27
27*2 - 3 = 51
178. Ans. c)
The logic in the series is as follows:
48 + 14 = 62
62 + 12 = 74
74 + 10 = 84
84 + 8 = 92
92 + 6 = 98
179. Ans.a)
Pattern is ÷ 2,÷ 2,÷ 2,÷ 2,÷ 2
∴ ? = 55.5 ÷ 2 = 27.75
180. Ans. a)
(80 + 10 = 90, 90 + 12 = 102, 102 + 14
= 116, 116 + 16 = 132)
132 + 18 = 150.
181. Ans. e)
The series the following pattern:
20×4 = 80
80×4.5 = 360
360×5 = 1800
1800×5.5 = 9900
9900×6 = 59400
182. Ans. c)
The series follows the pattern
12 + 31 × 1 = 43,
43 + 31 × 2 = 105,
105 + 31 × 3 = 198,
198 + 31 × 4 = 322,
187. Ans. b)
188. Ans. d)
189. Ans. b)
190. Ans. b)
191. Ans. b)
×2 + 3, ×3 + 4, ×4 + 5, ×5 + 6…
∴ ? = 651 × 6 + 7
= 3913
192. Ans. c)
Pattern is
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
260
@Crossword2022
480 ÷ 1 = 480
480 × 2 = 960
960 ÷ 3 = 320
320 × 4 = 1280
1280 ÷ 5 = 256
193. Ans.a)
201. Ans. c)
Series is +7², +7³, +74, +75, +76…..
∴ 2798 + 75 = 19605
202. Ans. e)
Series is –5, –7, –11, –13, –17, –19, –23
(prime numbers)
∴ ? = 572– 19
= 553
203. Ans. d)
Series is ×2, ×4, ×6, ×8, ×10, ×12…..
∴ ? = 144 × 8 = 1152
204. Ans.a)
Series is ÷ 25, ÷ 20, ÷ 15, ÷ 10, ÷ 5
∴?=5÷5=1
205. Ans. b)
Series is ×9+2, ×7+4, ×5+6, ×3+8, ×1+10
∴ ? = 1241 ×1+ 10 = 1251
206. Ans. c)
+17, +34, +51, +68, +85….
207. Ans. b)
194. Ans. c)
48 × 0.5 + 0.5 = 24.5
24.5 × 1 + 1 = 25.5
25.5 × 2 + 2 =53
53 × 4 + 4 = 216
216 × 8 + 8 = 1736
195. Ans.a)
196. Ans. b)
The pattern is +17×2, +17×4, +17×6,
+17×8, +17×10…
∴ ? = 1470 + 17 × 10 = 1640
197. Ans. c)
Series is
208. Ans. d)
×1.5, ×2, ×2.5, ×3 …
209. Ans.a)
×1+1, ×2+2, ×3+3, ×4+4,…
210. Ans. c)
+22, +33, +42, +53, +62
178 + 36 = 214
211. Ans. b)
Series pattern given series
767
767
767 – 272 = 495 495
495 – 136 = 359 359
359 – 68 =291
291
291 – 34 = 257
257
257 – 17 = 240
240
212. Ans. d)
Series pattern
given series
17.5
17.5
198. Ans. d)
Pattern is ×2+2, ×3+3, ×4+4, ×5+5, ×6+6
∴ ? = 445 × 6+ 6 = 2676
199. Ans. a)
It is combination of 3 series.
1st series: 8, 7, 6, ?
2nd series: 9,10,11,12
3rd series: 8,9,10..
So, the missing terms is 6 – 1 = 5
200. Ans. b)
Pattern is ×0.5, ×1.5, ×2.5, ×3.5, ×4.5
∴ ? = 78.75 × 4.5 = 354.375
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
261
@Crossword2022
17.5 + 1 × 13.5 = 31
31
31 + 2 × 13.5 = 58
58
58 + 3 × 13.5 = 98.5
98.5
98.5 + 4 × 13.5 = 152.5 152.5
152.5 + 5 × 13.5 = 220 220
213. Ans. c)
7 × (1/2) +(1/2) = 4, 4 × 1 = 5
5 × (3/2) + (3/2) = 9, 9 × 2 + 2 = 20
214. Ans. b)
Series Pattern
Given Series
6
6
6 + 61 = 12
12
12 + 62 = 48
48
3
48 + 6 = 264
264
264 + 64 = 1560
1560
1560 + 65 = 9336
9336
215. Ans. c)
5 + 343 = 5 + 73 = 348
348 + 216 = 348 + 63 = 564
564 + 125 = 564 + 53 = 689
689 64 = 689 + 43 = 753
216. Ans. b)
220. Ans.a)
221. Ans. d)
Series is −11, −(11 × 2), −(11 × 3), −(11 ×
4),.
∴ ? = 215 – 55 = 160
222. Ans. b)
Series is × 1 + 1,× 1.5 + 1,× 2 + 1,× 2.5 + 1,
∴ ? = 141 × 2.5 + 1 = 353.5
223. Ans. c)
Series is +(1× 12), −(2 × 12), +(3 ×
12), −(4 × 12), +(5 × 12), … ….
∴ ? = 596 + 60 = 656
224. Ans. e)
Series is
225. Ans. e)
Series is × 2.5 + 20,× 2.5 + 20,× 2.5 + 20∴ ?
= 320 × 2.5 +20
= 820
226. Ans. b)
The pattern is
1×3+2=5
5 × 5 + 4 = 29
29 × 7 + 6 = 209
209 × 9 + 8 = 1889
1889 × 11 + 10
= 20789
227. Ans. c)
Series is
217. Ans. c)
6 × 1.5 + 1 = 10
10 × 1.5 + 2 = 17
17 × 1.5 + 3 = 28.5
28.5 × 1.5 + 4 = 46.75
46.75 × 1.5 + 5 = 75.125
218. Ans.a)
26² - 6 = 670
30² - 6 = 894
34² - 6 = 1150
38² - 6 = 1438
42² - 6 = 1758
219. Ans. d)
3×1+2=5
5 × 3 + 4 = 19
19 × 5 + 6 = 101
101 × 7 + 8 = 715
715 × 9 + 10 = 6445
? = 276
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
262
@Crossword2022
228. Ans.a)
Series is
235. Ans.a)
10×1+5=15
15×2+5=35
35×3+5=110
110×4+5= 445
445×5+5=2230
2230×6+5=13385
236. Ans. b)
Series is ×1.5, ×3, ×6, ×12, ×24
So, 3240 × 24 = 77760
237. Ans. d)
35 256 451 620
763 880
221 195 169 143 117
26
26
26
238. Ans. c)
+32 , +42 , +52 , +62
∴ 216 + 72 = 265
239. Ans. b)
From the Right side –
+72, +144, +288, +576, +1152
∴ ? = 1162 + 576 = 1738
240. Ans. d)
Series is ×2+2, ×3+3, ×4+4, ×5+5, ×6+6
So, 1645 × 6 + 6
= 9876
241. Ans. b)
Pattern is +22 + 1, + 42+1,+62+1, + 82 + 1,
and so on
Hence, ? = 126
242. Ans. e)
Pattern is × 2 − 1 ,× 3 + 1,× 4 − 1, 𝑠𝑜 𝑜𝑛
∴ ? = 1815 × 5 + 1 = 9076
243. Ans. b)
Go on multiplying the given numbers by 2, 3,
4, 5, 6. So, the correct next number is 1440.
244. Ans. b)
Number are (23 – 1), (33 – 1), (43 – 1), (53 –
1), (63 – 1), (73 – 1) etc.
So, the next number is (83 – 1)
= (512 – 1) = 511.
245. Ans.a)
The pattern is as follows:
? = 809
229. Ans. d)
Pattern is
3×2–1=6–1=5
5 × 4 – 3 = 20 – 3 = 17
17 × 6 – 5 = 102 – 5 = 97
97 × 8 – 7 = 776 – 7 = 769
769 × 10 – 9 = 7690 – 9 = 7681
230. Ans. e)
Series is
15.5 + 1 × 13.5 = 15.5 + 13.5 = 29
29 + 2 × 13.5 = 29 + 27 = 56
56 + 3 × 13.5 = 56 + 40.5 = 96.5
96.5 + 4 × 13.5 = 96.5 + 54 = 150.5
150.5 + 5 × 13.5 = 15.5 + 67.5 = 218
231. Ans.a)
12×1=12
12×1.5=18
18×2=36
36×2.5=90
0×3=270
270×3.5=945
945 × 4 = 3780
232. Ans. c)
𝟒 ⏝ 467 ⏝ 513 ⏝ 582 ⏝ 674 ⏝ 789
+23×1
+23×2
+23×3
+23×4
+23×5
⇒ 789 + 23 × 6 = 927
233. Ans.a)
Series is ÷ 2, ÷ 4, ÷ 8, ÷ 16, ÷ 32
⇒ 4.6875 ÷ 32 = 0.14648
234. Ans. c)
−36 × 1, −36 × 2, −36 × 3, −36 × 4,
−36 × 5, −36 × 6
⇒ 423 − 36 × 6 = 423 − 216 = 207
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
263
@Crossword2022
3878 - 132 = 3709
3709 - 122 = 3565
3565 - 112 = 3444
3444 - 102 = 3344
3344 - 92 = 3263
246. Ans. d)
Series is +21, +42, +84, +168, +336…
∴ ? = 320 + 336 = 656
247. Ans. c)
Series is
4³ – 1 = 63
5³ – 2 = 123
6³ – 3 = 213
7³ – 4 = 339
8³ – 5 = 507
9³ – 6 = 723
248. Ans.a)
Series is +4×1, +4×3, +4×5, +4×7, +4×9,
+4×11
∴ ? = 101 + 4 × 11 = 145
255. Ans.a)
Series is ÷3, ÷6, ÷9, ÷12, ÷15
∴ ? = 15 ÷ 15= 1
256. Ans. e)
The pattern of the number series
is+72 , +62 , +52 , +42 , +32
= 138
257. Ans. c)
The pattern of the number series is
× 1 + 1,× 2+,× 3 + 3,× 4 + 4,× 5 + 5
? = 27
258. Ans.a)
The pattern of the number series is× 0.5 +
1,× 1.5 + 2,× 2.5 + 3,× 3.5 + 4,× 4.5 + 5
? = 84.5
259. Ans. d)
The number series is 23 , 43 , 63 , 83 , 103 , 123
? = 1000
260. Ans. a)
379 + 11 = 390, 390 +22 = 412
249. Ans. b)
Series is –5, +10, –15, +20, –25, +30…
∴ ? = 239 + 30 = 269
250. Ans. b)
Series is ÷3, ÷6, ÷9, ÷12, ÷15….
∴ ? = 3.375 ÷ 15 = 0.225
251. Ans. c)
Series is +6, +36, +216, +1296, +7776
∴ ? = 1556 + 7776 = 9332
252. Ans. b)
Series is
412 + 33 = 445, 445 + 44 = 489
489 + 55 = 544
261. Ans. d)
262. Ans.a)
263. Ans. e)
253. Ans.a)
Series is ÷3, ÷3, ÷3, ÷3…
∴?=3÷3=1
254. Ans. b)
Series is ×3+1, ×4+2, ×5×3, ×6+4, ×7+5…
∴ ? = 562 × 7 +5 = 3939
264. Ans. c)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
264
@Crossword2022
8 × 2 + 12
28
28 × 3 + 18 102
102 × 4 + 24 432
432 × 5 + 30 2190
273. Ans a)
Series Pattern Given Series
6
6
6×3–2
16
16 × 3 – 4
44
44 × 3 – 6
126
126 × 3 – 8 370
370 × 3 – 10 1100
274. Ans. b)
Series Pattern
Given Series
51
51
51 + (52 + 12) = 77
77
2
2
77 + (7 + 7 ) = 175
175
175 + (12 + 72 + 52) = 250
250
250 + (22 + 52 + 02) = 279
279
2
2
279 + (2 + 7 + 92) = 413
413
275 Ans. a)
Series Pattern Given Series
2
2
2 × 0.5 + 1
2
2 × 1.5 + 2
5
5 × 2.5 + 3
15.5
15.5 × 3.5 + 4 58.25
58.25 × 4.5 + 5 = 267.125
276. Ans.a)
Series is
×0.25, ×0.5, ×1, ×2, ×4
277. Ans. b)
Series is +31 , +32 , +33 , +34 , +35
∴ ? = 126 + 243 = 369
278. Ans. c)
Series is +2.5, +5, +10, +20, +40
∴ ? = 39.5 + 40 = 79.5
279. Ans. b)
Series is
26² + 1 = 677 28² + 1 = 785
30² + 1 = 901 32² + 1 = 1025
34² + 1 = 1157 36² + 1 = 1297
OR
265. Ans. b)
266. Ans. e)
∴ ? = 23
267. Ans. c)
Pattern is
1³, 2³, 3³, 4³, 5³, 6³
∴ ? = 125
268 Ans.a)
Pattern is
∴ ? = 25
269. Ans. d)
The pattern is
×1+2, ×2+3, ×3+4, ×4+5, ×5+6 ………
∴ ? = 2.4×2+3 = 7.8
270. Ans. e)
Pattern is
×2 – 2, ×3 – 3, ×4 – 4, ……..
∴ ? = 18 × 4 – 4 = 68
271. Ans. e)
Series Pattern Given Series
10
10
10 + 2! = 12
12
12 + 3! = 18
18
18 + 4! = 42
42
42 + 5! = 162 162
162 + 6! = 882
882
272. Ans. c)
Series Pattern Given Series
2
2
2×1+6
8
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
265
@Crossword2022
287. Ans. c)
280. Ans. d)
Series is ×2+2, ×3+3, ×4+4,
×5+5, ×6+6
∴ ? = 325 × 6 + 6 = 1956
281. Ans. d)
Series Pattern Given Series
219
219 + (12 + 1 + 2) = 223
223 + (22 + 2 + 3) = 232
232 + (32 + 3 + 4) = 248
248 + (42 + 4 + 5) = 273
282. Ans.a)
3 5 7 9
× ,× ,× ,× …
2 2 2 2
283. Ans. c)
Series Pattern Given Series
11
11 + 42 = 53
53 + 40 = 93
93 + 36 = 129 129
129 + 30 = 159
159 + 22 = 181
284. Ans. d)
Series Pattern Given Series
12
12 × 0.5 = 6
6 × 2.5 = 15
15 × 4.5 = 67.5
67.5 × 6.5 = 43
438.75
438.75 × 8.5
= 3729.375 3729.375
285. Ans.a)
×1+1, ×2+2, ×3+3, ×4+4,…
286. Ans.a)
100 121 144 169 196 225
⎸
⎸
⎸
⎸
⎸
288. Ans.b)
5760/6 = 960
960/5 = 192
192/4 = 48
48/3 = 16
16/2 = 8
289. Ans.a)
441 484 529 576 625 676
219
223
232
248
273
⎸
⎸
⎸
⎸
⎸
⎸
2
2
2
2
2
262
21 22 23 24 25
290. Ans. d)
291. Ans. a)
Series Pattern Given Series
11 × 12 = 132 132
12 × 13 = 156 156
13 × 14 = 182 182
14 × 15 = 210 240
15 × 16 = 240 240
16 × 17 = 272 2722
292. Ans. d)
Pattern is +23 × 1, +23 × 2, +23 × 3, +23 ×
4, +23 × 5 ∴ ? = 1050 + 23 × 6 = 1188
293. Ans. b)
Pattern is × 1,× 2.5,× 4,× 5.5,× 7, 8.5
∴ ? = 880 × 7 = 6160
294. Ans. d) Pattern is
+11.5, +12.5, +13.5, +14.5, +15.5
∴ ? = 112.5 + 15.5 = 128
295. Ans. b)
8 × 1 + 1 = 9, 9 × 2 + 4 = 22
22 × 3 + 9 = 75, 75 × 4 + 16 = 316
316 × 5 + 25 = 1605
296. Ans. d)
Series is
11
53
93
159
181
12
6
15
67.5
8.75
⎸
102 112 122 132 142 152
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
266
@Crossword2022
306. Ans. b)
Pattern is ÷ 2,÷ 2,÷ 2,÷ 2,÷ 2
∴ ? = 460 ÷ 2 = 230
307. Ans.a)
Pattern is × 2,÷ 3,× 4,÷ 5,× 6
∴ ? = 8 × 6 = 48
308. Ans. b)
Series pattern
given series
40/3
40/3
40/3 × 1.5 + 2 = 22
22
22 × 1.5 + 3 = 36
36
36 × 1.5 + 4 = 58
58
58 × 1.5 + 5 = 92
92
92 × 1.5 + 6 = 144
144
309. Ans. b)
The logic in the series is as follows:
297. Ans. b)
Pattern is ÷8, ÷6, ÷4, ÷2 ∴ ?
= 12.5 ÷ 4 = 3.125
298. Ans.a)
299. Ans. d)
Pattern is +14×1, +14×3, +14×9, +14×27
∴ ? = 564 + 14 × 81 = 1698
300. Ans. b)
Pattern is ×1+1, ×2+2, ×3+3, ×4+4, ×5+5
∴ ? = 352 × 5 + 5 = 1765
301. Ans. b)
Pattern is
−2.5, +5, −7.5, +10, −12.5, +15
∴ ? = 31 – 12.5 = 18.5
302. Ans. c)
Series is, 122 , 162 , 202 , 242 , 282 , 322
∴ ? = 322 = 1024
303. Ans. b)
Pattern is +3, +6, +9, +12, +15
∴ ? = 43 + 15 = 58
304. Ans. d)
Series is 5 + 4 = 9
9 + 8 = 17
17 +16 = 33
33 + 32 = 65
65 + 64 = 129
305. Ans.a)
Series is 33 − 1 = 27 − 1 = 26
43 − 1 = 64 − 1 = 63
53 − 1 = 125 − 1 = 124
63 − 1 = 216 − 1 = 215
73 − 1 = 343 − 1 = 342
83 − 1 = 512 − 1 = 511
∴ ? = 511
Or
124 + (2 2 - 1) = 127
127 + (3 2 - 1) = 135
135 + (4 2 - 1) = 150
150 + (5 2 - 1) = 174
174 + (6 2 - 1) = 209
310. Ans. b)
The logic in the series is as follows:
Or
124 + (2 2 - 1) = 127
127 + (32 - 1) = 135
135 + (4 2 - 1) = 150
150 + (5 2 - 1) = 174
174 + (6 2 - 1) = 209
311. Ans. b)
Series is
312. Ans. c)
5 * 1.5 - 0.5 = 7
7 * 2 - 2 = 12
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
267
@Crossword2022
12 * 2.5 - 8 = 22
22 * 3 - 32 = 34
34 * 3.5 - 128 = − 9
313. Ans. c)
Pattern is × 0.5, × 1, × 1.5, × 2, × 2.5, × 3
∴ ? = 7.5 × 3 = 22.5
314. Ans.a)
Pattern is ÷ 4,÷ 4,÷ 4,÷ 4,÷ 4
∴ ? = 27.75 ÷ 4 = 6.9375
315. Ans. d)
9 + 5 = 14
14 + 5 + 16 = 35
35 + 5 + 16 + 12 = 68
68 + 5 + 16 + 12 + 8 = 109
109 + 5 + 16 + 12 + 8 + 4 = 154
316. Ans.a)
+9², +11², +13², +15²…….
317. Ans. d)
–9², –7², –5²……….
318. Ans. c)
+4², +5², +6², +7²………
319. Ans. b)
323. Ans. d)
Series is
324. Ans. b)
Pattern is ×1.5+ 2, ×1+2, ×1.5+ 2,
×1+2…….
∴ ? = 14.5 × 1.5 + 2 = 23.75
325. Ans. b)
Pattern is +11×3, +11×5, +11×7, +11×9,
+11×11
∴ ? = 1320 + 77 = 1397
326. Ans. b)
Pattern is -0.01, -0.02, -0.03, -0.04….
∴ ? = 0.901 – 0.05 = 0.851
327. Ans. d)
Series is 13², 17², 19², 23², 29², 31², 37²,
(square of prime numbers)
∴ ? = 17² = 289
328. Ans. c)
Series is 1³ - 1² = 0
2³ - 2² = 4
3³ - 3² = 18
4³ - 4² = 48
5³ - 5² = 100
6³ - 6² = 180
329. Ans. b)
Pattern is ÷ 3, ÷ 3, ÷ 3, ÷ 3…….
∴ ? = 135 ÷ 3 = 45
330. Ans.d)
147+21=168
168+21=189
189+21=210
210+21=231
231+21=252
331. Ans. b)
4.5 + 11.5 = 16
16 + 9.5 = 25.5
25.5 + 7.5 = 33
320. Ans. b)
–103, –103, –103………
321. Ans.a)
Series is
22. Ans. c)
Pattern is ×2 + 1, ×4+ 3, ×6+5, ×8+7,
×10+9……
∴ ? = 119 × 8 + 7 = 959
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
268
@Crossword2022
33 + 5.5 = 38.5
38.5 + 3.5 = 42
42 + 1.5 = 43.5
So, the missing terms is 25.5
332. Ans. c)
Pattern is
×1, × 2.5, ×4, ×5.5, ×7, ×8.5……
∴ ? = 715×7 = 5005
333. Ans. d)
Pattern is
339. Ans. d)
Pattern is +14×1, +14×3, +14×9, +14×27
∴ ? = 563 + 14 × 81
= 1697
340. Ans. b)
Pattern is ×1+1, ×2+2, ×3+3, ×4+4, ×5+5
∴ ? = 448 × 5 + 5
= 2245
341. Ans. c)
Series Pattern Given Series
186
186
186 + 24 = 210
210
210 + 48 = 258
258
258 + 24 = 282
282
282 + 48 = 330
330
330 + 24 = 354
354
342. Ans. c)
Series Pattern
Given Series
3
3
3×4–3=9
9
9 × 4 – 3 = 33
33
33 × 4 – 3 = 129
129
129 × 4 – 3 = 513
513
513 × 4 – 3 = 2049
2049
343. Ans: b)
Series Pattern
Given Series
(48)2 – 5 = 2299
2299
(47)2 – 6 = 2203
2203
(46)2 – 7 = 2109
2109
(45)2 – 8 = 2017
2017
(44)2 – 9 = 1927
1927
(43)2 – 10 = 1839
1839
344.Ans: b)
Series Pattern Given Series
98
98
98 × 0.5 + 0.5 = 49.5
49.5
49.5 × 1 + 1 = 50.5
50.5
50.5 × 1.5 + 1.5 = 77.25
77.25
77.25 × 2 + 2 = 156.5
156.5
156.5 × 2.5 + 2.5 = 393.75
393.75
345. Ans. d)
The pattern is:
12 ×0.5 =6
334. Ans.b)
19 + 13 × 6 = 97
97 + 13 × 5 = 162
162 + 13 × 4 = 214
214 + 13 × 3 = 253
253 + 13 × 2 = 279
335. Ans. e)
Pattern is
∴ ? = 193 + 91 = 284
336. Ans. d)
Series is
337. Ans. b)
Pattern is ÷8, ÷6, ÷4, ÷2
∴ ? = 25 ÷ 4 = 6.25
338. Ans.a)
Series is
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
269
@Crossword2022
6 × 1 =6
6× 2=12 and so on
346. Ans. e)
The pattern of the number series
is+72 , +62 , +52 , +42 , +32 = 142
347. Ans. c)
The pattern of the number series is × 1 + 2,
× 3 + 4, × 5 + 6, × 7 + 8, × 9 + 10
? = 610 × 9 + 10 = 5500
348. Ans.a)
Series Pattern
Given Series
383
383
383 + (8 + 3) = 394
394
394 + (9 + 4) = 407
407
407 + (0 + 7) = 414
414
414 + (1 + 4) = 419
419
419 + (1 + 9) = 429
429
349. Ans. d)
The number series is
33 , 53 , 73 , 93 , 113 , 133
? = 2197
350. Ans. b)
3 × 4 - 1 = 11, 11 × 4 - 2 = 42
42 × 4 - 3 = 165, 165 × 4 – 4
= 656
656 × 4 - 5 = 2619
351. Ans. b)
354. Ans. e)
3+4=7
4 + 7 = 11
7 + 11 = 18
11 + 18 = 29
355. Ans. d)
356. Ans. b)
357. Ans. d)
358. Ans. e)
359. Ans.a)
360. Ans. c)
(13 + 1) = 2,
(33 + 3) = 30,
(53 + 5)=130,
(73 + 7)=350,
(93 + 9)=738,
(113 + 11)=1342
361. Ans. c)
37, 41, 43, 47, 53 are prime numbers.
352. Ans. c)
353. Ans.a)
362. Ans. e)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
270
@Crossword2022
363. Ans. a)
The logic in the series is: (n + 1)th term
= (nth term + 5n) ÷ 2 [n ≥ 1]
(11 + 5) ÷ 2 = 8
(8 + 10) ÷ 2 = 9
(9 + 15) ÷ 2 = 12
(12 + 20) ÷ 2 = 16
(16 + 25) ÷ 2 = 20.5
(20.5 + 30) ÷ 2 = 25.25
364. Ans. b)
1792 – 17 = 1775
1775 – 13 = 1762
1762 – 11 = 1751
1751 – 7 = 1744
371. Ans. b)
372. Ans. e)
.
373. Ans.e)
4 + 7 = 11
11 + 11 = 22
22 + 17 = 39
39 + 25 = 64
64 + 35 = 99
Therefore, the missing number is 64.
374 Ans.b)
3 + 02 = 3
3 + 22 = 7
7 + 42 = 23
23 + 62 = 59
59 + 82 = 123
Therefore, the missing number is 23.
375. Ans.a)
11 × 1 = 11
12 × 2 = 24
13 × 3 = 39
14 × 4 = 56
15 × 5 = 75
16 × 6 = 96
Therefore, the missing number is 75.
376. Ans.c)
22 + 2 = 6
42 + 4 = 20
62 + 6 = 42
82 + 8 = 72
102 + 10 = 110
122 + 12 = 156
Therefore, the missing number is 72.
365. Ans. d)
366. Ans. d)
7 × 2 = 14
14 × 3 = 42
42 × 5 = 210
210 × 7 = 1470
1470 × 11 = 16,170
367. Ans.a)
368. Ans. c)
789 + (1)³ = 790
790 + (2)³ = 798
798 + (3)³ = 825
825 + (4)³ = 889
889 + (5)³ = 1014
369. Ans. b)
370.
Ans. e)
1811 – 19 = 1792
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
271
@Crossword2022
377. Ans.a)
1st series
21 + 3 = 24
24 + 5 = 29
29 + 7 = 36
2nd series
22 + 2 = 24
24 + 4 = 28
28 + 6 =34
Therefore, the missing number is 24.
378. Ans.a)
11 × 0.5 + 0.5 = 6
6×1+1=7
7 × 1.5 + 1.5 = 12
12 × 2 + 2 = 26
26 × 2.5 + 2.5 = 67.5
379. Ans.c)
7 × 6 = 42
42 × 5 = 210
210 × 4 = 840
840 × 3 = 2520
2520 × 2 = 5040
380. Ans.e)
254 ÷ 2 – 1 = 126
126 ÷ 2 – 1 = 62
62 ÷ 2 – 1 = 30
30 ÷ 2 – 1 = 14
14 ÷ 2 – 1 = 6
381. Ans.a)
56 + 13 = 57
57 – 23 = 49
49 + 33 = 76
76 – 43 = 12
12 + 53 = 137
382. Ans.c)
There are two series in this question
1st is 15, 18, ?
15 + 3 = 18
18 + 3 = 21
2nd is 24, 21, 18
24 – 3 = 21
21 – 3 = 18
383. Ans.a)
Patter of series
42 + (132 + 1) = 212
212 + (112 + 1) = 334
334 + (92 + 1) = 416
416 + (72 + 1) = 466
? = 466 + (52 + 1) = 492
384. Ans.c) Patter of series –
244 – 57 = 187
187 – 47 = 140
140 – 37 = 103
? = 103 – 27 = 76
76 – 17 = 59
385. Ans.b)
Pattern of series –
? = 48 ×4.5= 216
216 ×3.5=756
756 ×2.5=1890
1890 ×1.5=2835
2835 ×0.5=1417.5
386. Ans.e)
Patter of series –
6 ×5+5=35
35 ×4+4=144
144 ×3+3=435
? = 435 ×2+2= 872
872 ×1+1=873
387. Ans.e)
? = 26 + 4= 30
30 – 8 = 22
22 + 4 = 26
26 – 8 = 18
18 + 4 = 22
22 – 8 = 14
388. Ans.d)
The pattern is as follows:
38 + 40 = 39
39 + 41 = 43
43 + 42 = 59
59 + 43 = 123
123 + 44 = 379
379 + 45 = 1403
389. Ans.d)
The pattern is as follows:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
272
@Crossword2022
1 x 2 + 9 = 11
2 x 3 + 10 = 16
3 x 4 + 11 = 23
4 x 5 + 12 = 32
5 x 6 + 13 = 43
6 x 7 + 14 = 56
390. Ans.b)
The pattern is as follows:
41 + 73 + 8 = 392
392 + 83 + 9 = 913
913 + 93 + 10 = 1652
1652 + 103 + 11 = 2663
2663 + 113 + 12 = 4006
391. Ans.d)
The pattern is as follows:
6 x 5 = 30
30 x 6 = 180
180 x 7 = 1260
1260 x 8 = 10080
10080 x 9 = 90720
392. Ans.c)
79 + 102 = 179
179 + 122 = 323
323 + 142 = 519
519 + 162 = 775
775 + 182 = 1099
393. Ans.c)
80 × 0.5 = 40
40 × 1 = 40
40 × 1.5 = 60
60 × 2 = 120
120 × 2.5 = 300
394. Ans.e)
102 + (16 × 5) = 182
182 + (16 × 4) = 246
246 + (16 × 3) = 294
294 + (16 × 2) = 326
326 + (16 × 1) = 342
395. Ans.a)
15 + 152 = 240
240 – 142 = 44
44 + 132 = 213
213 – 122 = 69
69 + 112 = 190
396. Ans.d)
21 × 1 – 5 = 16
16 × 2 – 5 = 27
27 × 3 – 5 = 76
76 × 4 – 5 = 299
299 × 5 – 5 = 1490
397. Ans.a)
202 – 1 = 399
212+ 2 = 443
222 – 3 = 481
232 + 4 = 533
242 – 5 = 571
252 + 6 = 631
398. Ans.b)
46 + 82 – 1 = 109
109 + 72 – 1 = 157
157 + 62 – 1 = 192
192 + 52 – 1 = 216
216 + 42 – 1 = 231
399. Ans.a)
124 + 15 × 1 = 139
139 + 15 × 2 = 169
169 + 15 × 3 = 214
214 + 15 × 4 = 274
274 + 15 × 5 = 349
400. Ans.d)
58 + 2! = 60
60 + 3! = 66
66 + 4! = 90
90 + 5! = 210
210 + 6! = 930
401. Ans.a)
4 + 23 = 12
12 + 33 = 39
39 + 43 = 103
103 + 53 = 228
228 + 63 = 444
402. Ans.e)
112 + 41 = 153
153 + 43 = 196
196 + 47 = 243
243 + 53 = 296
296 + 59 = 355
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
273
@Crossword2022
403. Ans.c)
15 × 6 = 90,
90 × 2 = 180
180 × 6 = 1080,
1080 × 2 = 2160
2160 × 6 = 12960,
12960 × 2 = 25920
404. Ans.b)
The pattern is as follows:
8 x 5 + 5 = 45
9 x 6 + 6 = 60
10 x 7 + 7 = 77
11 x 8 + 8 = 96
12 x 9 + 9 = 117
13 x 10 + 10 = 140
405. Ans.b)
4.52 = 20.25
4.82 = 23.04
5.12 = 26.01
5.42 = 29.16
5.72 = 32.49
6.02 = 36.0
406. Ans.b)
61 + 13 = 62
62 + 23 = 70
70 + 33 = 97
97 + 43 = 161
161 + 53 = 286
407. Ans.c)
Consecutive prime numbers are added to the
number:
658 + 11 = 669
669 + 13 = 682
682 + 17 = 699
699 + 19 = 718
718 + 23 = 741
408. Ans.a)
100 – 62 = 64
100 – 52 = 75
100 – 42 = 84
100 – 32 = 91
100 – 22 = 96
100 – 12 = 99
Therefore, the missing number is 91.
409. Ans.c)
22 + 1 = 5
42 + 2 = 18
62 + 3 = 39
82 + 4 = 68
102 + 5 = 105
122 + 6 = 150
Therefore, the missing number is 150.
410. Ans.b)
7×1+1=8
8 × 2 + 2 = 18
18 × 3 + 3 = 57
57 × 4 + 4 = 232
232 × 5 + 5 = 1165
Therefore, the missing number is 57.
411. Ans.d)
21 + 1 = 22
22 + 4 = 26
26 + 16 = 42
42 + 64 = 106
106 + 256 = 362
Therefore, the missing number is 106.
412. Ans.e)
364 – 60 = 304
304 – 50 = 254
254 – 40 = 214
214 – 30 = 184
184 – 20 = 164
Therefore, the missing number is 164.
413. Ans.b)
22 + (48 × 1) = 70
70 + (48 × 2) = 166
166 + (48 × 3) = 310
310 + (48 × 4) = 502
502 + (48 × 5)= 742
414. Ans.c)
1
28 × + 4 = 18
2
18 × 1 + 4 = 22
3
22 × + 4 = 37
2
37 × 2 + 4 = 78
5
78 × + 4 = 199
2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
274
@Crossword2022
415.
Ans.d)
25 + 8² + 1 = 90
Therefore, the missing number is 19.
424. Ans.d)
4 + 13 = 5
5 + 33 = 32
32 + 53 = 157
157 + 73 = 500
500 + 93 = 1229
Therefore, the missing number is 32.
425. Ans.e)
11 × 1 = 11
21 × 2 = 42
31 × 3 = 93
41 × 4 = 164
51 × 5 = 255
61 × 6 = 366
Therefore, the missing number is 255.
426. Ans.a)
2520 ÷ 5 = 504
504 ÷ 4 = 126
126 ÷ 3 = 42
42 ÷ 2 = 21
21 ÷ 1 = 21
Therefore, the missing number is 21.
427 . Ans.c)
11 + 11 × 1 = 22
22 + 11 × 2 = 44
44 + 11 × 3 = 77
77 + 11 × 4 = 121
121 + 11 × 5 = 176
Therefore, the missing number is 77.
428. Ans.e)
9 + 12 = 10
10 + 23 = 18
18 + 32 = 27
27 + 43 = 91
91 + 52 = 116
429. Ans.b)
3 × 4 = 12
5 × 6 = 30
7 × 8 = 56
9 × 10 = 90
11 × 12 = 132
13 × 14 = 182
90 + 72 + 1 = 140
140 + 6² + 1 = 177
177 + 5² + 1 = 203
203 + 4² + 1 = 220
416. Ans.e)
417. Ans.a)
21 × 3 + 2 = 65
65 × 3 + 4 = 199
199 × 3 + 6 = 603
603 × 3 + 8 = 1817
1817 ×3+ 10 = 5461
418. Ans.a)
×5–2, ×4–3, ×3–4, ×2–5, ×1–6
⇒ 1001 × 1 – 6 = 995
419. Ans.b)
420. Ans.d)
Series is
+2²–1, +4²–2, +6²–3, +8²–4, 10²–5
⇒ 160 + 10²– 5 = 255
421. Ans.e)
1
2
3
4
3
3
3
3
× , × , × , × , …⇒ 36 × 1 = 36
422. Ans.b)
Series is
×½+0.5, ×1+2, ×2+8, ×4+32, ×8+128
⇒ 120 × 8 + 128 = 1088
423. Ans.b)
5 + 21 = 7
7 + 22 = 11
11 + 23 = 19
19 + 24 = 35
35 + 25 = 67
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
275
@Crossword2022
430. Ans.e)
5 × 3 = 15
15 × 5 = 75
75 × 7 = 525
525 × 9 = 4725
4725 × 11 = 51975
431. Ans.a)
999 − 111 = 888
888 − 110 = 778
778 − 109 = 669
669 − 108 = 561
561 − 107 = 454
432. Ans.c)
1×1+2 =3
3×2+3 =9
9 × 3 + 4 = 31
31 × 4 + 5 = 129
129 × 5 + 6 = 651
23 + 7 = 30
30 + 6 = 36
35 + 5 = 41
41 + 4 = 45
437 Ans.a).
Pattern is
7 × 2 = 14
14 × 2 = 28
28 × 2 = 56
56 × 2 = 112
112 × 2 = 224
438. Ans.c)
433. Ans.d)
3 + (5 × 1) = 8
8 + (5 × 2) = 18
18 + (5 × 3) = 33
33 + (5 × 4) = 53
53 + (5 × 5) = 78
434 Ans.a)
Pattern is
32 = 9
43 = 64
52 = 25
63 = 216
72 = 49
83 = 512
435. Ans.e)
Pattern is
12 × 2 + 12 = 36
36 × 2 + 8 = 80
80 × 2 + 4 = 164
164 × 2 + 0 = 328
328 × 2 − 4 = 652
436. Ans.d)
15 + 8 = 23
440. Ans.a)
439 Ans.e)
Fibonacci series
2 3 5 8 13 21
2+3=5
5+3=8
8 + 5 = 13
13 + 8 = 21
441. Ans.d)
442. Ans.c)
443. Ans.a)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
276
@Crossword2022
452. Ans.a)
444. Ans.c)
453. Ans.b)
The pattern is : ÷ 3, ÷ 4, ÷ 3, ÷ 4, …….
454. Ans.b)
The pattern is:
461 + 13 = 474
474 - 9 = 465
465 + 13 = 478
478 - 9 = 469
469 + 13 = 482
455. Ans.b)
Pattern is ×2 – 1, ×4 – 3, ×6 – 5, ×8 – 7, ×10 –
9..
456. Ans.e)
Pattern is 13+1, 43 – 4, 23+2, 53 –5, 33+3, 63 –
6
457. Ans.b)
It is combination of 3 series.
1st series: 0, 3, 6,…
2nd series: 4,7,?
3rd series: 6, 9, 12, …
In the second series, each term is increased by
3 to obtain the next term. So, the missing term
is
7 + 3 = 10
458. Ans.d)
445. Ans.a)
446. Ans.e)
447. Ans.c)
448 Ans.c)
449. Ans.a)
459. Ans.e)
450. Ans.d)
451. Ans.d)
460. Ans.a)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
277
@Crossword2022
461. Ans.b)
467. Ans.b)
468. Ans.b)
462. Ans.e)
469. Ans.e)
Pattern is→
8 × 0.25 + 1 = 3
3 × 0.5 + 2 = 3.5
3.5 × 1 + 4 = 7.5
7.5 × 2 + 8 = 23
23 × 4 + 16 = 108
470. Ans.a)
463.
Ans.c)
The pattern is as follows:
(26 - 2) x 2 = 48
(48 - 2) x 2 = 92
(92 - 2) x 2 = 180
(180 - 2) x 2 = 356
(356 - 2) x 2 = 708
(708 - 2) x 2 = 1412
464. Ans.a)
The pattern is as follows:
23 + 30 = 24
24 + 31 = 27
27 + 32 = 36
36 + 33 = 63
63 + 34 = 144
144 + 35 = 387
465 Ans.a)
The pattern is as follows:
25 x 1 - 4 = 21
21 x 2 - 8 = 34
34 x 3 - 12 = 90
90 x 4 - 16 = 344
344 x 5 - 20 = 1700
1700 x 6 - 24 = 10176
466. Ans.a)
203 + 73= 546
546 + 143= 3290
3290 + 213= 12551
12551 + 283= 34503
34503 + 353= 77378
77378 + 423= 151466
471. Ans.e)
472. Ans.b)
Series is, +2², +3², +5², +7², +11²
? = 30 + 5² = 55
473. Ans.d)
Series is,
1
× + 0.25, × 1 + 0.5, × 2 + 1, × 4 + 2
2
? = (2.25 − 0.25) × 2 = 2 × 2 = 4
474. Ans.e)
475. Ans.a)
Series is→
+(9 × 10), + (7×8), +(5×6), +(3×4),
+(1×2)
66 + 90 = 156
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
278
@Crossword2022
476. Ans.b)
485. Ans.b)
477. Ans.b)
486. Ans.b)
487. Ans.d)
478. Ans.a)
488. Ans.a)
479. Ans.a)
480. Ans.d)
489. Ans.b)
481. Ans.e)
490. Ans.a)
482. Ans.c)
491. Ans.c)
483. Ans.a)
492. Ans.c)
484. Ans.d)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
279
@Crossword2022
493. Ans.d)
500. Ans.b)
494. Ans.b)
501. Ans.a)
Pattern is:
91 + (2 × 3) = 97
97 + (4 × 5) = 117
117 + (6 × 7) = 159
159 + (8 × 9) = 231
231 + (10 × 11) = 341
502. Ans.d)
Pattern is
495. Ans.a)
496. Ans d)
Series Pattern Given Series
45
45 + 22 = 49 49
49 – 32 = 40 40
40 + 42 = 56 56
56 – 52 = 31 31
31 + 62 = 67
497. Ans. a)
Series Pattern Given Series
6
6×1=6
6 × 2 = 12
12 × 3 = 36
36 × 4 = 144 144
144 × 5 = 720 720
498. Ans.c)
The series is:
4 × 2 + 2 = 10
10 × 3 + 3 = 33
33 × 4 + 4 = 136
136 × 5 + 5 = 685
499. Ans.e)
Pattern is
4 + 3³= 31
31 – 42 = 15
15 + 5³ = 140
140 – 6² = 104
104 + 7³ = 447
1
1
2
2
5× + = 3
3×1+1=4
4 × 2 + 2 = 10
10 × 4 + 4 = 44
44 × 8 + 8 = 360
503. Ans.c)
The pattern is as follows:
8 + (3 x 4) = 20
20 + (4 x 5) = 40
40 + (5 x 6) = 70
70 + (6 x 7) = 112
112 + (7 x 8) = 168
504. Ans.b)
The pattern is as follows:
17 x 2 = 34
34 x 3 = 102
102 x 4 = 408
408 x 5 = 2040
2040 x 6 = 12240
505. Ans.a)
The pattern is as follows:
17 + 17 = 34
17 + 34 = 51
34 + 51 = 85
51 + 85 = 136
85 + 136 = 221
45
6
6
12
36
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
280
@Crossword2022
506. Ans.b)
The pattern is as follows:
2577 - 92 = 2496
2496 - 82 = 2432
2432 - 72 = 2383
2383 - 62 = 2347
2347 - 52 = 2322
507 . Ans.c)
512. Ans.a)
513. Ans.d)
Logic in the series:
400 - 6 = 394
394 - 16 = 378
514. Ans.b)
378 - 26 = 352
352 - 36 = 316
316 - 46 = 270
515. Ans.e)
508. Ans.b)
Logic in the series:
18 + 13 = 31
31 + 11 = 42
42 + 7 = 49
516. Ans.b)
49 + 5 = 54
54 + 3 = 57
509. Ans.e)
517. Ans.a)
510. Ans.e)
518. Ans.b)
pattern is
27 + 113 = 1358
1358 − 92 = 1277
1277 + 73 = 1620
1620 − 52 = 1595
519. Ans.c)
1595 + 33 = 1622
So, ?=1620 – 52= 1595
511. Ans.b)
Pattern is –
48 × 1.5 = 72
520. Ans.c)
72 × 2.5 = 180
180 × 4.5 = 810
810 × 7.5 = 6075
So,?= 810 × 7.5 = 6075
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
281
@Crossword2022
521. Ans.a)
42 – 20 = 22
22 + 25 = 47
529. Ans.b)
12 × 1 – 2 = 10
10 × 2 – 3 = 17
17 × 3 – 4 = 47
522. Ans.b)
47 × 4 – 5 = 183
183 × 5 – 6 = 909
530. Ans.d)
523. Ans.e)
531. Ans.e)
102 114 129 153 204 336
Difference
524. Ans.a)
= 12 15 24 51 132
3 9 27 81
31 32 33 34
= 336
525. Ans.d)
13 + 43= 77
77 + 83= 589
589 + 123= 2317
2317 + 163= 6413
6413 + 203= 14413
14413 + 243= 28237
526. Ans.b)
525 – 13 = 524
524 – 23 = 516
516 – 33 = 489
489 – 43 = 425
425 – 53 = 300
527. Ans.e)
24 × 1.5 = 36
36 × 2 = 72
72 × 2.5 = 180
180 × 3 = 540
540 × 3.5 = 1890
528. Ans.c)
32 + 5 = 37
37 – 10 = 27
27 + 15 = 42
532. Ans.a)
533. Ans.b)
The pattern is as follows:
16 x 6 = 96
15 x 7 = 105
14 x 8 = 112
13 x 9 = 117
12 x 10 = 120
11 x 11 = 121
534. Ans.e)
535. Ans.c)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
282
@Crossword2022
536. Ans.b)
543. Ans.b)
The logic in the series is as follows:
8*0.5 = 4
4*1 = 4
4*1.5 = 6
6*2 = 12
12*2.5 = 30
537. Ans.c)
544. Ans.c)
Logic in the series:
11 + 52 = 11 + 25 = 36
538 Ans.d)
36 + 62 = 36 + 36 = 72
72 + 72 = 72 + 49 = 121
121 + 8 2 = 121 + 64 = 185
539. Ans.b)
185 + 9 2 = 185 + 81 = 266
266 + 10 2 = 266 + 100 = 366
Hence, missing term = 366
545. Ans.b)
540. Ans.d)
The next number is obtained by adding sum
of digits of the previous number:
16 + 1 + 6 = 23
23 + 2 + 3 = 28
28 + 2 + 8 = 38
38 + 3 + 8 = 49
49 + 4 + 9 = 62
541. Ans.e)
The pattern is as follows:
93 - 1 = 728
83 - 2 = 510
73 - 3 = 340
63 - 4 = 212
53 - 5 = 120
43 - 6 = 58
542. Ans.d)
The next number is obtained by adding the
sum of the digits:
197 + 17 = 214
214 + 7 = 221
221 + 5 = 226
226 + 10 = 236
236 + 11 = 247 = 255
546. Ans.d)
547. Ans.a)
548. Ans.c)
549. Ans.e)
550. Ans.d)
(152+15)=240
(172+17)=306
(192+19)=380
(212+21)=462
(232+23)=552
(252+25)=650
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
283
@Crossword2022
31 + 2 = 33
33 + 3 = 36
36 + 5 = 41
41 + 7 = 48
48 + 11 = 59
562. Ans.e)
Pattern is
6 × 6 = 36
36 × 5 = 180
180 × 4 = 720
720 × 3 = 2160
2160 × 2 = 4320
563. Ans.b)
Pattern is
23 + 6 = 29
29 + 6 = 35
35 + 6 = 41
41 + 6 = 47
47 + 6 = 53
564. Ans.d)
1 + 22 = 5
5 + 32 = 14
14 + 42 = 30
30 + 52 = 55
55 + 62 = 91
565. Ans.a)
Here, the pattern followed is
160 × 0.5 = 80
80 × 1.5 = 120
120 × 2.5 = 300
300 × 3.5 = 1050
1050 × 4.5 = 4725
566. Ans.e)
Here, the pattern followed is
10800 ÷ 6 = 1800
1800 × 5 = 9000
9000 ÷ 4 = 2250
2250 × 3 = 6750
6750 ÷ 2 = 3375
567. Ans.c)
5 + (5 × 1) = 10
10 + (5 × 2) = 20
20 + (5 × 3) = 35
35 + (5 × 4) = 55
55 + (5 × 5) = 80
551. Ans.d)
552 Ans.a)
553 Ans.b)
554. Ans.e)
555. Ans.c)
556. Ans.b)
557. Ans.a)
558. Ans.e)
559. Ans.d)
560. Ans.c)
561. Ans.d)
Pattern is
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
284
@Crossword2022
568. Ans.a)
492 + 60 = 2461
575. Ans.a)
The pattern is as follows:
6 x 9 + 1 = 55
7 x 10 + 1 = 71
8 x 11 + 1 = 89
9 x 12 + 1 = 109
10 x 13 + 1 = 131
11 x 14 + 1 = 155
576. Ans.c)
The pattern is as follows:
4826809/13 = 371293
371293/13 = 28561
28561/13 = 2197
2197/13 = 169
169/13 = 13
577. Ans.e)
The pattern is as follows:
33 x 21 = 693
32 x 22 = 704
31 x 23 = 713
30 x 24 = 720
29 x 25 = 725
28 x 26 = 728
578. Ans.d)
The pattern is as follows:
232 + 8 = 537
222 + 7 = 491
212 + 6 = 447
202 + 5 = 405
192 + 4 = 365
182 + 3 = 327
579. Ans.b)
113 - 4 = 1327
103 - 5 = 995
93 - 6 = 723
83 - 7 = 505
73 - 8 = 335
63 - 9 = 207
580. Ans.e)
The pattern is as follows:
16 x 2.5 = 40.0
40 x 3.5 = 140.0
569. Ans.d)
570 Ans.a)
571. Ans.e)
572. Ans.b)
Pattern of series –
12 × 0.5 + 2 = 8
8 × 1 + 2 = 10
10 × 2 + 2 = 22
? = 22 × 4 + 2 = 90
90 × 8 + 2 = 722
573. Ans.a)
The pattern is as follows:
128 x 2.5 = 320.0
320 x 3.5 = 1120.0
1120 x 4.5 = 5040.0
5040 x 5.5 = 27720.0
27720 x 6.5 = 180180.0
574. Ans.b)
The pattern is as follows:
242 + 35 = 611
292 + 40 = 881
342 + 45 = 1201
392 + 50 = 1571
442 + 55 = 1991
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
285
@Crossword2022
140 x 4.5 = 630.0
630 x 5.5 = 3465.0
3465 x 6.5 = 22522.5
581. Ans.b)
The pattern is as follows:
5 + (3 x 4) = 17
17 + (4 x 5) = 37
37 + (5 x 6) = 67
67 + (6 x 7) = 109
109 + (7 x 8) = 165
582. Ans.b)
The pattern is as follows:
12 x 3 = 36, 36 x 4 = 144
144 x 3 = 432, 432 x 4 = 1728
1728 x 3 = 5184, 5184 x 4 = 20736
583. Ans.a)
11 + 1² + 12
12 + 2² = 16
16 + 3² = 25
25 + 4² = 41
41 + 5² = 66
66 + 6² = 102.
584. Ans.d)
7 × 3 – 1 = 20
20 × 3 – 1 = 59
59 × 3 – 1 = 176
176 × 3 – 1 = 527
527 × 3 – 1 = 1580
585. Ans.e)
57 + (3 × 13) = 96
96 + (4 × 13) = 148
148 + (5 × 13) = 213
588. Ans.b)
The pattern is given (× 2+6),( (×
2+6)…………
= 410
589. Ans.b)
The given series is
+(−1)3 , + (2)2 , + (−3)3 , + (4)2 , + (−5)3
590. Ans.e)
The given series is
27 38 71 126 203 302
11 33 55 77 99
+(11×1), +(11 × 3), +(11 × 5), +(11 × 7),
+(11 × 9)
So next no. is 302
591. Ans.c)
The given series is
–(9 × 9), –(9 × 8), –(9 × 7), –(9 × 6), –(9 ×
5)
592. Ans.c)
The given series is
+(14)², + (13)², +(12)², +(11)², + (10)²
593. Ans.b)
594. Ans.d)
586 Ans.b)
1³ – 1 = 0
3³ – 1 = 26
5³ – 1 = 124
7³ – 1 = 342
9³ – 1 = 728
11³ – 1 = 1330.
587. Ans.e)
18 + (1 ×13) = 31
31 + (2 × 13) = 57
595. Ans.e)
596. Ans.a)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
286
@Crossword2022
597. Ans.c)
606. Ans a)
607. Ans b)
598. Ans.b)
608. Ans b)
Missing Number = 450
599. Ans.b)
609. Ans d)
Missing Number = 178
600. Ans.d)
601. Ans e)
610. Ans e)
Missing Number = 130
602. Ans c)
611. Ans a)
Missing Number= 354
603. Ans c)
604. Ans b)
612. Ans b)
Missing Number = 110
605. Ans e)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
287
@Crossword2022
613. Ans d)
5.5 × 1 + 6 = 11.5
11.5 × 2 + 12 = 35
35 × 4 + 24 = 164
164 × 8 + 48 = 1360
622. Ans d)
614. Ans c)
Pattern is
1656
– 3 = 549
3
549
– 3 = 180
3
180
– 3 = 57
3
57
– 3 = 16.
3
623. Ans c)
615. Ans b)
616. Ans e)
Missing Number = 172
617. Ans a)
624. Ans e)
618. Ans d)
Pattern is
5×1+2=7
7 × 3 + 4 = 25
25 × 5 + 6 = 131
131 × 7 + 8 = 925
925 × 9 + 10 = 8335
619. Ans a)
625. Ans b)
The logic in the series is as follows:
700 - 7*6 = 658
658 - 6*5 = 628
628 - 5*4 = 608
608 - 4*3 = 596
596 - 3*2 = 590
620. Ans c)
626. Ans e)
621. Ans e)
Pattern is
5 × 0.5 +3 = 5.5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
288
@Crossword2022
627. Ans c)
634. Ans a)
The pattern is as follows:
5 x 6 + 10 = 40
6 x 7 + 11 = 53
7 x 8 + 12 = 68
8 x 9 + 13 = 85
9 x 10 + 14 = 104
10 x 11 + 15 = 125
635. Ans b)
The pattern is as follows:
172 + 5 = 294
162 + 4 = 260
152 + 3 = 228
142 + 2 = 198
132 + 1 = 170
122 + 0 = 144
636. Ans a)
The pattern is as follows:
6 + 20 x 1 = 26
26 + 20 x 2 = 66
66 + 20 x 3 = 126
126 + 20 x 4 = 206
206 + 20 x 5 = 306
637. Ans e)
The pattern 10 being multipled by
consecutive prime numbers:
10 x 2 = 20
10 x 3 = 30
10 x 5 = 50
10 x 7 = 70
10 x 11 = 110
10 x 13 = 130
638. Ans d)
13 + 1 = 2
23 + 2 = 10
33 + 3 = 30
43 + 4 = 68
53 + 5 =130 ans
63 + 6 = 222
639. Ans b)
Consecutive prime numbers
628. Ans b)
629. Ans b)
8
↓
4 + 22
13
↓
4 + 32
20
↓
4 + 42
29
↓
4 + 52
40
↓
4 + 62
63
↓
43 − 1
124
↓
53 – 1
215
↓
63 – 1
342
↓
73 − 1
511
↓
83 – 1
42
↓
6×7
56
↓
7×8
5
↓
4 + 12
630. Ans e)
26
↓
33 − 1
631. Ans d)
6
↓
2×3
12
↓
3×4
20
↓
4×5
30
↓
5×6
OR
632. Ans c)
633. Ans b)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
289
@Crossword2022
640. Ans c)
650. Ans e)
641. Ans e)
642. Ans a)
651. Ans b)
643. Ans d)
652. Ans d)
644. Ans e)
70560 ÷ 3 = 23520
23520 ÷ 4 = 5880
5880 ÷ 5 = 1176
1176 ÷ 6 = 196
196 ÷ 7 = 28
645. Ans a)
653. Ans b)
Correct answer is 55
25 + 5 = 30
30 + 10 = 40
40 + 15 = 55
55 + 20 = 75
75 + 25 = 100
(also, the addition is in pattern of +5).
654. Ans d)
Correct answer is 525
Pattern is
4×1+1 =5
5×2−2 =8
8 × 3 + 3 = 27
27 × 4 − 4 = 104
104 × 5 + 5 = 525
655. Ans e)
Correct answer is 10
Pattern is
20 × 0.5 = 10
10 × 1 = 10
10 × 1.5 = 15
646. Ans b)
647. Ans e)
648. Ans d)
649. Ans b)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
290
@Crossword2022
15 × 2 = 30
30 × 2.5 = 75
75 × 3 = 225
656. Ans a)
Correct answer is 9
Pattern is (square of prime numbers)
132 = 169
112 = 121
72 = 49
52 = 25
32 = 9
22 = 4
657. Ans b)
Correct answer is 2.5
663. Ans b)
664. Ans d)
665. Ans d)
Pattern is
666. Ans a)
80 × 0.5 = 40
40 × 0.5 = 20
20 × 0.5 = 10
667. Ans b)
10 × 0.5 = 5
5 × 0.5 = 2.5
658. Ans e)
Series is —
×6–6, ×5–5, ×4–4,….
668. Ans b)
The logic in the series is as follows:
300 - 92 = 219
219 + 10 2 = 319
319 - 112 = 198
198 + 12 2 = 342
342 - 132 = 173
669. Ans c)
The pattern is as follows:
15 x 1 = 15
15 x 2 = 30
30 x 3 = 90
90 x 4 = 360
360 x 5 = 1800
670. Ans b)
The successive differences are 24, 26, 28,
30, 32
So the next term is 179+32 = 211
12525 × 2 – 2 = 25048
659. Ans a)
Series is
+(2²+2), +(3²+3), +(4²+4),….
71 + (6² + 6) = 113
660. Ans c)
Series is —
1
1
× + 1, × + 1 …
2
2.5 ×
2
1
2
+ 1 = 2.25
661. Ans d)
Series is —
+2³, –3², + 4³, –5², +6³
45 + 6³ = 261
662. Ans a)
Series is —
+15, +21, +27, +33, +39
112 + 39 = 151
671. Ans d)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
291
@Crossword2022
The pattern 8 being multipled by consecutive
prime numbers:
8 x 2 = 16
8 x 3 = 24
8 x 5 = 40
8 x 7 = 56
8 x 11 = 88
8 x 13 = 104
672. Ans d)
13 + 7x1 + 1 = 21
21 + 7x2 + 1 = 36
36 + 7x3 + 1 = 58
58 + 7x4 + 1 = 87
87 + 7x5 + 1 = 123
673. Ans a)
Pattern is
53 = 125
63 = 216
73 = 343
83 = 512
93 = 729
103 = 1000
680. Ans e)
Pattern is
53 − 52 = 100
63 − 62 = 180
73 − 72 = 294
83 − 82 = 448
93 − 92 = 648
103 − 102 = 900
681. Ans d)
35+7=42
42+7= 49
49+7=56
56+7=63
63+7=70
682. Ans: d)
Series Pattern
83 – 4 = 508
72 + 4 = 53
63 – 4 = 212
52 + 4 = 29
43 – 4 = 60
32 + 4 = 13
683 Ans: d)
Series Pattern
9 × 61 = 54
9 × 52 = 225
9 × 43 = 576
9 × 34 = 729
9 × 25 = 288
9 × 16 = 9
684. Ans: a)
Series Pattern
35
35 × 6 = 210
210 × 5 = 1050
1050 × 4 = 4200
674. Ans d)
675. Ans e)
676. Ans e)
677. Ans d)
678. Ans b)
Pattern is
20+(4×1)=24
24+(4×2)=32
32+(4×3)= 44
44+(4×4)=60
60+(4×5)=80
679. Ans b)
Given Series
508
53
212
29
60
13
Given Series
54
225
576
729
288
9
Given Series
35
210
1050
4200
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
292
@Crossword2022
4200 × 3 = 12600
12600
12600 × 2 = 25200 25200
685. Ans: b)
Series Pattern
Given Series
25
25
25 + (2 + 5) = 32 32
32 + (3 + 2) = 37 37
37 + (3 + 7) = 47 47
47 + (4 + 7) = 58 58
58 + (5 + 8) = 71 71
686. Ans. c)
Series Pattern
Given Series
240
240
240 ÷ 2 + 2 = 122 122
122 ÷ 2 + 3 = 64
64
64 ÷ 2 + 4 = 36
36
36 ÷ 2 + 5 = 23
23
23 ÷ 2 + 6 = 17.5 17.5
687. Ans: a)
Series Pattern
Given Series
256
256
256 + 118 = 374
374
374 + 130 = 504
504
504 + 142 = 646
646
646 + 154 = 800
800
800 + 166 = 966
966
688. Ans. b)
Series Pattern
Given Series
108
108
108 + 12 = 120
120
120 + 18 = 138
138
138 + 24 = 162
162
162 + 30 = 192
192
192 + 36 = 228
228
689. Ans. c)
Series Pattern
Given Series
2
2
3
2+1 =3
3
3 + 33 = 30
30
30 + 53 = 155
155
3
155 + 7 = 498
498
498 + 93 = 1227
1227
690. Ans d)
691. Ans b) The logic in the series is as follows:
1092 - 36 = 363
363 - 35 = 120
120 - 34 = 39
39 - 33 = 12
12 - 32 = 3
692. Ans e)
Series Pattern
Given Series
4 × 2 + 2 = 10
10
10 × 2 + 2 = 22
22
22 × 2 + 2 = 46
46
46 × 2 + 2 = 94
94
94 × 2 + 2 = 190
190
190 × 2 + 2 = 382
382
693. Ans d)
Series Pattern Given Series
12 × 2 = 2
2
22 × 2 = 8
8
2
3 × 2 = 18
18
42 × 2 = 32
32
52 × 2 = 50
50
2
6 × 2 = 72
72
694. Ans b)
The logic in the series is as follows:
2*6 - 2 = 10
10*5 - 2 = 48
48*4 - 2 = 190
190*3 - 2 = 568
568*2 - 2 = 1134
695. Ans b)
? 51 76 92 101
This series is based on the following
pattern:
101 - 32 = 92
92 - 42 = 76
76 - 52 = 51
51 - 62 = 15
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
293
@Crossword2022
∴ ? = 15
696. Ans b)
The logic in the series is as follows:
(8 + 1)*2 = 18
(18 + 1)*3 = 57
(57 + 1)*4 = 232
(232 + 1)*5 = 1165
(1165 + 1)*6 = 6996
697. Ans e)
1.1.1
The logic in the series is as follows:
116 + 18 x 4 = 188
188 + 18 x 5 = 278
701. Ans b)
The pattern is as follows:
73 - 2 = 341
63 - 3 = 213
53 - 4 = 121
43 - 5 = 59
33 - 6 = 21
23 - 7 = 1
702. Ans a)
The pattern 5 being multipled by consecutive
prime numbers:
5 x 2 = 10
5 x 3 = 15
5 x 5 = 25
5 x 7 = 35
5 x 11 = 55
5 x 13 = 65
703. Ans a)
Or,
100 - (12 + 1) = 98
98 + (2 2 + 2) = 104
104 - (32 + 3) = 92
92 + (4 2 +4) = 112
112 - (52 + 5) = 82
The missing term of the series will be 82.
698. Ans b)
The pattern is as follows:
128 x 0.5 = 64
64 x 1.0 = 64
64 x 1.5 = 96
96 x 2.0 = 192
192 x 2.5 = 480
699. Ans b)
The pattern is as follows:
29 + 30 = 30
30 + 31 = 33
33 + 32 = 42
42 + 33 = 69
69 + 34 = 150
150 + 3 5 = 393
700. Ans d)
The pattern is as follows:
8 + 18 x 1 = 26
26 + 18 x 2 = 62
62 + 18 x 3 = 116
704. Ans b)
705. Ans e)
706. Ans d)
707. Ans b)
The pattern is as follows:
123 - 1 = 1727
113 - 2 = 1329
103 - 3 = 997
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
294
@Crossword2022
93 - 4 = 725
83 - 5 = 507
73 - 6 = 337
708. Ans b)
205 ×5 + 5 = 1030
1030 × 6 + 5 = 6185
717. Ans d)
718. Ans b)
The logic in the series is as follows:
3.5*2 = 7
7*3 = 21
21*4 = 84
84*5 = 420
420*6 = 2520
719. Ans b)
The logic in the series is as follows:
(7 - 1)*1 = 6
(6 - 1)*2 = 10
(10 - 1)*4 = 36
(36 - 1)*8 = 280
(280 - 1)*16 = 4464
720. Ans c)
The logic in the series is as follows:
(13 + 1)*0.5 = 7
(7 + 1)*1 = 8
(8 + 1)*1.5 = 13.5
(13.5 + 1)*2 = 29
(29 + 1)*2.5 = 75
721. Ans a)
The logic in the series is as follows:
709. Ans d)
The pattern is - 15 x 0.5 + 0.5 = 8
8x1+1=9
9x1.5 + 1.5 = 15
15x2 + 2 = 32
32 x 2.5 + 2.5 = 82.5
710. Ans d)
The pattern is ×6, ×5, ×4, ×3, x2,….
? = 6 0 0 x 3 = 1800
711. Ans b)
The Pattern is : × 0.5 -1, × 0.5-1, × 0.5-1, ×0.5-1
? = 26 × 0.5 – 1 = 12
712. Ans a)
The Pattern is : +8. – 16, +24, -32, +40
? 104 + 8= 112
713. Ans b)
714. Ans b)
Or,
500 - 15 = 485
485 - 15 - 8 = 462
462 - 15 - 8 - 9 = 430
430 - 15 - 8 - 9 - 10 = 388
388 - 15 - 8 - 9 - 10 - 11 = 335
722. Ans c)
11 X 2 = 22
22x3 = 66
715. Ans d)
12 × 0.5 + 0.5 = 6.5
6.5 × 1 + 1 = 7.5
12.75 × 2 + 2 = 27.5
27.5 × 2.5 + 2.5 = 71.25
716. Ans b)
5×2×5=15
15 × 3 + 5 = 50
50 × 4 + 5 = 205l
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
295
@Crossword2022
66 x 5 = 330
330 x 7 = 2310
2310 x 11 = 25410
723. Ans c)
32 x 2 = 64
64 x 2.25 = 144
144 x 2.5 = 360
360 x 2.75 = 990
990 x 3.0 = 2970
729. Ans c)
The pattern is as follows:
5760 ÷ 6 = 960
960 ÷ 5 = 192
192 ÷ 4 = 48
48 ÷ 3 = 16
16 ÷ 2 = 8
730. Ans b)
The pattern adds alternate prime numbers to
the previous term:
53 + 3 = 56
56 + 7 = 63
63 + 13 = 76
76 + 19 = 95
95 + 29 = 124
731. Ans b)
The pattern is as follows:
1260/4= 315
315/3.5 = 90
90/3 = 30
30/2.5 = 12
12/2= 6
6/1.5= 4
4/1=4
4/0.5 = 8
732. Ans b)
24 + 11 = 35
35 + 22 = 57
57 + 33 = 90
90 + 44 = 134
134 + 55 = 189
733. Ans e)
2*1+1=3
3*2+1=7
7 * 3 + 1 = 22
22 * 4 + 1 = 89
724. Ans b)
The difference in this series is 80, 80/2
= 40, 40/2 = 20, 20/2
= 10 and 10/2 = 5:
158 - 80= 78 (Missing term)
78 - 40 = 38
38 - 20 = 18
18 - 10 = 8
8-5=3
725. Ans e)
The pattern adds alternate prime numbers to
the previous term:
19 + 3 = 22
22 + 7 = 29
29 + 13 = 42
42 + 19 = 61
61 + 29 = 90
726. Ans a)
The pattern is as follows:
152 + 4 = 229
142 + 3 = 199
132 + 2 = 171
122 + 1 = 145
112 + 0 = 121
102 + (-1) = 99
727. Ans a)
The pattern adds alternate prime numbers to
the previous term:
29 + 2 = 31
31 + 5 = 36
36 + 11 = 47
47 + 17 = 64
64 + 23 = 87
728. Ans c)
The series is as follows:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
296
@Crossword2022
89 * 5 + 1 = 446
446 * 6 + 1 = 2677
Hence, missing term = 22
734. Ans d)
+ (13×1), + (13×2), + (13×4), + (13×8)
=410
741. Ans b)
The logic in the series is as follows:
10*1 - 3 = 7
7*3 - 5 = 16
16*5 - 7 = 73
73*7 - 9 = 502
502*9 - 11 = 4507
742. Ans e)
The logic in the series is as follows:
129 + 14*1 = 143
143 - 14*2 = 115
115 + 14*4 = 171
171 - 14*8 = 59
59 + 14*16 = 283
743. Ans e)
The logic in the series is:
Next term
= (Previous term ÷ n) + n 2 [n > 0]
(153 ÷ 1) + 1 2 = 154
(154 ÷ 2) + 22 = 81
(81 ÷ 3) + 3 2 = 36
(36 ÷ 4) + 4 2 = 25
(25 ÷ 5) + 5 2 = 30
(30 ÷ 6) + 6 2 = 41
744. Ans c)
4 + 20 = 24
24 + 20 + 18 = 62
62 + 20 + 18 - 12 = 88
88 + 20 + 18 - 12 + 18 = 132
132 + 20 + 18 - 12 + 18 - 12 = 164
Hence, 164 will be the missing term.
745. Ans b)
59.76- 1.1 = 58.66
58.66 - 2.2 = 56.46
56.46 - 4.4 = 52.06
52.06 - 8.8 = 43.26
43.26- 17.6 = 25.66
Hence, the question mark should be replaced
by 43.26.
746. Ans d)
36 + 121 = 157
735. Ans b)
736. Ans a)
737. Ans a)
738. Ans b)
145 + 11= 156
156-13 = 143
143 + 15 = 158
? = 158 —17 = 141
141 + 19= 160
739. Ans a)
? = 84X 7 = 588
588 ÷ 6 = 98
98 × 5 = 490
490 ÷ 4 = 122.5
122.5 × 3 = 367.5
740. Ans b)
The given series is
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
297
@Crossword2022
157 + 144 = 301
301 + 169 = 470
666 + 196 = 666
666 + 225 = 891
Hence, the question mark should be replaced
by 666.
747. Ans b)
Here,
27 = 33 1
25 = 53
343 = 73
1331 = ll3
2197 = 133
4913 = 173
Hence, the question mark should be replaced
by2197
748. Ans b)
Here, the pattern followed is
220+(63-6)=430
430+(73-7)=766
766+(83-8)= 1270
1270+(93-9)=1990
1990+(103-10)=2980
749. Ans c)
102-3 = 99
99 + 5= 104
104-7 = 97
97 + 9= 106
106-11 = 95
Hence, the question mark should be replaced
by 95.
750. Ans c)
6×1+1=7
7 × 2 + 2 = 16
16 × 3 + 3 = 51
51 × 4 +4 = 208
208 × 5 + 5 = 1045
1045 × 6 + 6 = 6276
Hence, the question mark should be replaced by
1045.
751. Ans d)
Pattern is (23 - 4), (33-6), (43 - 8), (53 - 10),
Hence,
? = 73- 14 = 329
752.(b)
Pattern is +
2 4 6
, ,
3 3 3
Hence , ? =
31 12 43
 
3 3 3
753. Ans c)
Series is +4, +6, +8, +10, +12
Hence, ? = (22 + 10) = 31
754. Ans b)
Pattern is ×2-1, ×3+1, ×4-1,
×5+1, ×6-1
? = 1636×6-1 = 9815
755. Ans c)
Pattern is 23, +32, +43, +52, +63
Hence required Number ?
= 15 + 32 = 24
756. Ans c)
757.(b)
758. Ans d)
759. Ans b)
760. Ans e)
761. Ans c)
+ 6, +11, + 16, +21, +26
63 + 26 = 89
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
298
@Crossword2022
2857– (93 – 1) = 2129
2129– (73 – 1) = 1787
1787– (53 – 1) = 1663
762. Ans a)
? = 1663 – (33 – 1) = 1637
770. Ans e)
Pattern of series
27 ÷ 1 = 27
27 × 2 = 54
54 ÷ 3 = 18
18 × 4 = 72
? = 72 ÷ 5 = 14.4
771. Ans a)
Pattern of series 24 + (113 −1) = 1354
1354 + (93 −2) = 2081
2081 + (73 – 3) = 2421
? = 2421 + (53 −4) = 2542
2542 + (33 − 5) = 2564
772. Ans b)
Pattern of series 56 ÷ 7 = 8
8 × 6 = 48
48 ÷ 5 = 9.6
? = 9.6 × 4 = 38.4
38.4 ÷ 3 = 12.8
773. Ans b)
Pattern of series –
16 × 16 = 256
256 × 8 = 2048
2048 × 4 = 8192
8192 × 2 = 16384
? = 16384 × 1 = 16384
774. Ans c)
Pattern of series 96 × 0.5 + 4 = 52
52 × 1.5 + 6 = 84
84 × 2.5 + 8 = 218
218 × 3.5 + 10 = 773
? = 773 × 4.5 + 12 = 3490.5
775. Ans a)
Pattern of series –
(123 −1) = 1727
763 (d)
764.(d)
765. Ans e)
766. Ans c)
Pattern of series
12 × 0.5 + 1 = 7
7 × 1 + 1.5 = 8.5
8.5 × 1.5 + 2 = 14.75
? = 14.75 × 2 + 2.5 = 32
32 × 2.5 + 3 = 83
767. Ans a)
12 × 6 + 6 = 78
78 × 5 + 5 = 395
395 × 4 + 4 = 1584
1584 × 3 + 3 = 4755
? = 4755 × 2 + 2 = 9512
768. Ans e)
26 × 2 + 1 = 53
53 × 4 + 2 = 214
214 × 6 + 3 = 1287
1287 × 8 + 4 = 10300
? = 10300 × 10 + 5 = 103005
769. Ans d)
Pattern of series —
4187 – (113 – 1) = 2857
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
299
@Crossword2022
783. Ans. b)
The pattern is as follows:
122 + 10 = 154
112 + 9 = 130
102 + 8 = 108
92 + 7 = 88
82 + 6 = 70
72 + 5 = 54
784. Ans. a)
The pattern 9 being multipled by
consecutive prime numbers:
9 x 2 = 18
9 x 3 = 27
9 x 5 = 45
9 x 7 = 63
9 x 11 = 99
9 x 13 = 117
785.Ans.d)
(103 – 2) = 998
(83 – 3) = 509
(63 – 4) = 212
? = (43 – 5) = 59
(23 −6) = 2
776. Ans b)
777. Ans a)
778. Ans c)
779. Ans d)
786. Ans. d)
Pattern is
780. Ans a)
y = 631 + 86 = 717
787. Ans. b)
781. Ans c)
4096 ÷ 4 = 1024, 1024 ÷ 4 = 256
256 ÷ 4 = 64, 64 ÷ 4 = 16
16 ÷ 4 = 4
782. Ans b)
The pattern is as follows:
4 x 5 + 4 = 24
5 x 6 + 5 = 35
6 x 7 + 6 = 48
7 x 8 + 7 = 63
8 x 9 + 8 = 80
9 x 10 + 9 = 99
788. Ans. a)
789. Ans. b)
y = 600 – 157 = 443
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
300
@Crossword2022
790. Ans b)
The logic in the series is as follows:
2×6 - 2 = 10
10×5 - 2 = 48
48×4 - 2 = 190
190×3 - 2 = 568
568×2 - 2 = 1134
791. Ans. a)
798. Ans d)
4× 0.5 = 2,
2× 1 = 2,
2× 1.5 = 3,
3× 2 = 6,
6× 2.5 = 15
Therefore
?= 12× 2.5 = 30
799. Ans a)
12+16 =28,
28+ 23=51,
51+ 30=81,
81+ 37=118,
118+ 44= 162
(23-16=30-23=37-30=44-37=7)
Therefore
22+16 =38
800. Ans b)
792. Ans. c)
y = 240×3+24 = 744
793. Ans b)
The logic in the series is as follows:
117.5 - 0.5 = 117
117 + 2 = 119
119 - 8 = 111
111 + 32 = 143
143 - 128 = 15
794. Ans. e)
1.5×2+2 = 5,
5× 3+3 = 18,
18×4+4 = 76,
76×5+5 = 385,
385×6+6 = 2316
Therefore
?= 8×3+ 3= 27
801. Ans e)
18 × 2 − 4 = 32
795. Ans. e)
32 × 3 − 6 = 90
90 × 4 − 8 = 352
352 × 5 − 10 = 1750
796. Ans. a)
1750 × 6 − 12 = 10488
Second series −
P × 2 − 4 = (2P − 4)
(2P − 4) × 3 − 6 = 30
6P = 48
P=8
y = 132 + 243 + 336 = 711
797. Ans.b)
30 × 4 − 8 = 112
112 × 5 − 10 = 550
Q = 550 × 6 − 12 = 3288
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
301
@Crossword2022
806. Ans d)
802. Ans d)
(n2 + 2), (n + 2)2 + 2, (n+4)2 + 2, (n2+6) + 2…
291 = (172 + 2)
363 = (192 + 2)
443 = (212 + 2)
531 = ( 232 + 2)
Second series
627 = (252 + 2)
803. Ans b)
807. Ans. e)
125 – 32 = 116
116 + 2 = 118
118 – 52 = 93
93 + 4 = 97
97 – 72 = 48
48 + 6 = 54
So, 93 will come in place of 91, and 54 will
come in the place of (?).
808. Ans c)
Series I follow the pattern as:
(II)
(A) = 105 + 55 = 160
(B) = 160 + 85 =245
390 = 245 + 145
655 = 390 + 265
(C) = 655 +505 = 1160
804. Ans b)
1.5 × 2 + 3 = 6
6 × 3 + 4 = 22
22 × 4 + 5 = 93
93 × 5 + 6 = 471
471 × 6 + 7 = 2833
So, second series will be,
2.5 × 2 + 3 = 8
8 × 3 + 4 = 28
28 × 4 + 5 = 117
117 × 5 + 6 = 591
591 × 6 + 7 = 3553
So, x = 3553
805. Ans a)
6 × 0.5 = 3
3×1=3
3 × 1.5 = 4.5
4.5 × 2 = 9
9 × 2.5 = 22.5
22.5 × 3 = 67.5
67.5 × 3.5 = 236.25
236.25 × 4 = 945
945 × 4.5 = 4252.5
Here, T₁₀ = 4252.5
∴ p = 10
So, x = 1256
Series II follow the pattern as:
1256 – 12 × 16 = 1064
1064 – 12 × 8 = 968
968 – 12 × 4 = 920
920 – 12 × 2 = 896
896 – 12 × 1 = 884
So, y = 1256
Series III follow the pattern as:
41 × 0.5 + 0.5 = 21
21 × 1.5 + 1.5 = 33
33 × 2.5 + 2.5 = 85
85 × 3.5 + 3.5 = 301
301 × 4.5 + 4.5 = 1359
So, z = 1359
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
302
@Crossword2022
Therefore, x = y < z.
809. Ans b)
Series I follow the pattern as:
878 + 33 = 905
905 – 43 = 841
841 + 53 = 966
966 – 63 = 750
750 + 73 = 1093
So, x = 750
Series II follow the pattern as:
So, z = 216
Therefore, x = y > z
811. Ans c)
Series I follow the pattern as:
180 + 17 = 197
197 – 19 = 178
178 + 23 = 201
201 – 29 = 172
172 + 31 = 203
So, x = 172
Series II follow the pattern as:
136 + 62 = 172
172 + 72 = 221
221 + 82 = 285
285 + 92 = 366
366 + 102 = 466
So, y = 172
Series III follow the pattern as:
49 × 0.5 + 0.5 = 25
25 × 1.5 + 1.5 = 39
39 × 2.5 + 2.5 = 100
100 × 3.5 + 3.5 = 353.5
353.5 × 4.5 + 4.5 = 1595.25
So, z = 353.5
Therefore, x = y < z
812. Ans c)
Quantity I:
(15 + 5) × 1 = 20
(20 + 10) × 2 = 60
(60 + 15) × 3 = 225
(225 + 20) × 4 = 980
(980 + 25) × 5 = 5025
Quantity II:
5 × 2 + 5 = 15
15 × 2 + 15 = 45
45 × 2 + 45 = 135
135 × 2 + 135 = 405
405 × 2 + 405 = 1215
So, y = 750
Series follow the pattern as:
124 + 282 = 908
908 – 262 = 232
232 + 242 = 808
808 – 222 = 324
324 + 202 = 724
So, z = 724
Therefore, x = y > z.
810. Ans b)
Series I follow the pattern as:
So, x = 220
Series II follow the pattern as:
So, y = 220
Series III:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
303
@Crossword2022
Quantity III:
28 + 12 = 40
40 + 24 = 64
64 + 36 = 100
100 + 48 = 148
148 + 60 = 208
813. Ans b)
In the above series, all the numbers given are
the consecutive prime numbers starting from
400 and 19 is added to all of them.
401 + 19 = 420
409 + 19 = 428
419 + 19 = 438
421 + 19 = 440
431 + 19 = 450
∴ Next number in the series will be 433 + 19
= 452
814. Ans a)
The logic in this series is the difference :
350 - (13 + 1) = 348
348 - (23 + 1) = 339
339 - (33 + 1) = 311
311 - (43 + 1) = 246
246 - (53 + 1) = 120
Hence, the missing term will be 120.
815. Ans. d)
Series is × 3 –1, × 3–1, ×3–1,…..
 Wrong term = 125
816. Ans. b)
Series is × 2+1, × 2+2, × 2+3, × 2+4…..
 Wrong term =42 × 2 +5
= 89  91
92 + 1 = 82
 Wrong term = 64
819. Ans. a)
Series is  4, × 2,  4, × 2, ………..
 Wrong term = 6
820. Ans. c)
Pattern is
+9, +11, +15, +21, +29
∴ wrong term = 37 +21 = 58 ≠ 57
821. Ans. b)
Pattern is ×2.4, ×2.4, ×2.4, ×2.4
∴ wrong term
= 14.824 ≠ 5.76 × 2.4 = 13.824
822. Ans.a)
823. Ans. b)
Pattern is ÷2, ×2.5, ÷2, ×2.5, ÷ 2,…..
∴ wrong term = 13.5 ≠ 5 × 2.5 = 12.5
824. Ans. c)
Series is 16², 20², 24², 28², 32², ….
∴ wrong term = 788 ≠ 28²
825. Ans. c)
Series is +5, +15, +25, +35, +45
∴ wrong term = 84.7
826. Ans. c)
817. Ans. c)
Series is 7, – 9, + 11, – 13 ,+ 15
 Wrong term = 35
818. Ans. e)
Series is 32 + 1 = 10
42 + 1 = 17
52 + 1 = 26
62 + 1 = 37
72 + 1 = 50
82 + 1 =
827. Ans.a)
Series is ×0.5, ×1, ×2, ×4, ×8, ×16
∴ Required term = 8 × 8 = 64 ≠ 32
828. Ans. b)
Series is 13² - 1, 17² - 1, 19² - 1, 23²- 1, 31² - 1
∴ wrong term = 841
829. Ans. c)
Series is ×10, ÷ 8, ×6, ÷ 4, ×2
∴ Wrong term = 28
65
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
304
@Crossword2022
∴ Wrong term = 4216 ≠ 685 × 6 + 6
= 4116
838. Ans. d)
Series is 322 − 4 = 1024 − 4 = 1020
342 − 4 = 1156 − 4 = 1152
362 − 4 = 1296 − 4 = 1292
382 − 4 = 1444 − 4 = 1440
402 − 4 = 1600 − 4 = 1596
422 − 4 = 1764 − 4 = 1760
839. Ans. e)
Pattern is × 0.5, × 1.5, × 3.5, × 6.5, × 10.5
∴ Wrong term = 82.9 ≠ 12.6 × 6.5 = 81.9
840. Ans. d)
The series is × 2 + 1,× 1 + 2 alternately
841. Ans.a)
The series is ÷ 3 − 7,÷ 3 − 6,÷3 - 5, …..
842. Ans. e)
The series is × 1.5,× 2,× 2.5 ,× 3, …..
843 Ans. b)
The series is – 23, + 19, -15, + 11, -7, + 3, ….
844. Ans. d)
x2 – 1, x4 – 3, x6 – 5, x8 – 7, x10 – 9 ….
49 × 6 – 5 = 294 – 5 = 289
845. Ans. d)
The pattern in the series will be
830. Ans.a)
Clearly replace 35 → 37
831. Ans. e)
6 × 2 + 2 = 14
Replace 12 with 14
832. Ans. b)
102 + 125 = 227
Replace 229 → 227
833. Ans. c)
834. Ans.a)
∴ Wrong term is 196
846. Ans c)
The logic in this series is the multiplication
of consecutive odd numbers to the
previous number to get next number:
9 * 1 = 9 (Not 10)
9 * 3 = 27
27 * 5 = 135
135 * 7 = 945
945 * 9 = 8505
8505 * 11 = 93555
847. Ans b)
In this series, from each term consecutive
numbers are subtracted to get the next
number. Hence, the logic in this series is as
follows:
Replace 65 → 70
835. Ans. b)
The pattern is +43 , +63 , +83 , +103 , +123 , …
∴ Wrong term = 1813 ≠ 803 + 1000
= 1803
836. Ans. c)
Series is
837. Ans. d)
Pattern is
×1+1, ×2+2, ×3+3, ×4+4, ×5+5, ×6+6
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
305
@Crossword2022
15 + (22 - 0) = 37
37 + 21 = 58
58 + 20 = 78
78 + 19 = 97 (Not 96)
97 + 18 = 115 = 115 + 17 = 132
848. Ans c)
154 + (1 3 + 1) = 156
156 - (23 + 1) = 147
147 + (3 3 + 1) = 175
175 - (43 + 1) = 110 (Not 100)
110 + (5 3 + 1) = 236
236 - (63 + 1) = 19
849. Ans c)
The logic in the series follows difference of
difference method:
200 × 5 + 10 = 1010
1010 × 6 + 12 = 6072
1010 should be place of 1008
852. Ans. b)
Wrong number = 24
The pattern of series × 6 – 6, × 5 – 5, × 4 – 4, × 3 – 3, × 2 - 2
25 should be place of 24
853. Ans.a)
Wrong number = 8
The pattern of series -
10 should be place of 8
854. Ans. c)
Wrong number = 96
Pattern of series 4 × 2 + 2 = 10
10 × 2 + 2 = 22
22× 2 + 2 = 46
46× 2 + 2 = 94
94 × 2 +2 = 190
190 × 2 + 2 =382
94 should be place of 96
855. Ans. d)
Series is
Hence, the wrong of the series will be 20.
Or,
11 + 3 * 2 = 17 (not 20)
17 + (3+2) * 2 = 27
27 + (3+2+4) * 2 = 45
45 + (3+2+4+6) * 2 = 75
75 + (3+2+4+6+8) * 2 = 121
121 + (3+2+4+6+8+10) * 2 = 187
850. Ans. d)
Logic for the given series:
3*1+1=4
4*2+1=9
9 * 3 + 1 = 28
28 * 4 + 1 = 113
113 * 5 + 1 = 566
566 * 6 + 1 = 3397
So, wrong term
= 544
851. Ans. b)
Wrong number = 1008
The pattern of series 3 ×1 + 2 = 5
5 × 2 + 4 = 14
14 × 3 + 6 = 48
48 × 4 + 8 = 200
856. Ans. b)
Patern is × 2 + 1, × 2 – 1, × 2 + 2, × 2 – 2,
× 2 + 3, × 2 – 3 …
∴ ? = 36 × 2 – 2= 70
857. Ans. c)
Series is 5³ – 2 = 125 – 2 = 123
7³ – 3 = 343 – 3 = 340
9³ – 5 = 729 – 5 = 724
11³ – 7 = 1331 – 7 = 1324
13³ – 11 = 2197 – 11 = 2186
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
306
@Crossword2022
858. Ans.a)
Pattern is × 4 – 4, × 4 – 9, × 4 – 16, × 4 – 25,
∴ ? = 23 × 4 – 36 = 56
859. Ans. e)
Pattern is +13×1, +13×3, +13×5, +13×7, 13×9
∴ ? = 181 + 13 × 5 = 246
860. Ans a)
861. Ans c)
862. Ans b)
863. Ans e)
864. Ans c)
549+17×1 = 566
566 + 17 ×2 = 600, not 601
600 +17 ×3 651
651 +17 × = 719
865. Ans. b)
866. Ans. c)
867. Ans.a)
868. Ans. d)
869. Ans. c)
870. Ans c)
The pattern is as follows:
105 + 42 = 121
121 + 53 = 246
246 + 62 = 282
282 + 73 = 625
625 + 82 = 689
871. Ans a)
The pattern is as follows:
16 x 3 = 48
15 x 4 = 60
14 x 5 = 70
13 x 6 = 78
12 x 7 = 84
11 x 8 = 88
872. Ans d)
The pattern is as follows:
3840 x 3/2 = 5760
5760 x 5/2 = 14400
14400 x 7/2 = 50400
50400 x 9/2 = 226800
873. Ans e)
The pattern is as follows:
64 + 92 = 145
145 + 112 = 266
266 + 132 = 435
435 + 152 = 660
660 + 172 = 949
874. Ans d)
The pattern is as follows:
36 + 3 x 1 = 39
39 + 3 x 3 = 48
48 + 3 x 5 = 63
63 + 3 x 7 = 84
84 + 3 x 9 = 111
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
307
@Crossword2022
875. Ans b)
4×1+1=5
5 × 2 + 1 = 11
11 × 3 + 1 = 34
34 × 4 + 1 = 137
137 × 5 + 1 = 686
Therefore, 137 should come in place of 135
876. Ans d)
80 × 5 = 400
400 ÷ 4 = 100
100 × 5 = 500
500 ÷ 4 = 125
125 × 5 = 625
Therefore, 500 should come in place of 450
877. Ans c)
12 + 1! = 13
13 + 2! = 15
15 + 3! = 21
21 + 4! = 45
45 + 5! = 165
Therefore, 21 should come in place of 23
878. Ans a)
5 + 54 = 630
630 + 43 = 694
694 + 32 = 703
703 + 21 = = 705
705 + 10 = 706
Therefore, 694 should come in place of 696
879. Ans e)
24 + 12 = 36
36 + 24 = 60
60 + 48 = 108
108 + 96 = 204
204 + 192 = 396
Therefore, 396 should come in place of 404
880. Ans c)
42 + 3 = 45
45 – 12 = 33
33 + 21 = 54
54 – 30 = 24
24 + 39 = 63
So, 45 will come in the place of 48.
881. Ans b)
9 + 32 = 18
18 + 52 = 43
43 + 72 = 92
92 + 92 = 173
173 + 112 = 294
So, 173 will come in the place of 175.
882. Ans d)
6 × 3 – 1 = 17
17 × 3 – 1 = 50
50 × 3 – 1 = 149
149 × 3 – 1 = 446
446 × 3 – 1 = 1337
So, 17 will come in the place of 15.
883. Ans a)
158 ÷ 2 – 1 = 78
78 ÷ 2 – 1 = 38
38 ÷ 2 – 1 = 18
18 ÷ 2 – 1 = 8
8÷2–1=3
So, 3 will come in the place of 5.
884. Ans c)
32 × 0.5 = 16
16 × 1.5 = 24
24 × 2.5 = 60
60 × 3.5 = 210
210 × 4.5 = 945
So, 16 will come in the place of 12.
885. Ans b)
886. Ans a)
887. Ans e)
888. Ans d)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
308
@Crossword2022
889. Ans d)
895. Ans d)
896. Ans d)
890. Ans a)
Wrong number = 1990
3×1+5= 8
8 × 2 + 10 = 26
26 × 3 + 15 = 93
93 × 4 + 20 = 392
392 × 5 + 25 = 1985
1985 × 6 + 6 = 11940
891. Ans e)
Wrong number = 10648
1729 = 123 + 1
2745 = 143 +1
4097 = 163 + 1
5833 = 183 + 1
8001 = 203 + 1
10649 = 223 +1
13825 = 243 +1
892 Ans b)
897. Ans b)
898 Ans c)
899. Ans d)
900. Ans c)
Wrong number = 86
13 × 7 − 7 = 84
901. Ans e)
84 × 6 − 6 = 498
498 × 5 − 5 = 2485
2485 × 4 − 4 = 9936
902. Ans a)
9936 × 3 − 3 = 29805
29805 × 2 − 2 = 59608
893. Ans e)
903. Ans d)
894. Ans b)
904. Ans c)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
309
@Crossword2022
905. Ans e)
Series is
6×2–(2)²=8
8×3+(3)²=33
33×4–(4)²=116
116×5+(5)²= 605
605×6–(6)²=3594
3594×7+(7)²=25207
So, 604 is wrong number
906. Ans b)
911. Ans b)
25+(2² + 2)=31
31+(3² + 3)=43
43 +(4² + 4)=63,
63 +(5² + 5)=93,
93 +(6² + 6)=135
So, wrong number is — 44
912. Ans e)
15+(13×1-1)=27
27+(13×2-2)=51
51+(13×3-3)=87
87+(13×4-4)=135
135+(13×5-5)=195
Wrong number is 196
913. Ans a)
47+32 =56
56+52 =81
81+72 =130
130+92 =211
211+112 =332
Wrong number is 57
914. Ans b)
92 + 17 = 109
109 – 37 = 72
72 + 57 = 129
129 – 77 = 52
52 + 97 = 149
Therefore, 52 should come in place of 62.
915. Ans d)
125 + 30 = 155
155 + 60 = 215
215 + 90 = 305
305 + 120 = 425
425 + 150 = 575
Therefore, 575 should come in place of 555.
916. Ans e)
The series follows the sum of consecutive
prime numbers.
102 + 13 = 115
115 + 17 = 132
132 + 19 = 151
151 + 23 = 174
174 + 29 = 203
Therefore, series is correct.
907. Ans d)
908. Ans a)
Series is
–4×(–3)=12
12×(–2.5)= – 30
–30×(–2)=60
60×(–1.5)=–90
–90×(–1)=90
90×0=0
So, –36 is wrong number
909. Ans e)
So, Wrong number is — 332
Right number should be = 246 + 85 = 331
910. Ans c)
18×4=72,
72 ÷2=36,
36 ×4=144,
144 ÷2=72
72 ×4=288
So wrong number is — 150
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
310
@Crossword2022
917. Ans a)
74 – 22 = 70
70 + 32 = 79
79 – 42 = 63
63 + 52 = 88
88 – 62 = 52
Therefore, 79 should come in place of 81.
918. Ans d)
120 + 20 = 140
140 + 40 = 180
180 + 60 = 240
240 + 80 = 320
320 + 100 = 420
Therefore, 240 should come in place of 220.
919. Ans b)
124 + 122 = 268
268 + 132 = 437
437 + 142 = 633
633 + 152 = 858
858 + 162 = 1114
So, 633 should come in place of 635
920. Ans b)
142 + 37 = 179
179 – 41 = 138
138 + 43 = 181
181 – 47 = 134
134 + 53 = 187
So, 134 should come in place of 136.
921. Ans b)
172 + 4 × 5 = 192
192 + 5 × 6 = 222
222 + 6 × 7 = 264
264 + 7 × 8 = 320
320 + 8 × 9 = 392
So, 264 should come in place of 254.
922. Ans a)
121 + 27 × 1 = 148
148 + 27 × 2 = 202
202 + 27 × 3 = 283
283 + 27 × 4 = 391
391 + 27 × 5 = 526
So, 283 should come in place of 285.
923. Ans e)
112 × 0.5 = 56
56 × 1.5 = 84
84 × 2.5 = 210
210 × 3.5 = 735
735 × 4.5 = 3307.5
So, 3307.5 should come in place of 2940.
924. Ans e)
The pattern is as follows:
17 x 3 - 32 = 42
42 x 4 - 42 = 152
152 x 5 - 52 = 735
735 x 6 - 62 = 4374
4374 x 7 - 72 = 30569
925. Ans d)
The pattern is as follows:
32 x 2.5 = 80
80 x 2.5 = 200
200 x 2.5 = 500
500 x 2.5 = 1250
1250 x 2.5 = 3125
926. Ans e)
The pattern is as follows:
80 + 12 = 81
81 + 43 = 145
145 + 72 = 194
194 + 103 = 1194
1194 + 132 = 1363
927. Ans a)
The pattern is as follows:
15 x 3 = 45
14 x 4 = 56
13 x 5 = 65
12 x 6 = 72
11 x 7 = 77
10 x 8 = 80
928. Ans a)
The pattern is as follows:
2240 x 3/2 = 3360
3360 x 5/2 = 8400
8400 x 7/2 = 29400
29400 x 9/2 = 132300
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
311
@Crossword2022
929. Ans b)
The pattern is as follows:
15 x 5 + 1 = 76
76 x 5 + 2 = 382
382 x 5 + 3 = 1913
1913 x 5 + 4 = 9569
9569 x 5 + 5 = 47850
930. Ans a)
The pattern is as follows:
152 + 1 = 226
182 + 7 = 331
212 + 13 = 454
242 + 19 = 595
272 + 25 = 754
302 + 31 = 931
931. Ans c)
The pattern is as follows:
5 x 7 = 35
12 x 14 = 168
19 x 21 = 399
26 x 28 = 728
33 x 35 = 1155
40 x 42 = 1680
932. Ans a)
The pattern is as follows:
5 + (22 - 2) = 7
7 + (32 - 2) = 14
14 + (42 - 2) = 28
28 + (52 - 2) = 51
51 + (62 - 2) = 85
933. Ans c)
The pattern is as follows:
23 + 8 = 16
33 + 8 = 35
43 + 8 = 72
53 + 8 = 133
63 + 8 = 224
73 + 8 = 351
934. Ans d)
Logic in the series:
12 + 1 = 13 (Not 14)
13 + 11 = 24
24 + 111 = 135
135 + 1111 = 1246
1246 + 11111 = 12357
Hence, wrong term = 14
935. Ans a)
Logic for the given series (successive prime
numbers in decreasing order are
subtracted):
257 - 67 = 190
190 - 61 = 129
129 - 59 = 70
70 - 53 = 17
17 - 47 = -30
-30 - 43 = -73
So, wrong term = 126
936. Ans c)
Given series is a combination of two series:
Series I:
17 + 13 = 30
30 + 15 = 45
45 + 17 = 62 (Not 64)
Serie II:
19 + 14 = 33
33 + 16 = 49
49 + 18 = 67
Hence, wrong term = 64
937. Ans b)
Logic in the series is:
-1 * 12 + 1 = 0
0 * 22 + 1 = 1
1 * 32 + 1 = 10
10 * 42 + 1 = 161 (Not 160)
161 * 52 + 1 = 4026
Hence, wrong term = 160
938. Ans d)
The pattern is as follows:
6 x 9 + 1 = 55
8 x 11 + 2 = 90
10 x 13 + 3 = 133
12 x 15 + 4 = 184
14 x 17 + 5 = 243
16 x 19 + 6 = 310
939. Ans e)
The pattern is as follows:
1596 - 22 + 1 = 1593
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
312
@Crossword2022
1593 - 32 + 1 = 1585
1585 - 42 + 1 = 1570
1570 - 52 + 1 = 1546
1546 - 62 + 1 = 1511
940. Ans b)
The pattern is as follows:
20 + 10 = 30
30 + 10 + 11 = 51
51 + 10 + 11 + 12 = 84
84 + 10 + 11 + 12 + 13 = 130
130 + 10 + 11 + 12 + 13 + 14 = 190
941. Ans d)
The pattern adds the number to product of a
prime number and the number following it:
25 + 3 x 4 = 37
37 + 5 x 6 = 67
67 + 7 x 8 = 123
123 + 11 x 12 = 255
255 + 13 x 14 = 437
942. Ans e)
945. Ans a)
946. Ans d)
947. Ans b)
948. Ans e)
949. Ans a)
950. Ans c)
943. Ans c)
951. Ans e)
944. Ans b)
952. Ans e)
Wrong number = 5.576
Pattern of series
140 ×0.2 = 28
11.2 × 0.6 = 6.72
6.72 × 0.8 = 5.376
5.376 × 1.0 = 5.376
5.576 should be replaced with 5.376
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
313
@Crossword2022
953. Ans a)
Wrong number = 88
11.6 + 38.4 = 50
69.2 + 9.6 = 78.8
78.8 + 4.8 = 83.6
83.6 + 2.4 = 86
88 should be replaced with 86
954 Ans d)
122 + 1 = 145
122 - 3 = 141
122 + 5 = 149
122 - 7 = 137
122 + 9 = 153
122 - 11 = 133
Therefore, 137 should come in the place of
138.
960. Ans d)
1×5=5
5 × 5 = 25
25 × 5 = 125
125 × 5 = 625
625 × 5 = 3125
Therefore, 625 should come in the place of
635.
961. Ans c)
5×1+1=6
6 × 2 + 2 = 14
14 × 3 + 3 = 45
45 × 4 + 4 = 184
184 × 5 + 5 = 925
Therefore, 45 should come in the place of 48.
962. Ans c)
Pattern followed is
7 × 0.5 + 0.5 = 4
4×1+1 =5
5 × 1.5 + 1.5 = 9
9 × 2 + 2 = 20
20 × 2.5. +2.5 = 52.5
52.5 × 3 + 3 = 160.5
So, wrong number is 8.5 which should be
replaced by 9
963. Ans d)
Pattern followed is
160+47=207
207+53=260
260+59=319
319+61=380
380+67=447
447+71=518
So wrong number is 449 which should be
replaced by 447
955. Ans e)
956. Ans a)
957. Ans d)
17 + 17 = 34
34 + 34 = 68
68 + 51 = 119
119 + 68 = 187
187 + 85 = 272
Therefore, 187 should come in the place of
186.
958. Ans a)
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
8÷2=4
Therefore, 64 should come in the place of 62.
959. Ans c)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
314
@Crossword2022
32 + 33 = 36
42 + 43 = 80
52 + 53 = 150
62 + 63 = 252
72 + 73 = 392
So, wrong number is 251
969. Ans c)
All numbers in the series are prime except 15.
So, wrong term is 15.
970. Ans a)
11 + 11 = 22
22 + 12 = 34
34 + 13 = 47
47 + 14 = 61
61 + 15 = 76
76 + 16 = 92
So, wrong term is 77
971. Ans a)
2×2+1=5
5 × 2 + 1 = 11
11 × 2 + 1 = 23
23 × 2 + 1 = 47
47 × 2 + 1 = 95
95 × 2 + 1 = 191
So, wrong term is 6.
972. Ans d)
964 Ans c)
Pattern followed is
12×0.5=6
6×1=6
6×2=12
12×3.5=42
42×5.5=231
231×8=1848
So wrong number is 36 which should be
replaced by 42
965 Ans e)
Pattern followed is
14700÷7=2100
2100×6=12600
12600÷5=2520
2520×4=10080
10080÷3=3360
3360×2=6720
So, wrong number is 2500 which should be
replaced by 2520
966 Ans c)
Pattern followed
(4.5)2=20.25
(4.8) 2=23.04
(5.1) 2=26.01
(5.4) 2=29.16
(5.7) 2=32.49
(6.06) 2=36.00
(6.3) 2=39.69
So, wrong number is 32.56 and it should be
replaced by 32.49
967 Ans d)
102+2=102
92+2=83
82+2=66
72+2=51
62+2=38
52+2=27
42+2=18
Hence, wrong term is 50.
968. Ans c)
12 + 13 = 2
22 + 23 = 12
973. Ans a)
974 Ans c)
975. Ans b )
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
315
@Crossword2022
5400 –(180×1)=5220
wrong number is 5200 which should be
replaced with 5220
981. Ans d)
Pattern is
100 + (4×5) =120
120 + (5×6) =150
150 + (6×7) =192
192 + (7×8) =248
248 + (8×9) =320
320 + (9×10) =410
wrong number is 154 which should be
replaced with 150
982. Ans e)
50 + 13 = 63
63 + 13+ 14 = 90
90 + 13+ 14+ 15 = 132
132 + 13+ 14+ 15+ 16 = 190
190 + 13+ 14+ 15+ 16+ 17 = 265
983. Ans e)
The pattern is as follows:
613 - 22 = 609
609 - 42 = 593
593 - 62 = 557
557 - 82 = 493
493 - 102 = 393
984. Ans d)
The pattern is as follows:
92 + 3 = 84
102 + 3 = 103
112 + 3 = 124
122 + 3 = 147
132 + 3 = 172
985. Ans d)
The pattern is as follows:
5 x 8 = 40
9 x 12 = 108
13 x 16 = 208
17 x 20 = 340
21 x 24 = 504
25 x 28 = 700
986. Ans e)
The pattern is as follows:
976. Ans d)
977. Ans b)
Pattern is
102+10=110
122+12=156
142+14=210
162+16=272
182+18=342
202+20=420
222+22=506
Wrong number is 282 which
Should be replaced with 272
978. Ans d)
Pattern is
2000×1=2000
2000÷2=1000
1000×3=3000
3000÷4=750
750×5=3750
3750÷6=625
Wrong number is 600 which
Should be replaced with 750
979. Ans a)
Pattern is
2 ×1+0=2
2 ×2+1=5
5 ×3+2=17
17×4+3=71
71 ×5+4=359
359×6+5=2159
wrong number is 72 which
should be replaced with 71
980. Ans e)
Pattern is
9000 –(180×6)=7920
7920 –(180×5)=7020
7020 –(180×4)=6300
6300 –(180×3)=5760
5760 –(180×2)=5400
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
316
@Crossword2022
4 + (22 - 1) = 7
7 + (32 - 1) = 15
15 + (42 - 1) = 30
30 + (52 - 1) = 54
54 + (62 - 1) = 89
987. Ans e)
988. Ans e)
Logic in the series is as follows:
31 * 0.5 + 0.5 = 16
16 * 1 + 1 = 17
17 * 1.5 + 1.5 = 27 (Not 29)
27 * 2 + 2 = 56
56 * 2.5 + 2.5 = 142.5
Hence, wrong term = 29
989. Ans a)
Logic in the series is:
3*2+1=7
7 * 3 + 2 = 23
23 * 4 + 3 = 95
95 * 5 + 4 = 479 (Not 475)
479 * 6 + 5 = 2879
Hence, 475 is a wrong term.
990. Ans d)
Logic in the series is:
1*5=5
5 * 7 = 35
35 * 11 = 385 (Not 305)
385 * 13 = 5005
5005 * 17 = 85085
Hence, wrong term = 305
991. Ans c)
12 + 53 = 137
137 - 62 = 101
101 + 7 3 = 444 (Not 440)
444 - 82 = 380
380 + 9 3 = 1109
Hence, wrong term
= 440
992. Ans e)
Wrong number = 3320
6 × 1 + 22 = 10
144 × 4 + 82 = 640
640 × 5 + 102 = 3300
3300 × 6 + 122 = 19944
Should be 3300 in the place of 3320.
993. Ans c)
Wrong number = 207
5 ×7=35
6 ×9=54
7× 11=77
8 ×13 = 104
9 ×15=135
10 ×17=170
11 ×19=209
Should be 209 in the place of 207.
994. Ans b)
The logic in the series is:
6 * 10 + 1 = 61
61 * 8 + 1 = 489 (Not 488)
489 * 6 + 1 = 2935
2935 * 4 + 1 = 11741
11741 * 2 + 1 = 23483
Hence, wrong term = 488
995. Ans b)
Wrong number = 408
Pattern of series 67 + 73 = 410
410 + 62 = 446
446 + 53 = 571
571 + 42 = 587
587 + 33 = 614
614 + 22 = 618
Should be 410 in the place of 408.
996. Ans d)
997. Ans c)
10 × 2 + 42 = 36
36 × 3 + 62 = 144
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
317
@Crossword2022
998. Ans d)
1003. Ans a)
Wrong number = 43
Pattern of series –
2 ×3-1=5
5 ×3-1= 14
14 ×3-1=41
1004. Ans c)
41 ×3-1=122
122 ×3-1=365
365 ×3-1=1094
So, 41 should come in the place of 43.
999. Ans a)
1005. Ans e)
Wrong number = 19125
Pattern of series –
5 ×4-1= 19
19 ×4-1=75
1000. Ans d)
75 ×4-1=299
299 ×4-1=1195
1195 ×4-1=4779
4779 ×4-1=19115
So, should be 19115 in the place of 19125
1001. Ans d)
1006. Ans a)
Wrong number = 848 Partem of series is,
3 X 3 + 1 = 10
10X3 + 1 = 31
31 x 3 + 1 = 94
94 X 3 + 1 = 283
1007. Ans e)
283X 3 + 1 = 850
850X 3 + 1 = 2551
So, 850 should be in the place of 848
1002. Ans b)
Wrong number = 4055
Pattern of series -
1008. Ans a)
8 x 16 - 1 = 127
127 X8 - 1 = 1015
1009. Ans b)
1015 x 4- 1 = 4059
4059 X 2 - 1 = 8117
8117 X 1 - 1 = 8116
8116 X 0.5 - 1 = 4057
So, 4057 should be in the place of 4055
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
318
@Crossword2022
1010. Ans a)
27 + 22 + 3 = 34
34 + 23 + 3 = 45
45 + 24 + 3 = 64
64 + 25 + 3 = 99
1018. Ans b)
1011. Ans d)
1012. Ans c)
1019. Ans d)
1013. Ans a)
From the 3rd number, each successive term
is average of previous 2 terms:
(82 + 50)/2 = 66
(50 + 66)/2 = 58
(66 + 58)/2 = 62
(58 + 62)/2 = 60
1014. Ans c)
The pattern adds the number to product of a
prime number and the number following it:
44 + 5 x 6 = 74
74 + 7 x 8 = 130
130 + 11 x 12 = 262
262 + 13 x 14 = 444
444 + 17 x 18 = 750
1015. Ans a)
The pattern is as follows:
52 + 6 = 31
62 + 7 = 43
72 + 8 = 57
82 + 9 = 73
92 + 10 = 91
1016. Ans d)
The pattern is as follows:
224 x 0.5 = 112
112 x 1.0 = 112
112 x 1.5 = 168
168 x 2.0 = 336
336 x 2.5 = 840
1017. Ans d)
The pattern is as follows:
18 + 20 + 3 = 22
22 + 21 + 3 = 27
1020 Ans a)
1021 Ans c)
1022. Ans d)
1023. Ans e)
1024. Ans a)
1025. Ans e)
1026. Ans a)
The logic in the series is:
2*1-1=1
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
319
@Crossword2022
1*2+2=4
4*3-3=9
9 * 4 + 4 = 40
40 * 5 – 5 = 195 (Not 196)
195 * 6 + 6 = 1176
Hence, wrong term = 196
1027. Ans e)
12 + 5 * 0.6 = 15
So, wrong number = 16.2
a)lternate solution:
6 + 0.6 = 6.6
6.6 + 1.2 = 7.8
7.8 + 1.8 = 9.6
9.6 + 2.4 = 12
12 + 3 = 15
So, wrong term = 16.2
1034. Ans b)
Wrong number = 1200
Pattern of series –
80 ×3=240
240 ×2.5=600
600 ×2=1200
1200 ×1.5= 1800
1800 ×1=1800
1800 ×0.5=900
So, 1800 should be in the place of 1200
1035. Ans a)
Wrong number = 5468
Pattern of series –
4 + (4)6 = 4100
4100 + (4)5 = 5124
5124 + (4)4 = 5380
5380 + (4)3 = 5444
5444 + (4)2 = 5460
5460 + (4)1 = 5464
So, 5464 should be in the place of 5468.
1036. Ans c)
1028. Ans a)
1029 Ans c)
1030. Ans a)
1031. Ans b)
Wrong number = 400 Pattern of series —
229 + 11 = 240
240 + 17 = 257
257 + 23 = 280
280 + 31 = 311
311 + 41 = 352
352 + 47 = 399
So, there should be 399 in place of 400.
(Alternate prime number)
1032. Ans e)
Wrong number = 216
Pattern of series –
242, 222, 202, 182, 162, 142, 122
So, 142 = 196
196 should be in the place of 216.
1037. Ans a)
1033. Ans d)
Logic for the given series:
6 + 1 * 0.6 = 6.6
6.6 + 2 * 0.6 = 7.8
7.8 + 3 * 0.6 = 9.6
9.6 + 4 * 0.6 = 12
Wrong number = 112
Pattern of series –
8 ×2-1=15
15 ×2-1=29
29 ×2-1=57
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
320
@Crossword2022
57 ×2-1=113
113 ×2-1=225
225 ×2-1=449
So, 113, should be place of 112.
1038. Ans c)
132 , 156 ,182 , 210 , 235 , 272 , 306
Difference = 24 26 28 30 32 34
2 2 2 2 2 2
= 240= so wrong number is = 235
1039. Ans a)
wrong number is 34 which should be replaced
with 33
1043. Ans b)
1040. Ans d)
Pattern is
12×0.5=6
6×1=6
6×2=12
12×4=48
48×8=384
384×6144
wrong number is 382 which should be
replaced with 384
1041 Ans b)
Pattern is
140-3=137
137-6=131
131-9=122
122-12=110
110-15=95
95-18=77
wrong number is 120 which should be replaced
with 122
1042. Ans c)
Pattern is
16×0.5+1=9
9×1+1=10
10×1.5+1=16
16×2+1=33
33×2.5+1=83.5
83.5×3+1=251.5
1046. Ans b)
1044. Ans a)
1045. Ans a)
1047. Ans a)
1048. Ans e)
2×2=4
4×3=12
12×4=48
48×5= 240
240×6=144
1049. Ans. d)
Series is
1050. Ans. d)
Pattern is ×2, ×3, ×4, ×5, ×6
∴ wrong term = 8645 ≠ 1440 × 6 = 8640
1051. Ans. e)
1052. Ans.a)
Pattern is ×1+1, ×2+2, ×3+3, ×4+4, ×5+5
∴ wrong term = 43 ≠ 14 × 3 + 3 = 45
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
321
@Crossword2022
1053. Ans.a)
1058. Ans e)
1059 Ans a)
1060. Ans d)
.
1054. Ans.a)
The pattern is as follows:
2240 x 3/2 = 3360
3360 x 5/2 = 8400
8400 x 7/2 = 29400
29400 x 9/2 = 132300
1055. Ans e)
Logic for the given series:
1061. Ans d)
So, wrong term = 204
1056. Ans e)
The pattern is as follows:
(17 - 1) x 2 = 32
(32 - 1) x 2 = 62
(62 - 1) x 2 = 122
(122 - 1) x 2 = 242
(242 - 1) x 2 = 482
(482 - 1) x 2 = 962.
1057. Ans.d)
The series is 50 + 1^2
= 51, 51 – 2^2
= 47, 47 + 32
= 56, 56 – 4^2
= 40, 40 + 5^2
= 65, 65 – 62 = 29.
Hence, there should be 40 in place of 42.
1064. Ans c)
14 + 82 = 78, 78 – 62 = 42, 42 + 4 2 = 58
58 – 22 = 54, 54 + 02 = 54
so, 54 should be in place of 56.
1065. Ans a)
The series follows the pattern:
800 – 22 = 796, 796 – 42 = 780, 780 – 62
= 744, 744 –82 = 680, 680 – 102
= 580
1066. Ans b)
The series follows the pattern:
150 + (8 × 1) = 158, 158 + (8 × 2)
1062. Ans e)
1063. Ans d)
Let the given numbers be A, B, C, D, E, F, G.
Then, A, A x 1 + 1, B x 2 + 2, C x 3 + 3, D x 4
+ 4, E x 5 + 5, F x 6 + 6 are the required
numbers.
Clearly, 228 is wrong. Hence, option d.
= 174, 174 + (8 × 3)
= 198, 198 + (8 × 4)
= 230, 230 + (8 × 5)
= 270
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
322
@Crossword2022
1067. Ans d)
1074. Ans d)
Wrong number = 558
Pattern of series –
1075. Ans c)
Pattern is ×2-4, × 4-9. ×6 -16, ×8-25,× 10-36.
Should be 560 in the place of 558.
1068. Ans b)
Wrong term = 1790  183 × 10 - 36 = 1794
1076. Ans a)
Pattern is ×3,÷ 6, ×3, ÷6, ×3, ÷6
1597 + 144 = 1741 (144 = 12 2)
1741 + 100 = 1841 (100 = 10 2)
1841 + 64 = 1905 (64 = 8 2)
1905 + 36 = 1941 (36 = 6 2)
1941 + 16 = 1957 (16 = 4 2)
Therefore, 1841 should come in place of
1847.
Wrong term = 10  3×3=9
1077. Ans a)
1069. Ans b)
Pattern is
1078. Ans a)
33 + 1 = 28
43 + 2 = 66
53+3 = 128
63 + 4 = 220
73 + 5 = 348
1079 Ans b)
83 + 6= 518
Wrong term = 224
1070. Ans a)
-93,-73,-53,-33,-l3
1080. Ans d)
Wrong term = 439
1071. Ans d)
Pattern is
1081. Ans a)
*4 + 5, *5+ 4, x 6 + 3, x 7+2, x8 +1
Wrong term = 780
1072. Ans a)
16 40 100 250 630 15625
1082. Ans d)
Pattern is × 2.5 , × 2.5……….etc
=so wrong number is 630
= 625 is place of 630
1073. Ans e)
1083. Ans b)
43 + 1 = 65
53 + 2 = 127
Pattern is ×2, ×2.5, ×3, ×3.5, ×4
Wrong term 520  131.25 × 4 = 525
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
323
@Crossword2022
63 + 3 = 219
1090. Ans b)
73 + 4 = 347
83 + 5 = 517
So, 347 should be in place of 348.
1084. Ans e)
1091 Ans a)
115/2 + 1.5 = 59
59/2 + 3.5 = 33
33/2 + 5.5 = 22
1092. Ans d)
476 - 32 = 467
467 + 4 2 = 483
483 - 52 = 458
458 + 6 2 = 494
494 – 72 = 445
Therefore, 445 should be in place of 442.
1093. Ans b)
157 + 15x1 = 172
172-15x3 = 127
127 + 15 x 5 = 202, not 204
202- 15 x 7 = 97
1094. Ans a)
30 x 0.6 = 18. not 32
18x0.6=10.8
10.8 x 0.6 = 6.48
6.48X 0.6 = 3.888
1095. Ans e)
42 x 1 + 3 = 45
45 x 2 + 3 = 93
93 x 3 + 3 = 282
282 x 4 + 3 = 1131
1131 x 5 + 3 = 5658, not 5652
1096. Ans c)
13-13 = 0
23 - 23 = 4
33-33= 18
43 - 43 = 48, not 54
53-53 = 100
63-63 = 180
1097. Ans e)
The logic in the series is:
37 * 2 = 74 (Not 75)
74 + 3 = 77
77 * 4 = 308
22/2 + 7.5 = 18.5
18.5/2 + 9.5 = 18.75
18.75/2 + 11.5 = 20.875
Therefore, 18.75 should be in place of 16.
1085. Ans c)
951 - 26 = 887
1887 - 25 = 855
855 - 24 = 839
839 - 23 = 831
831 - 22 = 827
827 - 21 = 825
1086. Ans e)
The pattern is as follows:
80 + 12 = 81
81 + 43 = 145
145 + 7 2 = 194
194 + 10 3 = 1194
1194 + 13 2 = 1363
1087. Ans c)
1088. Ans d)
1089. Ans e)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
324
@Crossword2022
308 + 5 = 313
1103. Ans b)
313 * 6 = 1878
1878 + 7 = 1885
Hence, wrong term = 75
1098. Ans a)
2 + 15 x 1 = 17
1104. Ans a)
17 + 15 x 2 = 47
47 + 15 x 3 = 92
92 + 15 x 4 = 152
1105. Ans d)
152 + 15 x 5 = 227
1099. Ans a)
Logic for the given series:
270 - 12 = 269
269 - 32 = 260
1106. Ans c)
260 - 52 = 235
235 - 72 = 186
186 - 92 = 105
So, wrong term = 267
1107. Ans d)
1100. Ans a)
Logic for the given series:
0.4 * 5 = 2
2 * 4.5 = 9
1108. Ans e)
9 * 4 = 36
36 * 3.5 = 126
126 * 3 = 378
1109. Ans a)
378 * 2.5 = 945
So, wrong term = 462
1101. Ans e)
24x 0.5 = 12.
1110. Ans b)
12x 1.5 = 18  15
18x 2.5 = 45,
45x 3.5 = 157.5.
157.5X 4.5 = 708.75
1111. Ans.a)
Wrong number = 720
Wrong number = 15
1102. Ans b)
Should be 722 in the place of 720
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
325
@Crossword2022
1112. Ans.e)
Pattern – 18 multiplied by consecutive prime
numbers
18 × 2 = 36
18 × 3= 54
18 × 5 = 90
18 × 7 = 126
18 × 11 = 198
18 × 13 = 234
18 × 17 = 306
So, series is right no need to replace only
number
1113. Ans.d)
Wrong number = 1004
Pattern of series →
(14)³ - 4 = 2740
(13)² - 4 = 165
(12)³ - 4 = 1724
(11)² - 4 = 117
(10)³ - 4 = 996
(9)² - 4 = 77
(8)³ - 4 = 508
So, should be 996 replace with 1004
1114. Ans.a)
Wrong number = 91090.5
4 × 12 – 0.5 = 47.5
47.5 × 10 – 0.5 = 474.5
474.5 × 8 – 0.5 = 3795.5
3795.5 × 6 – 0.5 = 22772.5
22772.5 × 4 – 0.5 = 91089.5
91089.5 × 2 – 0.5 = 182178.5
So, should be 91090.5 replace with 91089.5
1115. Ans.d)
Wrong number = 145
Pattern of series →
24 × 6 – 1 = 143
143 × 5 – 1 = 714
714 × 4 – 1 = 2855
2855 × 3 – 1 = 8564
8564 × 2 – 1 = 17127
17127 × 1 – 1 = 17126
So, should be 145 replace with 143
1116. Ans.c)
40+20=60
60+31=91
91+42=133
133+53=186
186+64=250
250+75=325
So, 91 should be in place of 95.
1117. Ans.e)
Series is correct.
1118. Ans e)
The pattern is as follows:
6 x 1 + 0.5 = 6.5
6.5 x 2 + 1.5 = 14.5
14.5 x 3 + 2.5 = 46.0
46.0 x 4 + 3.5 = 187.5
187.5 x 5 + 4.5 = 942.0
1119. Ans c)
The pattern is as follows:
48 x 1.5 = 72
72 x 1.5 = 108
108 x 1.5 = 162
162 x 1.5 = 243
243 x 1.5 = 364.5
1120. Ans d)
Logic for the given series:
457 - 63 = 241
241 - 53 = 116
116 - 43 = 52
52 - 33 = 25
25 - 23 = 17
17 - 13 = 16
So, wrong term = 112
1121. Ans a)
72550 - 137 = 72413
72413 - 138 = 72275
72275 - 139 = 72136
72136 - 140 = 71996
71996 - 141 = 71855
Therefore, 72413 should be in place of
72415.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
326
@Crossword2022
1122. Ans d)
Logic for the given series:
36 - 11 = 25
25 + 8 = 33
33 - 11 = 22
22 + 8 = 30
30 - 11 = 19
19 + 8 = 27
So, wrong term = 32
a)lternate solution:
Logic for the given series:
So, should be 996 replace with 1004
1127. Ans a)
Wrong number
= 91090.5
Pattern of series →
4 × 12 – 0.5 = 47.5
47.5 × 10 – 0.5 = 474.5
474.5 × 8 – 0.5 = 3795.5
3795.5 × 6 – 0.5 = 22772.5
22772.5 × 4 – 0.5 = 91089.5
91089.5 × 2 – 0.5 = 182178.5
So, should be 91090.5 replace with 91089.5
1128. Ans d)
Wrong number = 145
Pattern of series →
24 × 6 – 1 = 143
143 × 5 – 1 = 714
714 × 4 – 1 = 2855
2855 × 3 – 1 = 8564
8564 × 2 – 1 = 17127
17127 × 1 – 1 = 17126
So, should be 145 replace with 143
1129. Ans a)
From the 3rd number, each successive term
is average of previous 2 terms:
(168 + 88)/2 = 128
(88 + 128)/2 = 108
(128 + 108)/2 = 118
(108 + 118)/2 = 113
1130. Ans b)
The pattern is as follows:
64 x 0.5 = 32
32 x 1.0 = 32
32 x 1.5 = 48
48 x 2.0 = 96
96 x 2.5 = 240
1131. Ans e)
The pattern is as follows:
2 x 4 + 9 = 17
3 x 5 + 10 = 25
4 x 6 + 11 = 35
5 x 7 + 12 = 47
6 x 8 + 13 = 61
So, wrong term = 32
1123. Ans c)
Wrong number is 144.
1124. Ans c)
Wrong number = 720
Should be 722 in the place of 720
1125. Ans c)
The series follows the pattern
450 + 1 3 = 451, 451 + 2 3 = 459, 459 + 3 3
= 486, 486 + 4 3 = 550, 550 + 5 3 = 675
Therefore, 675 should be in place of 700.
1126. Ans d)
Wrong number
= 1004
Pattern of series →
(14)³ - 4 = 2740
(13)² - 4 = 165
(12)³ - 4 = 1724
(11)² - 4 = 117
(10)³ - 4 = 996
(9)² - 4 = 77
(8)³ - 4 = 512
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
327
@Crossword2022
1132. Ans b)
38 76 95 133 209 247
Adding - +38 , + 19 , +38, +19, +38
/2 * 2
/2 *2 /2
Hence, wrong term = 209
1133. Ans b)
Logic in the series:
(18 * 1) - 1 = 17
(17 * 2) - 2 = 32
(32 * 3) - 3 = 93
(93 * 4) - 4 = 368
(368 * 5) - 5 = 1835
(1835 * 6) - 6 = 11004
1134. Ans b)
53 + 1 = 126, 6 3 + 1= 217, 7 3 +1
= 344, 8 3 + 1 = 513
93 + 1 = 730, 10 3 + 1 = 1001
So, 1001 should be in place of 999.
1135. Ans d)
Logic for the given series:
80 * 0.5 = 40
40 * 1.5 = 60
60 * 2.5 = 150
150 * 3.5 = 525
525 * 4.5 = 2362.5
So, wrong term = 180
1136. Ans c)
154 + (1 3 + 1) = 156
156 - (23 + 1) = 147
147 + (3 3 + 1) = 175
175 - (43 + 1) = 110 (Not 100)
110 + (5 3 + 1) = 236
236 - (63 + 1) = 19
1137. Ans e)
Logic in the series is as follows:
41 * 0.5 + 0.5 = 21
21 * 1 + 1 = 22
22 * 1.5 + 1.5 = 34.5 (Not 34)
34.5 * 2 + 2 = 71
71 * 2.5 + 2.5 = 180
Hence, wrong term = 34
1138. Ans c)
Series Pattern
Given series
20
20*2-11= 29
47*2-11 = 47
83*2-11 = 155
155*2-11 = 299
20
29
47
155
290
LATEST PATTERN BASED NUMBER SERIES
QUESTIONS FOR BANK MAINS EXAM
1139. Ans: b)
The logic in the series is as follows:
7*2 + 3 0 = 15
15*2 + 3 1 = 33
33*2 + 3 2 = 75
75*2 + 3 3 = 177
177*2 + 3 4 = 435
435*2 + 3 5 = 1113
Absolute difference between the missing
numbers = 1113 - 15 = 1098
1140. Ans: b)
Logic in the first series:
(6 * 1) - 2 = 4
(4 * 2) + 3 = 11
(11 * 3) - 4 = 29
(29 * 4) + 5 = 121
(121 * 5) - 6 = 599 (Wrong term)
Similarly,
(13 * 1) - 2 = 11
(11 * 2) + 3 = 25
(25 * 3) - 4 = 71
(71 * 4) + 5 = 289
(289 * 5) - 6 = 1439
1141. Ans: b)
Logic for series I:
12 + 14 = 26
26 + 16 = 42
42 + 18 = 60
60 + 20 = 80
80 + 22 = 102
So, A = 80
All three series are following the same logic.
So,
Logic for series II:
48 + 14 = 62
62 + 16 = 78
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
328
@Crossword2022
78 + 18 = 96
96 + 20 = 116
116 + 22 = 138
So, B = 78
And 2C = 138 => C = 69
Here, A = 80, B = 78, C = 69
Therefore, (2C + B)/(A - B)
= (2 * 69 + 78)/(80 - 78) = 216/2= 108
1142. Ans: c)
Logic for series I:
12 + 14 = 26
26 + 16 = 42
42 + 18 = 60
60 + 20 = 80
80 + 22 = 102
So, A = 80
All three series are following the same logic.
So,
Logic for series II:
48 + 14 = 62
62 + 16 = 78
78 + 18 = 96
96 + 20 = 116
116 + 22 = 138
So, B = 78
And 2C = 138 => C = 69
We have, A = 80, B = 78 and C = 69
The above series is: 80/2, 78/2, (69 + 5)/2,
(69 - 1)/2,
40, 39, 37, 34, __
The logic of the series is:
40 - 1 = 39
39 - 2 = 37
37 - 3 = 34
34 - 4 = 30
So, the value for the blank = 30
1143. Ans: e)
The pattern is as follows:
163 + 10 2 = 263
263 + 12 2 = 407
407 + 14 2 = 603
603 + 16 2 = 859
859 + 18 2 = 1183
1144. Ans: e)
The pattern is as follows:
181 + 4 3 + 5 = 250
250 + 5 3 + 6 = 381
381 + 6 3 + 7 = 604
604 + 7 3 + 8 = 955
955 + 8 3 + 9 = 1476
1145. Ans: b)
The pattern is as follows:
22 x 3 = 66
66 x 4 = 264
264 x 5 = 1320
1320 x 6 = 7920
7920 x 7 = 55440
1146. Ans: b)
The pattern is as follows:
7 + 13 x 1 = 20
20 + 13 x 3 = 59
59 + 13 x 5 = 124
124 + 13 x 7 = 215
215 + 13 x 9 = 332
1147. Ans: c)
The pattern is as follows:
2 x 3 + 4 = 10
3 x 4 + 5 = 17
4 x 5 + 6 = 26
5 x 6 + 7 = 37
6 x 7 + 8 = 50
7 x 8 + 9 = 65
1148. Ans: a)
Logic for series II:
4*2+1=9
9 * 2 + 2 = 20
20 * 2 + 3 = 43
43 * 2 + 4 = 90
90 * 2 + 5 = 185
So, 185 = 5B => B = 37
All three series are following the same logic.
So,
Logic for series I:
7 * 2 + 1 = 15
15 * 2 + 2 = 32
32 * 2 + 3 = 67
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
329
@Crossword2022
67 * 2 + 4 = 138
138 * 2 + 5 = 281
So, A = 32
And logic for series III:
11, 23, 48, 3C, 202, 409
11 * 2 + 1 = 23
23 * 2 + 2 = 48
48 * 2 + 3 = 99
99 * 2 + 4 = 202
202 * 2 + 5 = 409
So, 3C = 99 => C = 33
Here, A = 32, B = 37, C = 33
Therefore, 3A - 2B + C
= 3 * 32 - 2 * 37 + 33 = 96 - 74 + 33= 55
1149.Ans c)
Logic for series II:
4*2+1=9
9 * 2 + 2 = 20
20 * 2 + 3 = 43
43 * 2 + 4 = 90
90 * 2 + 5 = 185
So, 185 = 5B => B = 37
All three series are following the same logic.
So,
Logic for series I:
7 * 2 + 1 = 15
15 * 2 + 2 = 32
32 * 2 + 3 = 67
67 * 2 + 4 = 138
138 * 2 + 5 = 281
So, A = 32
And logic for series III:
11, 23, 48, 3C, 202, 409
11 * 2 + 1 = 23
23 * 2 + 2 = 48
48 * 2 + 3 = 99
99 * 2 + 4 = 202
202 * 2 + 5 = 409
So, 3C = 99 => C = 33
We have, A = 32, B = 37, C = 33
From (i):
Twice of A = 2 * 32 = 64
Then, 64 - 24 = 30 ≠ 37 (=B)
So, this statement is false.
From (ii):
The average of B and C = (37 + 33)/2 = 35
> 32 (=A)
So, this statement is true.
From (iii):
B is greater than both A and C, i.e., B>A, B>C
or A < B > C
So, this statement is true.
Hence, statement (ii) and (iii) are true.
1150. Ans a)
The logic can be seen as difference of
difference:
1151. Ans b)
The logic in (i) is:
12 + 13 - 1 = 12
12 + 23 - 1 = 19
19 + 33 - 1 = 45
45 + 43 - 1 = 108
108 + 5 3 - 1 = 232
So, a = 45
The logic in (ii) is:
45*6 = 270
270/3 = 90
90*6 = 540
540/3 = 180
So, 180*6 = 1080
b = 45
The logic in (iii) is:
The series can be found out by difference of
difference:
So, c = 36
So, a = b > c
1152. Ans b)
The logic in the series is as follows:
700 - 7*6 = 658
658 - 6*5 = 628
628 - 5*4 = 608
608 - 4*3 = 596
596 - 3*2 = 590
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
330
@Crossword2022
Or
127 * 2 + 1 = 255
Option (a): z(x + y) = 8 (16 + 5) = 168
Option (b): xz - 1 = 16 * 8 - 1 = 127
Option (c): xy + z = 16 * 5 + 8 = 88
Option (d): 5x + 4y = 5 * 16 + 4 * 5 = 100
1154. Ans b)
(x2 - y2) = 231
(x - y) (x + y) = 3 * 7 * 11
Possible values of 'x' and 'y' are:
1153. Ans b)
(x2 - y2) = 231
(x - y) (x + y) = 3 * 7 * 11
Possible values of 'x' and 'y' are:
Hence,
x = 16 and,
y=5
LCM of x and 2y = LCM of 16 and 10 = 80
z = (LCM of x and 2y) ÷ 10
z = 80 ÷ 10
z=8
A = (x - 2y)2 - 21
A = (16 - 10)2 - 21
A = 62 - 21
A = 36 - 21
A = 15
B = (z - y)2 + A + 7
B = (8 - 5)2 + 15 + 7
B = 32 + 22
B = 9 + 22
B = 31
C = A 2 - (x - y)2 - B - 10
C = 15 2 - (16 - 5)2 - 31 - 10
C = 225 - 112 - 31 - 10
C = 225 - 121 - 31 - 10
C = 63
Series:
?, 15, 31, 63, D, 255
D=A+B+C
= 15 + 31 + 63
= 109
Since 109 lies closer to the square of 10.
Which means √109 will lie closer to 10.
Hence,
x = 16 and,
y=5
LCM of x and 2y = LCM of 16 and 10 = 80
z = (LCM of x and 2y) ÷ 10
z = 80 ÷ 10
z=8
A = (x - 2y)2 - 21
A = (16 - 10)2 - 21
A = 62 - 21
A = 36 - 21
A = 15
B = (z - y)2 + A + 7
B = (8 - 5)2 + 15 + 7
B = 32 + 22
B = 9 + 22
B = 31
C = A 2 - (x - y)2 - B - 10
C = 152 - (16 - 5)2 - 31 - 10
C = 225 - 112 - 31 - 10
C = 225 - 121 - 31 - 10
C = 63
Series:
?, 15, 31, 63, D, 255
Series: ?, 15, 31, 63, D, 255
Since the series follows a certain pattern.
The pattern in the series is:
15 * 2 + 1 = 31
31 * 2 + 1 = 63
63 * 2 + 1 = 127 = D
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
331
@Crossword2022
1155. Ans a)
(x2 - y2) = 231
(x - y) (x + y) = 3 * 7 * 11
Possible values of 'x' and 'y' are:
Hence,
x = 16 and,
y=5
LCM of x and 2y = LCM of 16 and 10 = 80
z = (LCM of x and 2y) ÷ 10
z = 80 ÷ 10
z=8
A = (x - 2y)2 - 21
A = (16 - 10)2 - 21
A = 62 - 21
A = 36 - 21
A = 15
B = (z - y)2 + A + 7
B = (8 - 5)2 + 15 + 7
B = 32 + 22
B = 9 + 22
B = 31
C = A 2 - (x - y)2 - B - 10
C = 15 2 - (16 - 5)2 - 31 - 10
C = 225 - 112 - 31 - 10
C = 225 - 121 - 31 - 10
C = 63
Series:
?, 15, 31, 63, D, 255
Series: ?, 15, 31, 63, D, 255
Since the series follows a certain pattern.
The pattern in the series is:
15 * 2 + 1 = 31
31 * 2 + 1 = 63
63 * 2 + 1 = 127 = D
127 * 2 + 1 = 255
Let missing term = 'x'
2x + 1 = 15
2x = 14
x=7
7th term = 255 * 2 + 1
= 511
Required sum
= 7 + 511 = 518
Hence,
x = 16 and,
y=5
LCM of x and 2y = LCM of 16 and 10 = 80
z = (LCM of x and 2y) ÷ 10
z = 80 ÷ 10
z=8
A = (x - 2y)2 - 21
A = (16 - 10)2 - 21
A = 62 - 21
A = 36 - 21
A = 15
B = (z - y)2 + A + 7
B = (8 - 5)2 + 15 + 7
B = 32 + 22
B = 9 + 22
B = 31
C = A 2 - (x - y)2 - B - 10
C = 152 - (16 - 5)2 - 31 - 10
C = 225 - 112 - 31 - 10
C = 225 - 121 - 31 - 10
C = 63
Series:
?, 15, 31, 63, D, 255
D = 2C - y - z
= 2 * 63 - 5 - 8
= 126 – 13 = 113
Now series is:
?, 15, 31, 63, 113, 255
In the above series, 31 and 113 prime
numbers.
1156. Ans b)
(x2 - y2) = 231
(x - y) (x + y) = 3 * 7 * 11
Possible values of 'x' and 'y' are:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
332
@Crossword2022
1157. Ans d)
34 + 6 × 2 = 46
46 + 6 × 4 = 70
70 + 6 × 6 = 106
106 + 6 × 8 = 154
154 + 6 × 10 = 214
214 + 6 × 12 = 286
286 + 6 × 14 = 370
370 + 6 × 16 = 466
466 + 6 × 18 = 574
So the series is 34, 46, 70, 106, 154, 214, 286,
370, 466 and 574
574 is the tenth term, so the value of n = 10
1158. Ans b)
Logic for number series I:
200 - 4 = 196
196 + 9 = 205
205 - 16 = 189
189 + 25 = 214
214 - 36 = 178
So, wrog number in series I = 203
Now, 203 is the first element of series II and
the its other elements will be:
2nd element: 203 - 4 = 199
3rd element: 199 + 9 = 208
4th element: 208 - 16 = 192
5th element: 192 + 25 = 217
6th element: 217 - 36 = 181
Therefore, average of 4 th and 6 th element in
number series II= (192 + 181 )/2 = 186.5
1159. Ans. b)
The pattern is as follows:
7 x 3 + 1 = 22
22 x 3 + 2 = 68
68 x 3 + 3 = 207
207 x 3 + 4 = 625
625 x 3 + 5 = 1880
1160. Ans b)
82 + 1 = 65
132 + 7 = 176
182 + 13 = 337
232 + 19 = 548
282 + 25 = 809
332 + 31 = 1120
1161. Ans c)
112 × 1 + 2! = 114
114 × 2 + 3! = 234
234 × 3 + 4! = 726
726 × 4 + 5! = 3024
3024 × 5 + 6! = 15840
Therefore, 3024 should come in place of 3036
1162. Ans d)
6 x 8 = 48
12 x 14 = 168
18 x 20 = 360
24 x 26 = 624
30 x 32 = 960
36 x 38 = 1368
1163. Ans d)
The pattern is as follows:
10 + (4 2 - 1) = 25
25 + (5 2 - 1) = 49
49 + (6 2 - 1) = 84
84 + (7 2 - 1) = 132
132 + (8 2 - 1) = 195
1164. Ans.e)
The pattern is as follows:
43 + 5 = 69
53 + 5 = 130
63 + 5 = 221
73 + 5 = 348
83 + 5 = 517
93 + 5 = 734
1165. Ans e)
The pattern is as follows:
(9 - 3) x 4 = 24
(24 - 3) x 4 = 84
(84 - 3) x 4 = 324
(324 - 3) x 4 = 1284
(1284 - 3) x 4 = 5124
(5124 - 3) x 4 = 20484
1166. Ans a)
The pattern is as follows:
320 x 0.5 = 160
160 x 1.0 = 160
160 x 1.5 = 240
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
333
@Crossword2022
240 x 2.0 = 480
480 x 2.5 = 1200
1167. Ans. c)
The pattern is as follows:
23 + 13 - 1 = 23
23 + 23 - 1 = 30
30 + 33 - 1 = 56
56 + 43 - 1 = 119
119 + 5 3 - 1 = 243
243 + 6 3 - 1 = 458
1168. Ans. d)
The pattern is as follows:
35 + 30 + 3 = 39
39 + 31 + 3 = 45
45 + 32 + 3 = 57
57 + 33 + 3 = 87
87 + 34 + 3 = 171
171 + 3 5 + 3 = 417
1169. Ans. e)
The logic in the series is the difference of
difference and is shown below:
13 + 29 = 42
42 + 29 + 17 = 88
88 + 29 + 17 - 6 = 128
128 + 29 + 17 - 6 + 17 = 185
185 + 29 + 17 - 6 + 17 - 6 = 236
236 + 29 + 17 - 6 + 17 - 6 + 17 = 304
1170. Ans. e)
The logic in series 1 is:
12*0.5 + 10 = 16
16*2 + 20 = 52
52*0.5 + 30 = 56
56*2 + 40 = 152
152*0.5 + 50 = 126
So, the wrong number is 156
The logic in series 2 is:
2*1 + 2 1 = 4
4*2 + 2 2 = 12
12*3 + 2 3 = 44
44*4 + 2 4 = 192
192*5 + 2 5 = 992
So, the wrong number is 52
(I): 156 - 52 = 104 = 8*13
So, (I) is true.
(II): 156/52 = 3
So, (II) is true.
(III): 156 + 52 = 208, which lies between 200
and 215.
So, (III) is true.
1171. Ans. b)
The logic in the series is:
4*3 = 12
12*3.5 = 42
42*4 = 168
168*4.5 = 756
756*5 = 3780
So, the wrong number is 48
The logic in the series is:
8 + 23 - 12 = 15
15 + 33 - 22 = 38
38 + 43 - 32 = 93
93 + 53 - 42 = 202
202 + 6 3 - 52 = 393
So, the wrong number is 204
(I): 204 - 48 = 156 = 13*12
So, (I) is true.
(II): 204 + 48 = 252 = 7*36
So, (II) is true.
(III): 204 = 4*48 + 12
So, (III) is false.
1172. a)
The logic in the series is:
3*2 - 12 = 5
5*3 - 22 = 11
11*4 - 32 = 35
35*5 - 42 = 159
159*6 - 52 = 929
So, the wrong number is 39
The logic in the series is:
200 - 82 = 136
136 + 9 2 = 217
217 - 102 = 117
117 + 11 2 = 238
238 - 122 = 94
So, the wrong number is 234
(I): 234/39 = 6
So, (I) is true.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
334
@Crossword2022
(II): 234 + 1 = 235
2 + 2*39 = 80
235/80 = Remainder is 75
So, (II) is false.
(III): 234 + 39 = 273 = 3*7*13
So, (III) is false.
1173. Ans e)
(i) 23.5 - 0.3 = 23.2
23.2 + 0.5 = 23.7
23.7 - 0.7 = 23 = a
23 + 0.9 = 23.9
23.9 - 1.1 = 22.8
(ii) 9 * 0.5 + 0.5 = 5
5*1+1=6
6 * 1.5 + 1.5 = 10.5
10.5 * 2 + 2 = 23 = b
23 * 2.5 + 2.5 = 60
60 * 3 + 3 = 183
(iii) 798 - 73 = 455
455 - 63 = 239
239 - 53 = 114
114 - 43 = 50
50 - 33 = 23 = c
23 - 23 = 15
Hence, a = b = c
1174. Ans a)
Logic for number series I:
2*2+3=7
7 * 3 + 4 = 25
25 * 4 + 5 = 105
105 * 5 + 6 = 531
531 * 6 + 7 = 3193
So, wrong number in series I = 21
Now, 21 is the first element of series II and
the its other elements will be:
2nd element: 21 * 2 + 3 = 45
3rd element: 45 * 3 + 4 = 139
4th element: 139 * 4 + 5 = 561
Therefore, sum of 2 nd and 4th element of
number series II
= 45 + 561= 606
1175. c)
The logic in series 1 is:
11*0.5 - 2 = 3.5
3.5*1 −2 = 1.5
1.5*2 - 2 = 1
1*4 - 2 = 2
2*8 - 2 = 14
14*16 - 2 = 222
So, the wrong number in series 1 is 28
The logic in series 2 is:
(1 + 1)*16 = 32
(32 + 1)*8 = 264
(264 + 1)*4 = 1060
(1060 + 1)*2 = 2122
(2122 + 1)*1 = 2123
(2123 + 1)*0.5 = 1062
So, the wrong number in series 2 is 2212
I. 2212/28 = 79. So, I is correct.
II. 2 + 2 + 1 + 2 = 7 which is a divisor of 28.
So, II is correct.
III. 2212 + 28 = 2240 < 2250. So, III is
incorrect.
IV. 282 = 784. 2212 = 2*784 = 644 which is
not a multiple of 8. So, IV is incorrect.
1176. b)
Logic for number series I:
600 * 0.5 = 300
300 * 0.4 = 120
120 * 0.5 = 60
60 * 0.4 = 24
24 * 0.5 = 12
12 * 0.4 = 4.8
So, wrong number in series I = 180
Now, 180 is the first element of series II and
the its other elements will be:
2nd element: 180 * 0.5 = 90
3rd element: 90 * 0.4 = 36
4th element: 36 * 0.5 = 18
5th element: 18 * 0.4 = 7.2
6th element: 7.2 * 0.5 = 3.6
Therefore, 3.6 is the 6 th element of number
series II.
1177. d)
The logic in series 1 is:
3*2 + 1 2 = 7
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
335
@Crossword2022
7*3 + 2 2 = 25
25*4 + 3 2 = 109
109*5 + 4 2 = 561
561*6 + 5 2 = 3391
So, the wrong number in series 1 is 101
The logic in series 2 is:
3*3 - 7 = 2
2*3 + 7 = 13
13*3 - 7 = 32
32*3 + 7 = 103
103*3 - 7 = 302
So, the wrong number in series 2 is 105
I. 105 - 101 = 4. So, I is incorrect.
II. 105 + 101 = 206 = 2*103. So, II is correct
III. 1 + 0 + 1 = 2 and 1 + 0 + 5 = 6. So, III is
correct.
IV. (105 - 101)2 = 16 which is not divisible
by 14. So, IV is incorrect.
1178. Ans a)
Logic for number series I:
8 * 0.5 = 4
4 * 1.5 = 6
6 * 2.5 = 15
15 * 3.5 = 52.5
52.5 * 4.5 = 236.25
So, wrong number in series I = 2
Now, 2 is the first element of series II and the
its other elements will be:
2nd element: 2 * 0.5 = 1
3rd element: 1 * 1.5 = 1.5
4th element: 1.5 * 2.5 = 3.75
5th element: 3.75 * 3.5 = 13.125
Therefore, difference between 4 th and
5th element of series II = 13.125 - 3.75
= 9.375
1179. b)
The logic in series 1 is:
2 + 32 = 11
11 + 42 = 27
27 + 52 = 52
52 + 62 = 88
88 + 72 = 137
So, the wrong number in series 1 is 99
The logic in series 2 is:
21 - 32 = 12
12 + 42 = 28
28 - 52 = 3
3 + 62 = 39
39 - 72 = −10
So, the wrong number in series 2 is 27
I. 99:27 = 11:3. So, I is incorrect.
II. 99 - 27 = 72. So, II is correct.
III. 99 + 27 = 126 which is divisible by 7. So,
III is correct.
IV. The ratio = (9 + 9) : (2 + 7) = 18:9 = 2:1.
So, IV is correct.
1180. Ans: d
Logic for the given series:
125 * 0.8 = 100
100 * 0.8 = 80
80 * 0.8 = 64
64 * 0.8 = 51.2
51.2 * 0.8 = 40.96
So, wrong term = 88
1181. b)
Logic for the given series:
5 * 3 - 2 = 13
13 * 3 - 2 = 37
37 * 3 - 2 = 109
109 * 3 - 2 = 325
325 * 3 - 2 = 973
So, wrong term
= 101
1182. e)
The logic in the series is:
(17 + 1)*1 = 18
(18 - 2)*2 = 32
(32 + 3)*3 = 105
(105 - 4)*4 = 404
(404 + 5)*5 = 2045
(2045 - 6)*6 = 12234
1183. Ans a)
Logic for the given series:
215 - 9 = 206
206 - 19 = 187
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
336
@Crossword2022
subtracted from the same number to get the
next term:
(10 * 0.5) - 0.5 = 4.5
(4.5 * 1) - 1 = 3.5
(3.5 * 2) - 2 = 5
(5 * 4) - 4 = 16
(16 * 8) - 8 = 120 (Not 122)
1187. a)
Logic of the series I:
288 ÷ 16 = 18
18 * 8 = 144
144 ÷ 4 = 36
36 * 2 = 72
72 ÷ 1 = 72
Wrong term is 64.
Series II:
64 ÷ 16 = 4
4 * 8 = 32
32 ÷ 4 = 8
8 * 2 = 16
16 ÷ 1 = 16
1188. b)
Series I:
28 + 1 = 29
29 + 4 = 33
33 + 9 = 42
42 + 16 = 58
Wrong term = 30
Series II:
30 + 1 = 31
31 + 4 = 35
35 + 9 = 44
44 + 16 = 60
187 - 29 = 158
158 - 39 = 119
119 - 49 = 70
70 - 59 = 11
So, wrong term
= 177
1184. Ans: b)
Logic for number series I:
(7 - 1) * 2 = 12
(12 - 2) * 2 = 20
(20 - 3) * 2 = 34
(34 - 4) * 2 = 60
(60 - 5) * 2 = 110
So, wrong number in series I = 56
Now, 56 is the first element of series II and
the its other elements will be:
2nd element: (56 - 1) * 2 = 110
3rd element: (110 - 2) * 2 = 216
4th element: (216 - 3) * 2 = 426
5th element: (426 - 4) * 2 = 844
Then, sum digits of 3 rd element of series II
=2+1+6=9
And sum of digits of 5 th element of series II
= 8 + 4 + 4 = 16
Therefore, product of sum of digits of
3rd element and sum of digits of 5 th element
of number series II
= 9 * 16 = 144
1185. Ans b)
The logic in this series is the difference
between two consecutive numbers which is
square of consecutive natural numbers:
800 - 679 = 121 = 112
679 - 579 = 100 = 10 2
579 - 498 = 81 = 92
498 - 434 = 64 = 82
434 - 385 = 49 = 72
385 - 349 = 36 = 62
Hence, 678 is the wrong term of the series.
1186. b)
In this series, each previous term is first
multiplied by number [0.5 to 8] and then
1189. e)
(14 + 1)*8 = 120
(120 + 1)*4 = 484
(484 + 1)*2 = 970
(970 + 1)*1 = 971
(971 + 1)*0.5 = 486
1190. d)
The logic in the series is:
2*6 - 7 = 5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
337
@Crossword2022
5*5 - 6 = 19
19*4 - 5 = 71
71*3 - 4 = 209
209*2 - 3 = 415
415*1 - 2 = 413
Sum of wrong numbers
= 9 + 29
= 38
1191. a)
In this series, difference between two
consecutive numbers is '1' more than the
cube consecutive natural numbers:
502 - (13 + 1) = 500 (Not 498)
500 - (23 + 1) = 491
491 - (33 + 1) = 463
463 - (43 + 1) = 398
398 - (53 + 1) = 272
272 - (63 + 1) = 55
1192. c)
Logic for number series I (consecutive prime
numbers are added):
5 + 7 = 12
12 + 11 = 23
23 + 13 = 36
36 + 17 = 53
53 + 19 = 72
So, wrong number in series I = 14
Now, 14 is the first element of series II and
the its other elements will be:
2nd element: 14 + 7 = 21
3rd element: 21 + 11 = 32
4th element: 32 + 13 = 45
Therefore, product of 2 nd and 4th element of
series II = 21 * 45 = 945
1193. d)
There are three series.
First series:
3+6=9
9 + 6 = 15
Second series:
4 + 8 = 12
12 + 8 = 20
Third series:
5 + 10 = 15
15 + 10 = 25
Hence, wrong term in the series is 10.
1194. c)
The pattern is as follows:
92 + 3 = 84
102 + 3 = 103
112 + 3 = 124
122 + 3 = 147
132 + 3 = 172
So, wrong term is 199.
Series II. 142 + 3 = 196 + 3 = 199
152 + 3 = 225 + 3 = 228
162 + 3 = 256 + 3 = 259
172 + 3 = 289 + 3 = 292
182 + 3 = 324 + 3 = 327
Required answer
= (16) × (12) = 192
1195. b)
The pattern is as follows:
13 x 2 + 1 = 27
27 x 2 + 2 = 56
56 x 2 + 3 = 115
115 x 2 + 4 = 234
234 x 2 + 5 = 473
1196. a)
The pattern is as follows:
42 + 1 = 17
82 + 7 = 71
122 + 13 = 157
162 + 19 = 275
202 + 25 = 425
242 + 31 = 607
1197. a)
The pattern is as follows:
6 + (32 - 1) = 14
14 + (4 2 - 1) = 29
29 + (5 2 - 1) = 53
53 + (6 2 - 1) = 88
88 + (7 2 - 1) = 136
1198. b)
The pattern is as follows:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
338
@Crossword2022
53 + 4 = 129
63 + 4 = 220
73 + 4 = 347
83 + 4 = 516
93 + 4 = 733
103 + 4 = 1004
1199. a)
The pattern is as follows:
25 + 15 = 40
40 + 15+ 17 = 72
72 + 15+ 17+ 19 = 123
123 + 15+ 17+ 19+ 21 = 195
195 + 15+ 17+ 19+ 21+ 23 = 290
1200. c)
The pattern is as follows:
(2066 + 1) / 3 = 689
(689 + 1) / 3 = 230
(230 + 1) / 3 = 77
(77 + 1) / 3 = 26
(26 + 1) / 3 = 9
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
339
@Crossword2022
Quadratic Equations
Complete Book on Speed Maths 4000 Questions
BASIC CONCEPT
The quadratic equation:
The quadratic equation is an important topic that is asked in the exams under the Quantitative Aptitude Section.
Usually, 5 questions are asked from this topic. If prepared well, you can easily score 5 marks in this topic with the
help of some short tricks. Let us discuss the important concepts of Quadratic Equation with important tricks and
examples in this Chapter now
First and foremost, Relation between X and Y is established only when the relationship is defined for all solutions.
1. LINEAR EQUATIONS:
In linear equations, both X and Y have only one value. So relation can be established easily.
3X+4Y=18, 5x+7Y= 12
(3X+4Y= 18)× 5, (5X+7Y=12)× 3
15X+20Y=90……..(i)
15X+21Y=36……..(ii)
subtracting equation (i) from equation (2)
we get, Y = -54, X = 78
Hence, X > Y
2. SQUARES:
In this, solutions have both negative and positive value.
X2=400 and Y2=4900
X = ±20 and Y = ±70
+70 is greater than both -20 and +20, but -70 is less than both -20 and +20. So, the answer will be Cannot be
determined.
TRICK: Whenever both equations are given in the square form, our ANSWER will be 'Can’t be determined.'
3. SQUARES AND SQUARE ROOT CASE.
X2=900 and Y = √1600
We know that square root always gives a positive value. So, Y will have ONLY +40 NOT -40.
X = ±30 and Y = +40
+40 is greater than both +30 and -30. Hence Y > X.
4. Cubes Case.
If X3=1728, Y3=512
then, X=12 and Y = 8
X is greater than Y, so relation is X > Y.
If X3= -1728 and Y3= 512
then, X= -12 and Y = 8
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
340
@Crossword2022
X is less than Y, so relation is X < Y.
Note:
When X3 > Y3, relationship is X > Y and when X3 < Y3,
relation is X < Y.
TRICK: When both equations are in cube form. If X3 > Y3,
then X > Y and X3 < Y3, then X < Y.
5. Square and cube cases.
If X2=36 and Y3=216
then X = +6, -6 and Y=6
So, Y = 6 is equal to X = 6 and Y = 6 is greater than X = -6.
So, Y ≥ X
If X2=25 and Y3=64
then X = +5, -5 and Y = 4
So, Y = 4 is greater than X = -5 and less than X = +5, So relation Can’t be Determined.
Table Method to solve Quadratic Equations Easily
1. Write down the table (given below) before exam starts, in your rough sheet, to use during the exam, Analyse the
(+, -) signs in the problem, and refer to the table of signs.
2. Write down the new (solution) signs, and see if a solution is obtained instantly. If not, then go to step 3.
3. Obtain the two possible values for X & Y, from both the equations,
4. Rank the values and get the solution
STEP 1
Firstly, when you enter the exam hall, you need to write down the following master table in your rough sheet
instantly (only the signs):Let us consider that the equations are AX2+BX+C = 0 and AY2+BY+C = 0
AX2+BX+C = 0 and AY2+BY+C = 0
Type of Equation
AX2+BX+C = 0 or AY2+BY+C = 0
Roots in X or Y equation
Sign of BX or BY
Sign of C
Sign of bigger root
Sign of smaller root
P
+
+
-
-
Q
-
+
+
+
R
+
-
-
+
S
-
-
+
-
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
341
@Crossword2022
Now we will discuss the cases as mentioned below in the table.
CASE
I
II
III
IV
V
VI
ROOTS OF
X /Y
+,+ (Q)
+,+ (Q)
+,+ (Q)
+,- (R or S)
+,- (R or S)
-,- (P)
ROOTS OF
X/Y
+,+ (Q)
+,- (R or S)
-,- (P)
-,- (P)
+,- (R or S)
-,- (P)
CONCLUSION
Easy
Will discuss
Left>Right
Will discuss
Cannot be defined
Easy
CASE I:
When the result of both equations are Q-type having both roots (+).
(i) If X2-7X+12 = 0
both roots will be positive i.e. +3 and +4
Y2-13Y+42 = 0
both roots will be positive i.e. +7 and +6
We can see that both roots of X are less than both roots of Y. So, X < Y.
(ii) If X2-11X+28=0
both roots will be positive i.e. +7 and +4.
Y2-11Y+30 = 0
both roots will be positive i.e. +5 and +6.
Here, +7 > +5 & +7 > +6
but +4 < +6
also +4 < +5
As we can see in the comparison above, there are TWO relations between X and Y which are both > and <. So relation
cannot be defined.
Note 1: When both equations have BX (-) and C (+), You have to go in detail.
CASE II:
When the result of one equation is Q type and another is either R type or S type.
(i)
Q type: Y2-42Y+272, Roots are 34,8
R type: X2+16X-1700, Roots are -50,34
Now let us compare the values in this table below –
X
RELATION
-50
<
-50
<
34
=
34
>
Y
34
8
34
8
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
342
@Crossword2022
When we compared the values of X and Y in the table above, we found that there are THREE relations between X and
Y i.e. =, > and <. So, a relation cannot be defined.
(ii)
Q type: X2-7X+12 = 0, Roots are 3,4
R type: Y2-Y-12 = 0, Roots are 4,-3
Now let us compare the values in this table below –
X
RELATION
Y
4
=
4
4
>
-3
3
<
4
3
>
-3
When we compared the values of X and Y in the table above, we found that there are TWO relations between X and Y
i.e. >, =. So relation CANNOT BE DEFINED.
CASE III:
When one equation is P-type having both roots (-) another Q type having both roots (+).
(i) P type: X2+7X+12=0, Roots are -3, -4
Q type: Y2-7Y+12=0, Roots are 3,4
Comparing the values in the below table –
X
RELATION
Y
-3
<
3
-3
<
4
-4
<
3
-4
<
4
On comparing, we saw that So roots of Y equation are greater than roots of X.
Note: In this case, roots of the equation Q type will always be greater than P-type.
CASE IV:
When the result of one equation is P-type having both roots negative and another is either R type or S type having one
root (-) and another one (+)
(i) P type: X2+7X+12, Roots are -3,-4
R type: Y2-Y-12, roots are 4,-3
Comparing the values in the below table X
RELATION
Y
-3
<
4
-3
=
-3
-4
<
4
-4
<
-3
On comparison of X and Y values, There are TWO relations between X and Y i.e. =, <. So, X ≤ Y.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
343
@Crossword2022
CASE V:
When the result of both equations are either R type or S type or one equation is R type and another is S type having one
root (-) and another root (+).
(i) If X2+X-6 = 0
Roots are -3 and +2.
Y2+5Y-66 = 0
Roots are -11 and +6.
Comparing the values in the below table –
X
RELATION
Y
-3
>
-11
-3
<
+6
+2
>
-11
+2
<
+6
On comparison of X and Y values, there are two relations between X and Y i.e. both > and <. So, the relation cannot be
defined.
(ii) If X2+11X-42
Roots are -14 and +3
Y2+5Y-66 = 0
Roots are -11 and +6
Comparing the values in the below table –
X
RELATION
Y
-14
<
-11
-14
<
+6
+3
>
-11
+3
<
+6
When we compared the values of X and Y in the table above, we saw that there are two relations between X and Y i.e.
both > and <. So, the relation cannot be defined.
(iii) If X2-X-6 = 0
Roots are +3 and -2
Y2-5Y-66 = 0
Roots are +11 and -6.
Let us compare the values of X and Y in below table –
X
+3
+3
-2
-2
RELATION
<
>
<
>
Y
+11
-6
+11
-6
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
344
@Crossword2022
As the table shows, there are two relations between X and Y i.e. both > and <. So, relation cannot be defined.
(iv) If X2-11X-42
Roots are +14 and -3
Y2-5Y-66 = 0
Roots are +11 and -6
We are comparing these roots of X and Y in the table below–
X
RELATION
Y
+14
>
+11
+14
>
-6
-3
<
+11
-3
>
-6
On comparing, there are two relation between X and Y i.e. both > and <. So relation cannot be defined.
Note 4: In this case, the answer will always be CANNOT BE DEFINED.
CONCLUSION:
Whenever in a question, the sign of C is negative (-) in both X and Y equation, then answer will always be CANNOT
BE DEFINED.
CASE VI:
When the result of both equations are P-type having both roots (-).
(i) If X2+5X+6 = 0
Both roots will be negative i.e. -3 and -2
Y2+17Y+66 = 0
Both roots will be negative i.e. -11 and -6
We can see that both roots of X are greater than both roots of
Y. So, X > Y.
(ii) If X2+17X+42
both roots will be negative i.e. -14 and -3.
Y2+17Y+66 = 0
both roots will be negative i.e. -11 and -6.
On comparing these values of X and Y in the table below –
X
RELATION
Y
-14
<
-11
-14
<
-6
-3
>
-11
-3
>
-6
We found that there are two relations between X and Y i.e. both > and <. So relation cannot be defined.
Note 6: When both equations have BX (-) and C(+), You have to go in detail.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
345
@Crossword2022
PRACTICE QUESTION
Directions : In each of the following questions two
equations are given. You have to solve the
equations and Give answer—
(a) if x < y (b) if x ≤ y
(c) relationship between x and y cannot be
determined
(d) if x ≥ y(e) if x > y
Q12.
I. 10x2 +53x +63 = 0
II. y2 -15y +56 = 0
Q13.
I. 𝑥 2 − 𝑥 − 12 = 0
II. 𝑦 2 + 5𝑦 + 6 = 0
Q14.
I. x2 – 4 = 0
II. y2 – 5y + 6 = 0
Q1.
I. 18x2 – 39x + 20 = 0
II.9y2 – 51y + 52 = 0
Q15.
I. 𝑥 2 − 32 = 112
Q2.
I. x2 – 34x + 285 = 0
II. y2 – 42y + 432 = 0
Q16.
I. 𝑥 − √121 = 0
II. 𝑦 2 − 121 = 0
Q3.
I. 4x2- + 6x + 2 = 0
II. y2 – 10y + 24 = 0
Q17.
I. 𝑥 2 − 16 = 0
II. 𝑦 2 − 9𝑦 + 20 = 0
Q4.
I.x2 – 8x + 15 = 0
II. y2 + 17y + 70 = 0
Q18.
I. 𝑥 2 + 13𝑥 + 42 = 0
II. 𝑦 2 + 19𝑦 + 90 = 0
Q5.
I. 6𝑥 2 − 29𝑥 + 35 = 0
II. 3𝑦 2 − 11𝑦 + 10 = 0
Q19.
I. 𝑥 2 + 15𝑥 + 56 = 0
II. 𝑦 2 − 23𝑦 + 132 = 0
Q6.
I. 2𝑥 2 − 7𝑥 + 6 = 0
II. 15𝑦 6 = 960
Q20.
I. 𝑥 2 + 7𝑥 + 12 = 0
II. 𝑦 2 + 6𝑦 + 8 = 0
Q7.
I.
Q21.
I. 𝑥 2 − 22𝑥 + 120 = 0
II. 𝑦 2 − 26𝑦 + 168 = 0
Q22.
I. 𝑥 2 + 12𝑥 + 32 = 0
II. 𝑦 2 + 17𝑦 + 72 = 0
Q23.
I. x2 – 7 √3 x + 36 = 0
II. 𝑦 2 − 11√3𝑦 + 84 = 0
Q24.
I. 𝑥 = √625
II. y = √676
Q25.
I. 2x2 + 5x – 3 = 0
II. y2 -8y + 7 = 0
4
𝑥√𝑥
2
+
12
𝑥√𝑥
II. 𝑦 − √169 = 0
= √𝑥
II. 𝑦 − 13𝑦 + 36 = 0
Q8.
I. 4𝑥 2 + 18𝑥 − 10 = 0
2
25
II. 𝑦 5 − 8 = 0
𝑦5
3
Q9.
I. √343𝑥 + √169 = 0
II. 49𝑦 2 − 182𝑦 + 169 = 0
Q10.
I. 10x2 +49x +18 = 0
II.y2 -25 = 0
Q11.
I. 10x2 +51x +27 = 0
II. y2 +2y -24 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
346
@Crossword2022
Q26.
I. 𝑥 2 − (16)2 = (23)2 − 56
II. 𝑦1/3 − 55 + 376 = (18)2
Q39.
I. 10x2 +7x -45 = 0
II. y2 +5y -50 = 0
Q27.
I. 8x2 – 18√3x + 27 = 0
II. 15y2 – 14√3y + 9 = 0
Q40.
I. 10x2 -31x -14 = 0
II. y2 +9y -136 = 0
Q28.
I.
Q41.
I. 10x2 -37x -36 = 0
II. y2 -37y +336 = 0
Q42.
I. 10x2 -49x +18 = 0
II. y2 +17y +60 = 0
II. y 2  256  625
Q43.
I. (p + q)2=3136
II.q+2513=2569
Q30.
I. 𝑥 2 + 𝑥 − 12 = 0
II.𝑦 2 − 5𝑦 + 6 = 0
Q44.
I. 10x2 -57x +54 = 0
II. y2 +2y -255 = 0
Q31.
I. 12x2 – 29x + 15 = 0
II. 54y  20 18y  33  0
Q45.
I. 10x2 -7x -45 = 0
II. y2 +4y -5 = 0
Q32.
I. 4x3 + 24x2 – 64x = 0
II. 3y2 + 39y + 126 = 0
Q46.
I.2p2+5p−12=0
II.2q2−q−1=0
Q33.
I. 2𝑥 2 − 15𝑥 + 27 = 0
II. 2𝑦 2 − 13𝑦 + 20 = 0
Q47.
I. 10x2 -9x +2 = 0
II. y2 +46y +528 = 0
Q34.
I. 9𝑥 2 − 21𝑥 + 10 = 0
II. 𝑦 2 − 8𝑦 + 15 = 0
Q48.
I. 𝑥 2 − 𝑥 − 6 = 0
II. 2𝑦 2 + 13𝑦 + 21 = 0
Q35.
I. 2𝑥 2 − 13𝑥 + 15 = 0
II. 2𝑦 2 − 11𝑦 + 12 = 0
Q49.
I. 𝑥 2 = 4
II. 𝑦 2 + 6𝑦 + 9 = 0
Q36.
I. 2𝑥 2 + 7𝑥 + 6 = 0
II. 2𝑦 2 + 17𝑦 + 30 = 0
Q50.
I. 2x + 3y = 4
II. 3x + 2y = 11
Q37.
I. 𝑥 2 − 2𝑥 − √5𝑥 + 2√5 = 0
II. 𝑦 2 − √3𝑦 − √2𝑦 + √6 = 0
Q51.
I. 𝑥 2 − 7𝑥 + 12 = 0
II. 𝑦 2 + 4𝑦 + 3 = 0
Q38.
I. 10x2 +57x +54 = 0
II. y2 +13y -30 = 0
Q52.
I. √361𝑥 + √16 = 0
II. √441𝑦 + 4 = 0
𝑋−√6
√𝑥
=0
II.𝑦 3 − 6(3/2) = 0
Q29.
4
6

5 x
I.
x
x
2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
347
@Crossword2022
Q53.
I. 3𝑥 2 − 13𝑥 + 14 = 0
II. 3𝑦 2 − 17𝑦 + 22 = 0
Q67.
I. 6x² - 7x + 2 = 0
II. 20y² - 31y + 12 = 0
Q54.
I. 2𝑥 2 + 9𝑥 + 9 = 0
II. 4𝑦 2 + 9𝑦 + 5 = 0
Q68.
I. 3x² – 11x + 10 = 0
II. 5y² – 17y + 14 = 0
Q55.
I. 𝑥 2 − 7𝑥 + 12 = 0
II. 2𝑦 2 − 19𝑦 + 44 = 0
Q69.
I. y² – 186 y + 8648 = 0
II. x² – 172x + 7396 = 0
Q56.
I. 𝑥 2 − 4𝑥 − 12 = 0
II. 𝑦 2 − 5𝑦 − 14 = 0
Q70.
I. 7x² – 24x + 20 = 0
II. 11y² – 36y + 9 = 0
Q57.
I. 3𝑥 2 − 22𝑥 + 40 = 0
II. 5𝑦 2 − 21𝑦 + 16 = 0
Q71.
I. 8y² – 44y + 20 = 0
II. 6x² – 27x + 12 = 0
Q58.
I. x2 = 361
II. y3 = 7269 + 731
Q72.
I. 3x² + 13x + 12 = 0
II. 4y² – 15y + 14 = 0
Q59.
I. 𝑥 = √625
II. y = √676
Q73.
I. x2 – 8x – 20 = 0
II. 3y2 – 60y + 297 = 0
Q60.
I. 𝑥 2 + 4𝑥 + 4 = 0
II. 𝑦 2 − 8𝑦 + 16 = 0
Q74.
I. 15x2 -13x -72 = 0
II. y2 -37y +336 = 0
Q61.
I. 𝑥 2 − (16)2 = (23)2 − 56
II. 𝑦1/3 − 55 + 376 = (18)2
Q75.
I. 15x2 -17x -18 = 0
II. y2 +14y -147 = 0
Q62.
I. 9x2 – 39x + 40 = 0
II. 9y2 – 30y + 16 = 0
Q76.
I. 15x2 -19x -10 = 0
II. y2 -5y -204 = 0
Q63.
I. 6x² + 5x + 1 = 0
II. 15y² + 8y + 1 = 0
Q77.
I. 2x² + 11x + 14 = 0
II. 2y² + 15y + 28 = 0
Q64.
I. 15x2 -11x -56 = 0
II. y2 -8y -48 = 0
Q78.
I. 𝑥 2 − 11𝑥 + 24 = 0
II. 2𝑦 2 − 9𝑦 + 9 = 0
Q65.
I. 2x² + 5x+ 3 = 0
II. y² + 9y+ 14 = 0
Q79.
I. 𝑥 2 − 3481 = 0
3
II. 3𝑦 2 = √216000
Q66.
I. 88x² – 19x + 1 = 0
II. 132y² - 23y + 1 = 0
Q80.
I. x2−5x − 14 = 0
II. y2+7y+10 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
348
@Crossword2022
Q81.
Q82.
Q83.
Q84.
Q85.
Q86.
I. 5x2+2x−3 = 0
II. 2y2+7y+6=0
I. (17)2 +144 ÷ 18 = x
II. (26)2 − 18 × 21 = y
I. 15x2 -23x -28 = 0
II. y2 -25y +100 = 0
I. 15x2 -26x +7 = 0
II. y2 +9y -322 = 0
I. 2x2 + 15x + 28 = 0
II. 2y2 + 13y + 21 = 0
I.
21 11
+ =7
x x
1
Q95.
I. (441)2 𝑥 2 − 111 = (15)2
II. √121𝑦 2 + (6)3 = 260
Q96.
I. 15x2 – 4x = 3
II 15 y2 – 13y = -2
Q97.
I. 3𝑥 2 − 13𝑥 + 14 = 0
II. 𝑦 2 − 7𝑦 + 12 = 0
Q98.
I. 5x−7y = −24
II. 13x+3y = 86
Q99.
I. x2 +x -6 = 0
II. y 2 -11y +18 = 0
II. 2y2 – 11y + 12 = 0
Q100. I. x2 -22x +40 = 0
II. y 2 -3y -130 = 0
Q87.
I. x2 +26x +153 = 0
II. y 2 +7y +12 = 0
Q101. I. x2 = 484
II. y2−45y + 506 =0
Q88.
I.𝑥 2 = 49
II.𝑦 2 − 4𝑦 − 21 = 0
Q102. I. 35x2 – 39x + 10 = 0
II. 30y2 + 2 = 17y
Q89.
I.3𝑥 2 − 13𝑥 − 10 = 0
II.3𝑦 2 + 10𝑦 − 8 = 0
Q103. I. 45x2 + 17 15x +24 = 0
II. y2 + 7y + 12 = 0
Q90.
I. x2−5x + 6 = 0
II. y2+7y+10 = 0
Q104. I. 2𝑥 2 + 3𝑥 − 20 = 0
II. 2𝑦 2 + 19𝑦 + 44 = 0
Q91.
I. 2x2 – x – 1 = 0
II. 3y2 – 28y + 32 = 0
Q105. I. x2 + 5x + 6 = 0
II. y2 – 4y – 12 = 0
Q92.
I. 𝑥 2 + 4𝑥 + 4 = 0
II. 𝑦 2 − 8𝑦 + 16 = 0
Q106. I. 8x2 – 23x + 15 = 0
II. 3y2 + 11y + 8 = 0
Q93.
I.
Q94.
15
9
1
II. 𝑦10 − (36)5 = 0
Q107. I. 2x2 – 19x + 42 = 0
II. 20y2 – 89y + 99 = 0
I. x2 – 15x + 54 = 0
II. y2 – 24y + 135 = 0
Q108. I. x2 - 11x + 24 = 0
II. 2y2 – 9y + 9 = 0
√𝑥
−
√𝑥
= (𝑥)2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
349
@Crossword2022
Q109.
I. 𝑥 3 × 13 = 𝑥 2 × 247
II. y1/3× 14 = 294 ÷ y2/3
Q110.
I.
12×4
𝑥 4/7
−
3×4
𝑥 4/7
Q123. I. x3 – 4913 = 0
II. y2 – 361 = 0
Q124. I. x2 = 361
II. y3 = 7269 + 731
= 𝑥 10/7
II. y3 + 783 = 999
Q111.
I. x² – 13x – 48 = 0
II. y² – y – 72 = 0
Q112.
I. 14𝑥 2 – 37𝑥 + 24 = 0
Q125. I. 15x2 + x – 6 = 0
II. 5y2 – 23y + 12 = 0
Q126. I. 2x² + 11x + 14 = 0
II. 2y² + 15y + 28 = 0
II. 28𝑦 2 – 53𝑦 = −24
Q127. I. x2 – 7x + 12 = 0
II. 3y2 – 11y + 10 = 0
Q113.
I. x² – 27x + 180 = 0
II. y² – 7y = 60
Q114.
I. x² – 59x + 868 = 0
II. y² – 53y + 702 = 0
Q115.
I. 100x² – 120x + 32 = 0
II. 10y² – 17y + 6 = 0
Q116.
I. 15x² – 22x + 8 = 0
II. 12y² – 5y – 2 = 0
Q117.
I. x² + 8x + 15 = 0
II. y² – 2y – 8 = 0
Q118.
I. 3𝑥 2 − 13𝑥 + 14 = 0
II. 3𝑦 2 − 17𝑦 + 22 = 0
Q119.
I. 2𝑥 2 + 9𝑥 + 9 = 0
II. 4𝑦 2 + 9𝑦 + 5 = 0
Q133. I. x2 – 8x + 15 = 0
II. y2 – 12y + 36 = 0
Q120.
I. 𝑥 2 − 7𝑥 + 12 = 0
II. 2𝑦 2 − 19𝑦 + 44 = 0
Q134. I. 143x2 + 43x – 66 = 0
II. 33y2 – 40y + 12 = 0
Q121.
I. 𝑥 2 − 4𝑥 − 12 = 0
II. 𝑦 2 − 5𝑦 − 14 = 0
Q122.
I. 3𝑥 2 − 22𝑥 + 40 = 0
II. 5𝑦 2 − 21𝑦 + 16 = 0
Q128. I. 3𝑦 2 – 13𝑦 − 38 = 0
II.5𝑥 2 + 17𝑥 − 54 = 0
Q129. I. 4𝑥+7𝑦=12
II. 5𝑥+6𝑦=16
Q130. I. 𝑥 2 − 122𝑥 + 2632 = 0
II. 𝑦 2 − 112𝑦 + 2236 = 0
Q131. I. 7𝑦 2 + 23𝑦 + 16 = 0
II. 9𝑥 2 − 27𝑥 + 14 = 0
Q132. I. 𝑥 2 + 74𝑥 − 656 = 0
II. 𝑦 2 + 68𝑦 − 444 = 0
Q135. I. x2 -30x +224 = 0
II. y 2 -4y -140 = 0
Q136. I. 56x2 + 15x – 56 = 0
II. 7y2 – 34y – 48 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
350
@Crossword2022
Q137.
Q152. I. 3x² – 16x + 21 = 0
II. 3y² – 28y + 65 = 0
I. 45x 2 + 17 15x + 24 = 0
II. y2 + 7y + 12 = 0
Q153. I. x² – 9x + 18 = 0
II. 5y² – 22y + 24 = 0
Q138. I. 3x² + 10x + 8 = 0
II. 3y² + 7y + 4 = 0
Q154. I. 6x² + 11x + 5 = 0
II. 2y² + 5y + 3 = 0
Q139. I. 2x² + 21x + 10 = 0
II. 3y² + 13y + 14 = 0
Q140. I. x² + x – 12 = 0
II. y² + 2y – 8 = 0
Q155. I. x² + 10x + 24 = 0
II. y² – √625 = 0
Q141. I. 4x² – 13x + 9 = 0
II. 3y² – 14y + 16 = 0
Q156 I. 10x² + 11x + 1 = 0
II. 15y² + 8y + 1 = 0
Q142. I. 8x² + 18x + 9 = 0
II. 4y² + 19y + 21 = 0
Q157. I.15x² – 11x + 2 = 0
II. 10y² – 9y + 2 = 0
Q143. I. 3x² + 16x + 21 = 0
II. 6y² + 17y + 12 = 0
Q158. I. √𝑥 −
√6
√𝑥
=0
3
2
II. 𝑦 3 − 6 = 0
Q144. I. 16x² + 20x + 6 = 0
II. 10y² + 38y + 24 = 0
Q159. I. 117x2 + 128x + 35 = 0
II. 39y2 – 31y – 28 = 0
Q145. I. x2 + 9x + 20 = 0
II. y2 = 16
Q160. I. 𝑥 2 + 𝑥 − 12 = 0
II. 𝑦 2 − 5𝑦 + 6 = 0
Q146. I. 72x2 – 101x + 35 = 0
II. 45y2 – 62y + 21 = 0
Q161. I. x5 – 41x3 + 400x = 0
II. y2 – 14y + 30 = −18
Q147. I. 8x² + 26x + 15 = 0
II. 4y² + 24y + 35 = 0
Q162. I. x2 – 25x + 114 = 0
II. y2 – 10y + 24 = 0
Q148. I. 6x² + 19x + 15 = 0
II. 24y² + 11y + 1 = 0
Q163. I. 𝑥 2 − 24𝑥 + 144 = 0
II. 𝑦 2 − 26𝑦 + 169 = 0
Q149. I. 2x² + 11x + 15 = 0
II. 4y² + 22y + 24 = 0
Q164. I. 2𝑥 2 + 3𝑥 − 20 = 0
II. 2𝑦 2 + 19𝑦 + 44 = 0
Q150. I. 2x² + 9x + 9 = 0
II. 2y² + 17y + 36 = 0
Q165. I. 6𝑥 2 + 77𝑥 + 121 = 0
II. 𝑦 2 + 9𝑦 − 22 = 0
Q151. I. 5x² + 29x + 20 = 0
II. 25y² + 25y + 6 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
351
@Crossword2022
Q166. I. 𝑥 2 − 6𝑥 = 7
II. 2𝑦 2 + 13𝑦 + 15 = 0
Q180. I. 2x + 3y = 5
II. 3x + 2y = 10
Q167. I. 10𝑥 2 − 7𝑥 + 1 = 0
II. 35𝑦 2 − 12𝑦 + 1 = 0
Q181. I. x² + 19x + 84 = 0
II. y² + 14y + 49 = 0
Q168. I. 5x + 9y = 109
II. 3x + 4y = 62
Q182. I. 3x² + 4x + 1 = 0
II. 2y² + 3y + 1= 0
Q169.
Q183. I. 𝑥 2 − 5𝑥 + 6 = 0
II. 𝑦 2 − 4𝑦 + 4 = 0
I. 22x 2 + 6 11x – 8 = 0
II. 3y2 + 14y – 5 = 0
Q184. I. x2 + 14x + 45 = 0
II. 2y2 + 5y – 25 = 0
Q170. I. 6x2 – 23x + 17 = 0
II. 3y2 – 19y + 30 = 0
Q185. I. 2x2 – 37x + 135 = 0
II. 2y2 – 37y – 39 = 0
Q171. I. x2 – 10x + 21 = 0
II. y2 – 8y + 15 = 0
Q186. I. x2 + 5x – 50 = 0
II. 2y2 – 11y + 15 = 0
Q172. I. x2 + 13x + 40 = 0
II. 3y2 + 23y + 30 = 0
Q187. I. 6x2 – 37x – 35 = 0
II. 54y2 + 87y + 35 = 0
Q173. I. 2x2 + 9x + 7 = 0
II. y2 + 4y + 4 = 0
Q188. I. 2x² – x – 231 = 0
II. 2y² + 43y + 231 = 0
Q174. I. 15x2 -14x -8 = 0
II. y2 +25y +100 = 0
Q189. I. 55x² – 495x + 1100 = 0
II. 5y² + 10y – 120 = 0
Q175. I. 15x2 -17x +4 = 0
II. y2 +15y +54 = 0
Q190. I. 9x² – 94.5x + 243 = 0
II. 4.5y² – 13.5y – 486 = 0
Q176. I. 15x2 -22x +8 = 0
II. y2 -18y +45 = 0
Q191. I. x² – 87x – 270 = 0
II. 7y² – 11y – 18 = 0
Q177. I. 2x² + 11x + 14 = 0
II. 2y² + 15y + 28 = 0
Q192. I. 10x2 + 13x – 77 = 0
II. 8y2 + 45y + 63 = 0
Q178. I. x² + 7x + 12 = 0
II. 4y ² = 36
Q193. I. x2 + 12x + 35 = 0
II. y2 + 9y + 20 = 0
Q179. I. 2x ² +5x + 3 = 0
II. y ² + 3x + 2 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
352
@Crossword2022
Q194. I. x2 – 19x + 88 = 0
II. y2 – 12y + 35 = 0
Q208. I. 5y² – 13y – 18 = 0
II. 11x² + 23x + 12 = 0
Q195. I. x2 – 11x + 24 = 0
II. y2 – 16y + 63 = 0
Q209. I. x⁴ – 13x² + 36 = 0
II. y² + 4y – 45 = 0
Q196. I. 2x2 – 24x + 70 = 0
II. y2 – 20y + 91 = 0
Q210. I. 6y² – 14y + 8 = 0
II. 4x² – 15x + 14 = 0
Q197. I. x3 = 73 – 127
II. y = 182 – 315
I. x 2 + 13x - 90 = 0
Q211.
II. y 3 = 983 - 767
Q198. I. x² - 14x + 48 = 0
II. 2y² - 13y + 21 = 0
Q199. I. √(x − 4)(x + 8) = 8
II. y² − 17y + 72 = 0
Q212.
I. x 2 - 19x + 88 = 0
II. y - 108 / y = 3
1
I.(x + 6)(8 - ) = 0
x
II.y 2 + 576 = 1089
Q200. I. 2x² + 17x + 36 = 0
II. 3y² + 34y + 96 = 0
Q213.
Q201. I. x²+ 2x – 15 = 0
II. y² - 10y + 24 = 0
Q214.
Q202. I. x² - x – 12 = 0
II. y² - 9y + 18 = 0
I. x4 × 612 = x6 × 17
II. y2/3 × 102 = 17× y5/3
Q215.
I. 3x² - 13x + 14 = 0
II. 2y² - 5y + 3 =0
Q203. I. 4𝑥 2 − 15𝑥 − 46 = 0
II. 6𝑦 2 + 35𝑦 + 46 = 0
Q216. I. 10x2 +63x +81 = 0
II. y2 +7y +12 = 0
Q204. I. 2𝑥 2 − 𝑥 − 10 = 0
II. 2𝑦 2 − 𝑦 − 21 = 0
Q217. I. x2 – 13x + 40 = 0
II. y2 – 21y + 110 = 0
Q205. I. 𝑥 2 − 3𝑥 − 88 = 0
II. 𝑦 2 + 8𝑦 − 48 = 0
Q218. I. 10x2 -37x -36 = 0
II. y2 +10y -144 = 0
Q206. I. 2𝑥 2 − 9𝑥 + 9 = 0
II. 𝑦 2 − 7𝑦 + 12 = 0
Q219. I. 10x2 -41x -18 = 0
II. y2 +7y -170 = 0
Q207. I. 4𝑥 2 + 19𝑥 + 22 = 0
II. 2𝑦 2 + 11𝑦 + 15 = 0
Q220. I. 10x2 -51x +27 = 0
II. y2 +21y +68 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
353
@Crossword2022
Q221. I. (p+q)2=3136
II.q+2513=2569
Q235. I. 5y² + 33y + 54 = 0
II. 7x² – 23x + 18 = 0
Q222. I. 10x2 -7x -12 = 0
II. y2 -31y +198 = 0
Q236. I. x² – 7x + 10 = 0
II. y² + 11y + 10 = 0
Q223. I.p2=49
II.q2+15q+56=0
Q237. I. x² + 28x + 192 = 0
II. y² + 16y + 48 = 0
Q224. I.2p2+5p−12 = 0
II.2q2−q −1=0
Q238. I. 2x – 3y = -3.5
II. 3x – 2y = –6.5
Q225. I. 10x2 -9x -9 = 0
II. y2 +36y +288 = 0
Q239. I. x² + 8x + 15 = 0
II. y²+ 11y + 30 = 0
Q226. I. 5x−7y = −24
II. 13x+3y=86
Q240. I. x =√3136
II. y² = 3136
Q227. I. x2−13x + 40 = 0
II. y2+3y − 40=0
Q241. I. √𝑥 −
√6
√𝑥
=0
3
2
Q228. I. 8x2−26x + 15 = 0
II. 2y2−17y+30=0
II. 𝑦 3 − 6 = 0
Q242. I. 3𝑥 − 2𝑦 = 10
II. 5𝑥 − 6𝑦 = 6
Q229. I. x2= 484
II. y2−45y+506=0
Q243. I. 𝑥 2 + 𝑥 − 12 = 0
II. 𝑦 2 − 5𝑦 + 6 = 0
Q230. I. 13x−21 = 200 − 4𝑥
Q244. I. x2 – 3 = 2x
II. y2 + 5y + 6 = 0
3
II. y= √2197
Q231. I. 3x² – 11x + 10 = 0
II. 4y² + 13y - 17 = 0
Q245. I. 48x2 – 24x + 3 = 0
II. 55y2 + 53y + 12 = 0
Q232. I. 7y² + 32y + 25 = 0
II. 2x² + 3x + 1 = 0
Q246. I. 3x + 5y = 28
II. 8x – 3y = 42
Q233. I. 4x + 7y = 10
II. 3x + 5y = 12
Q247. I. 6x² + 23x + 20 = 0
II. 6y² +31y + 35 = 0
Q234. I. x² – 56x – 512 = 0
II. y² – 64y – 576 = 0
Q248. I. 4x² - 25x + 39 = 0
II. 18y² - 15y + 3 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
354
@Crossword2022
Q249. I. x² - 72 = x
II. y² = 64
Q262. I. 𝑥 2 − 8𝑥 + 15 = 0
II. 𝑦 2 − 3𝑦 + 2 = 0
Q250. I. 30x² + 11x + 1 = 0
II. 42y² + 13y + 1 = 0
I.10x 2 +9x - 7 = 0
Q263.
II. y 2 +35y + 286 = 0
Q251. I. x2 + 10x + 24 = 0
II. 4y2 – 17y + 18 = 0
Q264.
Q252. I. x2 = 729
II. y = √729
I. x 2 -14x + 24 = 0
Q265.
II. y 2 -20y + 64 = 0
2
Q253.
I. 3x - 8x - 3 = 0
II. y 5 + 235 = 478
Q266. I. x² = 144
II. y² - 24y + 144 = 0
2
Q254.
I. x 2 -11x -102 = 0
II. y 2 +38y + 361 = 0
I. 24x + 10x + 1 = 0
II.12y 2 + 7y + 1 = 0
Q267. I. 2x² - 9x + 10 = 0
II. 2y² - 13y + 20 = 0
Q255. I. 3x2 – 20x – 32 = 0
II. 2y2 – 3y – 20 = 0
Q268. I. 2x² + 15x + 27 = 0
II. 2y² + 7y + 6 = 0
Q256. I. 3𝑥 2 − 21𝑥 + 18 = 0
II. 𝑦 2 − 13𝑦 + 42 = 0
Q269. I. 3x² - 13x + 12 = 0
II. 3y² - 13y + 14 = 0
Q257. I. 2𝑥 2 − 19𝑥 + 45 = 0
II. 6𝑦 2 − 48𝑦 + 90 = 0
Q270. I. 5x² + 8x + 3 = 0
II. 3y² + 7y + 4 = 0
Q258. I. 2𝑥 2 + 15𝑥 + 28 = 0
II. 4𝑦 2 + 18𝑦 + 14 = 0
Q271. I. 6𝑝2 + 5𝑝 + 1 = 0
II. 20𝑞 2 + 9𝑞 = −1
Q259. I. 2𝑥 2 + 18𝑥 + 40 = 0
II. 2𝑦 2 + 15𝑦 + 27 = 0
Q272. I. 3𝑝2 + 17𝑝 + 10 = 0
II. 10𝑞 2 + 9𝑞 + 2 = 0
I. x 2 + 13x + 42 = 0
Q260.
II. y 2 + y - 2 = 0
Q273. I. 𝑝2 + 24 = 10𝑝
II. 2𝑞 2 + 18 = 12𝑞
Q274. I. 5𝑝 + 2𝑞 = 96
II. 3(7𝑝 + 5𝑞) = 489
Q261. I. 𝑥 2 − 𝑥 − 12 = 0
II. 𝑦 2 + 5𝑦 + 6 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
355
@Crossword2022
Q275. I.
15
−
9
1
II. 𝑞
Q289. I. x² – 7x + 12 = 0
II. y² – 12y + 32 = 0
= 𝑝2
√𝑝
√𝑝
10
(36)5
−
=0
Q290. I. x³ – 371 = 629
II. y³ – 543 = 788
Q276. I. 10x2 +7x -45 = 0
II. y2 +20y +36 = 0
Q291. I. 9x² – 36x + 35 = 0
II. 2y² – 15y – 17 = 0
Q277. I. x2 = 30 – x
II. y2 – 13y + 40 = 0
Q292. I. 2x² – 7x + 3 = 0
II. 2y² – 7y + 6 = 0
Q278. I x² – 18x + 65 = 0
II 2y² – 17y + 35 = 0
Q293. I. 4x² + 16x + 15 = 0
II. 2y² + 3y + 1 = 0
Q279. I 7x² – 44x + 45 = 0
II y² + 15y - 100 = 0
Q294. I. 9x² – 45x + 56 = 0
II. 4y² – 17y + 18 = 0
Q280. I 3x + 7y = 18
II 9x – 2y = 8
Q295. I. 2x² + 11x + 14 = 0
II. 2y² + 15y + 28 = 0
Q281. I. 8𝑥 2 + 26𝑥 + 15 = 0
II. 4𝑦 2 + 24𝑦 + 35 = 0
Q296. I. 3x2−23x + 40=0
II. 2y2−23y+66=0
Q282. I. 𝑥 2 − 5𝑥 − 24 = 0
II. 𝑦 2 − 7𝑦 − 18 = 0
I. x 2 +34x + 288 = 0
Q283.
II. 6y 2 +5y - 21 = 0
Q297. I. x2−19x + 70=0
II. 2y2−17y+35=0
Q298. I. 2x2−(4 + √13)x + 2√13=0
Q284. I. 9𝑥 2 − 27𝑥 + 20 = 0
II. 6𝑦 2 − 5𝑦 + 1 = 0
II. 10y2−(18 + 5√13)y + 9√13=0
Q299. I. x2= 484
II. y2−45y+506=0
Q285. I. 𝑥 2 − 6𝑥 + 9 = 0
II. 𝑦 2 − 11𝑦 + 24 = 0
Q300. I. x−7√3x +36=0
Q286. I. x² + 13x = – 42
II. y² + 16y + 63 = 0
II. y−12√2y +70=0
Q301. I. x² - 241 = 243
II. y² + 44y +484 = 0
I. x 2 +47x + 552 = 0
Q287.
II. y 2 -2y -143 = 0
Q302. I. x² - 11x + 24 = 0
II. 3y² - 7y - 6 = 0
Q288. I. x² – 1 = 0
II. y² + 4y + 3 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
356
@Crossword2022
Q303. I. x³ × 17 = x² × 221
II. y2/5 × 11 = 143 ÷ y3/5
Q304. I.
15×3
𝑥 3/4
4
I. x 2 – 9 3x + 60 = 0
Q316.
− 3/4 = 𝑥 9/4
𝑥
I. x 2 + 1 =  x + 5  / 3
Q317.
II. 3y + 8 / y = -14
II. 𝑦 + 643 = 724
Q305. I. √50𝑥 − √40 = 0
II. √36𝑦 − (27)1/2 = 0
Q306.
Q307.
I. x 2 - 9x + 20 = 0
Q318.
II. 2y 2 - 16y + 24 = 0
I. 25x² + 35x + 12 = 0
II. 10y² + 9y + 2 = 0
I. x 3 = 1065 - 336
II. y 2 - y - 72 = 0
Q308.
I. 3x² - 13x – 10 = 0
II. 3y² + 10y – 8 = 0
Q309.
I. 2x² - 21x + 52 = 0
II. 2y² - 11y + 12 = 0
Q319.
Q321. I. 2x² - 7x+ 3 = 0
II. 2y² - 7y + 6 = 0
Q322. I. 4x² + 16x +15 = 0
II. 2y² + 3y + 1 = 0
Q311. I. 𝑥 5 − 122 = 121
II. 𝑦 2 − 5𝑦 + 6 = 0
Q323. I. x3 – 2744 = 0
II. y2 – 256 = 0
Q312. I. 3𝑥 2 − 8𝑥 + 4 = 0
II. 𝑦 2 − 3𝑦 + 2 = 0
Q324. I. 2x² + 11x + 14 = 0
II. 2y² + 15y + 28 = 0
3
Q313. I. √121𝑥 + √343 = 0
II. 121𝑦 2 + 154𝑦 + 49 = 0
4
625
8
I. x² - 2x + 1 = 0
II. 2y² - 6y + 4 = 0
I.15x 2 - 11x + 2 = 0
Q320.
II.5y 2 - 6y + 1 = 0
Q310. I. 88x2 – 7x – 15 = 0
II. 27y2 – 6y – 8 = 0
Q314. I. 𝑥 3 −
II. y 2 = 5 3 y
9×2
Q325. I. 6x² + 11x + 4 = 0
II. 4𝑦 2 − 7𝑦 − 2 = 0
=0
Q326. I. x2 – 29x + 210 = 0
II. y2 = 196
𝑥3
II. 2𝑦 2 − 5𝑦 − 25 = 0
Q315. I. x + 1.009 = 2.001
II. 9y² – 12y + 4 = 0
25
12
𝑥
𝑥
Q327. I. 2 −
9
4
𝑥
𝑥2
+ 2=
II. 9.84 − 2.64 = 0.95 + 𝑦 2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
357
@Crossword2022
Q328. I. √900𝑥 + √1296 = 0
(3)5 +(7)3
3
3
7
3
5
𝑥
𝑥
𝑥
II. 5y2+ 3y - 8 = 0
II. (256) 𝑦 + (216) = 0
Q329. I.
4
𝑥
Q342. I. − 2 = − 2
1
3
1
4
Q343. I. 11x2 ─26x +8= 0
= 𝑥3
II. y3 –
II. 7𝑦 = −(15 × 2) + 17𝑦 3
48
1331
=
16
1331
Q330. I. 6x² + 25x+ 24 = 0
II. 12y² + 13y + 3 = 0
Q344. I. x2 ─ 9x + 20=0
II. 2y2– 13y + 18 = 0
Q331. I. 12x² - x – 1 = 0
II. 20y² - 41y + 20 = 0
Q345. I. 4q² + 8q = 4q + 8
II. p² + 9p = 2p – 12
Q332. I. 10x² + 33x + 27 = 0
II. 5y² + 19y + 18 = 0
Q346. I. 6p² + 5p + 1 = 0
II. 20q² + 9q = -1
Q333. I. 15x² - 29x – 14 = 0
II. 6y² - 5y – 25 = 0
Q347. I. 3p² + 2p – 1 = 0
II. 2q² + 7q+ 6 = 0
Q334. I. 3x² - 22x+ 7 = 0
II. y² - 20y + 91 = 0
Q348. I. 3p² + 15p = -18
II. q² + 7q + 12 = 0
Q335. I. 2x2 – 13x + 21 = 0
II. 2y2– 9y + 10 = 0
Q349. I. p =
Q350. I. 2x2 - 13x + 21 = 0
II. 2y 2 - 9y + 10 = 0
Q337. I. 3x2 – 10x + 8 = 0
II. 2y2– 11y + 15 = 0
Q351. I. x2 – 11x + 24 = 0
II. 2y2 – 9y + 9 = 0
Q352. I. 6𝑥 2 + 41𝑥 + 63 = 0
II. 12𝑦 2 + 55𝑦 + 63 = 0
Q338. I. x2 = 25
II. y2 – 6y + 9 = 0
Q353. I. 4𝑥 2 + 11𝑥 + 6 = 0
II. 2𝑦 2 + 11𝑦 + 15 = 0
Q339. I. x2 = 10
II. y2– 9y + 20 = 0
Q354. I. 2x2 – 23x + 56 = 0
II. 4y2 – 19y + 12 = 0
Q340. I. 3x2 – 11x + 10 = 0
II. 2y2– 3y ─ 2 = 0
5
1296
7
𝑥3
√9
II. 9q² - 12q + 4 = 0
Q336. I.3x2 – 14x + 15 = 0
II. 2y2– 9y + 9 = 0
Q341. I.𝑥 3 −
√4
Q355. I. 4x + 7y = 209
II.12x – 14y = – 38
=0
II. y2 – 9y + 18 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
358
@Crossword2022
Q356. I. 17x2 + 48x = 9
II. 13y2 = 32y – 12
Q370. I. 12x² + 17x + 6= 0
II. 6y² + 5y + 1 = 0
Q357. I. 16x2 + 20x + 6 = 0
II. 10y2 + 38y + 24 = 0
Q371. I. 𝑥³ = ( √216)³
II. 6y² = 150
Q358. I. 8x2 + 6x = 5
II.12y2 – 22y + 8 = 0
Q372. I. x² – 6x = 7
II. 2y² + 13y + 15 = 0
Q359. I. 18x2 + 18x + 4 = 0
II.12y2 + 29y + 14 = 0
Q373. I. x² – (1 + √2)𝑥 + √2 = 0
II. y² – 3y + 2 = 0
Q360. I. x3 × 13 = x2 × 247
II. y1/3 × 14 = 294 ÷ y2/3
Q374. I. x² – 463 = 321
II. y² – 421 = 308
Q361. I. 𝑥 = √625
II. y = √676
Q375. I. y² + 2y – 3 = 0
II. 2x² - 7x + 6 = 0
I. x 2 - 14x + 45 = 0
Q362.
II. y 2 - 19y + 88 = 0
Q376. I. (x)² = 961
II. y =√961
3
Q377. I. 15x² – 19x + 6 = 0
II. 45y² – 47y + 12 = 0
Q363. I. 𝑥 2 − (16)2 = (23)2 − 56
II. 𝑦1/3 − 55 + 376 = (18)2
Q378. I. 2x² + 5x + 2 = 0
II. 12y² + 7y + 1 = 0
2
Q364. I. 𝑥 − 19𝑥 + 84 = 0
II. 𝑦 2 − 25𝑦 + 156 = 0
Q365.
Q379. I. 2x² - 13x + 21 = 0
II. 5y² - 22y + 21 = 0
I.4p2−16p+15=0
II.2q2+5q−7=0
Q366.
Q380. I. 8x² + 6x = 5
II. 12y² - 22y +8 = 0
I.p2−12p+35=0
II.q2−25=0
Q381. I. 3x2 + 7x + 4 = 0
II. 4y2 + 16y + 12 = 0
2
Q367. I. 𝑝 − 12𝑝 + 35 = 0
II.2𝑞 2 − 22𝑞 + 56 = 0
Q382. I. x² - 16 = 0
II. y² - 9y + 20 = 0
Q368. I. 3𝑝 + 2𝑞 − 58 = 0
II.4𝑞 + 4𝑝 = 92
Q383. I. x² - 32 = 112
II. y – √169 = 0
Q369. I. √𝑝 + 6 = √121 − √36
II.𝑞 2 + 112 = 473
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
359
@Crossword2022
Q384. I. 2x² + 11x +14 = 0
II. 4y² + 12y + 9 = 0
I. x 3 = 10 3 – 488
Q397.
II. y 3 = 19 2 - 334
Q385. I. 2𝑥 2 + 19𝑥 + 45 = 0
II. 2𝑦 2 + 11𝑦 + 12 = 0
Q398. I. 17𝑥 = (13)2 + √196 + (5)2 + 4𝑥
II. 9𝑦 − 345 = 4𝑦 − 260
Q386. I. 3𝑥 2 − 13𝑥 + 12 = 0
II. 2𝑦 2 − 15𝑦 + 28 = 0
Q399. I. 3𝑥 2 − 13𝑥 + 14 = 0
II. 𝑦 2 − 7𝑦 + 12 = 0
Q387. I. 𝑥 2 = 16
II. 2𝑦 2 − 17𝑦 + 36 = 0
Q400. I. 4𝑥 2 + 20𝑥 + 21 = 0
II. 2𝑦 2 + 17𝑦 + 35 = 0
Q388. I. 6𝑥 2 + 19𝑥 + 15 = 0
II. 3𝑦 2 + 11𝑦 + 10 = 0
Q401. I. 𝑥 2 − 14𝑥 + 48 = 0
II. 𝑦 2 + 6 = 5𝑦
Q389. I. 2𝑥 2 − 11𝑥 + 15 = 0
II. 2𝑦 2 − 11𝑦 + 14 = 0
Q390. I. √x −
√6
√x
II. y 3 − 6
Q402. I. 38𝑥 2 − 3𝑥 − 11 = 0
II. 28𝑦 2 + 32𝑦 + 9 = 0
=0
3
( )
2
Q403. I. 9𝑥 2 − 27𝑥 + 8 = 0
II. 4𝑦 2 − 13𝑦 + 3 = 0
=0
Q391. I. 36x2 + 55x + 21 = 0
II. 132y2 – 17y – 30 = 0
Q404. I. 𝑥 2 − 28𝑥 + 196 = 0
II. 𝑦 2 = 196
Q392. I. x² + x – 12 = 0
II. y² − 5y + 6 =0
Q405. I. 3x²+ 13x+ 12 = 0
II. 2y² + 15y + 27 = 0
I. x 2 – 22x + 121 = 0
Q393.
II. y 2 – 14y + 49 = 0
Q406. I. x² – 22x + 121 = 0
II. y² = 121
Q407. I. 4x² + 17x+ 15 = 0
II. 3y² + 19y + 28 = 0
Q394. I. √x + 6 = √121 − √36
II. y² + 112 = 473
Q395. I.
15
√𝑥
II. 𝑦
−
10
9
√𝑥
= (𝑥)
Q408. I. 3x² – 17x + 22 = 0
II. 5y² – 21y + 22 = 0
1
2
− (36)5 = 0
Q409. I. 3x² + 11x + 10= 0
II. 2y² – 13y+ 21 = 0
Q396. I. 5𝑥 + 2𝑦 = 96
II. 3(7𝑥 + 5𝑦) = 489
I. 6x 2 - 25x + 25 = 0
Q410.
II. 30y 2 - 32y + 8 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
360
@Crossword2022
I. 4x 2 - 20x + 21 = 0
Q411.
II. 4y 2 -10y - 6 = 0
Q422.
I. x 2 - 6x + 8 = 0
Q412.
II. y 2 - 12y + 35 = 0
I. x 2 - 16x + 63 = 0
Q423.
II. y 2 + 9y - 112 = 0
Q413. I. 3x² + 5x + 2 = 0
II. 12y² + 11y + 2 = 0
Q424. I. 3x + 7y = 30
II. 4x + 6y = 30
I. x 2 - 16x + 55 = 0
Q414.
II. y 2 -14y + 48 = 0
I. x 2 -20x + 84 = 0
Q425.
II. y 2 +y - 30 = 0
I. x + 20 / x = 9
Q415.
II. y 2 - 13y + 42 = 0
I. x 2 -5x - 36 = 0
Q426.
II. y 2 -16y + 39 = 0
Q416. I. √625𝑥 2 – 375 = 0
I. x 2 - x - 42 = 0
Q427.
II. y 2 + 4y - 32 = 0
II. √2116𝑦 – 736 = 0
Q417.
I. 5x 2 – 27x + 10 = 0
II. 25y 2 – 15y + 2 = 0
I. 8x 2 + 7x + 12 = 6x 2 + 24x + 21
II. y 3 – 24 ×12 = 212
I. x 2 - 22x + 120 = 0
Q428.
II. y 2 - 3y - 88 = 0
I. 4x 2 – 9 = 2x 2 + 7x
Q418.
II. 5y 3 + 182 = 2039
3
Q429. I. 5x = √4096
6𝑦
Q419.
II. 3
= √9
√729
I. 4x 2 + 5x – 3 = 8x 2 – 6x + 4
II. 256y 3 = 1372
3

2
II. y 
I. x 2 - 16x + 64 = 0
Q420.
II. y 2 -26y +168 = 0

Q431. I.
I. x 2 + 32 / 24 = x – 4
Q421.


Q430. I. x  8x  x x  4  12
2
y 2  5y  4 =0
x 4  8x 2  16  2x 2  4x  1
II. y 
2x
II. y 2 – 24y + 144 = 0
Q432. I. √𝑥 = 3
II. (y – 1) = 8/(y – 8)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
361
@Crossword2022
Q.447 I. x2 = 144
II. y2 – 15y = 0
Q.433. I. √x = 7
II. (y – 1) =
5
y–5
Q.448 I. x2 – 25 = 0
II. y3 = 216
Q.434 I. (x + 4)2 = 17x – 4
II. (y – 5)2 = 5 – y
Q.449 I. x2 = 324
II. y2 + 18y = 0
Q.435. I. (x + 5)2 = x + 5
II. y2 – 5y = 36
Q.450 I. x2 – 25 = 0
II. y3 = -216
Q.436 I. (x + 7)2 = x + 7
II. y2 + 3y = 10
Q.451 I. x3 = -729
II. y2 + 13y + 36 = 0
Q.437 I. (x + 4)2 = 17x - 4
II. (y - 5)2 = 5 - y
Q.452 I. x3 = -512
II. y2 + 20y + 96 = 0
Q.438 I. 3x2 = 2x2 + 13x – 40
II. 3y2 = 108
Q.453 I. x2 = 196
II. y2 + 14y = 0
Q.439 I. 15x + 8y = 130
II. 24y + 28 = 148
Q.454 I. x2 – 36 = 0
II. y3 = 343
Q.440 I. 8x + 7y = 61
II. 16y + 16 = 64
Q.441 I. 3x + 2y = 25
II. 32y = 160
I. x 2 + 12x + 32 = 0
Q.455
II. y 2 – 11y – 60 = 0
I. x 2 – 16x + 60 = 0
Q.442
II. y 2 – 13y + 40 = 0
Q.456 I. x3 = -729
II. y2 + 11y + 28 = 0
Q.443
Q.457 I. x2 +25x +100 = 0
II. y2 +21y +54 = 0
I. x2 = 144
II. y2 + 12y = 0
I. 4x 2 – 19x – 30 = 0
Q.458
II. 3y 2 + 31y + 56 = 0
Q.444 I. x2 – 25 = 0
II. y3 = 64
Q.445 I. x2 – 36 = 0
II. y3 = -216
Q.459
I. 2x – 3y = - 6
II. 3x – 2y = 31
Q.446 I. x3 = 729
II. y2 – 8y = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
362
@Crossword2022
Q.460 I. x2 + 10x + 24 = 0
II. y2 + 15y + 54 = 0
Q.474 I. 𝑥 2 − 14𝑥 + 48 = 0
II. 𝑦 2 − 17𝑦 + 72 = 0
Q.461 I. x2 – 14x = 15
II. y2 + 14y + 13 = 0
Q.475 I. 𝑥 2 + 13𝑥 + 42 = 0
II. 𝑦 2 + 15𝑦 + 56 = 0
Q.462 I. x2 -19x -66 = 0
II. y2 +20y +51 = 0
Q.476 I. 2𝑥 2 + 16𝑥 + 24 = 0
II. 6𝑦 2 + 13𝑦 + 6 = 0
Q.463 I. x2 + 5x + 6 = 0
II. 5y2 + 9y + 4 = 0
Q.477 I.4x 2 + 18x + 18 = 0
II. y 2 + 28y + 192 = 0
Q.464 I. x2 + 9x + 20 = 0
II. y2 + 13y + 42 = 0
Q.478 I. 𝑥 2 − 9𝑥 + 20 = 0
II. 2𝑦 2 − 12𝑦 + 18 = 0
Q.465 I. x2 + 21x = -108
II. y2 + 16y + 63 = 0
Q.479 I. x2 + 3x – 180 = 0
II. y2 – 27y + 182 = 0
Q.466 I. x2 – 3x = 18
II. y2 + 9y + 18 = 0
Q.480 I. x2– 27x + 162 = 0
II. y2 + 23y + 112 = 0
Q.467 I. x2 – 6x – 16 = 0
II. y2 – 17y + 72 = 0
Q.481 I. x2 – 13x – 114 = 0
II. y2 + 4y – 96 = 0
Q.468 I. x2 – x – 20 = 0
II. y2 – 12y + 35 = 0
Q.482 I. 3x + 4y = 54
II. 4x + y = 33
Q.469 I. x2 + 32x + 252 = 0
II. y2 + 38y + 360 = 0
Q.483 I. x2 – 245 = 380
II. y3 = 15625
Q.470 I. 4x2 – 39x + 56 = 0
II. y2– 22y + 96 = 0
Q.484 I. x2 + 21x + 108 = 0
II. y2 + 25y + 156 = 0
Q.471 I. 6x + 5y = 137
II. 18x – 10y = 86
Q.485 I. x2 – 2.5x + 1 = 0
II. y2 – y + 0.24 = 0
Q.472 I. x2 + 17x + 60 = 0
II. y2 – 8y – 65 = 0
Q.486 I. x² + 13x + 42 = 0
II. y² + 16y + 63 = 0
Q.473 I. x2 – 20x + 99 = 0
II. y2 – 2y – 63 = 0
Q.487 I. 2x² - 21x + 34 = 0
II. y² - 26y + 144 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
363
@Crossword2022
Q.488 I. 4𝑥 2 − 21𝑥 + 27 = 0
II. 3𝑦 2 − 19𝑦 + 28 = 0
Q.502 I. 𝑥 2 + 8𝑥 + 16 = 0
II. 𝑦 2 + 11𝑦 + 30 = 0
Q.489 I. 𝑥 2 + 16𝑥 = 26𝑥 − 21
II. 𝑦 2 − 11𝑦 + 24 = 0
Q.503 I. 𝑥 2 − 10𝑥 − 24 = 0
II. 𝑦 2 − 5𝑦 + 4 = 0
Q.490 I.
375
25𝑥
Q.504 I. 21𝑥 2 − 59𝑥 + 40 = 0
II. 9𝑦 2 − 36𝑦 + 35 = 0
= 16𝑥 + 8
II. 9𝑦 = 8𝑦 2 + 1
Q.505 I. 𝑥 2 − 15𝑥 + 56 = 0
II. 𝑦 2 − 8𝑦 + 15 = 0
Q.491 I. 8𝑥 + 12𝑦 = 84
II. 3𝑥 + 20𝑦 = 109
Q.506 I. 𝑥 3 = 729
II. 𝑦 2 − 15𝑦 + 54 = 0
Q.492 I. 24𝑥 2 − 55𝑥 + 25 = 0
II. 12𝑦 2 − 41𝑦 + 35 = 0
Q.507 I. 35𝑥 2 − 66𝑥 + 27 = 0
II. 8𝑦 2 − 23𝑦 + 14 = 0
Q.493 I. 𝑥 2 + 76𝑥 = 140𝑥
II. 𝑦 3 = 1728
Q.508 I. 𝑥 2 + 12𝑥 + 35 = 0
II. 𝑦 2 + 7𝑦 + 10 = 0
Q.494 I. x2 + 2x – 63 = 0
II. y2 - 12y + 35 = 0
Q.509 I. 𝑥 2 + 9𝑥 + 20 = 0
II. 2𝑦 2 + 5𝑦 − 12 = 0
Q.495 I. 24x2 + 7x – 6 = 0
II. 5y2 - 34y + 24 = 0
Q.510 I. 𝑥 2 + 12𝑥 + 32 = 0
II. 𝑦 2 + 6𝑦 + 9 = 0
Q.496 I. x = √441
II. y2 - 20y - 69 = 0
Q.511 I. 𝑥 2 − 𝑥 − 6 = 0
II. 𝑦 2 − 6𝑦 + 8 = 0
Q.497 I. 5x2 + 7x - 6 = 0
II. 7y2 - 32y - 15 = 0
Q.512 I. 392x2 – 288 = 0
II. 2y2 + 10y = 23y-18
Q.498 I. x2 + 16x + 48 = 0
II. y2 + 17y + 66 = 0
Q.513 I. 6𝑥 2 − 𝑥 − 1 = 0
II. 8𝑦 2 − 2𝑦 − 1 = 0
Q.499 I. 2𝑥 2 − 7𝑥 + 6 = 0
II. 3𝑦 2 − 4𝑦 − 4 = 0
Q.514 I. 𝑥 2 + 23𝑥 + 132 = 0
II. 𝑦 2 + 21𝑦 + 110 = 0
Q.500 I. 𝑥 2 = 324
II. 𝑦 = √361
Q.515 I. 3𝑥 2 + 20𝑥 + 32 = 0
II. 5𝑦 2 + 23𝑦 + 24 = 0
Q.501 I. 20𝑥 2 − 16𝑥 + 3 = 0
II. 10𝑦 2 − 17𝑦 + 6 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
364
@Crossword2022
Q.516 I. x 2 − 29x + 208 = 0
II. y 2 − 21y + 108 = 0
Q. 529 I. x² – x – 132 = 0
II. y² – 22y + 112 = 0
Q.517 I. 𝑥 2 + 30𝑥 + 224 = 0
II. 𝑦 2 + 35𝑦 + 306 = 0
Q. 530 I. x² – 8x + 15 = 0
II. y² – 2y – 3 = 0
Q.518 I. 𝑥 = √4096
II. 𝑦 2 = 256
3
Q. 531 I. x² + 5√3𝑥 + 18 = 0
II. 𝑦 2 − √3𝑦 − 18 = 0
Q.519 I. 𝑦 2 + 9𝑦 + 18 = 0
II. 𝑥 + 𝑦 = 4
Q. 532 I. 2x² – x – 3 = 0
II. 4y² – 24y + 35 = 0
I. x 3 – 16 × 4 = 9 × 31
Q.520
II. y 2 – 10y + 182 = 12 × 20 + 9y
Q. 533 I. 2x² – 7x + 6 = 0
II. 2y² – y– 1= 0
Q.521
Q.534 I. 2𝑥 2 − 17𝑥 + 36 = 0
II. 3𝑦 2 − 22𝑦 + 40 = 0
I. 5x + 4y = 54
II. 8x – 3y = 30
Q.535 I. 2𝑥 2 − 𝑥 − 3 = 0
II. 4𝑦 2 − 24𝑦 + 35 = 0
I. 5x 2 – 18x + 16 = 0
Q.522
II. 6y 2 = y + 12
Q.536 I. 2𝑥 2 − 7𝑥 + 6 = 0
II. 2𝑦 2 − 𝑦 − 1 = 0
Q.523 I. 𝑥 2 + 17𝑥 + 72 = 0
II. 𝑦 2 + 15𝑦 + 56 = 0
Q.537 I. 4𝑥 2 + 16𝑥 + 15 = 0
II. 3𝑦 2 + 4𝑦 + 1 = 0
Q.524. I 4x² – 16x + 15 = 0
II 2y² – 13y + 18 = 0
Q.538 I. 𝑥 2 + 2𝑥 − 35 = 0
II. 𝑦 2 + 3𝑦 − 10 = 0
Q.525 I. 5x² + 17x + 6 = 0
II. 7y² + 24y + 9 = 0
Q.539 I. 𝑥 2 − 12𝑥 + 35 = 0
II. 𝑦 2 − 9𝑦 + 20 = 0
Q.526 I. √289 x + √225 y = 125
Q.540 I. 5𝑥 − 3𝑦 = 3
II. 2𝑥 + 5𝑦 = 26
II. √361 x + √25 y = 15
Q.541 I. 12𝑥 2 + 59𝑥 + 72 = 0
II. 4𝑦 2 + 17𝑦 + 18 = 0
Q.527 I. 15x² – 4x – 35 = 0
II. 9y² – 43y – 10 = 0
Q.542 I. 5𝑥 2 − 27𝑥 + 28 = 0
II. 25𝑦 2 − 65𝑦 + 42 = 0
Q.528 I. 13x² – 64x – 5 = 0
II. 11y² – 31y – 6 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
365
@Crossword2022
Q.543 I. 𝑥 2 − 3𝑥 − 18 = 0
II. 𝑦 2 + 7𝑦 + 12 = 0
Q.557 I. x² +18x + 77 = 0
II. y² + 18y + 72 = 0
Q.544 I. 𝑥 2 + 8𝑥 + 12 = 0
II. 2𝑦 2 + 14𝑦 + 24 = 0
Q.558 I. 2x² + x – 15 = 0
II. 9y² + 9y – 10 = 0
Q.545 I. 𝑥 2 − 𝑥 − 30 = 0
II. 𝑦 2 − 15𝑦 + 56 = 0
Q.559 I. 3x2 + 17x + 20 = 0
II. 5y2 + 33y + 18 = 0
Q.546 I. 𝑥 2 + 31𝑥 + 150 = 0
II. 𝑦 2 + 54𝑦 + 728 = 0
Q.560
I. 7x2 + 17x – 12 = 0
II. 7y2 – 62y + 48 = 0
Q.547 I. 𝑥 2 = 256
Q.561
I. x2 – 54x + 728 = 0
II. y2 – 52y + 676 = 0
Q.548 I. 𝑥 2 − 45𝑥 + 506 = 0
II. 𝑦 2 − 9𝑦 − 360 = 0
Q.562
I. x2 – 44x + 459 = 0
II. y2 – 31y + 238 = 0
Q.549 I. 5x2 + 10x = 315
II. 2y2 + 16y = 3y2 + 64
Q.563
I. x – 23√𝑥 + 132 = 0
Q.550 I. 𝑥 2 + 21𝑥 + 108 = 0
II. 𝑦 2 + 14𝑦 + 48 = 0
Q.564
I. 𝑥 2 – 17x + 70 = 0
II. 𝑦 2 + 10y – 119 = 0
Q.551 I. 2𝑥 2 + 7𝑥 − 60 = 0
II. 3𝑦 2 − 28𝑦 + 64 = 0
Q.565
I. 𝑥 2 + 35x + 300 = 0
II. 𝑦 2 + 20y + 99 = 0
Q.552. I. 𝑥 2 − 2𝑥 − 24 = 0
II. 𝑦 2 + 3𝑦 − 40 = 0
Q.566
I. 𝑥 2 – 11x + 28 = 0
II. 𝑦 2 – 11y + 30 = 0
Q.553 I. 4𝑥 2 + 27𝑥 + 45 = 0
II. 5𝑦 2 + 42𝑦 + 88 = 0
Q.567
I. x 2 + 24x = −119
II. 3y 2 + 7 = −10y
Q.554 I. 𝑥 2 − 218 = 358
II. 𝑦 3 − 804 = 1393
Q.568
I. (x + y)2 = 361
II. 92442 = y 2 + 92361
Q.555 I. 3𝑥 2 + 11𝑥 + 6 = 0
II. 6𝑦 2 + 5𝑦 + 1 = 0
Q.569
I. √x + 4 = √225 − √121
II. y 2 + 329 = 473
Q.556 I. 3x² + 10x + 7 = 0
II. 3y² + 4y + 1 = 0
Q.570
I. 223x + 122y = 791
II. 𝑦 = √256
II. y – 25√𝑦 + 156 = 0
II. 122x + 223y = 589
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
366
@Crossword2022
I. 7x 2 − 44x + 69 = 0
II. 3y − 40y + 133 = 0
Q.585 I. x2 – 33x + 270 = 0
II. y2 – 20y + 96 = 0
I. 8x²–10x+3=0
II.5y²+14y–3=0
Q.586 I. x2 – 19x + 84 = 0
II. y2 – 36y + 320 = 0
Q. 573 I. 3x²+13x+12=0
II.y²+9y+20=0
Q.587 I. x2 +19x +88 = 0
II. y2 +25y +154 = 0
Q. 574 I. x²–4x–5=0
I. 7y²–25y–12=0
Q.588 I. x2 -169 = 0
II. y2 -35y +286 = 0
Q. 575 I. x³=216
II. 2y²–25y+78=0
Q.589 I. x2 +13x +36 = 0
II. y2 -4y -252 = 0
Q. 576 I. 5x² + 31x + 48 = 0
II. 3y² + 27y + 42 = 0
Q.590 I. x2 +20x -21 = 0
II. y2 -20y +84 = 0
Q.577
Q. 591 I. 𝑥 2 − 25𝑥 + 156 = 0
II. y 2 − 21y + 108 = 0
Q.571
2
Q.572
I. 6x² + 17x + 5 = 0
II. 2y² + 21y + 49 = 0
Q.578 I. x² - 8x + 15 =0
II. 2y² - 5y - 3 = 0
Q. 592 I. 3x + 5y = 18
II. 7x + 8y = 42
Q.579 I. 5x² + 11x + 2 = 0
II. 4y² + 13y + 3 = 0
Q. 593 I. 2𝑥 2 + 15x + 27 = 0
II. 3𝑦 2 + 25y – 18 = 0
Q.580 I. 4x + 2y = 4
II. 3x + 5y = 3
Q. 594 I. 6x2 + 29x + 35 =0
II. 20y2 + 27y + 9 =0
Q.581 I. 6x² + x- 15 =0
II. 4y² - 24y + 35 = 0
Q. 595 I. x2 – 7x – 30 = 0
II. y² + 15y + 50 = 0
Q.582 I. 𝑥 2 – 38x + 360 = 0
II. 𝑦 2 – 30y + 216 = 0
Q.596 I. x² – 5x + 4 = 0
II. y² + 3y + 2 = 0
Q.583 I. 𝑥 2 + x – 72 = 0
II. 𝑦 2 – 23y + 120 = 0
Q.597 I. 6x² – 5x + 1 = 0
II. 15y² – 8y + 1 = 0
Q.584 I. x2 – 31x + 240 = 0
II. y2 – 16y – 105 = 0
Q.598 I. x² + 5x + 4 = 0
II. y² – 5y = 14
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
367
@Crossword2022
Q.599 I. x² + 9x + 20 = 0
II. y² + 4y+ 3 = 0
Q.613 I. 28x² + 33x + 9 = 0
II. 25y² + 50y + 24 = 0
Q.600 I. x² - 6x + 8 = 0
II. y² + 2y = 8
Q. 614 I. 16x2 - 16x + 3 = 0
II. 2y2 - y - 3 = 0
Q. 601 I. x² – 35x + 306 = 0
II. y² – 33y + 272 = 0
Q. 615 I. 2x2 - 7x + 5 = 0
3
II. y = √8
Q. 602 I. x2 + 12x + 32 = 0
II. y2 – 11y – 60 = 0
Q. 616 I. x2 - 11x + 10 = 0
II. y2 - 5y + 6 = 0
𝑥
Q. 603 I. (16)0.25 = √64
II. y² = 256
Q. 617 I. 3x2 + 7x - 20 = 0
II. 6y2 - y - 15 = 0
Q.604 I. 3x² – 25x + 48 = 0
II. 4y² – 24y + 32 = 0
Q.618 I. 3x² – 22x + 40 = 0
II. 2y² – 17y + 36 = 0
Q.605 I. 2x² – 19x + 42 = 0
II. 5y² – 41y + 80 = 0
Q.619 I. 5x² + 7x – 90 = 0
II. 3y² + 28y + 64 = 0
Q.606 I. 7x² – 23x + 18 = 0
II. 4y² – 9y + 5 = 0
Q.620 I. x² – 14x + 48 = 0
II. 2y² – 19y + 45 = 0
Q.607 I. 10x² - 11x – 6 = 0
II. y² + 5y + 6 = 0
Q.621 I. 2x² + 13x + 20 = 0
II. 3y² + 26y + 56 = 0
Q.608 I. 13x² – 29x + 16 = 0
II. 6y² – 11y + 5 = 0
Q.622 I. 15x² + 11x + 2 = 0
II. 24y² + 11y + 1 = 0
Q.609 I. x = √169
Q.623 I. x² – 30x + 221 = 0
II. y² – 17y + 60 = 0
2
II. (𝑦 – 1) = 144
Q.624 I. x² + 6x + 8 = 0
II. 8y² + 22y + 15 = 0
Q.610 I. 2x² - 9x + 9 = 0
II.6y² - 17y + 12 = 0
Q.625 I. x² – 20x + 96 = 0
II. y² – 15y + 56 = 0
Q.611 I. 7y + 3x = 27
II. 9y + 7x = 53
Q.626 I. x² = (33)² – 62 × 4
II. y² + 62y + 957 = 0
Q.612 I. 3x² + 5x – 112 = 0
II. 2y² + 19y + 42 =0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
368
@Crossword2022
Q.627 I. 3x² – 45x + 168= 0
II. 3y² – 39y + 126 = 0
I. x 3 = 12 3 – 728
Q.640
II. y 3 = 252 - 282
Q.628 I. 36x² + 12x - 8= 0
II. 45y² + 51y + 12 = 0
I. x 2 + 5x – 104 = 0
Q.641
II. y 2 – 20y + 96 = 0
Q.629 I. x² – 40x + 336= 0
II. y²– 60y + 896 = 0
I. x 2 – 36 = 8  x – 6 
Q.642
II. y 3 – 999 = 729
Q.630 I. x² – 721 = 800
II. y = √1521
Q.643
Q.631 I. 16x – 15y = 22
II. 2x – 5y = 4
Q.644 I. x² – 12x + 32 = 0
II. y² – 20y + 96 = 0
Q.632 I. 4x² – 7x – 15 = 0
II. 33y = –(9y² + 18)
Q.633 I. 𝑥 +
3
2𝑥
=
I. x 2  121
II. y 3  729
Q.645 I. 2x² – 3x – 20 = 0
II. 2y² + 11y + 15 = 0
5
2
II. 𝑦 2 = 9
Q.646 I. x² – x – 6 = 0
II. y² – 6y + 8 = 0
Q.634 I. 𝑥 = √289
II. 𝑦 2 – 34𝑦 + 97 =– 192
Q.647 I. x² + 14x - 32 = 0
II. y² – y – 12 = 0
Q.635 I. 2𝑥 2 + 20𝑥 =– 50
II. 𝑦 2 = 25
Q.648 I. x² – 9x + 20 = 0
II. 2y² – 12y + 18 = 0
Q.636 I. x2 + 25x + 156 = 0
II. y2 + 28y + 195 = 0
Q.649 I. 14x − 25 = 59 − 7x
II. √y + 222 − √36 = √81
Q.637 I. x2 + 7x – 198 = 0
II. y2 + 38y + 361 = 0
Q.650 I. 5x2 – 29x + 36 = 0
II. 10y2 – 3y – 27 =0
Q.638 I. x2 – 31x + 228 = 0
II. y2 – 30y + 224 = 0
Q.651 I. √x −
Q.639
I. √625𝑥 2 – 375 = 0
√6
=0
√x
(3⁄2)
II. y 3 − 6
=0
II. √2116𝑦 – 736 = 0
Q.652 I. 3x2+5x−8=0
II. y2−4y +3=0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
369
@Crossword2022
Q.653 I. x 2 + y 2 = 3341
II. x 2 − y 2 = 891
II. 4y² – 12y – 27 = 0
Q.654 I. x 2 − 7x + 12 = 0
II. y 2 − 8y + 12 = 0
Q.669 I. 2𝑥 + 3𝑦 = 14
Q.655 I. 2x 2 + x − 28 = 0
II. 2y 2 − 23y + 56 = 0
Q.670 I. 2x² + 11x – 195 = 0
II. 3y² + 10y – 125 = 0
Q.656 I. 2x 2 − 7x − 60 = 0
II. 3y 2 + 13y + 4 = 0
Q.671 I. 𝑥 2 − 31𝑥 + 240 = 0
II. y 2 − 27y + 180 = 0
Q.657 I. 6x² + x – 15 = 0
II. 4y² - 24y + 35 = 0
Q.672 I. 3𝑥 2 − 28𝑥 + 65 = 0
Q.658 I. 5x² + 11x + 2 = 0
II. 6y² + 11y + 4 = 0
Q.673 I. 𝑥 2 + 30𝑥 + 209 = 0
II. y 2 + 36y + 320 = 0
Q.659 I. 2x² - 23x + 56 = 0
II. 3y² - 14y + 15 = 0
Q.674 I. x 2 = 169
II. y 3 = 2197
II. 4𝑥 + 2𝑦 = 16
II. 5y 2 − 32y + 48 = 0
Q.660 I. 7x + 2y = 12
II. 4x + 3y = 5
Q.675 I. 4x 2 + 35x + 75 = 0
II. 6y 2 + 78y + 252 = 0
Q.661 I. x² + 13x + 40 = 0
II. y² + 17y + 72 = 0
Q.676 I. 2x² + 11x + 15 = 0
II. 2y² + 15y + 27 = 0
Q 663 I. 8x² + 18x – 11 = 0
II. 4y² + 17y + 15 = 0
Q.677 I. x² - 40x + 384 = 0
II. y² - 25y + 150 = 0
Q.664 I. 3x² – 32x + 64 = 0
II. y² – 17y + 72 = 0
Q.678 I. 3x² - 10x – 125 = 0
II. y² - 21y + 108 = 0
Q.665 I. 2x² + 8x – 24 = 0
II. y² + 13y + 42 = 0
Q.679 I. 5x² + 33x + 54 = 0
II. 3y² + 22y + 35 = 0
Q.666 I. 2x² – 15x + 22 = 0
II. 3y² – 21y + 18 = 0
Q.680 I. 2x + 7y = 13
II. 6x +y = 219
Q.667 I. x² – 30x + 144 = 0
II. y² – 50y + 624 = 0
Q.681 I. 4x² + 14x – 18 = 0
II. y² + 12y + 35 = 0
Q.668 I. 2x² – 25x + 72 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
370
@Crossword2022
Q.682 I. 4x² + 17x - 42 = 0
II. y² + 21y + 90 = 0
Q.696 I.(𝑥 − 7)2 = 3𝑥 − 23
II. 𝑦 2 − 21𝑦 + 108 = 0
Q. 683 I. x² - 24x + 128 = 0
II.y² - 34y + 288 = 0
Q.697 I. 𝑥 3 = 2744
II. (𝑦 − 10)2 = 7𝑦 − 80
Q. 684 I. 8x² – 30x + 28 = 0
II. 5y² – 8y + 3 = 0
Q.698 I. (𝑥 + 25)2 = 729
II. 3𝑦 2 − 20𝑦 + 32 = 0
Q.685 I. 9𝑥 2 − 15𝑥 + 6 = 0
Q.699 I. 3𝑥 2 − 26𝑥 + 35 = 0
II. 8𝑦 2 − 26𝑦 + 21 = 0
II. 12𝑦 2 + 20𝑦– 8 = 0
Q.700 I. 3𝑥 2 − 17𝑥 + 10 = 0
II. 16𝑦 2 − 14𝑦 + 3 = 0
Q.686 I. 3x² + 5x + 2 = 0
II. 6y² – y = 2
Q.701 I. 𝑥 2 + 9𝑥 − 22 = 0
II. 2y 2 − 7y + 6 = 0
3
Q.687 I. 2𝑥 − = 5
𝑥
II. y² – 8y + 15 = 0
Q702. I. x2 – 13 √2 x + 60 = 0,
II. y2 + 3√5 y – 20 = 0
Q.688 I. √2𝑥 + 9 + 𝑥 = 13
II. y² = 16
Q.703 I. 2𝑦 2 − 13𝑦 − 34 = 0
II. 3x 2 − 11x − 20 = 0
Q.689 I.√7𝑥 2 − 6𝑥 − 13√7 = 0
II.y² – 9y – 36 = 0
Q.704 I. x2 – 31x + 184 = 0
II. y2 – 49y + 600 = 0
Q.690 I.x² – 11x + 30 = 0
II.y² – 7y + 10 = 0
Q.705 I. 𝑥 2 + 4𝑥 − 12 = 0
II 2y 2 + 7y + 6 = 0
Q.691 I. 3x² – 19x + 28 = 0
II. 4y² –19y + 21 = 0
Q.706 I. 2𝑥 + 3𝑦 = 4
II. 4x + 5y = 6
Q.692 I. 3x + 4y = 2
II. 6x + 2y = 2.5
Q.707 I. 35𝑥 2 − 12𝑥 + 1 = 0
II. 20𝑦 2 − 14𝑦 + 2 = 0
Q.693 I. 8x + 7y =– 60
II. 7x – 5y = –8
Q.708 I. 4𝑥 2 + 19𝑥 + 22 = 0
II. 6𝑦 2 + 20𝑦 + 16 = 0
Q.694 I. 12x² – 41x + 35 = 0
II. 3y + 25y = 49
Q.709 I. 3𝑥 2 − 7𝑥 + 2 = 0
II. 4𝑦 2 − 29𝑦 + 45 = 0
Q.695 I. 𝑥 2 + 16𝑥 + 63 = 0
II. 𝑦 2 + 8𝑦 + 15 = 0
Q.710 I. 2𝑥 2 − 17𝑥 + 36 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
371
@Crossword2022
II. 3𝑦 2 + 34𝑦 + 96 = 0
II. 𝑦 (𝑦 − 2) = 2(2 − 𝑦)
Q.711 I. 5𝑥 2 − 10 = 7𝑥 + 3𝑥 2 + 5
II. 6𝑦 2 + 10𝑦 = 27𝑦 − 7
Q.725 I. 𝑥 2 + 6𝑥 + 8 = 0
II. 𝑦 2 + 10𝑦 + 24 = 0
Q.712 I. 𝑥 4 = 256
Q.726 I. 49𝑥 2 + 140𝑥 + 75 = 0
II. 3𝑦 2 + 10𝑦 + 8 = 0
3
II. 𝑦 = √64
Q.713 I. 𝑥 2 + 23𝑥 + 132 = 0
II. 𝑦 2 + 17𝑦 + 66 = 0
Q.727 I. 2x2 – 12x + 16 = 0
II. y2 – 7y + 12 = 0
Q.714 I. 𝑥 2 − 13𝑥 + 42 = 0
II. 𝑦 2 − 15𝑦 + 56 = 0
Q.728 I. 𝑥 2 − 9𝑥 − 10 = 0
II. 𝑦 2 − 4𝑦 − 5 = 0
Q.715 I. 𝑥 2 = 121
II. 𝑦 2 + 2𝑦 − 143 = 0
Q.729 I. 𝑥 2 + 7𝑥 + 10 = 0
II. 𝑦 2 − 3𝑦 − 4 = 0
Q.716 I. 𝑥 2 − 20𝑥 + 96 = 0
II. 𝑦 2 − 28𝑦 + 192 = 0
Q.730 I. 𝑥 3 = 1728
II. 𝑦 2 + 256 = 400
Q.717 I. 5x – 60 = 4y
II. 7x + 2y = 160
Q.731 I. 4𝑥 + 5𝑦 = 3
II. (𝑦 − 4)2 = 0
Q.718 I. 15x2 + 40 = 125x
II. y2 = 64
Q.732 I. x2 = 36
II. y3 = 125
Q.719 I. x2 + 9x + 20 = 0
II. 2y2 + 13y + 15 = 0
Q.733 I. 7x + 6y = 156
II. 12x - 14y = -24
Q.720 I. 4x2 -17x + 15 = 0
II. 8y3 = 512
Q.734 I. 8x2 - 121 = √961
II. 22y - 565 = 4y - 331
Q.721 I. 3x2 + 33x = 180
II. 4y2 + 9y = 5y2 + 20
Q.735 I. x2 = x + 12
II. y2 + 7y + 12 = 0
Q.722 I. 4𝑥 2 − 13𝑥 + 10 = 0
II. 4𝑦 2 − 21𝑦 + 27 = 0
Q.736 I. x2 + 5x + 6 = 0
II. 4y2 + 5y - 6 = 0
Q.723 I. 𝑥 2 + 15𝑥 + 56 = 0
II. y 2 + 12y + 32 = 0
Q.737 I. 5𝑥 2 - 32x + 48 = 0
II. 5𝑦 2 - 16y + 12 = 0
Q.724 I. 3𝑥 2 + 20𝑥 + 32 = 0
Q.738 I. 2𝑥 2 + 9√5x + 50 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
372
@Crossword2022
Q.752 I. 𝑥 2 − 14𝑥 + 48 = 0
II. 2𝑦 2 − 19𝑦 + 45 = 0
II. 3y 2 − 13√2y + 24 = 0
Q.739 I. 𝑥 2 = 169
II. y 2 - 30y + 221 = 0
Q.753 I. 6𝑥 2 + 25𝑥 + 25 = 0
II. 6𝑦 2 + 37𝑦 + 56 = 0
Q.740 I. 3𝑥 2 + 34x – 165 = 0
II. 2y 2 – 27y + 81 = 0
Q.754 I. 6𝑥 2 − 23𝑥 + 22 = 0
II. 5𝑦 2 − 24𝑦 + 28 = 0
Q.741 I. 104𝑥 2 – 51x – 35 = 0
II. 88y2 + 27y – 91 = 0
Q.755 I. 14𝑥 2 + 39𝑥 + 27 = 0
II. 5𝑦 2 + 17𝑦 + 14 = 0
Q.742 I. 2𝑥 2 – x – 10 = 0
II. 2𝑦 2 – y – 21 = 0
Q.756 I. 𝑥 3 = 3375
II. 𝑥 + 𝑦 + 𝑥𝑦 = 207
Q.743 I. 4𝑥 2 + 3x - 27 = 0
II. 3𝑦 2 – 20y + 32 = 0
Q.757 I. 2𝑥 2 + 10𝑥 + 12 = 0
II. 𝑦 2 + 10𝑥 + 25 = 0
Q.744 I. 𝑥 2 – 19x + 84 = 0
II. y2 – 25y + 156 = 0
Q.758 I. 𝑥 2 − 5𝑥 + 6 = 0
II. 𝑦 2 + 7𝑦 + 6 = 0
Q.745 I. 2x – 5y = 30
II. 3x – 4y = 17
Q.759 I. 𝑥 2 = 625
Q.746 I. 4x2 + 20x = 96
II. 3y3 = 192
Q.760 I. 2𝑥 − 3𝑦 = 0
II. 4𝑥 − 2𝑦 = 16
I. x 2 + 33x + 270 = 0
Q.747
II. y 2 + 36y + 320 = 0
Q.761 I 𝑥 3 = 1331
II. 𝑦 = √625
3
II. 𝑦 = √1331
Q.762 I. x2 + 28x + 195 = 0
II. y2 + 23y + 132 = 0
Q.748 I. y2 – 15y + 56 = 0
II. x2 – 21x = -108
Q.749 I. 𝑥 2 − 26𝑥 + 168 = 0
II. y 2 − 29y + 208 = 0
I.16x 2 + 42 + 8x = 46x + 21
Q.763
II.125y 3 = 37.5% of 4608
Q.750 I. x2 – 16x + 60 = 0
II. y2 – 13y + 40 = 0
Q.764 I. x2 – 5√5x + 30 = 0
II. x2 – 8√5x + 75 = 0
Q.751 I. 𝑥 2 + 48𝑥 + 575 = 0
II. 𝑦 2 + 44𝑦 + 483 = 0
Q.765 I. x2– 36x + 308 = 0
II. y2– 38y + 360 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
373
@Crossword2022
Q. 780 I. 3x² + 5x + 2 = 0
II. 12y² + 11y + 2 = 0
Q.766 I. x– 9√𝑥 + 20 = 0
II. y – 13√𝑦 + 42 = 0
I. x 3 = 83 – 387
Q. 781
II. y = 19 2 - 353
Q.767 I. 𝑥 2 − 25𝑥 + 156 = 0
II. 𝑦 2 − 29𝑦 + 210 = 0
Q.768 I. 𝑥 2 = 196
I. x 2 + 19x + 88 = 0
Q. 782
II. y 2 + 24y + 143 = 0
II. 𝑦 = √196
Q.769 I. 𝑥 2 + 12𝑥 + 35 = 0
II. 𝑦 2 + 14𝑦 + 48 = 0
𝐐. 𝟕𝟖𝟑 I. √625𝑥 2 – 375 = 0
II. √2116𝑦 – 736 = 0
Q.770 I. x3 = -512
II. y2 + 16y + 63 = 0
I. x 2 + 8x – 105 = 0
Q.784
II. y 2 – 4y – 117 = 0
Q.771 I. 𝑥 2 + 17𝑥 + 72 = 0
II. 𝑦 2 + 13𝑦 + 42 = 0
Q.772 I. x2-22x+ 120 = 0
II. y2-3y - 88 = 0
I. 5x 2 – 12 2 = 1136
Q.785
II. 9y 3 + 83 = 2456
Q.773 I. x3- 2197 = 0
II. y2-121 = 0
I. x 2 + 3x – 54 = 0
Q.786
II. y 2 + 7y – 60 = 0
Q.774 I . x2 – 11𝑥 + 30 = 0
II . y2 − 14𝑦 + 48 = 0
I. x 3 – 361 = 4 3 + 42
Q. 787
II. y 2 = 169
Q.775 I. 𝑥 2 + 13𝑥 + 42 = 0
II. 𝑦 2 + 8𝑦 + 12 = 0
Q.776 I. 5x2 + 120 = 4x2 + 20% of 725
II. 4.5y = 27
I. x 2 - 17x + 60 = 0
Q.788
II. y 2 - 14y + 48 = 0
Q. 777 I. x² – 5x + 6 = 0
II. y² – 14y + 45 = 0
I. x² + 9x + 18 = 0
Q.789
II. x + y = 4
Q. 778 I. x² – 4x – 21 = 0
II. y² – 10y + 16 = 0
Q. 779 I. x² – 14x + 45 = 0
II. 2y² – 9y – 5 = 0
Q.790 I. 3x² = 125 – 2x²
II. y² + 12y + 32 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
374
@Crossword2022
Q.803 I. x2 – 13x = -40
II. y2 – 21y + 104 = 0
I. 35x 2 + 120 = 145x
Q.791
II.1875y 2 = 432
5
12
𝑥
𝑥
Q.792 I. – 2 =
Q.804 I. 44𝑥 2 − 79𝑥 + 30 = 0
II. 15𝑦 2 − 59𝑦 + 56 = 0
1
2
20
13
𝑦
𝑦
II. 2 + 2 =
Q. 805 I. 33𝑥 2 − 49𝑥 + 18 = 0
II. 55𝑦 2 − 32𝑦 − 63 = 0
I. x 2 -21x + 68 = 0
Q. 793
II. y 2 +6y - 40 = 0
Q.806 I. 81𝑥 2 − 162𝑥 + 77 = 0
II. 27𝑦 2 − 78𝑦 + 55 = 0
Q.807 I. 56𝑥 2 + 137𝑥 + 77 = 0
II. 56𝑦 2 + 235𝑦 + 231 = 0
I. x 3 - 2197 = 0
Q.794
II. y 2 -121 = 0
Q.808 I. x3 = -125
II. y2 + 16y + 63 = 0
1
Q.795 I. 2𝑥 4 × (𝑥 4)0.5 + 10𝑥– 72 = 0
II. 5𝑦 2 + 14𝑦 − 96 = 0
Q.809 I. (x + 5)2 = 3x + 13
II. (y + 4)2 = -(4 + y)
Q.796 I. 2x + 3y = 40
II. 3x + 4y = 56
Q.810 I. 37𝑥 2 – 49x – 186 = 0
II. 60𝑦 2 – 326y – 22 = 0
Q.797 I. 𝑥 3 + 8𝑥 2 = 𝑥(𝑥 2 + 4) + 12
Q.811 I. 798𝑥 2 + 257x + 20 = 0
II. 1176𝑦 2 + 406y + 35 = 0
II. 𝑦 = √𝑦 2 + 5𝑦 + 4
Q.798 I. √𝑥 4 + 8𝑥 2 + 16 = 2𝑥 2 + 4𝑥 − 1
II. 𝑦 = √2𝑥
Q.812 I. 𝑥 3 – 14 – 1714 = 0
II. 3𝑦 2 – 63 – 300 = 0
Q.799 I. 679𝑥 2 − 168𝑥 2 = 3066
Q.813 I. x 2 –
100x
= 0
100y
II. − y 2 –
= 0
3
II. √144𝑦 3 − 9𝑦 3 = 1536
Q.800 I. 𝑥 2 + 2𝑥– 675 = 0
II. 𝑦 2 + 6𝑦– 567 = 0
Q.814 I. x 2 –
3
x
= 0
1
II. y 3 =
8
Q.801 I. x2 –31x + 234 = 0
II.𝑦 2 – 34y + 285 = 0
2
Q.815 I. 2x2 – 29x + 39 = 0
II. y2 – 24y + 119 = 0
Q.802 I. x² – 44x + 448 = 0
II. y² – 28y + 195 = 0
Q.816 I. x2 - 39x + 378 = 0
II. y2 - 37y + 340 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
375
@Crossword2022
I. x 3 = 133 – 866
Q.829
II. y 3 = 431 + 9 2
Q.817 I. 4x2 – 11√7x + 49 = 0
II. y2 – 4y√17 + 68 = 0
Q830. I. 679x 168x  3066
2
I. x 2 - 15x + 44 = 0
Q.818
II. y 2 - 21y + 104 = 0
II.
144y3  9y 3  1536
Q831. I. 𝑥 2 + 2𝑥– 675 = 0
II. 𝑦 2 + 6𝑦– 567 = 0
2
Q.819
2
I. 6x - 19x + 15 = 0
II. 8y 2 + 21 - 26y = 0
Q832. I. 5x² + 663x + 396 = 0
II. y² + 44y + 483 = 0
I.15x 2 – 26x + 8 = 0
Q.820
II.15y 2 + 2y – 1 = 0
Q833. I. 44𝑥 2 − 79𝑥 + 30 = 0
II. 15𝑦 2 − 59𝑦 + 56 = 0
I. x = 576
II. y 3 = 2197
Q834. I. 33𝑥 2 − 49𝑥 + 18 = 0
II. 55𝑦 2 − 32𝑦 − 63 = 0
Q.822 I. √625𝑥 2 – 375 = 0
Q835. I. 81𝑥 2 − 162𝑥 + 77 = 0
II. 27𝑦 2 − 78𝑦 + 55 = 0
Q.821
II. √2116𝑦 – 736 = 0
Q.836. I. 56𝑥 2 + 137𝑥 + 77 = 0
II.56𝑦 2 + 235𝑦 + 231 = 0
I. x 2 = 31x + 516
Q.823
II. y 3 = 1728
Q.824 I.
20
= 3+
𝑥²
32
II.
y²
Q837. I. 36x2 – 216x + 288 = 0
II. 156y2 – 1092y + 1560 = 0
4
𝑥
y
Q838. I. 13x2 – 55x – 252 = 0
II. 148y2 + 61y – 155 = 0
20
13
Q839. I. 3x + 5y = 50
II. 32y = 224
y
y
+1=
5
12
1
𝑥
𝑥
2
Q.825 I. – 2 =
II. 2 + 2 =
12
Q840. I. (x + 7)2 = x + 7
II. y2 – 4y = 45
Q.826 I. (2x – 5)² = 9
II. (3y + 4)² = 25
Q.827 I. 3
II.
2𝑥+4
y2 +18
y
=9
3𝑥+4
. 27
Q841. I. x2 + 6x – 16 = 0
II. y2 + y – 30 = 0
(𝑥+1)
=9
Q842. I. x2 + 15x + 54 = 0
II. y2 + 20y + 99 = 0
Q.828 I. 9x2 = 8x2 + 12x – 35
II. 3y2 = 192
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
376
@Crossword2022
Q.847 If x2 +3x 6 < 0 and 3y2 + 16 + 18 < 0, and x and y
are integers,
Quantity I – Value of x
Quantity II – Value of y
A. Quantity II < Quantity I
B. Quantity II > Quantity I
C. Quantity II ≤ Quantity I
D. Quantity II ≥ Quantity I
E. Quantity II = Quantity I or no relation
I. x 2 – 25 = 0
Q843.
II. y 3 = 216
Direction:
In these questions two quantity numbered I
and II are given. You have to solve both the
equations and mark the appropriate option.
Given answer1
Q 848 If 2𝑥 2 + 3𝑥 − 6 < 0 and 3𝑦 2 + 16𝑦 + 18 <
0 and ′𝑥′ and ′𝑦′ are integers then
I – Value of ‘x’
II – Value of ‘y’
Q844. One of the roots of 8x2 + 2x −3 = 0 is .
2
Quantity I – value of another root.
Quantity II – What will come in the place of (?)
3
1
1
4
3
3
in 7 + 12 − ? = 19
(a) Quantity I > Quantity II
(b) Quantity I ≥ Quantity II
(c) Quantity II > Quantity I
(d) Quantity II ≥ Quantity I
(e) Quantity I = Quantity II or Relation cannot
be established
Q.849 I. x3 = 1331
II. y2 – 16y + 63 = 0
Q.850 I. √x = 3
II. (y – 2) = 9/(y – 2)
Q. 851 I. x2 + x = 15 – x
II. y2 + 12y + 35 = 0
𝟒
Q845. One root of 6x² + 17x + 12 = 0 is − .
𝟑
Quantity I – value of another root.
Quantity II – What will come in the place of (?)
3
Q.852 I. 5x = √4096
1
2
6y
in (12)³ × 3−3 + (2116) = 5? – 15
(a) Quantity I > Quantity II
(b) Quantity I ≥ Quantity II
(c) Quantity II > Quantity I
(d) Quantity II ≥ Quantity I
(e) Quantity I = Quantity II or Relation cannot
be established
Q846. 6x3× 5x = – 180x³ and
y2
10
II. 3
= √9
√729
Q. 853. I. 24𝑦 2 + 20𝑦– 4 = 0
II. 18x 2 − 15x + 3 = 0
Q. 854 I. x2 = 144
II. y2 + 11y = 0
3
– y= 0
Q.855 I. 2x2 + 17x + 35 = 0
II. 2y2 + y – 6 = 0
5
Quantity I: Value of ‘x’
Quantity II: Value of ‘y’
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≤ Quantity II
(d) Quantity I ≥ Quantity II
(e) Quantity I = Quantity II or No relation
Q.856 I. x2 + 6x – 55 = 0
II. y2 + 2y – 35 = 0
Q.857 I. x2 – 7x + 12 = 0
II. 2y2 – 9y + 10 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
377
@Crossword2022
Q.858 I. x2 = 9x – 14
II. y2 – 17y + 70 = 0
Q.872 I. x2 +30x +189 = 0
II. y2 -2y -99 = 0
Q.859 I. x2 = 14x – 48
II. y2 = 10y – 24
Q.873 I. x2 +13x -90 = 0
II. y2 -22y +120 = 0
I.  x + 2  = 32
Q.860 I. x2 - 12x + 32 = 0
II. y2 - 18y + 81 = 0
Q.874
Q.861 I. x2 – 13x + 42 = 0
II. y2 – 9y + 20 = 0
II.  y – 3 = 9
2
Q. 875 I. x2 + 21x + 104 = 0
II. y2 - 10y - 119 = 0
Q.862 I. x2 - 13x + 42 = 0
II. y2 - 17y + 70 = 0
Q. 876 I. x2 - 38x - 215 = 0
II. y2 + 20y + 91 = 0
Q.863 I. x2 – 26x + 169 = 0
II. y2 = 169
Q. 877 I. 2x2 - 35x + 143 = 0
II. 2y2 + 27y + 91 = 0
Q.864 I. 5x2 – 18x + 16 = 0
II. 3y2 – 11y + 10 = 0
Q. 878 I. √x = 4
II. y2 = 256
Q.865 I. 3x2 + 13x + 14 = 0
II. 6y2 + 11y + 3 = 0
Q. 879 I. x2 - 27x - 418 = 0
II. y2 - 7y - 228 = 0
Q.866 I. x2 + 6x = 27
II. y2 - 10y + 21 = 0
Q. 880 I. x2 = 9x + 442
II. y2 + 39y + 378 = 0
Q.867 I. 6x2 = 7x - 2
II. 9y2 + 9y = 4
Q.881 I. 3x2 - 22x + 35 = 0
II. y2 - 28y + 147 = 0
Q.868 I. 4x2 + 5x – 6 = 0
II. 3y2 + 7y – 6 = 0
Q.882 I. x2 + 37x + 252 = 0
II. y2 - 22y - 203 = 0
Q.869 I. x2 - 15x + 54 = 0
II. y2 - 9y + 18 = 0
Q.883 I. x2 + 10x - 144 = 0
II. y2 - 49y + 558 = 0
Q.870 I. x2 +24x +44 = 0
II. y2 +22y +40 = 0
Q.884 I. √x - 7 = 0
II. y2 - 41y - 392 = 0
Q.871 I. 35 x2 +20 = 80x
II. y2 = 16
Q.885 I. x2 = 256
II. √y = 4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
378
@Crossword2022
Q.886 I. x2 - 11x - 276 = 0
II. y2 + 1320 = 74y
Q.900 I. x3 – 107x = 37x
II. y2 + 242 = 96 + 262
Q.887 I. x2 - 39x + 368 = 0
II. y2 - 29y + 208 = 0
Q.901 I. x3 = 64x
II. 3y2 – 10y + 4 = 8y2 + 9y
Q.888 I. x2 - 14x - 351 = 0
II. y2 + 28y + 195 = 0
Q.902 I. x2 – 17x + 72 = 0
II. y2 – y – 56 = 0
Q.889 I. √x - 4 = 0
II. y2 - 37y + 336 = 0
Q.903 I. x2 + 25x + 156 = 0
II. y2 – y – 132 = 0
Q.890 I. 12x2 + 43x + 35 = 0
II. 14y 2 + 41y + 30 = 0
Q.904 I. 5x + 3y = 40
II. 4x – y = 15
Q.891 I. x2 - 31x + 228 = 0
II. y2 - 39y + 360 = 0
Q.905 I. x2 – 32.5 × 8x = 25% of 560 of x
II. y2 = 62.5% of 640
Q.892 I. 2x2 - 29x + 95 = 0
II. y2 = 49y - 528
Q.906 I. 20x2 + 560 = 220x
II. 40y2 + 112 = 136y
Q.893 I. 4 (x2 - 1) - (x + 1) = 0
II. y2 + 3y + 2 = 0
Q.907 I. x2 + 7x – 120 = 0
II. y2 – 26y + 153 = 0
Q.894 I. 5x2 + 15x = 4x2 + 29x – 24
II. y3 – 10y = 90y
Q.908 I. x2 + 24x + 135 = 0
II. y2 + 8y – 48 = 0
Q.895 I. x2 – 29x + 198 = 0
II. y2 + 7y – 198 = 0
Q.909 I. x2 – 36x + 320 = 0
II. y2 – 24y + 128 = 0
Q.896 I. x2 + 25x + 126 = 0
II. y2 + 27y + 180 = 0
Q.910 I. 3x2 – 19x – 14 = 0
II. 5y2 + 32y + 12 = 0
Q.897 I. x2 – 9x + 14 = 0
II. y3 – 1152 = 242
Q.911 I. 4x – 3y = -6
II. 5x – 2y = 24
Q.898 I. x2 – 24x + 128 = 0
II. y2 + 7y – 120 = 0
Q.912 I. x2 – 9x – 136 = 0
II. y2 – 5y – 126 = 0
Q.899 I. x2 + 28x + 195 = 0
II. y2 + 26y + 168 = 0
Q.913 I. x2 – 2x – 168 = 0
II. y2 – 3y – 180 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
379
@Crossword2022
Q.914 I. x2 – 37x + 330 = 0
II. y2 – 28y + 195 = 0
I. 4x 2 + 155 = 2091
Q.927
II. 8y 2 + 472 = 2y 2 + 2206
Q.915 I. x2 – 242 = 10% of 4320
II. y – 24√2 = 0
I. x 2 – 37x + 322 = 0
Q.928
Q.916 I. 24 – x2 + 7x = 2x2 – 7x + 32
II. 64y3 = 4913
2
I. x 2 + 27x + 170 = 0
Q.929
II.y 2 + 17y + 70 = 0
Q.917 I. 25x2 + 120 = 110x
II. 3y2 + 24y + 36 = 12 + 26y + 8y2
Q.918 I. x2 – 26x + 168= 0
II. y2 – 30y + 209 = 0
I. 2x 2 – 7x + 6 = 0
Q.930
II. 20y 2 – 29y + 6 = 0
Q.919 I. x2 – 8x – 128 = 0
II. y2+y – 90 = 0
Q.920
II. 4y 3 – 11 = y 3 + 1415
Q.931 I. 2x2 – 19x + 42 = 0
II. 2y2 – 13y + 20 = 0
I. x2 – 19x + 88= 0
II. y2 – 27y + 182 = 0
Q.921
Q.932 I. x2 – 15x + 56 = 0
II. 2y2 – 15y + 27 = 0
I. 5x2 = 1125
II. y3/32 = 128
Q.933 I. 2x2 + 13x + 20 = 0
II. 2y2 + 21y + 52 = 0
2
Q.922
I. x + 180 = 20 + 26x
II. y 2 – 25y + 126 = 0
Q.934 I. x3 = -125
II. y2 + 17y + 60 = 0
I. x 2 – 9x – 90 = 0
Q.923
II. y 2 – 35y + 300 = 0
Q.935 I. 9x + 7y = 89
II. 32y = 160
Q.924 I. x2 + 16x + 63 = 0
II. y2 – y – 56 = 0
Q.936 I. 5x2 = 1125
II. y3/32 = 128
Q.925 I. x2 – 4x – 77 = 0
II. y2 – 23y + 126 = 0
Q.937 I. x2 – 11x + 128 = 254
II. y2 – 11y + 124 = 276
Q.926 I. 8x + 26 = 7y
II. x – 4y = 28
Q.938 I. x2 – 30x + 36 × 6 = 0
II. y2 – 10y – 24y + 66 × 4 = 0
Q.939 I. (x + 4)2 = 15x + 4
II. (y – 5)2 = 13 – 3y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
380
@Crossword2022
Q.940 I. x2 + 27x + 180 = 0
II. y2 + 31y + 240 = 0
Q.954 I. (x + 12)2 = x + 12
II. y2 + 3y = 54
Q.941 I. x3 = -729
II. y2 + 16y + 63 = 0
Q.955 I. √x = 4
II. (y – 1) = 8/(y – 8)
Q.942 I. x2 = 121
II. y2 + 8y = 0
Q.956 I. x2 – 144 = 0
II. y3 = 1728
Q.943 I. x3 = -125
II. y2 + 17y + 72 = 0
Q.957 I. x2 + 29x + 210 = 0
II. y2 + 21y + 108 = 0
Q.944 I. x2 – 27x = -180
II. y2 – 18y + 72 = 0
Q.958 I. (x + 4)2 = 23x – 20
II. (y – 3)2 = 3 – y
Q.945 I. 12x2 – 5x – 23 = -16
II. 12y2 = 7y
Q.959 I. x2 = 196
II. y2 + 15y = 0
Q.946 I. x2 – 6x – 112 = 0
II. y2 + 22y + 120 = 0
Q.960. I. x3 = -729
II. y2 + 15y + 54 = 0
Q.947 I. 10x2 – 47x + 42 = 0
II. 5y2 – y – 6 = 0
Q.961 I. 7x + 5y = 118
II. 28y + 34 = 342
Q.948 I. 2x2 – 21x + 54 = 0
II. y = ∛512
Q.962 I. (x + 6)2 = 26x – 12
II. (y – 5)2 = y – 5
Q.949 I. x2 – 19x + 84 = 0
II. y2 – 18y + 72 = 0
Q.963 I. x2 – 64 = 0
II. y2 – 7y = 0
Q.950 I. x2 – 23x + 132 = 0
II. y2 – 27y + 180 = 0
Q.964 I. x3 = -512
II. y2 + 21y + 108 = 0
Q.951 I. x2 – 4x – 45 = 0
II. y2 + 2y – 48 = 0
Q.965 I. x2 + 15x = -56
II. y2 – y – 56 = 0
Q.952 I. x2 – 12x + 35 = 0
II. y2 – 21y + 98 = 0
Q.966 I. √x = √√64
II. (y – 1) = 5/(y – 5)
Q.953 I. 4x2 = 2x2 + 23x – 45
II. 8y2 = 648
Q.967 I. x2 = 64
II. y2 + 8y = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
381
@Crossword2022
Q.968 I. x3 = -216
II. y2 + 15y + 56 = 0
Q.982 I. x2 + 27x + 180 = 0
II. y2 – 5y – 84 = 0
Q.969 I. 3x + 2y = 22
II. 32y = 160
Q.983 I. 7x2 – 25x + 12 = 0
II. 3y2 – 11y – 20 = 0
Q.970 I. x2 – 3x = 10
II. y2 + 7y + 12 = 0
Q.984 I. 64x = 768
II. (y – 1) = 11/(y – 11)
Q.971 I. (x + 7)2 = x + 7
II. y2 + y = 30
Q.985 I. x2 – 144 = 0
II. y3 = 1728
Q.972 I. (x + 3)2 = 29x – 123
II. (y – 4)2 = 14y – 105
Q.986 I. x2 + 25x + 136 = 0
II. y2 + 15y + 56 = 0
Q.973 I. 5x2 – 9x + 4 = 0
II. 20y2 – 27y + 9 = 0
Q.987 I. x2 + x – 30 = 0
II. y2 + 7y + 12 = 0
Q.974 I. x3 = -1331
II. y2 + 16y + 63 = 0
Q.988 I. x2 + 14x + 48 = 0
II. y2 + 7y + 10 = 0
Q.975 I. 8x + 7y = 204
II. 15y = 180
Q.989 I. x2 – 169 = 0
II. y3 – 2197 = 0
Q.976 I. x2 – 10x = 24
II. y2 + 15y + 36 = 0
Q.990 I. x2 + 10x – 56 = 0
II. y2 – 17y + 60 = 0
Q.977 I. x2 – 3x = 10
II. y2 – 13y + 40 = 0
Q.991 I. x2 - 13x – 68 = 0
II. y2 – 3y – 54 = 0
Q.978 I. x2 – 81 = 0
II. y3 = 729
Q.992 I. 4x2 = 2x2 + 17x – 36
II. 12y2 = 300
Q.979 I. x2 + 15x + 54 = 0
II. y2 + 21y + 108 = 0
Q.993 I. (x + 9)2 = x + 9
II. y2 + 4y = 32
Q.980 I. x2 + 7x – 18 = 0
II. y2 + y – 30 = 0
Q.994 I. √x = 5
II. (y – 8) = 72/(y – 9)
Q.981 I. x2 – 14x + 70 = 2x + 7
II. y2 = 49
Q.995 I. x2 – 144 = 0
II. y3 = 1728
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
382
@Crossword2022
Q.996 I. x2 + 19x + 34 = 0
II. y2 + 21y + 54 = 0
Q.1010
I. x2 – 4x – 117 = 0
II. y2 + 28y + 180 = 0
Q.997 I. (x + 2)2 = 9x – 2
II. (y – 3)2 = 3 – y
Q.1011
I. x2 + 5x – 84 = 0
II. y2 + 27y + 180 = 0
Q.998 I. x2 = 16
II. y2 + 4y = 0
Q.1012
I. 7x2 – 267 = 2x2 + 1538
II. 5y3 = 3y3 + 8192
Q.999 I. x3 = -343
II. y2 + 12y + 35 = 0
Q.1013
I. x2 – 59x + 864 = 0
II. y2 + 2y = 7y + 594
Q.1000 I. 3x + 2y = 19
II. 35y = 70
Q.1014
I. x2 + 47x + 522 = 0
II. 9y3 + 219 = 5y3 + 5543
Q.1001
I. x2 = 144
II. y2 + 12y = 0
Q.1015
I. 8x2 + 423 = 6x2 + 935
II. 6y2 + 326 = 4y2 + 974
Q.1002
I. 5x + 3y = 45
II. 24y = 120
Q.1016
I. √625𝑥 2 – 375 = 0
Q.1003
I. x2 – 23x + 126 = 0
II. y2 – 22y + 105 = 0
Q.1017
I. x² + 8x + 15 = 0
II. 2y² + 21y + 54 = 0
Q.1004
I. x3 = -512
II. y2 + 13y + 40 = 0
Q.1018
I. 9x3 + 145 = 5x3 + 8933
II. 2y3 = 6750
Q.1005
I. x2 -5x -36 = 0
II. y2 -16y +63 = 0
Q.1019
I. 5x + 4y = 30
II. 7x + 2y = 60
Q.1006
I. x2 + 500 = 43x + 44
II. y2 + 300 = 30y + 91
Q.1020
I. x2 + 6x – 91 = 0
II. y2 – 25y + 144 = 0
Q.1007
I. 16x2 + (13)3 = 3x2 + 5122
II. 15y2 + (11)3 = 4y2 + 6655
Q.1021
I. x2 – 18x + 72 = 0
II. y2 + 8y – 84 = 0
Q.1008
I. x3 + (14)2 = 925
II. y2 – 3y – 54 = 0
Q.1022
I. x2 - x - 42 = 0
II. y2 + 4y - 32 = 0
Q.1009
I. 11x + 7y = 162
II. 5x + 15y = 180
Q.1023
I. x2 -24x +143 = 0
II. y2 -21y +90 = 0
II. √2116𝑦 – 736 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
383
@Crossword2022
Q.1024
Q.1025
Q.1026
I. x 3 – 80% of 150x = 75% of 272x
II. 32y – 12 × 24 = 32 ×15
Q.1037
II. √2116𝑦 – 736 = 0
Q.1038
I. (2x- 7)² = 25
II. (4y - 1)² = 9
Q.1039
I. x + =
2
I. x – 16x + 48 = 0
II. y 2 − 28y + 192 = 0
I. x2 + 24x + 128 = 0
II. y2 + 36y + 320 = 0
3
I. x + 340 = 2537
II. y 2 + 23 = 192
Q.1029
Q.1030
Q.1031
Q.1032
I. x – 19x + 84 = 0
II. y 2 + 18y + 77 = 0
I. 3x 2 − 23x + 40 = 0
Q.1041
I. 7x2 = 6x2 - x + 6
II. (7y + 30)/2 = (16y + 56)/4
Q.1042
I. 2x2 – 11x + 5 = 0
II. 4y2 = 24y
Q.1043
I. 2x² + 7x – 30 = 0
II. 3y² + 6y – 24 = 0
Q.1044
I. 104𝑥 2 – 51x – 35 = 0
II. 88y2 + 27y – 91 = 0
I. 3𝑥 2 + 23𝑥 + 30 = 0
II. 𝑦 2 + 15𝑦 + 56 = 0
Q.1045
I. 𝑥 2 – 37x + 342 = 0
II. 𝑦 2 – 34y + 288 = 0
Q.1046
I. x² + 9x + 18 = 0
II. x + y = 4
I. x 2 - 25x + 154 = 0
II. y 2 - 16y + 60 = 0
I. 9x 2 + 1944 = 270x
II. 5y 3 = 29160
I. x = 16 2 - 252
Q.1047
II. y = 132 - 158
Q.1048
Q.1036
7
I. 6x 2 + 23x + 21 = 0
II. 6y 2 - 7y - 5 = 0
Q.1033 I. 3x² + 14x – 5 = 0
II. 3y² – 19y + 6 = 0
Q.1034 I. 7x² – 11x – 6 = 0
II. 7y² – 10y + 3 = 0
Q.1035
50
x
2
II. 5y 2 − 17y + 14 = 0
2
Q.1028
1
II. 4y + 4 + 17y = 0
Q.1040
Q.1027
I. √625𝑥 2 – 375 = 0
I. 5x2 +16x – 16 = 0
II. 5y2– 29y + 20 = 0
I.
20
II.
I. 16x + 11y = 154
II. 11x + 16y = 89
Q.1049
=3+
𝑥²
32
𝑦²
4
𝑥
12
+1=
𝑦
I. 2x 2 – 18x / 5 = 5x – 9
II. 3y 4 + 32 = 800
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
384
@Crossword2022
Q.1050
Q.1051
I. 3x 2 + 57x – 360 = 0
II.12y + 524 = 188
Q1063.
I. x2 – 14√2x + 96 = 0
II. y2 – 11.5√2y + 66 = 0
Q.1064
I.
1
I. 2𝑥 4 × (𝑥 4)0.5 + 10𝑥– 72 = 0
II.
II. 5𝑦 2 + 14𝑦 − 96 = 0
Q.1052
I. 4x2 = 256
II. 6y2 = 12y + 480
Q.1053
I. x– 9√𝑥 + 20 = 0
Q1065.
Q.1054
Q.1055
I. 4x 2 + 40% of 320 = 1028
II. 8y 2 + 512 = 160y
Q1056.
Q1057.
y 14 
35 2
 7 2  5 14
y
I. x2 – 4√3x + 9 = 0
II. y2 – √3y – 18 = 0
Q1066. The question below contains a statement
followed by quantity I and II. Read the
following information carefully and answer
the questions accordingly.
Quantity I: Sum of three numbers is 56. Difference
between highest and lowest number is 16.
If the middle number is 7 more than the
lowest number, then find the highest
number.
Quantity II: Value of a, if 3a 2 - 101a + 540 = 0
a का मान, यदि 3a2 - 101a + 540 = 0.
A. Quantity I < Quantity II
II. y – 13√𝑦 + 42 = 0
I. 4x 2 + 11x – 15 = 0
II.18y 2 = 67.5y
x2
 x  14 2  8 7
72 2
I. 3x2 – 13√2x + 24 = 0
II. y2 – 4√2y + 6 = 0
B. Quantity I ≤ Quantity II
C. Quantity I = Quantity II
I. 3x2 – (6 + √5) x + 2√5 = 0
II. 8y2 – (16 + 3√5) y + 6√5 = 0
D. Quantity I > Quantity II
E. Quantity I ≥ Quantity II
Q1067.
Quantity 1: What is the difference between the
quantities of zinc in both the mixtures?
Quantity 2: Value of x if x = √441
A. Quantity I < Quantity II
Q1058.
I. 76x2 + 29√19x + 52 = 0
II. 35y2 + 8y – 3 = 0
Q1059.
I. 4x2 – (8 + √10)x + 2√10 = 0
II. 2y2 – (4 + 3√11)y + 6√11 = 0
Q1060.
I. 6x2 – 23√3x + 60 = 0
C. Quantity I = Quantity II
II. 2y2 + 3 √3y – 15 = 0
D. Quantity I > Quantity II
B. Quantity I ≤ Quantity II
Q1061.
I. 14x2 – 5 √15x – 90 = 0
II. 6y2 +√21y – 21 = 0
Q1062.
I. 3x2 – (6 + √17)x + 2 √17 = 0
II. 15y2 + (9 – 10 √17) y – 6 √17 = 0
E. Quantity I ≥ Quantity II
Q1068. In the following questions, find the value of
two quantities given in the question and find
the relation between them.
Quantity I: 2 > A > -2
Quantity II: B = A -3 + A
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
385
@Crossword2022
Q1069.
Q1070.
Q1071.
Q1072.
A. Quantity I > Quantity II
B. Quantity I < Quantity II
C. Quantity I ≥ Quantity II
D. Quantity I ≤ Quantity II
E. Quantity I = Quantity II or no relation
can be established.
The question contains a statement
followed by two quantities. Read the
following information carefully and answer
the question accordingly.
Quantity I: (12064)125
Quantity II: (10260)200
A. Quantity I = Quantity II
B. Quantity I > Quantity II
C. Quantity I ≤ Quantity II
D. Quantity I ≥ Quantity II
E. Quantity I < Quantity II
This question contains a statement
followed by quantity I and II. Read the
following information carefully and answer
your questions accordingly.
p, q and r are three positive integers and
p(q2r + qr2) = 3pqr.
Quantity I: Value of q2 + r2, if q = 3/2r
Quantity II: Value of p, if √(3p) = 2(r+q)
A. Quantity I < Quantity II
B. Quantity I = Quantity II
C. Quantity I > Quantity II
D. Quantity I ≥ Quantity II
E. Quantity I ≤ Quantity II
In the following questions two equations
numbered I and II are given. You have to
solve both the equations and choose the
correct option
I. x2 +45x +504 = 0
II. y2 +13y -168 = 0
A.x < yB. x > y C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be
established
In the following questions two equations
numbered I and II are given. You have to
Q1073.
Q1074.
Q1075.
Q1076.
solve both the equations and choose the
correct option.
I. x2 -35x +276 = 0
II. y2 -18y +72 = 0
A. x < y
B. x > y C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be
established
In the following questions two equations
numbered I and II are given. You have to
solve both the equations and choose the
correct option.
I. x2 +2x -143 = 0
II. y2 -18y +56 = 0
A. x < y
B. x > y C. x ≤ y
D. x ≥ y
E. x = y
In the following questions two equations
numbered I and II are given. You have to
solve both the equations and choose the
correct option.
I. 9x2 +18x -16 = 0
II. y2 +25y +84 = 0
A. x < y
B. x > y C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be
established
In the following questions two equations
numbered I and II are given. You have to
solve both the equations and choose the
correct option.
I. x2 -9x +20 = 0
II. 10y 2 -3y -18 = 0
A. x < y
B. x > y C.x ≤ y
D. x ≥ y
E. x = y or relationship cannot be
established
Each question contains a statement
followed by two/three quantities. Read the
following information carefully and answer
your questions accordingly.
If A 5 + B5 > 0 and A 3B2 < 0.
Quantity I: Value of A
Quantity II: Value of B
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
386
@Crossword2022
Quantity III: Value of A - B
A. Quantity I < Quantity II < Quantity III
B. Quantity I > Quantity II > Quantity III
C. Quantity I < Quantity II > Quantity III
D. Quantity I > Quantity II < Quantity III
E. Quantity I < Quantity II = Quantity III
Q1077. Each question contains a statement
followed by two/three quantities. Read the
following information carefully and choose
the most appropriate option as the answer.
A + D < 0, B3 < 0, B + C > 0, D >0 and
numerical value of A and B are equal.
Quantity I: Value of A3D2
Quantity II: Value of B 3C 2
A. Quantity I = Quantity II
B. Quantity I > Quantity II
C. Quantity I ≤ Quantity II
D. Quantity I ≥ Quantity II
E. Quantity I < Quantity II
Q1078. The question contains a statement
followed by three quantities. Read the
following information carefully and choose
the most appropriate option as the answer.
If A = 96 * (14432)22, B = 720 * (12 1407)
and C
= (1728 26)18 * 124
Quantity I: A + B
Quantity II: B + C
Quantity III: A + C
A. Quantity I > Quantity II < Quantity III
B. Quantity I < Quantity II < Quantity III
C. Quantity I > Quantity II > Quantity III
D. Quantity I < Quantity II > Quantity III
E. Quantity II < Quantity III > Quantity I
Q1079. The question contains a statement
followed by three quantities. Read the
following information carefully and choose
the most appropriate option as the answer.
A + B > D, B < 0, D < C and D > 0
Quantity I: Value of AC/B
Quantity II: Value of D + C
Quantity III: Value of (A + C)/(D - A)
A. Quantity II < Quantity III < Quantity I
B. Quantity I < Quantity II < Quantity III
C. Quantity I < Quantity II > Quantity III
D. Quantity I > Quantity II > Quantity III
E. Quantity II < Quantity III > Quantity I
Q1080. In each of these questions, two equations I
and II are given. You have to solve both the
equations and give answer.
I: 2x + 3 = 5/x
II: (2y + 11)/5 + 4/y = 1/y
A. x = y or relationship between cannot be
determined/ x = y या सं बंध स्थादित नह ं दकया
जा सकता
B. x < y
C. x > y
D. x ≥ y
E. x ≤ y
Q1081. In each of these questions, two equations I
and II are given. You have to solve both the
equations and give answer.
I: x + 81/4x = 9
II: y2 + 11 = (17y - 11)/2
A. x ≥ y
B. x ≤ y
C x = y or relationship between cannot be
determined/ x = y या सं बंध स्थादित नह ं दकया
जा सकता
D. x < y
E. x > y
Q1082. The question below consists of two
quantities I and II. You have to solve for
each quantity and compare the
relationship between the two and mark the
answer accordingly.
Quantity I: The speed of a river, if the speed of a
boat in still water is 30 km/hr and the boat
takes 30 minutes to cover an upstream
distance, whose magnitude (in km) is
150% more than the speed of river.
Quantity II: Value of 'x' if x 2 - 4 = 2x
A Quantity I > Quantity II/ मात्रा I > मात्रा II
B Quantity I < Quantity II/ मात्रा I <मात्रा II
C Quantity I ≥ Quantity II/ मात्रा I ≥ मात्रा II
D Quantity I ≤ Quantity II/ मात्रा I ≤ मात्रा II
E Quantity I = Quantity II or no relation
can be established
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
387
@Crossword2022
Q1083. Quantity I: A, B and C started a business
with initial investment of Rs. 16000, Rs.
20000 and Rs. 24000 respectively after 6
months, A and B again invested Rs. 4000
and 8000 respectively. At the end of the
year, the share of profit of C is what
percentage more or less than the share of
A?
Quantity II: What is the value of x if x% of
(450 + 380 - 30) = 500
मात्रा II: x का मान क्या है यदि (450 + 380 - 30) का
x% = 500
A Quantity I > Quantity II
B Quantity I < Quantity II
C Quantity I ≥ Quantity II
D Quantity I ≤ Quantity II
E Quantity I = Quantity II or no relation can
be established
Q1084. I. 2x2 – 17x + 35 = 0
II. 3y3 = 648
Q1085. I. x2 + 24x + 144 = 0
II. y2 + 20y + 96 = 0
Q1086. The question below consists of two
quantities I and II. You have to solve for
each quantity and compare the
relationship between the two and mark the
answer accordingly.
Quantity I: Find the Value of 'n' if 2n 2 - 30 = 7n
Quantity II: Find the average number of students who
scored 80% and above in classes 'A' and 'B' if
35 students in class 'A' scored below 80%
and 40 students in class 'B' scored below
80%. The total number of students in both
the classes is 105.
A. Quantity I > Quantity II
B. Quantity I < Quantity II
C. Quantity I ≥ Quantity II
D. Quantity I ≤ Quantity II
E. Quantity I = Quantity II or relationship
cannot be established
Q1087. a, m, n, p, and q are positive integers such
that:
A:
am  am
p an
q
n
B:

a
p
 n m
n
2m
a
a
a a
Quantity I: Value of 'q'.
Quantity II: Value of 'p/q'.
A. Quantity I = Quantity II
B. Quantity I > Quantity II
C. Quantity I ≥ Quantity II
D. Quantity I < Quantity II
E. Quantity I ≤ Quantity II
Q1088. In the following questions two statements
(Quantity - I and Quantity - II) are given.
You have to solve both the statements and
give answer.
Quantity I: The ratio between the present ages of N
and A is 4: 3. If the differences of their ages
be 7 years, then find the age of A after 6
years.
Quantity II: The ratio between the present age of P
and Nishi is 3: 4 and the age of N is 10
years more than the age of P after 4 years,
then what is the present age of P?
A Quantity I > Quantity II
B Quantity I < Quantity II
C Quantity I ≥ Quantity II
D Quantity I ≤ Quantity II
E Quantity I = Quantity II or no relation can
be established
Q1089. In the following question, two statements
numbered I and II are given. On solving
them, we get quantities I and II,
respectively. Solve for both the quantities
and choose the correct option.
Quantity I: Anurag sold a shirt at a loss of 14%. If he
increased the selling price of the shirt by
Rs. 950, then he earned 24% of profit. At
what price he bought the shirt?
Quantity II: Anwar sold a mouse at 28% profit. If the
cost price of the mouse is decreased by 8%
and its selling price is increased by Rs. 20,
then Anwar will earn 40% of profit. What
is the original cost price of the mouse?
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
388
@Crossword2022
Q1090.
Q1091.
Q1092.
Q1093.
A Quantity I > Quantity II
B Quantity I < Quantity II
C Quantity I ≥ Quantity II
D Quantity I ≤ Quantity II
E Quantity I = Quantity II or no relation can
be established
Two equations numbered I and II are given
below. You have to solve both the
equations and give answer.
I: 9/x - 12/x2 + 4/x3 = 0
II: 6y + 2/y = 7
A. x ≤ y
B. x > y C. x ≥ y D. x < y
E. x = y or relationship between x and y
cannot be determined
In the following questions two equations
numbered I and II are given. You have to
solve both the equations and choose the
correct option.
I. x2 -31x +210 = 0
II. y2 +20y -44 = 0
A) x < y
B) x > y C) x ≤ y
D) x ≥ y
E) x = y or relationship cannot be
established/ x = y
In the following questions two equations
numbered I and II are given. You have to
solve both the equations and choose the
correct option.
I. x2 -23x +102 = 0
II. y2 -40y +391 = 0
A) x < y
B) x > y C) x ≤ y
D) x ≥ y
E) x = y or relationship cannot be
established
In the following questions two equations
numbered I and II are given. You have to
solve both the equations and choose the
I. x2 -40x +391 = 0
II. y2 -29y +204 = 0
A) x < y
B) x > y C) x ≤ y
D) x ≥ y
E) x = y or relationship cannot be
established
Q1094. Which of the following pair of symbols will
define the relation between Quantity I and
Quantity II and between Quantity II and
Quantity III, respectively?
A. =
B. >
C. <
D. ≥
E. ≤
F. # (relation cannot be established)
Quantity I: Find the value of ‘x’ if x2 – 7x
= (21x – 128)/5
= (21x – 128)/5
Quantity II: Find the value of ‘x’ if x2 + 50 = 14.25x
Quantity III: Find the value of ‘x’ if x2/36 – 2x/9 + 3
= 2x/3 – 7/3
A. D, E
B. F, E
C. E, D
D. A, E
E. B, E
Q1095. Which of the following pair of symbols will
define the relation between Quantity I and
Quantity II and between Quantity II and
Quantity III respectively?
A. =
B. >
C. <
D. ≥
E. ≤
F. # (relation cannot be established F. #
(relation cannot be established)
Quantity I: Find the value of ‘x’ if [(x2 + 4x + 28)/(x2 –
4x – 37)] = 4/5
Quantity II: Find the value of ‘x’ if [(x2+4x)/(x–
64+2x2)] = 4/9
Quantity III: Find the value of ‘x’ if x2/24 – 64/3 = 2x/3
A.F, E
B. D, E
C. E, D
D. F, D
E. D, F
Q1096. In the question, two quantities I and II are
given. You have to solve both the quantities
to establish the correct relation between
Quantity-I and Quantity-II and choose the
correct option.
Quantity-I: (2 × 1038 – 8 × 1036) > (2 × 1036 + a ×
1036) such that their difference is divisible by
3. Find the minimum value of ‘a’.
(2 × 1038 – 8 × 1036) > (2 × 1036 + a × 1036)
Quantity-II: quantity II = ‘b’ such that b ≤ 1
A -Quantity-I > Quantity-II
B -Quantity-I < Quantity-II
C -Quantity-I ≤ Quantity-II
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
389
@Crossword2022
D -Quantity-I = Quantity-II or No relation
E -Quantity-I ≥ Quantity-II
Q1097. In the question, two equations I and II are
given. You have to solve both the equations
to establish the correct relation between x
and y and choose the correct option.
I. x2 + 384 = 40x
II. 2y2 + 272 = 49y
A. x > y
B. x < y
C. x = y or the relationship cannot be
established
D. x ≥ y
E. x ≤ y
Q1098. In the question, two equations I and II are
given. You have to solve both the equations
to establish the correct relation between x
and y and choose the correct option.
I. (x + 16)2 = 13 – 4x
II. (y + 20)2 = –84 – 4y
A. x > y
B. x < y
C. x = y or the relationship cannot be
established
D. x ≥ y
E. x ≤ y
Q1099. The question below contains a statement
followed by quantity I and II. Read the
following information carefully and answer
the questions accordingly.
Aman and Balram together can do a work
in 10(10/11) days and Balram and Chaman
can do the same work in 13(1/3) days.
Balram is 25% more efficient than Chaman.
Quantity I: Number of days Aman and Chaman
together will take to complete the 60%
work.
Quantity II: Number of days Dhawan and Balram
together will take to complete the whole
work, if the difference between time taken
by Aman alone and Dhawan alone is 6 days.
A. Quantity I < Quantity II
Q1100. In the following question, two statements
numbered I and II are given. On solving
them, we get quantities I and II,
respectively. Solve for both the quantities
and choose the correct option.
Quantity I: Rs. 2480
Quantity II: The side of a square shaped plot is 42 m
more than the radius of a circular shaped
land and the cost of fencing the square
shaped plot with iron wire at the rate of Rs.
15 per meter is Rs. 4200. What is the total
cost of fencing circular shaped land with
same rate?
A. Quantity I < Quantity II
B. Quantity I ≤ Quantity II
C. Quantity I = Quantity II
D. Quantity I > Quantity II
E. Quantity I ≥ Quantity II
Q1101. In the following question, two quantities
i.e., Quantity I and Quantity II, are given.
Solve for the quantities and mark the
correct option.
Anuj and Bala together can sew 48 shirts in
8 days. If Anuj works for 12 days and Bala
works for 18 days, then the total number of
shirts sewn by both of them together will be
84.
Quantity I: Anuj gets Rs. 320/shirt and Bala gets Rs.
400/shirt for sewing. If Anuj and Bala work
for 30 days and 40 days respectively, then
the total amount collected by both of them
together is?
Quantity II: Rs. 70000.
A Quantity I > Quantity II
B Quantity I < Quantity II
C Quantity I ≥ Quantity II
D Quantity I ≤ Quantity II
E Quantity I = Quantity II or no relation can
be established
Q1102. In the following question, two quantities
i.e., Quantity I and Quantity II, are given.
B. Quantity I ≤ Quantity II
C. Quantity I = Quantity II
D. Quantity I > Quantity II
E. Quantity I ≥ Quantity II
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
390
@Crossword2022
Solve for the quantities and mark the
correct option.
A train A, whose speed can vary from 36
km/hr to 72km/hr, has to travel 480 km
taking 3 stops of 10 minutes each. Another
train B, whose speed can vary from 40
km/hr to 60 km/hr, has to travel 360 km
taking 5 stops of 15 minutes each.
Quantity I: Sum of the time taken by trains A and B
to complete their respective journeys.
Quantity II: 15 hours.
A. Quantity I > Quantity II
B. Quantity I < Quantity II
C. Quantity I ≥ Quantity II
D. Quantity I ≤ Quantity II
E. Quantity I = Quantity II or Relation
cannot be determined.
Q1103. In the following question, two statements
numbered I and II are given. On solving
them, we get quantities I and II,
respectively. Solve for both the quantities
and choose the correct option.
Quantity I: A shopkeeper sold a jacket at a loss of
14%. If he increased the selling price of the
jacket by Rs. 950, then he earned 24% of
profit. At what price he bought the jacket?
Quantity II: Amit sold a speaker at 28% profit. If the
cost price of the speaker is decreased by
8% and its selling price is increased by Rs.
20, then Amit will earn 40% of profit. What
is the original cost price of the speaker?
A. Quantity I > Quantity II
B.Quantity I < Quantity II
C. Quantity I ≥ Quantity II
D. Quantity I ≤ Quantity II
E. I = II or Relation cannot be determined
Q1104.
In the following questions two statements
(Quantity - I and Quantity - II) are given.
You have to solve both the statements and
give answer.
Quantity I: The ratio between the present ages of
Nishu and Aashu is 4: 3. If the differences
of their ages be 7 years, then find the age of
Aashu after 6 years.
Quantity II: The ratio between the present age of
Parul and Nishi is 3: 4 and the age of Nishi
is 10 years more than the age of Parul after
4 years, then what is the present age of
Parul?
A. Quantity I ≥ Quantity II
B. Quantity I = Quantity II or relationship
cannot be determined
C. Quantity I < Quantity II
D. Quantity I > Quantity II
E. Quantity I ≤ Quantity II
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
391
@Crossword2022
SOLUTION
x(x-3)-5(x -3) =0
(x-3)(x-5)=0
X = 3 or 5
From II,
y2 +17y + 70 = 0
y2 +10y +7y + 70 = 0
y(y +10) +7 ( y +10 ) = 0
(y +7)(y +10)=0
y= -7 or -10
So, x > y. Hence
1. Ans
I.
18x2 – 39x + 20 = 0
18x2 – 15x – 24x + 20 = 0
3x (6x – 5) – 4 (6x – 5) = 0
(6x – 5) (3x – 4) = 0
5 4
x ,
6 3
II.
9y2 – 51y + 52 = 0
9y2 – 12y – 39y + 52 = 0
3y (y – 4) – 13 (y – 4) = 0
(3y – 4) (3y – 13) = 0
5.Ans
I. 6𝑥 2 − 29𝑥 + 35 = 0
⇒ 6𝑥 2 − 14𝑥 − 15𝑥 + 35 = 0
4 13
y ,
3 3
7 5
⇒ (3𝑥 − 7)(2𝑥 − 5) = 0 ⇒ 𝑥 = ,
3 2
II. 3𝑦 2 − 11𝑦 + 10 = 0
⇒ 3𝑦 2 − 6𝑦 − 5𝑦 + 10 = 0
5
⇒ (𝑦 − 2)(3𝑦 − 5) = 0 ⇒ 𝑦 = 2,
3
𝑥>𝑦
After comparison of both equations, the
conclusion is x ≤ y
2. . Ans
From I:
x2 – 34x + 285 = 0
x2 – 15x – 19x + 285 = 0
x(x – 15) – 19(x – 15) = 0
(x – 15)(x – 19) = 0
x = 19, 15
From II:
y2 – 42y + 432 = 0
y2 – 24y – 18y + 432 = 0
y(y – 24) – 18(y – 24) = 0
(y – 24)(y – 18) = 0
y = 24, 18
So, no relation can be established between X
and Y.
6. Ans
I. 2𝑥 2 − 7𝑥 + 6 = 0
⇒ 2𝑥 2 − 4𝑥 − 3𝑥 + 6 = 0
⇒ (2𝑥 − 3)(𝑥 − 2) = 0
3
⇒ 𝑥 = 2,
2
II. 𝑦 6 = 64
𝑦 = ±2
No relation
7. Ans
I. 𝑥 2 = 16
⇒ 𝑥 = ±4
II. 𝑦 2 − 13𝑦 + 36 = 0
⇒ (𝑦 − 4)(𝑦 − 9) = 0
⇒ 𝑦 = 4, 9
𝑦≥𝑥
3. Ans
From I, 4x2 +6x+2 = 0
2x2 +3x+1 = 0= 0
2x2 + 2x +x +1 = 0
2x(x+1) + (x+1) = 0
(x + 1)(2x+1) = 0
x = -1 or -1/2
From II, y 2 -10y + 24 = 0
y2 - 6y- 4y + 24= 0
(y – 6)(y -4) = 0
Y = 6 or 4
So, clearly, x < y.
8. Ans
I. 4𝑥 2 + 18𝑥 − 10 = 0
2𝑥 2 + 9𝑥 − 5 = 0
⇒ 2𝑥 2 + 10𝑥 − 𝑥 − 5 = 0
⇒ (𝑥 + 5)(2𝑥 − 1) = 0
1
⇒ 𝑥 = −5,
2
2
25
II. 𝑦 5 − 8 = 0
𝑦5
2
4.Ans
𝑦 = 25
⇒ 𝑦 = ±5
No relation
From I,
x2 - 8x + 15 = 0
x2 -3x -5x + 15 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
392
@Crossword2022
9. Ans
13. Ans
I. 7𝑥 + 13 = 0 ⇒ 𝑥 = −
13
I) 𝑥 2 − 𝑥 − 12 = 0
⇒ 𝑥 2 − 4𝑥 + 3𝑥 − 12 = 0
⇒ 𝑥(𝑥 − 4) + 3(𝑥 − 4) = 0
⇒ 𝑥 = 4, −3
II) 𝑦 2 + 5𝑦 + 6 = 0
⇒ 𝑦 2 + 3𝑦 + 2𝑦 + 6 = 0
⇒ 𝑦(𝑦 + 3) + 2(𝑦 + 3) = 0
⇒ 𝑦 = −2, −3
So, no relation can be established between x & y.
7
13
II. (7𝑦 − 13)2 = 0 ⇒ 𝑦 =
7
𝑦>𝑥
10 . Ans
From equation I:
10x2 +49x +18 = (5x + 2)(2x + 9)= 0
=> x = -2/5, -9/2
From equation II:
y2 -25 = (y + 5)(y -5) = 0
=> y = -5, 5
X = -2/5 X = -9/2
Y = -5
x>y
x>y
Y=5
x<y
x<y
14. Ans
So, relationship cannot be established between x
and y
11. Ans
From equation I:
10x2 +51x +27 = (2x + 9)(5x + 3)= 0
=> x = -9/2, -3/5
From equation II:
y2 +2y -24 = (y + 6)(y -4) = 0
=> y = -6,
X = -9/2 X = -3/5
Y = -6
x>y
x>y
Y=4
x<y
x<y
(I) x2 - 4 = 0
=> x = ± 2
(II) y 2 - 5y + 6 = 0
=> y2 - 2y - 3y + 6 = 0
=> (y - 2)(y - 3) = 0 => y = 2 or 3
When x = 2 and y = 2, then x = y
When x = 2 and y = 3, then x < y
When x = -2 and y = 2, then x < y
When x = -2 and y = 3, then x < y
Hence, x ≤ y
15. Ans
I) 𝑥 2 − 32 = 112 ⇒ 𝑥 2 = 112 + 32
⇒ 𝑥 = ±12
II) 𝑦 = √169 ⇒ 𝑦 = 13
∴𝑦>𝑥
16. Ans
I) 𝑥 − √121 = 0
⇒ 𝑥 = √121
⇒ 𝑥 = 11
II) 𝑦 2 − 121 = 0
⇒ 𝑦 2 = 121
⇒ 𝑦 = ±11
∴𝑥≥𝑦
So, relationship cannot be established
between x and y
12. Ans
17. Ans
From equation I:
10x2 +53x +63 = (2x + 7)(5x + 9)= 0
=> x = -7/2, -9/5
From equation II:
y2 -15y +56 = (y -8)(y -7) = 0
=> y = 8, 7
X = -7/2 X = -9/5
Y=8 x<y
x<y
Y=7 x<y
x<y
I) 𝑥 2 − 16 = 0
⇒ 𝑥 2 = 16 ⇒ 𝑥 = ±4
II) 𝑦 2 − 9𝑦 + 20 = 0
⇒ 𝑦 2 − 5𝑦 − 4𝑦 + 20 = 0
⇒ 𝑦(𝑦 − 5) − 4(𝑦 − 5) = 0 ⇒ 5, 4
∴𝑦 ≥𝑥
18.
I. 𝑥 2 + 7𝑥 + 6𝑥 + 42 = 0
Or, x = – 7, – 6
II. 𝑦 2 + 10𝑦 + 9𝑦 + 90 = 0
Or, y = – 10, – 9
∴ 𝑥>𝑦
So, x < y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
393
@Crossword2022
19. Ans
=>x(2x – 1) + 3(2x -1) = 0
=>(x + 3)(2x – 1) = 0
=>x = 1/2, -3
From II:
y2 - y – 7y + 7 = 0
=> y(y – 1) – 7(y – 1) =0
=>(y – 1)(y – 7) = 0
=>y = 1, 7
Therefore, x<y
I. 𝑥 2 + 8𝑥 + 7𝑥 + 56 = 0
Or, x = – 8, – 7
II. 𝑦 2 − 12𝑦 − 11𝑦 + 132 = 0
Or, y = 12, 11 ∴ 𝑦 > 𝑥
20. Ans
I. 𝑥 2 + 4𝑥 + 3𝑥 + 12 = 0
Or, x = – 4, – 3
II. 𝑦 2 + 4𝑦 + 2𝑦 + 8 = 0
Or, y = – 4, – 2
∴ Relation can’t be established
26. Ans
I. 𝑥 2 − (16)2 = (23)2 − 56
or 𝑥 2 − 256 = 529 − 56
∴ 𝑥 = √729 = ±27
II. 𝑦 1/3 − 55 + 376 = (18)2
or 𝑦1/3 = 324 + 55 − 376
∴ 𝑦 = (3)3 = 27
∴𝑦≥𝑥
21. Ans
I. 𝑥 2 − 12𝑥 − 10𝑥 + 120 = 0
Or, x = 12, 10
II. 𝑦 2 − 14𝑦 − 12𝑦 + 168 = 0
Or, y = 14, 12
∴ 𝑦≥𝑥
22. Ans
27. Ans
I. 𝑥 2 + 8𝑥 + 4𝑥 + 32 = 0
Or, x = – 8, –4
II. 𝑦 2 + 9𝑦 + 8𝑦 + 72 = 0
Or, y = – 9, – 8
𝑥≥𝑦
I. 8x2 – 18√3x + 27 = 0
8x2 – 12√3x – 6√3x + 27 = 0
4x(2x – 3√3) – 3√3 (2x – 3√3) = 0
(2x – 3√3)(4x – 3√3) = 0
x
23. Ans
3
3
3, 3
4
2
1. x 2 - 7 3 x+ 36 = 0
=x 2 -4 3x-3 3 x+ 36 = 0
II. 15y2 – 14√3y + 9 = 0
15y2 – 9√3y – 5√3y + 9 = 0
=x 2 -4 3x-3 3 x+ 36 = 0
= (x - 3 3)(x - 4 3) = 0
3y(5y – 3√3) – √3 (5y – 3√3) = 0
(3y – √3)(5y – 3√3) = 0
x = 3 3,4 3
y
II. y2 – 11 √3 y + 84 = 0
1
3
3, 3
3
5
For x =
= y 2 - 4 3 y - 7 3 y + 34 = 0
3
4
√3,
3
√3 and y =
2
1
3
√3,
3
5
x>y
= y(y - 4 3 )- 783 (y - 4 3 ) = 0
28. Ans
= (y - 7 3 ) (y - 4 3 ) = 0
x = √6, 𝑦 = √6
∴x=y
y = 7 3 ,4 3
Here, x  y
29. Ans
24. Ans
I.
I. 𝑥 = √625 = +25
II. 𝑦 = √676 = +26
So, 𝑦 > 𝑥
4
6
+
=5 x
x
x
46
5 x
x
10=5x
X=2
25. Ans
From I:
2x2 + 5x - 3 = 0
=>2x2 – x + 6x – 3 = 0
y 2  256  625
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
394
√3
@Crossword2022
II. 2𝑦 2 − 13𝑦 + 20 = 0
⇒ 2𝑦 2 − 8𝑦 − 5𝑦 + 20 = 0
⇒ (𝑦 − 4)(2𝑦 − 5) = 0
5
⇒ 𝑦 = 4,
y 2 +16=25
y 2 =25-16
y 2 =9
y  3
2
No relation
34. Ans
While comparing the values of x and y one
root value of y lies between the two root
values of x
I. 9𝑥 2 − 21𝑥 + 10 = 0
⇒ 9𝑥 2 − 6𝑥 − 15𝑥 + 10 = 0
⇒ 3𝑥(3𝑥 − 2) − 5(3𝑥 − 2) = 0
2 5
⇒𝑥= ,
30. Ans
x = – 4, 3 ; y = 3, 2
∴ No relation
3 3
II. 𝑦 2 − 8𝑦 + 15 = 0
⇒ 𝑦 2 − 5𝑦 − 3𝑦 + 15 = 0
⇒ (𝑦 − 3)(𝑦 − 5) = 0
⇒ 𝑦 = 3, 5
Y>x
31. Ans
I. 12x2-29x+15=0
12x2-20x-9x+15=0
4x(3x-5)-3(3x-5)=0
(3x-5)(4x-3)=0
x=5/3,3/4
35. Ans
I. 2𝑥 2 − 13𝑥 + 15 = 0
⇒ 2𝑥 2 − 10𝑥 − 3𝑥 + 15 = 0
3
⇒ (𝑥 − 5)(2𝑥 − 3) = 0 ⇒ 𝑥 = 5,
2
II.54y - 20 18y + 33 = 0
54 y 2  11 18 y  9 18 y  33  0
2
( 18 y  3)(3 18 y  11)  0
II. 2𝑦 2 − 11𝑦 + 12 = 0
⇒ 2𝑦 2 − 8𝑦 − 3𝑦 + 12 = 0
3
⇒ (𝑦 − 4)(2𝑦 − 3) = 0 ⇒ 𝑦 = 4,
y  3 18 y  1/ 2,11/ 3 18  11/ 9 2
No relation
18 y (3 18 y  11)  3(3 18 y  11)  0
2
36. Ans
While comparing the values of x and y one
root value of y lies between the two root
values of x
I. 2𝑥 2 + 7𝑥 + 6 = 0
⇒ 2𝑥 2 + 4𝑥 + 3𝑥 + 6 = 0
⇒ (𝑥 + 2)(2𝑥 + 3) = 0
3
⇒ 𝑥 = −2, −
32. Ans
I. 4x3 + 24x2 – 64x = 0
∴ 4x(x2 + 6x – 16) = 0
∴ 4x = 0 or x2 + 6x – 16 = 0 (Here 4x = 0 is
nothing but x = 0)
x2 + 6x – 16 = 0
∴ x2 + 8x − 2x – 16 = 0 ∴ (x − 2)(x + 8)
= 0 ∴ x = 2 or x = −8 x = −8, 0 or 2
2
II. 2𝑦 2 + 17𝑦 + 30 = 0
⇒ 2𝑦 2 + 12𝑦 + 5𝑦 + 30 = 0
5
⇒ (𝑦 + 6)(2𝑦 + 5) = 0 ⇒ 𝑦 = −6, −
2
x>y
37. Ans
I. 𝑥 2 − 2𝑥 − √5𝑥 + 2√5 = 0
⇒ (𝑥 − 2) (𝑥 − √5) = 0 ⇒ 𝑥 = 2, √5
II. 𝑦 2 − √3𝑦 − √2𝑦 + √6 = 0
⇒ (𝑦 − √3)(𝑦 − √2) = 0 ⇒ 𝑦 = √3, √2
x>y
II. 3y2 + 39y + 126 = 0
∴ y2 + 13y + 42 = 0
∴ y2 + 7y + 6y + 42 = 0 ∴ (y + 7)(y + 6) = 0
∴ y = –7 or y = –6 When x = −8, x < y
When x = 0 or 2, x > y Hence, no relation can
be established between x and y.
38. Ans
From equation I:
10x2 +57x +54 = (5x + 6)(2x + 9)= 0
=> x = -6/5, -9/2
From equation II:
y2 +13y -30 = (y -2)(y + 15) = 0
33. Ans
I. 2𝑥 2 − 15𝑥 + 27 = 0
⇒ 2𝑥 2 − 6𝑥 − 9𝑥 + 27 = 0
9
⇒ (𝑥 − 3)(2𝑥 − 9) = 0 ⇒ 𝑥 = 3,
2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
395
@Crossword2022
p + q=56 then p=0 so, 𝑞 > 𝑝
=> y = 2, -15
X = -6/5 X = -9/2
Y=2
x<y
x<y
Y = -15 x > y
x>y
So, relationship cannot be established
between x and y
44. Ans
From equation I:
10x2 -57x +54 = (2x -9)(5x -6)= 0
=> x = 9/2, 6/5
From equation II:
y2 +2y -255 = (y -15)(y + 17) = 0
=> y = 15, -17
So, relationship cannot be established between x
and y
39. Ans
From equation I:
10x2 +7x -45 = (5x -9)(2x + 5)= 0
=> x = 9/5, -5/2
From equation II:
y2 +5y -50 = (y + 10)(y -5) = 0
=> y = -10, 5
X = 9/5 X = -5/2
Y = -10 x > y
x>y
Y=5
x<y
x<y
So, relationship cannot be established
between x and y
45. Ans
From equation I:
10x2 -7x -45 = (5x + 9)(2x -5)= 0
=> x = -9/5, 5/2
From equation II:
y2 +4y -5 = (y + 5)(y -1) = 0
=> y = -5, 1
So, relationship cannot be established
between x and y
40. Ans
46. Ans
From equation I:
10x2 -31x -14 = (5x + 2)(2x -7)= 0
=> x = -2/5, 7/2
From equation II:
y2 +9y -136 = (y + 17)(y -8) = 0
=> y = -17, 8
So, relationship cannot be established
between x and y
2𝑝2 + 8𝑝 − 3𝑝 − 12 = 0
2𝑝(𝑝 + 4) − 3(𝑝 + 4) = 0
3
𝑝 = , −4
2
2𝑞 2 − 2𝑞 + 𝑞 − 1 = 0
2𝑞(𝑞 − 1) + 1(𝑞 − 1) = 0
−1
𝑞 = ,1
2
No relation can be established.
41. Ans
47. Ans
From equation I:
10x2 -37x -36 = (2x -9)(5x + 4)= 0
=> x = 9/2, -4/5
From equation II:
y2 -37y +336 = (y -16)(y -21) = 0
=> y = 16, 21
So, x < y
From equation I:
10x2 -9x +2 = (2x -1)(5x -2)= 0
=> x = 1/2, 2/5
From equation II:
y2 +46y +528 = (y + 22)(y + 24) = 0
=> y = -22, -24
So, x > y
42. Ans
48. Ans
From equation I:
10x2 -49x +18 = (5x -2)(2x -9)= 0
=> x = 2/5, 9/2
From equation II:
y2 +17y +60 = (y + 5)(y + 12) = 0
=> y = -5, -12
So, x > y
I. 𝑥 2 − 𝑥 − 6 = 0
⇒ 𝑥 2 − 3𝑥 + 2𝑥 − 6 = 0
⇒ 𝑥(𝑥 − 3) + 2(𝑥 − 3) = 0
⇒ (𝑥 + 2)(𝑥 − 3) = 0
⇒ 𝑥 = −2, 3
II. 2𝑦 2 + 13𝑦 + 21 = 0
⇒ 2𝑦 2 + 7𝑦 + 6𝑦 + 21 = 0
⇒ 𝑦(2𝑦 + 7) + 3(2𝑦 + 7) = 0
⇒ (𝑦 + 3)(2𝑦 + 7) = 0
7
⇒ 𝑦 = −3, −
43. Ans
𝑞 = 56
𝑝 + 𝑞 = ±56, 𝑝 = 0
If p + q=-56 then p= -112
2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
396
@Crossword2022
∴𝑥>𝑦
⇒ 𝑦 = 2,
49. Ans
11
3
No relation
2
I. 𝑥 = 4
⇒ 𝑥2 − 4 = 0
⇒ (𝑥 − 2)(𝑥 + 2) = 0
⇒ 𝑥 = 2, −2
II. 𝑦 2 + 6𝑦 + 9 = 0
⇒ 𝑦 2 + 3𝑦 + 3𝑦 + 9 = 0
⇒ 𝑦(𝑦 + 3) + 3(𝑦 + 3) = 0
⇒ (𝑦 + 3)(𝑦 + 3) = 0 ⇒ 𝑦 = −3
∴𝑥>𝑦
54. Ans
I. 2𝑥 2 + 9𝑥 + 9 = 0
⇒ 2𝑥 2 + 6𝑥 + 3𝑥 + 9 = 0
⇒ (𝑥 + 3)(2𝑥 + 3) = 0
3
⇒ 𝑥 = −3, −
2
II. 4𝑦 2 + 9𝑦 + 5 = 0
⇒ 4𝑦 2 + 4𝑦 + 5𝑦 + 5 = 0
⇒ (𝑦 + 1)(4𝑦 + 5) = 0
5
⇒ 𝑦 = −1, −
50. Ans
4
I. 2𝑥 + 3𝑦 = 4
II. 3𝑥 + 2𝑦 = 11
On (i) × 3 − (𝑖𝑖) × 2
x = 5, y = – 2
∴𝑥>𝑦
y>x
55. Ans
I. 𝑥 2 − 7𝑥 + 12 = 0
⇒ (𝑥 − 3)(𝑥 − 4) = 0
⇒ 𝑥 = 3, 4
II. 2𝑦 2 − 19𝑦 + 44 = 0
⇒ 2𝑦 2 − 8𝑦 − 11𝑦 + 44 = 0
⇒ (𝑦 − 4)(2𝑦 − 11) = 0
11
⇒ 𝑦 = 4,
51. Ans
I. 𝑥 2 − 7𝑥 + 12 = 0
⇒ 𝑥 2 − 4𝑥 − 3𝑥 + 12 = 0
⇒ 𝑥(𝑥 − 4) − 3(𝑥 − 4) = 0
⇒ (𝑥 − 3)(𝑥 − 4) = 0
⇒ 𝑥 = 3, 4
II. 𝑦 2 + 4𝑦 + 3 = 0
⇒ 𝑦 2 + 3𝑦 + 𝑦 + 3 = 0
⇒ 𝑦(𝑦 + 3) + 1(𝑦 + 3) = 0
⇒ (𝑦 + 1)(𝑦 + 3) = 0
⇒ 𝑦 = −1, = −3
∴ 𝑥>𝑦
2
y≥x
56. Ans
I. 𝑥 2 − 4𝑥 − 12 = 0
⇒ 𝑥 2 − 6𝑥 + 2𝑥 − 12 = 0
⇒ (𝑥 − 6)(𝑥 + 2) = 0
⇒ 𝑥 = 6, −2
II. 𝑦 2 − 5𝑦 − 14 = 0
⇒ 𝑦 2 − 7𝑦 + 2𝑦 − 14 = 0
⇒ (𝑦 − 7)(𝑦 + 2) = 0
⇒ 𝑦 = 7, −2
No relation
52. Ans
I. √361𝑥 + √16 = 0
⇒ 19𝑥 + 4 = 0
4
⇒𝑥= −
57. Ans
19
I. 3𝑥 2 − 22𝑥 + 40 = 0
⇒ 3𝑥 2 − 12𝑥 − 10𝑥 + 40 = 0
⇒ (𝑥 − 4)(3𝑥 − 10) = 0
10
⇒ 𝑥 = 4,
II. √441 𝑦 + 4 = 0
⇒ 21𝑦 + 4 = 0
4
⇒𝑦=−
21
∴𝑥<𝑦
3
II. 5𝑦 2 − 21𝑦 + 16 = 0
⇒ 5𝑦 2 − 5𝑦 − 16𝑦 + 16 = 0
⇒ (𝑦 − 1)(5𝑦 − 16) = 0
16
⇒ 𝑦 = 1,
x>y
53. Ans
I. 3𝑥 2 − 13𝑥 + 14 = 0
⇒ 3𝑥 2 − 6𝑥 − 7𝑥 + 14 = 0
⇒ (𝑥 − 2)(3𝑥 − 7) = 0
7
⇒ 𝑥 = 2,
5
58. Ans
3
II. 3𝑦 2 − 17𝑦 + 22 = 0
⇒ 3𝑦 2 − 6𝑦 − 11𝑦 + 22 = 0
⇒ (𝑦 − 2)(3𝑦 − 11) = 0
I.x 2 = 361
x  19
II.y 3 = =7269+731
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
397
@Crossword2022
y3 = 8000
y = 20
1
1
3
5
⇒ 𝑦 = − ,− ⇒x≤ y
x<y
64. Ans
59. Ans
From equation I:
15x2 -11x -56 = (3x -7)(5x + 8)= 0
=> x = 7/3, -8/5
From equation II:
y2 -8y -48 = (y -12)(y + 4) = 0
=> y = 12, -4
So, relationship cannot be established
between x and y
I. 𝑥 = √625 = +25
II. 𝑦 = √676 = +26
So, 𝑦 > 𝑥
60. Ans
I. 𝑥 2 + 4𝑥 + 4 = 0
(𝑥 + 2)2 = 0 ⇒ 𝑥 = −2
II. 𝑦 2 − 8𝑦 + 16 = 0
⇒ (𝑦 − 4)2 = 0 ⇒ 𝑦 = 4
∴𝑦>𝑥
65. Ans
I. 2x² + 5x + 3 = 0
⇒ (2x+ 3) (x+ 1) = 0
3
⇒ 𝑥 = − , −1
61. Ans
I. 𝑥 2 − (16)2 = (23)2 − 56
or 𝑥 2 − 256 = 529 − 56
∴ 𝑥 = √729 = ±27
II. 𝑦 1/3 − 55 + 376 = (18)2
or 𝑦1/3 = 324 + 55 − 376
∴ 𝑦 = (3)3 = 27
2
II. y²+ 9y + 14 = 0
⇒ (y + 7) (y+ 2) = 0
⇒ y = –7, -2 ⇒ x > y
66. Ans
∴𝑦≥𝑥
I. 88x² - 19x+ 1 =0
⇒ (8x – 1) (11x – 1) = 0
1 1
⇒𝑥 = ,
62. Ans
I. 9x2 – 39x + 40 = 0
9x2 – 24x – 15X + 40 = 0
3x(3x – 8) – 5(3x – 8) = 0
(3x – 8)(3x – 5) = 0
8 11
II. 132y² - 23y + 1 = 0
⇒ (11y - 1) (12y - 1) = 0
1 1
⇒𝑦 = ,
8
5
x , x
3
3
11 12
⇒𝑥 ≥𝑦
67. Ans
I. 6x² – 7x + 2 = 0
⇒ 6x² – 4x – 3x+ 2 = 0
⇒ (3x – 2) (2x – 1) = 0
2 1
⇒𝑥 = ,
II. 9y2 – 30y + 16 = 0
9y2 – 6y – 24y + 16 = 0
3y(3y – 2) – 8 (3y – 2) = 0
(3y – 8)(3y – 2) = 0
3 2
8 2
y ,
3 3
8
2
For x =
and y =
3
3
5
8
x>y
and =
3
3
II. 20y² – 31y + 12 = 0
⇒20y² – 16y – 15y + 12 = 0
⇒ (5y – 4) (4y - 3) = 0
4 3
⇒𝑦 = ,
5 4
⇒x<y
68. Ans
I. 3x² – 11x + 10 = 0
⇒ 3x² – 6x – 5x + 10 = 0
⇒ (x – 2) (3x – 5) = 0
5
⇒ x = 2, = 0
x<y
Therefore, relationship can’t be established
63. Ans
I. 6x² + 5x + 1 = 0
⇒ (3x + 1) (2x+ 1) = 0
1
1
⇒x= − ,−
3
3
7
⇒ y = 2,
5
No relation.
2
69. Ans
II. 15y² + 8y + 1 = 0
⇒ (3y + 1) (5y + 1) = 0
I. y² – 186 y + 8648 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
398
@Crossword2022
⇒ y² – 92y – 94y + 8648 = 0
⇒ (y – 92) (y – 94) = 0
⇒ y = 92, 94
II. x² – 172x + 7396 = 0
⇒ x² – 86x – 86x + 7396 = 0
⇒ (x – 86) ² = 0
⇒ x = 86, 86
y>x
⇒ (x – 10) (x + 2) = 0
Then, x = + 10 or x = – 2
II. 3y2 – 60y + 297 = 0
⇒ y2 – 20y + 99 = 0
[Dividing both sides by 3]
⇒ y2 – 11y – 9y + 99 = 0
⇒ y (y – 11) – 9 (y – 11) = 0
⇒ (y – 11) (y – 9) = 0
Then, y = + 11 or y = + 9
So, when x = + 10, x < y
for y = + 11 and x > y for y = + 9
And when x = – 2, x < y
for y = + 11 and x < y for y = + 9
∴ So, we can observe that one root value of x
lies between the root values of y. Therefore,
the relation between x and y can't be
determined.
70. Ans
I. 7x² – 24x + 20 = 0
⇒ 7x² – 14x – 10x + 20 = 0
⇒ (x – 2) (7x – 10)
10
⇒ x = 2,
7
II. 11y² – 36y + 9 = 0
⇒ 11y² – 33y – 3y + 9 = 0
⇒ (y – 3) (11y – 3) = 0
3
⇒ y = 3,
74. Ans
11
From equation I:
15x2 -13x -72 = (3x -8)(5x + 9)= 0
=> x = 8/3, -9/5
From equation II:
y2 -37y +336 = (y -16)(y -21) = 0
=> y = 16, 21
So, x < y
No relation.
71. Ans
I. 8y² – 44y + 20 = 0
⇒ 2y² – 11y + 5 = 0
⇒ 2y² – 10y – y + 5 = 0
⇒ (y – 5) (2y – 1) = 0
1
⇒ y = 5,
75. Ans
2
II. 6x² – 27x + 12 = 0
⇒ 2x² – 9x + 4 = 0
⇒ 2x² – 8x – x + 4 = 0
⇒ (x – 4) (2x – 1) = 0
1
⇒ 𝑥 = 4,
From equation I:
15x2 -17x -18 = (5x -9)(3x + 2)= 0 => x =
9/5, -2/3
From equation II:
y2 +14y -147 = (y -7)(y + 21) = 0
=> y = 7, -21
So, relationship cannot be established
between x and y
2
No relation
72. Ans
I. 3x² + 13x + 12 = 0
⇒ 3x² + 9x + 4x + 12 = 0
⇒ (x + 3) (3x + 4) = 0
⇒ x =– 3,
76. Ans
From equation I:
15x2 -19x -10 = (5x + 2)(3x -5)= 0
=> x = -2/5, 5/3
From equation II:
y2 -5y -204 = (y + 12)(y -17) = 0
=> y = -12, 17
So, relationship cannot be established between x
and y
–4
3
II. 4y² – 15y + 14 = 0
⇒ 4y² – 8y – 7y + 14 = 0
⇒ (y – 2) (4y – 7) = 0
7
⇒ y = 2,
4
y>x
77. Ans
73. Ans
I. 2x² + 11x + 14 = 0
⇒ 2x² + 4x + 7x + 14= 0
⇒ (x + 2) (2x + 7) = 0
⇒ x = -2, -7/2
I. x2 – 8x – 20 = 0
⇒ x2 – 10x + 2x – 20 = 0
⇒ x (x – 10) + 2 (x – 10) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
399
@Crossword2022
II. 2y² + 15y + 28= 0
⇒ 2y² + 8y + 7y + 28 = 0
⇒ (y + 4) (2y + 7) = 0
⇒ y = -4, -7/2 ⇒ x≥ y
15x2 -26x +7 = (5x -7)(3x -1)= 0
=> x = 7/5, 1/3
From equation II:
y2 +9y -322 = (y -14)(y + 23) = 0
=> y = 14, -23
So, relationship cannot be established
between x and y
78. Ans
I. 𝑥 2 − 8𝑥 − 3𝑥 + 24 = 0
𝑥(𝑥 − 8) − 3(𝑥 − 8) = 0
𝑥 = 3, 8
II. 2𝑦 2 − 6𝑦 − 3𝑦 + 9 = 0
2𝑦(𝑦 − 3) − 3(𝑦 − 3) = 0
3
𝑦 = 3,
85. Ans
I. 2x2 + 15x + 28 = 0
or, 2x2 + 8x + 7x + 28 = 0
or, 2x (x + 4) + 7 (x + 4) = 0
or, (2x + 7)(x + 4) = 0
7
∴ x = –4, –
2
2
∴ 𝑥≥𝑦
79. Ans
I. 𝑥 = ±59 II. 3𝑦 2 = 60
| ⇒ 𝑦 = ±√20
II. 2y2 + 13y + 21 = 0
or, 2y2 + 6y + 7y + 21 = 0
or, 2y( y + 3) + 7 (y + 3) = 0
or, (2y + 7) (y + 3) = 0
7
∴ y = –3, –
2
Hence, x ≤ y.
∴ No relation exists.
80. Ans
I. 𝑥 2 − 7𝑥 + 2𝑥 − 14 = 0
𝑥(𝑥 − 7) + 2(𝑥 − 7) = 0
𝑥 = 7, −2
II. 𝑦 2 + 5𝑦 + 2𝑦 + 10 = 0
𝑦 = −2, −5
𝑥≥y
86. Ans
21 11
+ =7
x x
21 +11
=7
x
32
=7
x
32
x=
7
I.
81. Ans
I. 5𝑥 2 + 5𝑥 − 3𝑥 − 3 = 0
5𝑥(𝑥 + 1) − 3(𝑥 + 1) = 0
3
𝑥 = , −1
5
II. 2𝑦 2 + 4𝑦 + 3𝑦 + 6 = 0
2𝑦(𝑦 + 2) + 3(𝑦 + 2) = 0
−3
𝑦 = , −2
2
𝑥>𝑦
82. Ans
II. 2y2 – 11y + 12 = 0
144
I. x = 289 +
= 297 |
18
𝐼𝐼. 𝑦 = 298
𝑥<𝑦
2y2 – 8y – 3y + 12 = 0
2y (y – 4) – 3 (y – 4) = 0
83. Ans
(2y – 3) (y – 4) = 0
y=3/2,4
x>y
From equation I:
15x2 -23x -28 = (5x + 4)(3x -7)= 0
=> x = -4/5, 7/3
From equation II:
y2 -25y +100 = (y -5)(y -20) = 0
=> y = 5, 20 So, x < y
87. Ans
From equation I:
x2 +26x +153 = (x + 9)(x + 17)= 0
=> x = -9, -17
From equation II:
84. Ans
From equation I:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
400
@Crossword2022
y2 +7y +12 = (y + 4)(y + 3) = 0
=> y = -4, -3
So, x < y
92. Ans
I. 𝑥 2 + 4𝑥 + 4 = 0
(𝑥 + 2)2 = 0
⇒ 𝑥 = −2
88. Ans
I. 𝑥 2 = 49
𝑥 = ±7
II.𝑦 2 − 4𝑦 − 21 = 0
𝑦 2 − 7𝑦 + 3𝑦 − 21 = 0
𝑦(𝑦 − 7) + 3(𝑦 − 7) = 0
(𝑦 − 7)(𝑦 + 3) = 0
𝑦 = 7 or − 3
No relation
II. 𝑦 2 − 8𝑦 + 16 = 0
⇒ (𝑦 − 4)2 = 0 ⇒ 𝑦 = 4
∴𝑦>𝑥
93. Ans
I.
15
−
9
1
= (𝑥)2
√𝑥 √𝑥
⇒ 𝑥=6
II. 𝑦 10 − (36)5 = 0
⇒ (𝑦 5 )2 = (65 )2
⇒ 𝑦 = 6, – 6 ⇒ 𝑥 ≥ 𝑦
89. Ans
I. 3𝑥 2 − 13𝑥 − 10 = 0
3𝑥 2 − 15𝑥 + 2𝑥 − 10 = 0
3𝑥(𝑥 − 5) + 2(𝑥 − 5) = 0
(𝑥 − 5)(3𝑥 + 2) = 0
−2
𝑥 = 5 or
94. Ans
From I, x 2 - 15x + 54 = 0
x2 – 6x - 9x + 54 = 0
x(x – 6) –9 (x – 6) = 0
(x – 6)(x - 9) = 0
x = 6, 9
From II, y 2 -24y + 135 = 0
y2 - 9y - 15y + 135 = 0
y (y - 9) – 15 (y - 9) = 0
(y - 9)(y - 15) = 0
y = 9, 15
So, y ≥ x
3
II.3𝑦 2 + 10𝑦 − 8 = 0
3𝑦 2 + 12𝑦 − 2𝑦 − 8 = 0
3𝑦(𝑦 + 4) − 2(𝑦 + 4) = 0
(𝑦 + 4)(3𝑦 − 2) = 0
2
𝑦 = −4 or
3
No relation
90. Ans
I. x² – 5x + 6 = 0
x² – 3x-2x + 6 = 0
(x-3) (x-2) = 0
⇒ x = 3, 2
II. y² + 7y + 10 = 0
⇒ (y + 2) (y + 5) = 0
⇒ y = – 2, – 5
x>y
95. Ans
1
I. (441)2 . 𝑥 2 − 111 = (15)2
336
⇒ 𝑥2 =
⇒ 𝑥 = 4, −4
21
II. √121𝑦 2 + 63 = 260
44
⇒ 𝑦2 =
11
⇒ 𝑦 = 2, −2
⇒ No relation between 𝑥 and 𝑦.
91. Ans
From I:
2x2 – x – 1 = 0
2x2 – 2x + x – 1 = 0
2x(x – 1) + 1(x – 1) = 0
(x – 1)(2x + 1) = 0
x = -1/2 or 1
From II:
3y2 – 28y + 32 = 0
3y2 – 24y – 4y + 32 = 0
3y(y – 8) – 4(y – 8) = 0
(y – 8)(3y – 4) = 0
y = 4/3 or 8
Therefore, x < y
96. Ans
From 1: 15x2 - 4x = 3
=> 15x2 - 4x - 3 = 0
=> 15x2 + 5x - 9x - 3= 0
=>5x(3x + 1)-3(3x + 1) = 0
=>(5x - 3)(3x + 1) = 0 =>x=-1/3 , 3/5
From II: 15y2 - 13y = -2
=>15y2-13y + 2 = 0
=> 15y2-3y - 10y + 2 = 0
=>3y(5y - 1) - 2(5y - 1) = 0
=>(3y - 2)(5y - 1) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
401
@Crossword2022
y=2/3 , 1/5
So, CND
30y2 – 12y – 5y + 2 = 0
6y (5y – 2) – 1 (5y – 2) = 0
(6y – 1) (5y – 2) = 0
y 1 2
,
= 6 5
After comparison of both equations, the
conclusion is x ≥ y
103. Ans
97. Ans
I. 3𝑥 2 − 13𝑥 + 14 = 0
⇒ 3𝑥 2 − 6𝑥 − 7𝑥 + 14 = 0
⇒ (𝑥 − 2)(3𝑥 − 7) = 0
7
⇒ 𝑥 = 2,
3
II. 𝑦 2 − 7𝑦 + 12 = 0
⇒ (𝑦 − 4)(𝑦 − 3) = 0
⇒ 𝑦 = 4, 3 ⇒ x<y
I.45x 2 +17 15x + 24 = 0
45x 2 + 9 15x + 8 15x + 24 = 0
98. Ans
From eq. (i) and (ii), multiplying by 13 in eq.
(i) and by 5 in eq. (ii)
65𝑥 − 91𝑦 = −312
65𝑥 + 15𝑦 = 430
Solving eqns. 𝑦 = +7, 𝑥 = 5
𝑥<𝑦
3 15x ( 15x + 3) + 8( 15x + 3) = 0
( 15x + 3)(3 15x + 8) = 0
x = -3 15x, -8 / 3 15
II. y2 + 7y + 12 = 0
y2 + 4y + 3y + 12 =0
y(y + 4) + 3(y + 4) = 0
(y + 4) (y + 3) = 0
y = -4,-3
x>y
104. Ans
99. Ans
From equation I:
x2 +x -6 = (x -2)(x + 3)= 0
=> x = 2, -3
From equation II:
y2 -11y +18 = (y -2)(y -9) = 0
=> y = 2, 9
So, x ≤ y
100. Ans
From equation I:
x2 -22x +40 = (x -20)(x -2)= 0
=> x = 20, 2
From equation II:
y2 -3y -130 = (y -13)(y + 10) = 0
=> y = 13, -10
So, relationship cannot be established
between x and y
101. Ans
𝑥 = 22, −22
𝑦 2 − 22𝑦 − 23𝑦 + 506 = 0
𝑦(𝑦 − 22) − 23(𝑦 − 22) = 0
𝑦 = 22, 23
𝑥≤𝑦
102. Ans
I. 35x2 – 39x + 10 = 0
35x2 – 25x – 14x + 10 = 0
5x (7x – 5) – 2 (7x – 5) = 0
(5x – 2) (7x – 5) = 0
2
5
x=
,
5
7
II. 30y2 + 2 = 17y
30y2 – 17y + 2 = 0
4
6
+
=5 x
x
x
4+6
=5 x
x
10 = 5x
x=2
I.
II.y 2 + 256 = 625
y 2 +16 = 25
y 2 = 25 -16
y2 = 9
y±3
While comparing the values of x and y , one
root value of y lies between the two root value
of x
105. Ans
(I) x = ∛343 => x = 7
(II) y 2 - 25 = 0
=> y2 = 25
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
402
@Crossword2022
=> y = ± 5
When x = 7 and y = 5, then x > y
When x = 7 and y = -5, then x > y
Thus, x > y
106. Ans
I. 8x2 – 23x + 15 = 0
8x2 – 8x – 15x + 15 = 0
8x (x – 1) – 15 (x – 1) = 0
(8x – 15) (x – 1) = 0
15
x= ,1
8
110. Ans
I.
4
7
𝑥
𝑥 2 = 36
10
II. 𝑦 3 = 999 − 783
=𝑥7
|
|
𝑦 3 = 216
𝑥 = ±6
𝑦=6
∴ 𝑥≤𝑦
111. Ans
(i)x² – 13x – 48 = 0
x² - 16x + 3x – 48 = 0
x (x – 16) + 3 (x – 16) = 0
(x + 3) (x – 16) = 0
x = – 3, 16
(ii)y² – y – 72 = 0
y² – 9y + 8y – 72 = 0
y (y – 9) + 8 (y – 9) = 0
(y + 8) (y – 9) = 0
y = –8, 9
No relation between x and y
112. Ans
I. 14𝑥 2 − 37𝑥 + 24 = 0
⇒ 14𝑥 2 − 16𝑥 − 21𝑥 + 24 = 0 |
⇒ 2𝑥(7𝑥 − 8) − 3(7𝑥 − 8) = 0 |
3 8
⇒𝑥= ,
2 7
II. 28𝑦 2 − 53𝑦 + 24 = 0
⇒ 28𝑦 2 − 53𝑦 + 24 = 0
⇒ 28𝑦 2 − 21𝑦 − 32𝑦 + 24 = 0
⇒ 7𝑦(4𝑦 − 3) − 8(4𝑦 − 3) = 0
8 3
𝑦= ,
7 4
𝑥≥𝑦
II. 3y2 + 11y + 8 = 0
3y2 + 3y + 8y + 8 = 0
3y (y + 1) + 8 (y + 1) = 0
(3y + 8) (y + 1) = 0
y = 8, –
–
31
Hence, x > y
107. Ans
I. 2x2 – 19x + 42 = 0
2x2 – 12x – 7x + 42 = 0
2x (x – 6) – 7 (x – 6) = 0
(2x – 7) (x – 6) = 0
7
x= ,6
2
II. 20y2 – 89y + 99 = 0
20y2 – 45y – 44y + 99 = 0
5y (4y – 9) – 11 (4y – 9) = 0
(5y – 11) (4y – 9) = 0
11
y = , 2.25
5
Hence, x > y
113. Ans
I. x² – 27x + 180 = 0
x² – 12x – 15x + 180 = 0
x (x – 12) –15(x – 12) = 0
(x – 15) (x – 12) = 0
x = 15, 12
II. y² – 7y – 60 = 0
y² – 12y + 5y – 60 = 0
y (y – 12) +5 (y – 12) = 0
(y + 5) (y – 12) = 0
y= -5, 12 ⇒ x ≥ y
114. Ans
I. x² – 59x + 868 = 0
x² – 28x – 31x + 868 = 0
108. Ans
I. 𝑥 2 − 8𝑥 − 3𝑥 + 24 = 0
|
𝑥 = 3, 8
II. 2𝑦 2 − 6𝑦 − 3𝑦 + 9 = 0
𝑦 = 1.5, 3
⇒𝑥≥𝑦
109. Ans
1 2
𝑥 3 247
294
I. 2 =
II. 𝑦 3+3 =
𝑥
13 |
14
𝑥 = 19
∴ 𝑥<𝑦
48 − 12
𝑦 = 21
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
403
@Crossword2022
x (x – 28) – 31 (x – 28) = 0
(x – 31) (x – 28) = 0
x = 28, 31
II. y² – 53y + 702 = 0
y² – 27y – 26y + 702 = 0
y (y – 27) – 26(y – 27) = 0
(y– 27) (y – 26) = 0
y = 26, 27 ⇒ x > y
115. Ans
I. 100x² – 120x + 32 = 0
100x² – 40x – 80x + 32 = 0
20x (5x – 2) – 16(5x – 2) = 0
(20x – 16) (5x – 2) = 0
4 2
𝑥= ,
5 5
II. 10y² – 17y + 6 = 0
10y² – 12y – 5y + 6 = 0
2y (5y – 6) – 1 (5y – 6) = 0
(2y – 1) (5y – 6) = 0
1 6
𝑦 = , ⇒ No relation
⇒ 𝑥 = 2,
7
3
II. 3𝑦 2 − 17𝑦 + 22 = 0
⇒ 3𝑦 2 − 6𝑦 − 11𝑦 + 22 = 0
⇒ (𝑦 − 2)(3𝑦 − 11) = 0
11
⇒ 𝑦 = 2,
3
No relation
119. Ans
I. 2𝑥 2 + 9𝑥 + 9 = 0
⇒ 2𝑥 2 + 6𝑥 + 3𝑥 + 9 = 0
⇒ (𝑥 + 3)(2𝑥 + 3) = 0
3
⇒ 𝑥 = −3, −
2
II. 4𝑦 2 + 9𝑦 + 5 = 0
⇒ 4𝑦 2 + 4𝑦 + 5𝑦 + 5 = 0
5
⇒ (𝑦 + 1)(4𝑦 + 5) = 0 ⇒ 𝑦 = −1, −
4
y>x
120. Ans
I. 𝑥 2 − 7𝑥 + 12 = 0
⇒ (𝑥 − 3)(𝑥 − 4) = 0
⇒ 𝑥 = 3, 4
II. 2𝑦 2 − 19𝑦 + 44 = 0
⇒ 2𝑦 2 − 8𝑦 − 11𝑦 + 44 = 0
⇒ (𝑦 − 4)(2𝑦 − 11) = 0
11
⇒ 𝑦 = 4,
2 5
116. Ans
I. 15x² – 22x + 8 = 0
15x² – 12x – 10x + 8 = 0
3x (5x – 4) –2 (5x – 4) = 0
(5x – 4) (3x– 2) = 0
4 2
𝑥= ,
5 3
II. 12y² – 5y – 2 = 0
12y² – 8y + 3y – 2 = 0
4y (3y – 2) + 1 (3y – 2) = 0
(4y + 1) (3y – 2) = 0
1 2
𝑦 = − , ⇒x≥y
2
y≥x
121. Ans
I. 𝑥 2 − 4𝑥 − 12 = 0
⇒ 𝑥 2 − 6𝑥 + 2𝑥 − 12 = 0
⇒ (𝑥 − 6)(𝑥 + 2) = 0
⇒ 𝑥 = 6, −2
II. 𝑦 2 − 5𝑦 − 14 = 0
⇒ 𝑦 2 − 7𝑦 + 2𝑦 − 14 = 0
⇒ (𝑦 − 7)(𝑦 + 2) = 0
⇒ 𝑦 = 7, −2
No relation
122. Ans
I. 3𝑥 2 − 22𝑥 + 40 = 0
⇒ 3𝑥 2 − 12𝑥 − 10𝑥 + 40 = 0
⇒ (𝑥 − 4)(3𝑥 − 10) = 0
10
⇒ 𝑥 = 4,
4 3
117. Ans
I. x²+ 8x + 15 = 0
x² + 5x + 3x + 15 = 0
x (x + 5) + 3 (x+ 5) = 0
(x + 5) (x + 3) = 0
x = –5, –3
II. y² – 2y – 8 = 0
y² – 4y + 2y – 8 = 0
y (y – 4) + 2(y – 4) = 0
(y – 4) (y + 2) = 0
y= –2, 4 ⇒ x < y
118. Ans
I. 3𝑥 2 − 13𝑥 + 14 = 0
⇒ 3𝑥 2 − 6𝑥 − 7𝑥 + 14 = 0
⇒ (𝑥 − 2)(3𝑥 − 7) = 0
3
II. 5𝑦 2 − 21𝑦 + 16 = 0
⇒ 5𝑦 2 − 5𝑦 − 16𝑦 + 16 = 0
⇒ (𝑦 − 1)(5𝑦 − 16) = 0
16
⇒ 𝑦 = 1,
5
x>y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
404
@Crossword2022
123. Ans
I. x3 – 4913 = 0
or, x3 = 4913
x = 17
II. y2 = 361
or, y = ± 19
While comparing the root values of x and y,
we find that one root value of x lies between
the root values of y. Therefore, the
relationship between x and y can't be
established.
124. Ans I. x2 = 361
x = ± 19
II. y3 = 7269 + 731
y3 = 8000
y = 20
x<y
125. Ans
I. 15x2 + x – 6 = 0
15x2 + 10x – 9x – 6 = 0
5x (3x + 2) – 3 (3x + 2) = 0
(5x – 3) (3x + 2) = 0
3 2
x= ,–
5 3
II. 5y2 – 23y + 12 = 0
5y2 – 20y – 3y + 12 = 0
5y (y – 4) – 3 (y – 4) = 0
(y – 4) (5y – 3) = 0
3
y = 4,
5
x≤y
126. Ans
I. 2x² + 11x + 14 = 0
⇒ 2x² + 4x+ 7x+ 14 = 0
7
⇒ (x+ 2) (2x+ 7) = 0 ⇒ x = -2,-
or, 3y2 – 6y – 5y + 10 = 0
or, 3y(y – 2) – 5(y – 2) = 0
or, (3y – 5)(y – 2) = 0
5
∴ y = 2,
3
Hence, x > y
128. Ans
I. 3y²–13y – 38 = 0
⇒ 3y² – 19y + 6y – 38 = 0
⇒ y (3y–19) + 2(3y–19) = 0
19
⇒ (3y–19) (y+2) = 0 ⇒ y = – 2,
3
II. 5x² + 17x–54 = 0
⇒ 5x² + 27x –10x –54 = 0
⇒ x(5x+27) – 2 (5x+27) = 0
⇒ (x–2) (5x+27) = 0
27
⇒ x = 2, –
5
No relation
129. Ans
I. 4x + 7y = 12
II. 5x + 6y = 16
Multiplying eq. (i) with 5 and eq. (ii) with 4
and subtracting eq. (i) from eq (ii), we get
20𝑥 + 24𝑦 = 64
20𝑥 + 35𝑦 = 60
–
–
–
– 11y = 4
4
y=–
11
Put this value of y in eq. (i)
28
4x – = 12
11
⇒x=3+
=
11
⇒x>y
130. Ans
I. 𝑥 2 – 122𝑥 + 2632 = 0
⇒ 𝑥 2 – 94𝑥– 28𝑥 + 2632 = 0
⇒ 𝑥(𝑥 − 94) − 28(𝑥 − 94)
⇒ (𝑥 − 94)(𝑥 − 28) = 0
⇒ 𝑥 = 94, 28
II. 𝑦 2 – 112𝑦 + 2236 = 0
⇒ 𝑦 2 – 86𝑦 − 26𝑦 + 2236 = 0
⇒ (𝑦 − 86)(𝑦 − 26) = 0
y = 86, 26
No relation
2
II. 2y² + 15y + 28 = 0
⇒ 2y² + 8y+ 7y+ 28 = 0
−7
⇒ (y+ 4) (2y+ 7) = 0 ⇒ y = -4,
x≥y
127. Ans
I. x2 – 7x + 12 = 0
or, x2 – 4x – 3x + 12 = 0
or, x(x– 4) – 3 (x – 4) = 0
or, x(x – 4) – 3 (x – 4) = 0
or, (x – 4)(x – 3) = 0
∴ x = 3, 4
II. 3y2 – 11y + 10 = 0
40
7
11
2
131. Ans
I. 7𝑦 2 + 23𝑦 + 16 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
405
@Crossword2022
⇒ 7𝑦 2 + 7𝑦 + 16𝑦 + 16 = 0
⇒ (y+1) (7y+16) = 0
16
⇒ 𝑦 = −1, −
y2 -4y -140 = (y -14)(y + 10) = 0
=> y = 14, -10
So, x ≥ y
136. Ans
I. 56x2 + 15x – 56 = 0
or, 56x2 + (64 – 49)x – 56 = 0
or, 56x2 + 64x – 49x – 56 = 0
or, 8x (7x + 8) – 7 (7x + 8) = 0
(7x + 8) (8x – 7) = 0
x = 7/8, -8/7
II. 7y2 – 34y – 48 = 0
or, 7y2 – (42 – 8)y – 48 = 0
or, 7y2 – 42y + 8y – 48 = 0
or, 7y (y – 6) + 8 (y – 6) = 0
(7y + 8) (y – 6) = 0
y = -8/7, 6
While comparing the values of x and y, one root
value of y lies between the root values of x
137. Ans
7
II. 9𝑥 2 − 27𝑥 + 14 = 0
⇒ 9𝑥 2 − 6𝑥 − 21𝑥 + 14 = 0
⇒ 3𝑥(3𝑥 − 2) − 7(3𝑥 − 2) = 0
2 7
⇒ (3𝑥 − 2)(3𝑥 − 7) = 0 ⇒ 𝑥 = ,
3 3
x>y
132. Ans
I. 𝑥 2 + 74𝑥 − 656 = 0
⇒ 𝑥 2 + 82𝑥 − 8𝑥 − 656 = 0
⇒ (𝑥 + 82)(𝑥 − 8) = 0
⇒ 𝑥 = −82, 8
II. 𝑦 2 + 68𝑦 − 444 = 0
⇒ 𝑦 2 + 74𝑦 − 6𝑦 − 444 = 0
⇒ (𝑦 + 74)(𝑦 − 6) = 0 ⇒ 𝑦 = 6, – 74
No relation
133. Ans
I. x2 – 8x + 15 = 0
or, x2 – 5x – 3x + 15 = 0
or, x(x – 5) – 3 (x – 5) = 0
or, (x – 5)(x – 3) = 0
∴ x = 5, 3
II. y2 – 12y + 36 = 0
or, y2 – 6y – 6y + 36 = 0
or, y(y – 6) – 6 (y – 6) = 0
or, (y – 6) (y – 6) = 0
∴ y = 6, 6
Hence, x < y. Hence, option A is correct.
134. Ans
I. 143x2 + 43x – 66 = 0
or, 143x2 + (121 – 78)x – 66 = 0
or, 143x2 + 121x – 78x – 66 = 0
or, 11x (13x + 11) – 6 (13x + 11) = 0
or, (13x + 11) (11x – 6) = 0
x = 6/11, - 11 /13
II. 33y2 – 40y + 12 = 0
or, 33y2 – (22 + 18)y + 12 = 0
or, 33y2 – 22y – 18y + 12 = 0
or, 11y (3y – 2) – 6 (3y – 2) = 0
or, (11y – 6) (3y – 2) = 0
y = 6/11, 2/3
x≤y
135. Ans
From equation I:
x2 -30x +224 = (x -14)(x -16)= 0
=> x = 14, 16
From equation II:
I.45x 2 +17 15x + 24 = 0
45x2  9 15x  8 15x  24  0
3 15 x ( 15 x  3)  8( 15 x  3)  0
( 15 x  3)(3 15 x  8)  0
x  3 15 x , 8 / 3 15
II. y2 + 7y + 12 = 0
y2 + 4y + 3y + 12 =0
y(y + 4) + 3(y + 4) = 0
(y + 4) (y + 3) = 0
y = -4,-3
x>y
138. Ans
I. 3x² + 10x + 8 = 0
⇒ 3x² + 6x + 4x + 8 = 0
⇒ (x + 2) (3x + 4) = 0
⇒ x = –2, –4/3
II. 3y² + 7y + 4 = 0
⇒ 3y² + 3y + 4y + 4 = 0
⇒ (y + 1) (3y + 4) = 0 ⇒ y = –1, –4/3
y≥x
139. Ans
I. 2x² + 21x + 10 = 0
⇒ 2x² + 20 + x + 10 = 0
⇒ (x + 10) (2x + 1) = 0
⇒ x = –10, –1/2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
406
@Crossword2022
II. 3y² + 13y + 14 = 0
⇒ 3y² + 6y + 7y + 14 = 0
⇒ (y + 2) (3y + 7) = 0
⇒ y = –2, –7/3 No relation
140. Ans
I. x² + x – 12 = 0
⇒ x² + 4x – 3x – 12 = 0
⇒ (x + 4) (x – 3) = 0 ⇒ x = 3, –4
II. y² + 2y – 8 = 0
⇒ y² + 4y – 2y – 8 = 0
⇒ (y + 4) (y – 2) = 0 ⇒ y = – 4, 2
No relation
141. Ans
I. 4x² – 13x + 9 = 0
⇒ 4x² – 4x – 9x + 9 = 0
⇒ (x – 1) (4x – 9) = 0
⇒ x = 1, 9/4
II. 3y² – 14y + 16 = 0
⇒ 3y² – 6y – 8y + 16 = 0
⇒ (y – 2) (3y – 8) = 0
⇒ y = 2, 8/3
No relation
142. Ans
I. 8x² + 18x + 9 = 0
⇒ 8x² + 12x + 6x + 9 = 0
⇒ (2x + 3) (4x + 3) = 0
⇒ x = –3/2, –3/4
II. 4y² + 19y + 21 = 0
⇒ 4y² + 12y + 7y + 21 = 0
⇒ (y + 3) (4y + 7) = 0
⇒ x = –3, –7/4
x >y
143. Ans
I. 3x² + 16x + 21 = 0
⇒ 3x² + 9x + 7x + 21 = 0
⇒ (x + 3) (3x + 7) = 0
⇒ x = –3, –7/3
II. 6y² + 17y + 12 = 0
⇒ 6y² + 9y + 8y + 12 = 0
⇒ 3y (2y + 3) + 4 (2y + 3) = 0
⇒ y = – 3/2, –4/3
y>x
144. Ans
I. 16x² + 20x + 6 = 0
⇒ 8x² + 10x + 3 = 0
⇒ 8x² + 4x + 6x + 3 = 0
⇒ (2x + 1) (4x + 3) = 0
⇒ x = –1/2, –3/4
II. 10y² + 38y + 24 = 0
⇒ 5y² + 19y + 12 = 0
⇒ 5y² + 15y + 4y + 12 = 0
⇒ (y + 3) (5y + 4) = 0
y = –3, –4/5
x>y
145. Ans
I. x2 + 9x + 20 = 0
or, x2 + 4x + 5x + 20 = 0
or, x(x + 4) + 5 (x + 4) = 0
or, (x + 4) (x + 5) = 0
x = -4, -5
II. y2 = 16
y = 16 = ± 4
While comparing the x and y values, we got
one value of x is equal to y and other values is
less than the root values of y.
Hence, x ≤ y.
146. Ans
I. 72x2 – 101x + 35 = 0
or, 72x2 – (56 + 45)x + 35 = 0
or, 72x2 – 56x – 45x + 35 = 0
or, 8x (9x – 7) – 5 (9x – 7) = 0
(8x – 5) (9x – 7) = 0
x = 5/8, 7/9
II. 45y2 – 62y + 21 = 0
or, 45y2 – (35 + 27)y + 21 = 0
or, 45y2 – 35y – 27y + 21 = 0
or, 5y (9y – 7) – 3 (9y – 7) = 0
(5y – 3) (9y – 7) = 0
y = 3/5, 7/9
While comparing the values of x and y, one
root value of x lies between the two root
values of y
147. Ans
I. 8x² + 26x + 15 = 0
⇒ 8x² + 20x + 6x + 15 = 0
⇒ 4x (2x + 5) + 3(2x + 5) = 0
⇒ (2x + 5) (4x + 3) = 0 ⇒ x = – 5/2, –3/4
II. 4y² + 24y + 35 = 0
⇒ 4y² + 10y + 14y + 35 = 0
⇒ 2y (2y + 5) + 7 (2y + 5) = 0
⇒ (2y + 5) (2y + 7) = 0
⇒ y = –5/2, –7/2
x≥y
148. Ans
I. 6x² + 19x + 15 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
407
@Crossword2022
⇒ 6x² + 9x + 10x + 15 = 0 ⇒ (2x + 3) (3x +
5) = 0
⇒ x = –3/2, –5/3
II. 24y² + 11y + 1 = 0
⇒ 24y² + 8y + 3y + 1= 0
⇒ (3y + 1) (8y + 1) = 0 ⇒ y = –1/3, –1/8
y>x
149. Ans
I. 2x² + 11x + 15 = 0
⇒ 2x² + 6x + 5x + 15 = 0
⇒ (x + 3) (2x + 5) = 0 ⇒ x = – 3, –5/2
II. 4y² + 22y + 24 = 0
⇒ 2y² + 11y + 12 = 0
⇒ 2y² + 8y + 3y + 12 = 0
⇒ (y + 4) (2y + 3) = 0 ⇒ y = –4, –3/2
No relation
150. Ans
I. 2x² + 9x + 9 = 0
⇒ 2x² + 6x + 3x + 9 = 0
⇒ (x + 3) (2x + 3) = 0
⇒ x = –3, –3/2
153. Ans
I. x² – 9x + 18 = 0
x² – 6x – 3x + 18 = 0
x(x – 6) –3 (x -6) = 0
(x – 3) (x – 6)= 0
x= 3, 6
II. 5y² – 22y + 24 = 0
5y² – 10y – 12y + 24 = 0
5y(y- 2) –12 (y – 2) = 0
(y – 2) (5y – 12) = 0
12
𝑦 = 2,
5
∴x>y
154. Ans
I. 6x² + 11x + 5 = 0
6x² + 6x + 5x + 5 = 0
6x (x + 1) + 5 (x + 1) = 0
(x+ 1) (6x +5)= 0
5
𝑥 = 1, −
6
II. 2y² + 5y + 3 = 0
2y² + 2y + 3y + 3 = 0
2y(y+ 1) + 3 (y+ 1) = 0
(y+ 1) (2y + 3) = 0
3
𝑦 = −1, −
2
∴𝑥≥𝑦
155. Ans
I. x² + 10x + 24 = 0
x² +6x + 4x + 24 = 0
x(x + 6) +4 (x+ 6)= 0
(x + 4) (x + 6) = 0
x = –4, –6
II. y² – √625 = 0
𝑦² = √625
𝑦 2 = 25; 𝑦 = ±5
∴ Relationship between x and y cannot be
determined
156. Ans
I. 10x² +11x + 1= 0
10x² + 10x+ x+ 1 = 0
10x (x + 1) + 1 (x + 1) = 0
(x + 1) (10x + 1)= 0
1
𝑥 = −1, −
10
II. 15y² + 8y + 1 = 0
15y² +5y + 3y + 1 = 0
5y (3y + 1)+ 1 (3y+ 1) = 0
II. 2y² + 17y + 36 = 0
⇒ 2y² + 8y + 9y + 36 = 0
⇒ (y + 4) (2y + 9) = 0
y = – 4, –9/2
x>y
151. Ans
I. 5x² + 29 + 20 = 0
⇒ 5x² + 25x + 4x + 20 = 0
⇒ (x + 5) (5x + 4) = 0 ⇒ x = –5, –4/5
II. 25y² + 25y + 6 = 0
⇒ 25y² + 15y + 10y + 6 = 0
⇒ (5y + 3) (5y + 2) = 0
⇒ y = – 3/5, –2/5
y>x
152. Ans
I. 3x² – 16x + 21 = 0
⇒ 3x² – 9x – 7x + 21 = 0
⇒ (x – 3) (3x – 7) = 0
⇒ x = 3, 7/3
II. 3y² – 28y + 65 = 0
⇒ 3y² – 15y – 13y + 65 = 0
⇒ (y – 5)(3y – 13) = 0
⇒ y = 5, 13/3
y>x
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
408
@Crossword2022
(3y + 1) (5y + 1)= 0
1
1
𝑦 = − ,−
3
161. Ans
I. x5 – 41x3 + 400x = 0
∴ x(x4 – 41x2 + 400) = 0
∴ x = 0 or x4 – 41x2 + 400 = 0
Let x2 = a
∴ a2 – 41a + 400 = 0 ∴ a2 – 25a − 16a + 400 = 0
∴ (a – 16)(a – 25) = 0
∴ a = 16 or a = 25
∴ x2 = 16 or x2 = 25 ∴ x = ±4 or x
= ±5 ∴ x = −5 or −4 or 0 or 4 or 5
II. y2 – 14y + 30 = −18
∴ y2 – 14y + 48 = 0 ∴ y2 – 8y − 6y + 48 = 0
∴ (y – 6)(y – 8) = 0
∴ y = 6 or y = 8
For both values of y, x < y.
162. Ans
I. x2 – 25x + 114 = 0
∴ x2 – 19x – 6x + 114 = 0
∴ (x – 6)(x – 19) = 0
∴ x = 19 or x = 6
5
∴ Relationship between x and y cannot be
determined
157. Ans
I. 15x² – 11x + 2 = 0
15x² – 5x – 6x + 2 = 0
5x(3x – 1) – 2 (3x – 1)= 0
(3x – 1) (5x – 2)= 0
1 2
𝑥= ,
3 5
II. 10y² – 9y + 2 = 0
10y² – 5y – 4y + 2 = 0
5y(2y – 1) –2 (2y – 1) = 0
(2y – 1) (5y - 2)=0
1 2
𝑦= ,
2 5
∴x≤y
158. Ans
I. √𝑥. √𝑥 = √6 ⇒ 𝑥 = √6
3
II. 𝑦 = 6
3
2
1
3 3
2
1
II. y2 – 10y + 24 = 0
∴ y2 – 6y – 4y + 24 = 0
∴ (y – 4)(y – 6) = 0
∴ y = 6 or y = 4
When x = 19, x > y
When x = 6, x ≥ y
Hence, x ≥ y
163. Ans
I. 𝑥 2 − 24𝑥 + 144 = 0
𝑜𝑟, 𝑥 2 − 12𝑥 − 12𝑥 + 144 = 0
𝑜𝑟, 𝑥(𝑥 − 12) − 12(𝑥 − 12) = 0
or, (𝑥 − 12)2 = 0
∴ 𝑥 = 12
II. 𝑦 2 − 26𝑦 + 169 = 0
𝑜𝑟, 𝑦 2 − 13𝑦 − 13𝑦 + 169 = 0
𝑜𝑟, 𝑦(𝑦 − 13) − 13(𝑦 − 13) = 0
𝑜𝑟, (𝑦 − 13)2 = 0
∴ 𝑦 = 13
Hence, x < y
164. Ans
2𝑦 2 + 3𝑥 − 20 = 0
Or, 2𝑥 2 + 8𝑥 − 5𝑥 − 20 = 0
𝑜𝑟, 2𝑥(𝑥 + 4) − 5(𝑥 + 4) = 0
𝑜𝑟, (2𝑥 − 5)(𝑥 + 4) = 0
5
𝑜𝑟, 𝑥 = , −4
⇒ 𝑦 = (6 ) = 62 = √6
x=y
159. Ans
I. 117x2 + 128x + 35 = 0
117x2 + 65x + 63x + 35 = 0
13x (9x + 5) + 7 (9x +5) = 0
(13x + 7) (9x + 5) = 0
x = – 7/13, – 5/9
II. 39y2 – 31y – 28 = 0
39y2 – 52y + 21y – 28 = 0
13y (3y – 4) + 7 (3y – 4) = 0
(3y – 4) (13y + 7) = 0
y = 4/3, – 7/13
x≤y
160. Ans
I. 𝑥 2 + 𝑥 − 12 = 0
𝑥 2 + 4𝑥 − 3𝑥 − 12 = 0
𝑥(𝑥 + 4) − 3(𝑥 + 4) = 0
(𝑥 + 4)(𝑥 − 3) = 𝑥 = −4, 3
II. 𝑦 2 − 5𝑦 + 6 = 0
𝑦 2 − 3𝑦 − 2𝑦 + 6 = 0
𝑦(𝑦 − 3) − 2(𝑦 − 3) = 0
(𝑦 − 3)(𝑦 − 2) = 0
𝑦 = 3, 2
no relation
2
II. 2𝑦 2 + 19𝑦 + 44 = 0
Or, 2𝑦 2 + 11𝑦 + 8𝑦 + 44 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
409
@Crossword2022
or, y(2y + 11) + 4(2y + 11) = 0
or, (y + 4)(2y + 11) = 0
11
y = −4, −
Hence, x ≥ y
22 x 2  (8 11  2 11) x  8  0
2 11x( 11x  4)  2( 11x  4)  0
2
(2 11x  2)( 11x  4)  0
165. Ans
I. 6x 2 + 77x + 121 = 0
or, 6x 2 + 66x + 11x + 121 = 0
or, 6x(x + 11) + 11(x + 11) = 0
or, (6x + 11)(x + 11) = 0
11
or, x = − , −11
x  1/ 11, 4 / 11
6
II. y 2 + 9y − 22 = 0
or, y 2 + 11y − 2y − 22 = 0
or, y(y + 11) − 2(y + 11)
or, (y − 2)(y + 11) = 0
or, y = 2, −11
Hence, no relationship can be established between
x and y.
166. Ans
I. x 2 − 6x = 7
or, x 2 − 6x − 7 = 0
or, x 2 − 7x + x − 7 = 0
or, x(x − 7) + 1(x − 7) = 0
or, (x + 1)(x − 7) = 0
or, x = – 1, 7
II. 2y 2 + 13y + 15 = 0
or, 2y 2 + 10y + 3y + 15 = 0
or, 2y(y + 5) + 3(y + 5) = 0
or, (2y + 3)(y + 5) = 0
3
or, y = − , −5
2
Hence, x > y
167. Ans
I. 10x 2 − 7x + 1 = 0
or, 10x 2 − 5x − 2x + 1 = 0
or, 5x(2x − 1) − 1(2x − 1) = 0
or, (5x − 1)(2x − 1) = 0
1 1
or, x = ,
5 2
II. 35y 2 − 12y + 1 = 0
or, 35y 2 − 7y − 5y + 1 = 0
or, 7y(5y − 1) − 1(5y − 1) = 0
or, (7y − 1)(5y − 1) = 0
1 1
or, y = , Hence, x ≥ y
7 5
168. Ans
Hence, x > y
169. Ans
I.22x 2 + 6 11x - 8 = 0
II. 3y2 + 14y - 5 = 0
or, 3y2 + (15 - 1)y-5=0
or, 3y2 + 15y - y-5= 0
or, 3y (y + 5) - 1 (y + 5) = 0
(3y - 1) (y + 5) = 0
y = 1/3.-5
While comparing the values of x and y, one
root value of y lies between the root values of
x Hence, option A is correct.
170. Ans
I. 6x2 – 23x + 17 = 0
⇒ 6x2 – 6x – 17x + 17 = 0
⇒ 6x (x – 1) – 17 (x – 1) = 0
⇒ (6x – 17) (x – 1) = 0
x 17 ,
= 61
II. 3y2 – 19y + 30 = 0
⇒ 3y2 – 9y – 10y + 30 = 0
⇒ 3y (y – 3) – 10 (y – 3) = 0
⇒ (3y – 10) (y – 3) = 0
10
y=
,3
3
While comparing the root values of x and y,
we find that both root values of x are less than
y's. Therefore, x < y.
171. Ans
I. x2 – 10x + 21 = 0
⇒ x2 – 7x – 3x + 21 = 0
⇒ x (x – 7) – 3 (x – 7) = 0
⇒ (x – 3) (x – 7) = 0
x = 3, 7
II. y2 – 8y + 15 = 0
⇒ y2 – 5y – 3y + 15 = 0
⇒ y (y – 5) – 3 (y – 5) = 0
⇒ (y – 5) (y – 3) = 0
⇒ y = 3, 5
While comparing the root values of x and y,
we find the one root value of y lies between
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
410
@Crossword2022
the root values of x. Hence relation between
x and y can't be established.
176. Ans
From equation I: 15x2 -22x +8
= (3x -2)(5x -4)= 0
=> x = 2/3, 4/5
From equation II
y2 -18y +45 = (y -3)(y -15) = 0
=> y = 3, 15
So, x < y
177. Ans
I. 2x² + 11x + 14 = 0
⇒ 2x² + 4x + 7x + 14= 0
⇒ (x + 2) (2x + 7) = 0
⇒ x = -2, -7/2
II. 2y² + 15y + 28= 0
⇒ 2y² + 8y + 7y + 28 = 0
⇒ (y + 4) (2y + 7) = 0
⇒ y = -4, -7/2
⇒ x≥ y
178. Ans
I. x² + 7x + 12 = 0
⇒ x = –3, –4
II. y² = 9
⇒y=±3
y≥x
179. Ans
I. 2x² + 5x + 3= 0
⇒ 2x² + 2x + 3x + 3 = 0
⇒ (x + 1) (2x + 3) = 0
3
⇒ x = -1, −
172. Ans
I. x2 + 13x + 40 = 0
⇒ x2 + 8x + 5x + 40 = 0
⇒ x (x + 8) + 5 (x + 8) = 0
⇒ (x + 8) (x + 5) = 0
x = – 8, – 5
II. 3y2 + 23y + 30 = 0
⇒ 3y2 + 18y + 5y + 30 = 0
⇒ 3y (y + 6) + 5 (y + 6) = 0
⇒ (3y + 5) (y + 6) = 0
5,–
y=–
36
While comparing the root values of x and y,
we find that one root value of y lies between
the root values of x. Therefore, the relation
between x and y.
173. Ans
I. 2x2 + 9x + 7 = 0
7
or, 2x2 + 2x + 7x + 7 = 0
or, 2x(x + 1) + 7 (x + 1) = 0
2
or, (2x + 7) (x + 1) = 0
∴ x = - 1, II. y2 + 4y + 4 = 0
or, y2 + 2y + 2y + 4 = 0
or, y (y + 2) + 2 (y + 2) = 0
or, (y + 2)(y + 2) = 0
∴ y = -2, -2
Hence, relationship can't be established
between x and y.
174. Ans
From equation I:
15x2 -14x -8 = (3x -4)(5x + 2)= 0
=> x = 4/3, -2/5
From equation II:
y2 +25y +100 = (y + 5)(y + 20) = 0
=> y = -5, -20
So, x > y
175. Ans
From equation I:
15x2 -17x +4 = (3x -1)(5x -4)= 0
=> x = 1/3, 4/5
From equation II:
y2 +15y +54 = (y + 9)(y + 6) = 0
=> y = -9, -6
So, x > y
2
II. y² + 3y + 2 = 0
⇒ (y + 1) (y + 2) = 0
⇒ y = –1, –2
No relation
180. Ans
(2x + 3y = 5) 2
(3x + 2y = 10) 3
On subtracting, we get
–5x = –20
⇒x=4
5−8
∴𝑦 =
3
= -1
x>y
181. Ans
I. x² +19x + 84 = 0
⇒ (x + 7) (x+ 12) = 0
⇒ x = -7, –12
II. y² + 14y + 49 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
411
@Crossword2022
⇒ (y + 7) ² = 0 ⇒ y = –7
y≥x
182. Ans
I. 3x² + 4x + 1= 0
⇒ 3x² + 3x + x +1 = 0
⇒ (x + 1) (3x +1) = 0
1
⇒ x = -1, −
For x = 5 or 13.5 and y = –1
x>y
For x = 5 or 13.5 and y = 19.5
x<y
Therefore, relationship can’t be established
186. Ans
I. x2 + 5x – 50 = 0
x2 + 10x – 5x – 50 = 0
x(x + 10) – 5(x + 10) = 0
(x – 5)(x + 10) = 0
x = 5, –10
II. 2y2 – 11y + 15 = 0
2y2 – 6y – 5y + 15 = 0
2y(y – 3) – 5(y – 3) = 0
(2y – 5)(y – 3) = 0
y = 2.5, 3
For, x = 5 and y = 2.5 or 3
x>y
But for x = –10 and y = 2.5 or 3
x<y
Therefore, relationship cannot be established
187. Ans
I. 6x2 – 37x – 35 = 0
6x2 + 5x – 42x – 35 = 0
x(6x + 5) – 7(6x + 5) = 0
(x – 7)(6x + 5) = 0
5
x = 7, –
6
II. 54y2 + 87y + 35 = 0
54y2 + 42y + 45y + 35 = 0
3
II. 2y² + 3y + 1= 0
⇒ 2y² + 2y + y +1 = 0
⇒ (y + 1) (2y+ 1) = 0
1
⇒ 𝑦 = −1, −
2
No relation
183. Ans
I. 𝑥 2 − 5𝑥 + 6 = 0
(𝑥 − 3)(𝑥 − 2) = 0 ⇒ 𝑥 = 3, 2
II. 𝑦 2 − 4𝑦 + 4 = 0
𝑦 = 2, 2
≥𝑦
184. Ans
I. x2 + 14x + 45 = 0
x2 + 5x + 9x + 45 = 0
x(x + 5) + 9(x + 5) = 0
(x + 9)(x + 5) = 0
x = –9, –5
II. 2y2 + 5y – 25 = 0
2y2 + 10y – 5y – 25 = 0
2y(y + 5) – 5(y + 5) = 0
(2y – 5)(y + 5) = 0
y = 2.5, –5
For x = –5 and y = –5
x=y
For x = – 9 or – 5 and y = 2.5
x<y
For x = –9 and y = –5
x<y
Therefore, x ≤ y
185. Ans
I. 2x2 – 37x + 135 = 0
2x2 – 27x – 10x + 135 = 0
x(2x – 27) – 5(2x – 27) = 0
(2x – 27)(x – 5) = 0
x = 5, 13.5
II. 2y2 – 37y – 39 = 0
2y2 + 2y – 39y – 39 = 0
2y(y + 1) – 39(y + 1) = 0
(2y – 39)(y + 1) = 0
y = 19.5 or –1
6y(9y + 7) + 5(9y + 7) = 0
(6y + 5)(9y + 7) = 0
5
7
y=–
,–
6
9
Therefore, for x = 5 and y = – 5 or – 7
7 or –
6
6
9
188. Ans
I. 2x² – x – 231 = 0
⇒ 2x² – 22x + 21x – 231 = 0
⇒ 2x (x – 11) + 21 (x – 11) = 0
⇒ (x – 11) (2x + 21) = 0
⇒ x = 11,
–21
2
I. 2y² + 43y + 231 = 0
⇒ 2y² + 22y + 21y + 231 = 0
⇒ 2y (y + 11) + 21 (y + 11) = 0
⇒ (y + 11) (2y + 21) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
412
@Crossword2022
⇒ y = –11,
–21
y=–
2
x≥y
189. Ans
I. 55x² – 495x + 1100 = 0
𝑥 2 − 9𝑥 + 20 = 0
⇒ x² – 5x – 4x + 20 = 0
⇒ (x – 5) (x – 4) = 0
⇒ x = 5, 4
II.5y² + 10y – 120 = 0
⇒ y² + 2y – 24 = 0
⇒ y² + 6y – 4y – 24 = 0
⇒ (y + 6) (y – 4) = 0
⇒ y = 4, –6
x≥y
190. Ans
I. 9x² – 94.5x + 243 = 0
⇒ x² – 10.5x + 27 = 0
⇒ x² – 6x – 4.5x + 27 = 0
⇒ (x – 6) (x – 4.5) = 0
⇒ x = 6, 4.5
I. 4.5y² – 13.5y – 486 = 0
⇒ y² – 3y – 108 = 0
⇒ y² – 12y + 9y – 108 = 0
⇒ (y – 12) (y + 9) = 0
⇒ y = 12, –19
No relation
191. Ans
I. x² – 87x – 270 = 0
⇒ x² – 90x + 3x – 270 = 0
⇒ x (x – 90) + 3 (x – 90) = 0
⇒ (x – 90) (x + 3) = 0 ⇒ x = 90, –3
III. 7y² – 11y – 18 = 0
⇒ 7y² – 18y + 7y – 18 = 0
⇒ y (7y – 18) + 1 (7y – 18) = 0
⇒ (7y – 18) (y + 1) = 0
18
⇒ y = –1,
21
8
For x = –
,–3
7
, and y = – 3
2
x<y
For x = –
11
, and y = -3
5
x>y
Therefore, relationship can’t be established
193. Ans
I. x2 + 12x + 35 = 0
x2 + 7x + 5x + 35 = 0
x(x + 7) + 5(x + 7) = 0
(x + 5)(x + 7) = 0
x = – 7, – 5
II. y2 + 9y + 20 = 0
y2 + 4y + 5y + 20 = 0
y(y + 4) + 5(y + 4) = 0
(y + 5)(y + 4) = 0
y = – 5, – 4
For x = – 7 and y = – 5 or – 4
x<y
For x = – 5 and y = – 5, x = y
For x = – 7 and y = – 4
Therefore, x ≤ y
194. Ans
According to the given equations:
I. x2 – 19x + 88 = 0
x2 – 11x – 8x + 88 = 0
x (x – 11) – 8 (x – 11) = 0
(x – 8) (x – 11) = 0
x = 8, 11
II. y2 – 12y + 35 = 0
y2 – 7y – 5y + 35 = 0
y (y – 7) – 5 (y – 7) = 0
(y – 7) (y – 5) = 0
y = 7, 5
After comparison of both equations, the
conclusion is x > y
195. Ans
According to the given equations:
I. x2 – 11x + 24 = 0
x2 – 3x – 8x + 24 = 0
x (x – 3) – 8 (x – 3) = 0
(x – 3) (x – 8) = 0
x = 3, 8
II. y2 – 16y + 63 = 0
y2 – 7y – 9y + 63 = 0
7
No relation
192. Ans
10x2 + 13x – 77 = 0
10x2 + 35x – 22x – 77 = 0
5x(2x + 7) – 11(2x + 7) = 0
(5x – 11)(2x + 7) = 0
11
7
x=
,–
5
2
II. 8y2 + 45y + 63 = 0
8y2 + 24y + 21y + 63 = 0
8y(y + 3) + 21(y + 3) = 0
(8y + 21)(y + 3) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
413
@Crossword2022
7
,3
2
x>y
199. Ans
I. √(x − 4)(x + 8) = 8
(x - 4) (x + 8) = 64
x² + 8x – 4x – 32 – 64 = 0
x² + 4x – 96 = 0
x² + 12x – 8x – 96 = 0
x (x + 12) –8(x + 12) = 0
(x - 8) (x + 12) = 0
x = 8, -12
II. y² - 17y + 72 = 0
y² - 17y + 72 = 0
y² - 9y – 8y + 72 = 0
y (y - 9) -8(y - 9) =0
(y - 8) (y - 9) = 0
y = 8, 9
y≥x
200. Ans
I. 2x² + 17x + 36 = 0
2x² + 8x + 9x + 36 = 0
2x (x + 4) + 9 (x + 4) = 0
(2x + 9) (x + 4) = 0
9
x = − , −4
y (y – 7) – 9 (y – 7) = 0
(y – 7) (y – 9) = 0
y = 7, 9
While comparing the root values of x and y,
we find that one root value of x is lies
between the root values of y. Hence, the
relation between x and y can't be established.
y=
196. Ans
According to the given equations:
I. 2x2 – 24x + 70 = 0
2x2 – 24x + 70
=0
2
x2 – 12x + 35 = 0
x2 – 5x – 7x + 35 = 0
x (x – 5) – 7 (x – 5) = 0
(x – 5) (x – 7) = 0
x = 5, 7
II. y2 – 20y + 91 = 0
y2 – 7y – 13y + 91 = 0
y (y – 7) – 13 (y – 7) = 0
(y – 7) (y – 13) = 0
y = 7, 13
While comparing the root values of x and y,
we find that one root value of y is equal to x's
and another one is greater than x's root
values. Hence, the relation between x and y
will be x ≤ y.
197. Ans
I. x3 = 73 – 127
x3 = 343 – 127
x3 = 216
x=6
II. y = 182 – 315
y = 324 – 315
y=9
After comparison of both equations, the
conclusion is x < y
198. Ans
x² - 14x + 48 = 0
x² - 6x – 8x + 48 = 0
x (x - 6) -8(x -6) = 0
(x - 8) (x - 6) = 0
x = 8, 6
II. 2y² - 13y + 21 = 0
2y² - 6y - 7y + 21 = 0
2y (y - 3) – 7 (y - 3) = 0
(2y - 7) (y - 3) = 0
2
II. 3y² + 34y + 96 = 0
3y² + 34y + 96 = 0
3y² + 18y + 16y + 96 = 0
3y (y + 6) +16(y + 6) = 0
(3y + 16) (y + 6) = 0
16
y = − , −6
3
x>y
201. Ans
I. x² + 2x – 15 = 0
x² + 5x – 3x – 15 = 0
x (x + 5) – 3 (x + 5) = 0
(x - 3) (x + 5) = 0
x = 3, -5
II. y² - 10y + 24 = 0
y² - 6y – 4y + 24 = 0
y (y - 6) -4(y - 6) = 0
(y -4) (y - 6) = 0
y = 4, 6
𝑦>𝑥
202. Ans
x² - x – 12 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
414
@Crossword2022
y≥x
207. Ans
I. 4x² + 19x + 22 = 0
⇒ 4x² + 8x + 11x + 22 = 0
⇒ (x + 2) (4x + 11) = 0
11
⇒ x = -2, −
x² - 4x + 3x – 12 = 0
x (x - 4) + 3 (x - 4) = 0
(x + 3) (x -4) = 0
x = -3, 4
II. y² - 9y + 18 = 0
y² - 6y – 3y + 18 = 0
y (y - 6) – 3 (y - 6) = 0
(y - 3) (y - 6) = 0
y = 3, 6
No relation can be established between x and y
203. Ans
I. 4x²- 15x – 46 = 0
⇒ 4x² - 23x + 8x – 46 = 0
⇒ (4x – 23) (x + 2) = 0
23
⇒ 𝑥 = −2,
4
II. 2y² + 11y + 15 = 0
⇒ 2y² + 6y + 5y + 15 = 0
⇒ (y + 3) (2y + 5) = 0
5
⇒ y = -3, −
2
No relation
208. Ans
I. 5y² – 13y – 18 = 0
⇒ 5y² – 18y + 5y – 18 = 0
⇒ (5y – 18) (y + 1)
18
⇒ y =– 1,
5
II. 11x² + 23x + 12 = 0
⇒ 11x² + 11x + 12x + 12 = 0
⇒ (x + 1) (11x + 12) = 0
– 12
⇒ x =– 1,
11
y≥x
209. Ans
I. x⁴ – 13x² + 36 = 0
⇒ (x² – 9) (x² – 4) = 0
⇒ x = ±3, ±2
II. y² + 4y – 45 = 0
⇒ y² + 9y – 5y – 45 = 0
⇒ (y + 9) (y – 5) = 0
⇒ y = –9, 5
No relation
210. Ans
I. 6y² – 14y + 8 = 0
⇒ 3y² – 7y + 4 = 0
⇒ 3y² – 3y – 4y + 4 = 0
⇒ (y – 1) (3y – 4) = 0
4
⇒ 𝑦 = 1,
3
II. 4x² – 15x + 14 = 0
⇒ 4x² – 8x – 7x + 14 = 0
⇒ (x – 2) (4x – 7) = 0
7
⇒ x = 2,
4
x>y
211. Ans
From I:
4
II. 6y² + 35y + 46 = 0
⇒ 6y² + 12y + 23y + 46 = 0
⇒ (y+ 2) (6y + 23) = 0
23
⇒ 𝑦 = −2, −
6
x≥y
204. Ans
I. 2x² - x – 10 = 0
⇒ 2x² - 5x + 4x – 10 = 0
⇒ (2x – 5) (x + 2) = 0
5
⇒ 𝑥 = , −2
2
II. 2y² - y- 21 = 0
⇒ 2y² - 7y + 6y – 21 = 0
7
⇒ (2y – 7) (y +3) = 0 ⇒ 𝑦 = , −3
2
No relation
205. Ans
I. x² - 3x – 88 = 0
⇒ (x – 11) (x + 8) = 0 ⇒ x = 11, -8
II. y² + 8y – 48 = 0
⇒ (y + 12) (y – 4) =0 ⇒ y = 4, -12
No relation
206. Ans
I. 2x² - 9x + 9 = 0
⇒ 2x² - 6x – 3x + 9 = 0
⇒ (x – 3) (2x – 3) = 0
3
⇒ 𝑥 = 3,
2
II. y² - 7y + 12 = 0
⇒ y² - 3y – 4y + 12 = 0
⇒ (y – 3) (y – 4) = 0
⇒ y = 3, 4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
415
@Crossword2022
x2 + 13x - 90 = 0
x2 + 18x - 5x - 90 = 0
(x - 5)(x + 18) = 0
x = 5, -18
From II:
y3 = 983 - 767
y3 = 216
y=6
So, x < y
212. Ans
From I:
x2 - 19x + 88 = 0
x2 - 11x - 8x + 88 = 0
(x - 11)(x - 8) = 0
x = 11, 8
From II:
y - 108/y = 3
y2 - 3y - 108 = 0
y2 + 9y - 12y - 108 = 0
(y + 9)(y - 12) = 0
y = - 9, 12
So, x = y or no relation can be established
between x and y.
213. Ans
1
I. (x + 6) (8 – ) = 0
x
II. y2 + √576 = √1089
1
I. (x + 6) (8 – ) = 0
x
y=6
x≤y
215. Ans
I. 3x² - 13x + 14 = 0
⇒ 3x² - 6x – 7x + 14 = 0
7
⇒ (x – 2) (3x – 7) = 0 ⇒ 𝑥 = 2,
3
II. 2y² - 5y + 3 = 0
⇒ 2y² - 2y – 3y + 3 = 0
⇒ (y – 1) (2y – 3) = 0
3
⇒ y = 1,
2
x>y
216. Ans
From equation I:
10x2 +63x +81 = (5x + 9)(2x + 9)= 0
=> x = -9/5, -9/2
From equation II:
y2 +7y +12 = (y + 4)(y + 3) = 0
=> y = -4, -3
X = -9/5 X = -9/2
Y = -4 x > y
x<y
Y = -3 x > y
x<y
So, relationship cannot be established
between x and y
217. Ans
I. x2 – 13x + 40 = 0
x2 – 8x – 5x + 40 = 0
x (x – 8) – 5 (x – 8) = 0
(x – 5) (x – 8) = 0
x = 5, 8
II. y2 – 21y + 110 = 0
y2 – 11y – 10y + 110 = 0
y (y – 11) – 10 (y – 11) = 0
(y – 10) (y – 11) = 0
y = 10, 11
After comparison of both equations, the
conclusion is x < y
218. Ans
From equation I:
10x2 -37x -36 = (5x + 4)(2x -9)= 0
=> x = -4/5, 9/2
From equation II:
y2 +10y -144 = (y -8)(y + 18) = 0
=> y = 8, -18
So, relationship cannot be established
between x and y
219. Ans
From equation I:
8x – 1
) =0
x
(x + 6) (8x – 1) = 0
x = – 6, 1/8
II. y2 + √576 = √1089
y2 + 24 = 33
y2 = 9
y = 3, –3
Relationship between x and y cannot be
established.
214. Ans
I. x4 × 612 = x6 × 17
612 = x2 × 17
x2 = 36
x =±6
II. y2/3 × 102 = 17 × y5/3
y5/3 ÷ y2/3 = 6
y(5/3 – 2/3) = 6
(x + 6) (
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
416
@Crossword2022
10x2 -41x -18 = (2x -9)(5x + 2)= 0
=> x = 9/2, -2/5
From equation II:
y2 +7y -170 = (y + 17)(y -10) = 0
=> y = -17, 10
So, relationship cannot be established
between x and y
220. Ans
From equation I:
10x2 -51x +27 = (5x -3)(2x -9)= 0
=> x = 3/5, 9/2
From equation II:
y2 +21y +68 = (y + 17)(y + 4) = 0
=> y = -17, -4
So, x > y
221. Ans
q = 56
p + q = ±56, p = 0
If p+q=-56 then p= -112
p+q=56 then p=0
so, q > p
222. Ans
From equation I:
10x2 -7x -12 = (5x + 4)(2x -3)= 0
=> x = -4/5, 3/2
From equation II:
y2 -31y +198 = (y -9)(y -22) = 0
=> y = 9, 22
So, x < y
223. Ans
p = 7, −7
q2 + 7q + 8q + 56 = 0
q(q + 7) + 8(q + 7) = 0
q = −7, −8
p≥q
224. Ans
2p2 + 8p − 3p − 12 = 0
2p(p + 4) − 3(p + 4) = 0
3
p = , −4
From equation II:
y2 +36y +288
= (y + 12)(y + 24) = 0
=> y = -12, -24
So, x > y
226. Ans
65𝑥 − 91𝑦 = −312
65𝑥 + 15𝑦 = 430
Solving eqn, 𝑦 = +7, 𝑥 = 5
𝑥<𝑦
227. Ans
𝑥 2 − 8𝑥 − 5𝑥 + 40 = 0
𝑥(𝑥 − 8) − 5(𝑥 − 8) = 0
𝑥 = 5, 8
𝑦 2 + 8𝑦 − 5𝑦 − 40 = 0
𝑦(𝑦 + 8) − 5(𝑦 + 8) = 0
𝑦 = 5, −8
𝑥≥𝑦
228. Ans
8𝑥 2 − 20𝑥 − 6𝑥 + 15 = 0
4𝑥(2𝑥 − 5) − 3(2𝑥 − 5) = 0
3 5
𝑥= ,
4 2
2𝑦 2 − 12𝑦 − 5𝑦 + 30 = 0
2𝑦(𝑦 − 6) − 5(𝑦 − 6) = 0 ,
5
y = ,6
2
𝑥≤𝑦
229. Ans
𝑥 = 22, −22
𝑦 2 − 22𝑦 − 23𝑦 + 506 = 0
𝑦(𝑦 − 22) − 23(𝑦 − 22) = 0
𝑦 = 22, 23
𝑥≤𝑦
230. Ans
𝑥 = 13
𝑦 = 13
𝑥=𝑦
231. Ans
I. 3x2 – 11x + 10 = 0
⇒ 3x2 – 6x – 5x + 10 = 0
⇒ (x – 2) (3x – 5) = 0
5
⇒ x = 2,
2
2q2 − 2q + q − 1 = 0
2q(q − 1) + 1(q − 1) = 0
−1
q = ,1
3
2
II. 4y2 + 13y – 17 = 0
⇒ 4y2 + 17y – 4y – 17 = 0
⇒ (4y + 17) (y – 1) = 0
17
⇒y = – , 1
x>y
No relation can be established.
225. Ans
From equation I:
10x2 -9x -9 = (2x -3)(5x + 3)= 0
=> x = 3/2, -3/5
4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
417
@Crossword2022
232. Ans
I. 7y2 + 32y + 25 = 0
⇒7y2 + 7y + 25y + 25 = 0
⇒ (y + 1) (7y + 25) = 0
25
⇒ y = –1, –
⇒ (y + 1) (y+ 10) = 0
⇒ y = –1 or – 10
Hence, x > y
237. Ans
I. x² + 28x + 192 = 0
⇒ x² + 16x + 12x + 192 = 0
⇒ x (x + 16) + 12(x + 16) = 0
⇒ (x + 12) (x + 16) = 0
⇒ x = –12 or –16
II. y² + 16y + 48 = 0
⇒ y² + 12y + 4y + 48 = 0
⇒ y (y + 12) + 4 (y + 12) = 0
⇒ (y + 12) (y + 4) = 0
⇒ y = -12 or -4
Hence, x ≤ y
238. Ans
2x – 3y = –3.5…(i)
3x – 2y = –6.5…(ii)
By equation (i) x2 – equation (ii) ×3, we have
4x-6y=-7
9x-6y=-19.5 -5x=12.5
12.5
⇒𝑥 =
= −2.5
7
II. 2x2 + 3x + 1 = 0
⇒ 2x2 + 2x + x + 1 = 0
⇒ (x + 1) (2x + 1) = 0
1
⇒ x = –1, –
2
x>y
233. Ans
I. 4x + 7y = 10
II. 3x + 5y = 12
Solving eq. I and eq.
II, we get
x = 34, y = –18
x>y
234. Ans
I. x2 – 56x – 512 = 0
⇒ x2 – 64x + 8x – 512 = 0
⇒ (x – 64) (x + 8) = 0
⇒x = 64, –8
II. y2 – 64y - 576 = 0
⇒ y2 – 72y + 8y – 576 = 0
⇒ (y – 72) (y + 8) = 0
⇒ y = 72, –8
No relation
235. Ans
I. 5y2 + 33y + 54 = 0
⇒ 5y2 + 15y + 18y + 54 = 0
⇒ (y + 3) (5y + 18) = 0
18
⇒ y = –3, –
−5
From equation (i)
2 × (−2.5) − 3𝑦 = −3.5
⇒ 3𝑦 = −5 + 3.5
−1.5
⇒𝑦=
= −0.5
3
Hence, x < y
239. Ans
I. x² + 8x + 15 = 0
⇒ x² + 5x + 3x + 15 = 0
⇒ x (x+ 5) + 3 (x+5) = 0
⇒ (x + 5) (x+ 3) = 0
⇒ x = -5 or -3
II. y² + 11y + 30 = 0
⇒ y² + 6y+ 5y + 30 = 0
⇒ y (y + 6) + 5(y + 6) = 0
⇒ (y+ 5) (y + 6) = 0
⇒ y = -5 or -6
Hence, x ≥ y
240. Ans
𝑥 = √3136
𝑥 = +56
𝑦 2 = 3136
𝑦 = ±56
Hence, x ≥ y
241. Ans
5
II. 7x2 – 23x + 18 = 0
⇒ 7x2 – 14x – 9x + 18 = 0
⇒ (x – 2) (7x – 9) = 0
9
⇒ x = 2,
7
x>y
236. Ans
I. x² – 7x + 10 = 0
⇒ x² – 5x – 2x + 10 = 0
⇒ x (x – 5) – 2 (x – 5) = 0
⇒ (x – 2) (x - 5) = 0
⇒ x = 2 or 5
II. y² + 11y + 10 = 0
⇒ y² + 10y + y + 10 = 0
⇒ y (y + 10) + 1 (y + 10) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
418
@Crossword2022
I. √𝑥. √𝑥 = √6 ⇒ 𝑥 = √6
3
II. 𝑦 3 = 62
1
3 3
2
1
⇒ 𝑦 = (6 ) = 62 = √6
𝑥=6
18 + 5y = 28
y=2
∴x>y
247. Ans
I. 6x² + 23x + 20 = 0
6x² + 15x + 8x + 20 = 0
3x (2x + 5) +4(2x + 5) = 0
−5
−4
∴𝑥 =
𝑜𝑟
x=y
242. Ans
On (i)x3 – (ii)
9x – 6y =30
5x – 6y=6
4x=24⇒x=6
y = 4;
x>y
243. Ans
I. x 2 + x − 12 = 0
x 2 + 4x − 3x − 12 = 0
x(x + 4) − 3(x + 4) = 0
(x + 4)(x − 3) = 0,
x = −4, 3
II. y 2 − 5y + 6 = 0
y 2 − 3y − 2y + 6 = 0
y(y − 3) − 2(y − 3) = 0
(y − 3)(y − 2) = 0
y = 3, 2
No relation
2
244. Ans
I. x2 – 3 = 2x
∴ x2 – 2x – 3 = 0 ∴ x2 – 3x + x – 3 = 0
∴ (x + 1)(x – 3) = 0
∴ x = 3 or x = −1
II. y2 + 5y + 6 = 0
∴ y2 + 3y + 2y + 6 = 0
∴ (y + 3)(y + 2) = 0
∴ y = –3 or y = –2
For both values of x, x > y
245. Ans
48x2 – 24x + 3 = 0 is of the form ax2 – bx + c = 0
Both roots of this equation are positive i.e. x > 0
55y2 + 53y + 12 = 0
is of the form ay2 + by + c = 0
Both roots of this equation are negative i.e. y < 0
Hence, x > y
246. Ans
I. 3x + 5y = 28…(i)
II. 8x – 3y = 42 …..(ii)
Multiplying (i) by 3 and (ii) by 5
3
II. 6y² + 31y + 35 = 0
6y² + 21y + 10y + 35 = 0
3y (2y + 7) + 5(2y + 7) = 0
−7
−5
𝑦=
𝑜𝑟
2
3
No relation
248. Ans
I. 4x² – 25x + 39 = 0
4x² - 13x – 12x + 39 = 0
x (4x - 13) – 3 (4x - 13) = 0
13
𝑥=
𝑜𝑟 3
4
II. 18y² - 15y + 3 = 0
18y² - 9y – 6y + 3= 0
9y (2y - 1) – 3 (2y - 1) = 0
1
1
𝑦 = 𝑜𝑟
2
3
x>y
249. Ans
I. x² –x – 72 = 0
x² - 9x + 8x – 72 = 0
x (x – 9) +8 (x – 9) = 0
x = 9 or -8
II.y² = 64
y=±8
No relation
250. Ans
I. 30x² + 11x +1 = 0
30x² + 5x + 6x + 1= 0
5x (6x + 1) +1 (6x + 1) = 0
1
1
𝑥 = − 𝑜𝑟 −
6
5
II. 42y² + 13y + 1 = 0
42y² + 6y + 7y + 1 = 0
6y (7y + 1) +1 (7y + 1) = 0
1
1
𝑦 = − 𝑜𝑟 −
7
6
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
419
@Crossword2022
4
𝑦≥𝑥
251. Ans
x2 + 6x +4x + 24 = 0
x (x + 6) + 4 (x + 6) = 0
(x + 4) (x + 6) = 0
x = – 4, – 6
4y2 – 8y – 9y + 18 = 0
4y (y – 2) – 9 (y – 2) = 0
(4y – 9) (y – 2) = 0
9
y = ,2
𝑥 = − ,8
3
2y2 – 8y + 5y – 20 = 0
2y (y – 4) + 5 (y – 4) = 0
(2y + 5) (y – 4) = 0
5
𝑦 = − ,4
2
No relation can be established
256. Ans
I. 3𝑥 2 − 21𝑥 + 18 = 0
⇒ 3𝑥 2 − 18𝑥 − 3𝑥 + 18 = 0
⇒ (𝑥 − 6)(3𝑥 − 3) = 0
⇒ 𝑥 = 6, 1
II. 𝑦 2 − 13𝑦 + 42 = 0
⇒ 𝑦 2 − 6𝑦 − 7𝑦 + 42 = 0
⇒ (𝑦 − 6)(𝑦 − 7) = 0
⇒ 𝑦 = 6, 7
𝑦≥𝑥
257. Ans
I. 2𝑥 2 − 19𝑥 + 45 = 0
⇒ 2𝑥 2 − 10𝑥 − 9𝑥 + 45 = 0
⇒ (𝑥 − 5)(2𝑥 − 9) = 0
9
⇒ 𝑥 = 5,
2
II. 6𝑦 2 − 48𝑦 + 90 = 0
⇒ 6𝑦 2 − 30𝑦 − 18𝑦 + 9 = 0
⇒ (𝑦 − 5)(6𝑦 − 18) = 0
⇒ 𝑦 = 5, 3
No relation between 𝑥 and 𝑦
258. Ans
I. 2𝑥 2 + 15𝑥 + 28 = 0
⇒ 2𝑥 2 + 8𝑥 + 7𝑥 + 28 = 0
⇒ (𝑥 + 4)(2𝑥 + 7) = 0
7
⇒ 𝑥 = −4, −
2
II. 4𝑦 2 + 18𝑦 + 14 = 0
⇒ 2𝑦 2 + 9𝑦 + 7 = 0
⇒ 2𝑦 2 + 2𝑦 + 7𝑦 + 7 = 0
⇒ (𝑦 + 1)(2𝑦 + 7) = 0
7
⇒ 𝑦 = −1, − 𝑦 ≥ 𝑥
2
259. Ans
I. 𝑥 2 + 9𝑥 + 20 = 0
⇒ (𝑥 + 4)(𝑥 + 5) = 0
⇒ 𝑥 = −4, −5
4
x<y
252. Ans
x2 – 729 = 0
(x – 27) (x + 27) = 0
x = 27, –27
y = √729 = 27
𝑥 ≤𝑦
253. Ans
From I:
3x2 - 8x - 3 = 0
3x2 - 9x + x - 3 = 0
(3x + 1)(x - 3) = 0
x = -1/3, 3
x = -0.33, 3
From II:
y5 + 235 = 478
y5 = 243
y=3
So, x ≤ y
254. Ans
From I:
24x2 + 10x + 1 = 0
24x2 + 6x + 4x + 1 = 0
(6x + 1)(4x + 1) = 0
x = -1/6, -1/4
x = -0.16, -0.25
From II:
12y2 + 7y + 1 = 0
12y2 + 3y + 4y + 1 = 0
(3y + 1)(4y + 1) = 0
y = -1/3, -1/4
y = -0.33, -0.25
So, x ≥ y
255. Ans
3x2 24x + 4x – 32 = 0
3x (x – 8) + 4 (x – 8) = 0
(3x + 4) (x – 8) = 0
II. 2𝑦 2 + 15𝑦 + 27 = 0
⇒ 2𝑦 2 + 6𝑦 + 9𝑦 + 27 = 0
⇒ (𝑦 + 3)(2𝑦 + 9) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
420
@Crossword2022
9
2
No relation between 𝑥 and 𝑦
260. Ans
(I) x2 + 13x + 42 = 0
=> x2 + 7x + 6x + 42 = 0
=> (x + 7)(x + 6) = 0
=> x = -7 or -6
(II) y 2 + y - 2 = 0
=> y2 - y + 2y - 2 = 0
=> (y + 2)(y - 1) = 0
=> y = -2 or 1
When x = -7 and y = -2, then x < y
When x = -6 and y = -2, then x < y
When x = -7 and y = 1, then x < y
When x = -6 and y = 1, then x < y
Thus, x < y
261. Ans
I. x² – x – 12 = 0
⇒ (x – 4) (x + 3) = 0
⇒ x = 4, – 3
II. y² + 5y + 6 = 0
⇒ (y + 3) (y + 2) = 0
⇒ y =–3, –2
No relation between x & y
262. Ans
I. x² – 8x + 15 = 0
⇒ (x – 5) (x -3) = 0
⇒ x = 5, 3
II. y² – 3y + 2= 0
⇒ (y – 2) (y – 1) = 0
⇒ y = 2, 1 ⇒ x > y
263. Ans
From equation I:
10x2 +9x -7 = (5x + 7)(2x -1)= 0
=> x = -7/5, 1/2
From equation II:
y2 +35y +286 = (y + 13)(y + 22) = 0
=> y = -13, -22
So, x > y
264. Ans
From equation I:
x2 -11x -102 = (x + 6)(x -17)= 0
=> x = -6, 17
From equation II:
y2 +38y +361 = (y + 19)(y + 19) = 0
=> y = -19, -19
So, x > y
265. Ans
From equation I:
x2 -14x +24 = (x -2)(x -12)= 0
=> x = 2, 12
From equation II:
y2 -20y +64 = (y -4)(y -16) = 0
=> y = 4, 16
So, relationship cannot be established between
x and y
266. Ans
I. x² = 144
⇒ 𝑥 = ±12
II. y² - 24y + 144 = 0
⇒ (y – 12)² = 0
⇒ y – 12 = 0
⇒ y = 12
So, 𝑥 ≤ 𝑦
267. Ans
I. 2x² - 9x + 10 = 0
⇒ (x – 2) (2x - 5) = 0
5
⇒ 𝑥 = 2 𝑜𝑟
⇒ 𝑦 = −3, −
2
II. 2y² - 13y + 20 = 0
⇒ (y - 4) (2y - 5) = 0
5
⇒ 𝑦 = 4 𝑜𝑟
2
∴y≥x
268. Ans
I. 2x² + 15x + 27 = 0
⇒ (2x + 9) (x + 3) = 0
−9
⇒𝑥 =
𝑜𝑟 − 3
2
II. 2y² + 7y + 6 = 0
⇒ (2y + 3) (y + 2) = 0
3
⇒ 𝑦 = − 𝑜𝑟 − 2
2
∴x<y
269. Ans
I. 3x² - 13x + 12 = 0
⇒ (3x – 4) (x - 3) = 0
4
⇒ 𝑥 = 𝑜𝑟 3
3
II. 3y² - 13y + 14 = 0
⇒ (3y - 7) (y - 2) = 0
7
⇒ y = 𝑜𝑟 2
3
So, no relation exists between x and y
270. Ans
I. 5x² + 8x + 3 = 0
⇒ (5x + 3) (x + 1) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
421
@Crossword2022
⇒𝑥 =
−3
5
𝑜𝑟 − 1
𝑞=
2
5
4
2
= 13
∴𝑝 >𝑞
275. Ans
II. 3y² + 7y+ 4= 0
⇒ (y + 1) (3y + 4) = 0
−4
⇒ y = −1 or
3
So, 𝑥 ≥ 𝑦
271. Ans
6𝑝2 + 5𝑝 + 1 = 0
6𝑝2 + 3𝑝 + 2𝑝 + 1 = 0
3𝑝(2𝑝 + 1) + 1(2𝑝 + 1) = 0
−1 −1
⇒𝑝= ,
3
96−70
15
√𝑝
−
9
√𝑝
1
= 𝑝 2 ⇒ 6 = √ 𝑝 × √𝑝
𝑝=6
𝑞10 − (36)5 = 0
𝑞10 = (62 )5
⇒ 𝑞 = ±6
∴p≥q
276. Ans
From equation I:
10x2 +7x -45 = (2x + 5)(5x -9)= 0
=> x = -5/2, 9/5
From equation II:
y2 +20y +36 = (y + 18)(y + 2) = 0
=> y = -18, -2
X = -5/2 X = 9/5
20𝑞 2 + 9𝑞 + 1 = 0
⇒ 20𝑞 2 + 5𝑞 + 4𝑞 + 1 = 0
5𝑞(4𝑞 + 1) + 1(4𝑞 + 1) = 0
−1 −1
⇒𝑞 = ,
∴𝑝 <𝑞
272. Ans
3𝑝2 + 17𝑝 + 10 = 0
3𝑝2 + 15𝑝 + 2𝑝 + 10 = 0
3𝑝(𝑝 + 5) + 2(𝑝 + 5) = 0
−2
⇒ 𝑝 = −5,
Y = -18
x>y
x>y
Y = -2
x<y
x>y
3
10𝑞 2 + 9𝑞 + 2 = 0
⇒ 10𝑞 2 + 5𝑞 + 4𝑞 + 2 = 0
5𝑞 + (2𝑞 + 1) + 2(2𝑞 + 1) = 0
−2 −1
⇒𝑞= ,
5
So, relationship cannot be established
between x and y
277. Ans
I. x2 = 30 – x
x2 + x – 30 = 0
x2 + 6x – 5x – 30 = 0
x (x + 6) – 5 (x + 6) = 0
(x – 5) (x + 6) = 0
x = 5, – 6
II. y2 – 13y + 40 = 0
y2 – 5y – 8y + 40 = 0
y (y – 5) – 8 (y – 5) = 0
(y – 8) (y – 5) = 0
y = 5 ,8
After comparison of both equations, the
conclusion is x ≤ y or no relation
278. Ans
I. x² – 18x + 65 = 0
x² – 13x – 5x + 65 = 0
x = 13, 5
II. 2y² – 17y + 35 = 0
2y²– 10y – 7y + 35 = 0
7
𝑦 = 5,
2
x≥y
2
∴𝑝 <𝑞
273. Ans
𝑝2 + 24 = 10𝑝
⇒ 𝑝2 − 10𝑝 + 24 = 0
𝑝2 − 6𝑝 − 4𝑝 + 24 = 0
𝑝(𝑝 − 6) − 4(𝑝 − 6) = 0
∴ 𝑝 = 6, 4
2𝑞 2 + 18 = 12𝑞 ⇒ 2𝑞 2 − 12𝑞 + 18 = 0
2𝑞 2 − 6𝑞 − 6𝑞 + 18 = 0
⇒ 2𝑞(𝑞 − 3) − 6(𝑞 − 3) = 0 ⇒ 𝑞 = 3
∴𝑝 >𝑞
274. Ans
5𝑝 + 2𝑞 = 96 ……..(× 5)
489
7𝑝 + 5𝑞 =
= 163 …….(× 2)
3
⇒ 25𝑝 + 10𝑞 = 480 ...(i)
14𝑝 + 10𝑞 = 326 …(ii)
Subtract (ii) from (i)
154
11𝑝 = 480 − 326 ⇒ 𝑝 =
= 14
11
Now, 5𝑝 + 2𝑞 = 96
2𝑞 = 96 − 5 × 14
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
422
@Crossword2022
279. Ans
I. 7x² – 44x + 45 = 0
7x² – 9x – 35x + 45 = 0
x(7x – 9) – 5(7x – 9) = 0
x = 9/7, 5
II. y² + 15y - 100 = 0
y²+ 20y – 5y - 100 = 0
𝑦 = 5, −20
No relation
280. Ans
(i) 3x + 7y = 18
(ii) 9x – 2y = 8
Solving (i) and (ii)
x = 4/3, y = 2
y>x
281. Ans
8𝑥 2 + 26𝑥 + 15 = 0
⇒ 8𝑥 2 + 20𝑥 + 6𝑥 + 15 = 0
−5 −3
⇒ (2𝑥 + 5)(4𝑥 + 3) = 0 ⇒ 𝑥 = ,
2
=> y = -7/3, 3/2
So, x < y
284. Ans
9𝑥 2 − 27 + 20 = 0
⇒ 9𝑥 2 − 15𝑥 − 12𝑥 + 20 = 0
⇒ (3𝑥 − 5)(3𝑥 − 4) = 0
5 4
⇒𝑥 = ,
3 3
6𝑦 2 − 5𝑦 + 1 = 0
6𝑦 2 − 3𝑦 − 2𝑦 + 1 = 0
(2𝑦 − 1)(3𝑦 − 1) = 0
1 1
𝑦= ,
2 3
4
4𝑦 2 + 24𝑦 + 35 = 0
4𝑦 2 + 10𝑦 + 14𝑦 + 35 = 0
(2𝑦 + 5)(2𝑦 + 7) = 0
−5 −7
𝑦= , ⇒ 𝑥≥𝑦
2
2
282. Ans
𝑥 2 − 5𝑥 − 24 = 0
⇒ (𝑥 − 8)(𝑥 + 3) = 0
⇒ 𝑥 = 8, −3
𝑦 2 − 7𝑦 − 18 = 0
(𝑦 − 9)(𝑦 + 2) = 0
𝑦 = 9, −2
No relation
283. Ans
From equation I:
x2 -14x +24 = (x -2)(x -12)= 0
=> x = 2, 12
From equation II:
y2 -20y +64 = (y -4)(y -16) = 0
=> y = 4, 16
So, relationship cannot be established between
x and y
From equation I:
x2 +34x +288 = (x + 18)(x + 16)= 0
=> x = -18, -16
From equation II:
6y2 +5y -21 = (3y + 7)(2y -3) = 0
⇒𝑥 >𝑦
285. Ans
𝑥 2 − 6𝑥 + 9 = 0
⇒ 𝑥 = 3, 3
𝑦 2 − 11𝑦 + 24 = 0
⇒ 𝑦 = 8, 3
⇒𝑦 ≥ 𝑥
286. Ans
I. x² + 13x + 42 = 0
⇒ x = -6, -7
II. y² + 16y + 63 = 0
⇒ (y + 9) (y + 7) = 0
⇒ y = -7, -9
⇒x≥y
287. Ans
From equation I:
x2 +47x +552 = (x + 23)(x + 24)= 0
=> x = -23, -24
From equation II:
y2 -2y -143 = (y + 11)(y -13) = 0
=> y = -11, 13
So, x < y
288. Ans
I. x² – 1 = 0
⇒ x = 1, –1
II. y² + 4y + 3 = 0
⇒ (y + 3) (y + 1) = 0
⇒ y = -1, -3 ⇒ x ≥ y
289. Ans
I. x² -7x + 12 = 0
⇒ (x - 4)(x - 3)= 0
⇒ x = 4, 3
II. y² -12y + 32 = 0
⇒ (y- 8) (y - 4) = 0
⇒ y = 8, 4 ⇒ y ≥ x
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
423
@Crossword2022
290. Ans
I. x³ – 371 = 629
⇒ x³ = 1000 ⇒ x = 10
II. y³ – 543 = 788
⇒ y³ = 1331⇒ y = 11
⇒y>x
291. Ans
I. 9x² - 36x + 35 = 0
⇒ 9x² - 21x – 15x + 35 = 0
⇒ 3x (3x – 7) -5 (3x – 7) = 0
5 7
⇒ (3x- 7) (3x – 5) = 0 ⇒ 𝑥 = ,
⇒ y = 2, 9/4
295. Ans
I. 2x² + 11x + 14 = 0
⇒ 2x² + 4x + 7x + 14= 0
⇒ (x + 2) (2x + 7) = 0
⇒ x = -2, -7/2
II. 2y² + 15y + 28= 0
⇒ 2y² + 8y + 7y + 28 = 0
⇒ (y + 4) (2y + 7) = 0
⇒ y = -4, -7/2
⇒ x≥ y
296. Ans
I. 3𝑥 2 − 15𝑥 − 8𝑥 + 40 = 0
3𝑥(𝑥 − 5) − 8(𝑥 − 5) = 0
8
𝑥 = ,5
3 3
II. 2y² – 15y – 17 = 0
⇒ 2y² - 17y + 2y – 17 = 0
⇒ (y + 1) (2y – 17) = 0
17
⇒ y= -1,
3
2
II. 2𝑦 2 − 23𝑦 + 66 = 0
2𝑦 2 − 12𝑦 − 11𝑦 + 66 = 0
2𝑦(𝑦 − 6) − 11(𝑦 − 6) = 0
11
𝑦 = 6,
No relation
292. Ans
I. 2x² - 7x + 3 = 0
⇒ 2x² - 6x – x +3 = 0
⇒ (x – 3) (2x – 1) = 0
1
⇒ x = 3, ,
2
𝑥<𝑦
297. Ans
I. 𝑥 2 − 14𝑥 − 5𝑥 + 70 = 0
𝑥(𝑥 − 14) − 5(𝑥 − 14) = 0
𝑥 = 5, 14
II. 2𝑦 2 − 10𝑦 − 7𝑦 + 35 = 0
2𝑦(𝑦 − 5) − 7(𝑦 − 5) = 0
7
𝑦 = 5,
2
II. 2y² - 7y +6 = 0
⇒ 2y² - 4y – 3y + 6 =0
⇒ (y – 2) (2y – 3) = 0
⇒ y = 2, 3/2
No relation
293. Ans
I. 4x² + 16x + 15 = 0
⇒ 4x² + 10x + 6x + 15 = 0
⇒ 2x (2x + 5) + 3 (2x + 5) = 0
⇒ (2x + 5) (2x + 3) = 0
⇒ x= -5/2, -3/2
II. 2y² + 3y + 1 = 0
⇒ 2y² + 2y + y + 1 = 0
⇒ (y + 1) (2y + 1) = 0
⇒ y = -1, -1/2
y>x
294. Ans
. 9x² - 45x + 56 = 0
⇒ 9x² - 24x – 21x + 56 = 0
⇒ 3x(3x – 8) – 7 (3x – 8) = 0
⇒ (3x – 8) (3x – 7) = 0
⇒ x = 8/3, 7/3
II. 4y² - 17y + 18 = 0
⇒ 4y² - 8y – 9y + 18 = 0
⇒ (y – 2) (4y – 9) = 0
2
𝑥≥𝑦
298. Ans
I. 2𝑥 2 − 4𝑥 − √13𝑥 + 2√13 = 0
2𝑥(𝑥 − 2) − √13(𝑥 − 2) = 0
𝑥=
√13
2
,2
2
II. 10𝑦 − 18𝑦 − 5√13𝑦 + 9√13 = 0
2𝑦(5𝑦 − 9) − √13(5𝑦 − 9) = 0
𝑦=
√13 9
2
,
5
299. Ans
I. 𝑥 = 22, −22
II. 𝑦 2 − 22𝑦 − 23𝑦 + 506 = 0
𝑦(𝑦 − 22) − 23(𝑦 − 22) = 0
𝑦 = 22, 23
𝑥≤𝑦
300. Ans
I. 𝑥 − 4√3𝑥 − 3√3𝑥 + 36 = 0
√𝑥(√𝑥 − 4√3) − 3√3(√𝑥 − 4√3) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
424
@Crossword2022
27
3
⇒𝑦=
36
4
⇒ 𝑦 = 0.75
𝑥>𝑦
306. Ans
I. 25x² + 35x + 12 = 0
⇒ 25x² + 20x + 15x + 12 = 0
⇒ (5x + 4) (5x + 3) = 0
4 3
⇒ 𝑥 = − ,−
5 5
II. 10y² + 9y + 2 = 0
⇒ 10y² + 5y + 4y +2 = 0
⇒ (2y + 1) (5y + 2) = 0
1
2
⇒y = − ,−
√𝑥 = 3√3, 4√3
𝑥 = 27, 48
II. 𝑦 − 7√2𝑦 − 5√2𝑦 + 70 = 0
√𝑦(√𝑦 − 7√2) − 5√2(√𝑦 − 7√2) = 0
⇒𝑦=
√𝑦 = 7√2, 5√2
𝑦 = 98, 50 , 𝑥 < 𝑦
301. Ans
I. 𝑥 2 − 241 = 243
⇒ 𝑥 2 = 484 ⇒ 𝑥 = ±22
II. 𝑦 2 + 44𝑦 + 484 = 0
⇒ (𝑦 + 22)2 = 0
⇒ 𝑦 = −22
𝑥≥𝑦
302. Ans
I. 𝑥 2 − 11𝑥 + 24 = 0
⇒ (𝑥 − 8)(𝑥 − 3) = 0
⇒ 𝑥 = 8, 3
II. 3𝑦 2 − 7𝑦 − 6 = 0
⇒ 3𝑦 2 − 9𝑦 + 2𝑦 − 6 = 0
⇒ (𝑦 − 3)(3𝑦 + 2) = 0
2
⇒ 𝑦 = 3, −
3
𝑥≥𝑦
303. Ans
I. 𝑥 3 × 17 = 𝑥 2 × 221
⇒ 17𝑥 2 (𝑥 − 13) = 0
⇒ 𝑥 = 0, 13
2
2
3
II. 𝑦 5 × 11 = 143 ÷ 𝑦 5
⇒ 𝑦 = 13
𝑦≥𝑥
304. Ans
45
18
𝑥4
𝑥4
I. 3 − 3 = 𝑥
5
y>x
307. Ans
From I:
x3 = 1065 - 336
x3 = 729
x=9
From II:
y2 - y - 72 = 0
y2 - 9y + 8y - 72 = 0
(y - 9)(y + 8) = 0
y = 9, -8
So, x ≥ y
308. Ans
I. 3x² - 13x – 10 = 0
3x² - 15x + 2x – 10 = 0
(x – 5) (3x + 2) = 0
2
x= 5, −
3
II. 3y² + 10y – 8 = 0
⇒ 3y² + 12y – 2y – 8 = 0
⇒ (y + 4) (3y – 2)= 0
2
⇒ 𝑦 = −4,
9
4
⇒ 𝑥 3 = 27
⇒𝑥=3
3
No relation
309. Ans
I. 2x² - 21x + 52 = 0
⇒ 2x² - 8x – 13x + 52 = 0
⇒ (x – 4) (2x – 13) = 0
13
⇒ 𝑥 = 4,
2
II. 2y² - 11y + 12 = 0
⇒ 2y² - 8y – 3y + 12= 0
⇒ (y – 4) (2y – 3) = 0
3
⇒ 𝑦 = 4,
II. 𝑦 4 = 724 − 643
𝑦 4 = 81
𝑦 = ±3
𝑥≥𝑦
305. Ans
I. √50𝑥 = √40
40
⇒𝑥=
50
⇒ 𝑥 = 0.8
II. √36𝑦 − √27 = 0
2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
425
@Crossword2022
x≥y
310. Ans
I. 88x2 – 7x – 15 = 0
88x2 – (40 – 33)x – 15 = 0
88x2 – 40x + 33x – 15 = 0
8x (11x – 5) + 3 (11x – 5) = 0
(8x + 3) (11x – 5) = 0
x = 5/11, – 3/8
II. 27y2 – 6y – 8 = 0
27y2 – (18 – 12)y – 8 = 0
27y2 – 18y + 12y – 8 = 0
9y (3y – 2) + 4 (3y – 2) = 0
(3y – 2) (9y + 4) = 0
y = 2/3, – 4/9
While comparing the root values of x and y,
both the values of x's lies between the values
of y's.
311. Ans
I. 𝑥 5 = 243 ⇒ x = 3
II. y² – 5y + 6 = 0
⇒ (y – 3) (y – 2) = 0
⇒ y = 2, 3
x≥y
312. Ans
I. 3x² – 8x + 4 = 0
⇒ 3x² – 6x – 2x + 4 = 0
⇒ (x – 2) (3x – 2) = 0
2
⇒ x = 2,
315. Ans
I. x = 0.992
II. (3y – 2)² = 0
2
𝑦=
3
x>y
316. AnsFrom I:
x2 – 9√3x + 60 = 0
Or, x2 – 5√3x – 4√3x + 60 = 0
Or, x(x – 5√3) – 4√3(x – 5√3) = 0
Or, (x – 5√3)(x – 4√3) = 0
Or, x = 5√3 or x = 4√3
From II:
y2 = 5√3y
Or, y2 – 5√3y = 0
Or, y(y – 5√3) = 0
Or, y = 0 or y = 5√3
So, no relation can be established between ‘x’
and ‘y’.
317. Ans
I. x2 + 1 = (x + 5)/3
3x2 - x - 2 = 0
3x2 - 3x + 2x - 2 = 0
3x (x - 1) + 2 (x - 1) = 0
(x - 1) (3x + 2) = 0
x = 1 and -2/3
II.
3y + 8/y = -14
3y2 + 14y + 8 = 0
3y2 + 12y + 2y + 8 = 0
3y (y + 4) + 2 (y + 4) = 0
(y + 4) (3y + 2) = 0
y = -4 and -2/3
Hence, x ≥ y
318. Ans
I. 2𝑥 2 + 15𝑥 + 28 = 0
⇒ 2𝑥 2 + 8𝑥 + 7𝑥 + 28 = 0
⇒ (𝑥 + 4)(2𝑥 + 7) = 0
7
⇒ 𝑥 = −4, −
2
II. 4𝑦 2 + 18𝑦 + 14 = 0
⇒ 2𝑦 2 + 9𝑦 + 7 = 0
⇒ 2𝑦 2 + 2𝑦 + 7𝑦 + 7 = 0
⇒ (𝑦 + 1)(2𝑦 + 7) = 0
7
⇒ 𝑦 = −1, −
3
II. y² – 3y + 2 = 0
⇒ (y – 1) (y – 2) = 0
⇒ y = 1, 2
No relation
313. Ans
I. 11x + 7 = 0
7
⇒𝑥=−
11
II. (11y + 7)² = 0
7
⇒𝑦=−
11
x=y
314. Ans
I. 𝑥 4 = 625
⇒ x = ±5
II. 2y² – 10y + 5y – 25 = 0
⇒ (y – 5) (2y + 5) = 0
5
⇒ y = 5, −
2
2
No relation
𝑦≥𝑥
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
426
@Crossword2022
319. Ans
I. x² - 2x + 1 = 0
II. 2y² - 6y + 4 = 0
Solution
From I,
x2 - x - x + 1 = 0
(x-1)2 = 0
x=1
From II,
y2 - 3y + 2 = 0
y2 - y - 2y + 2 = 0
(y-1)(y-2) = 0
y = 1 or 2
Therefore, y ≥ x. Hence,
320. Ans
(I) 15x2 - 11x + 2 = 0
=> 15x2 - 5x - 6x + 2 = 0
=> (3x - 1)(5x - 2) = 0
=> x = 1/3 or 2/5
(II) 5y 2 - 6y + 1 = 0
=> 5y 2 - 5y - y + 1 = 0
=> 5y(y - 1) - (y - 1) = 0
=> (y - 1)(5y - 1) = 0
=> y = 1 or, 1/5
When x = 1/3 and y = 1, then x < y
When x = 1/3 and y = 1/5, then x > y
When x = 2/5 and y = 1, then x < y
When x = 2/5 and y = 1/5, then x > y
Then relationship cannot be established
321. Ans
I. 2x² - 7x+ 3 =0
⇒ 2x² - 6x – x + 3 = 0
⇒ (x- 3) (2x- 1) = 0
1
x =3,
⇒ 𝑦 = −1, −
1
2
y>x
323. Ans
I. x3 – 2744 = 0
x3 = 2744
x = 14
II. y2 – 256 = 0
y2 = 256
y = ± 16
While comparing the values of x and y, one root
value of x lies between the root values of y.
324. Ans
I. 2x² + 11x + 14 = 0
⇒ 2x² + 4x+ 7x+ 14 = 0
⇒ (x+ 2) (2x+ 7) = 0
7
⇒ x = -2,2
II. 2y² + 15y + 28 = 0
⇒ 2y² + 8y+ 7y+ 28 = 0
⇒ (y+ 4) (2y+ 7) = 0
−7
⇒ y = -4,
2
x≥y
325. Ans
I. 6x² + 11x+ 4 = 0
⇒ 6x² +8x+ 3x+ 4 = 0
⇒ (3x+ 4) (2x+ 1) = 0
4 1
⇒ x = − ,−
3 2
II. 4𝑦 2 − 7𝑦 − 2 = 0
⇒ 4y² - 8y +y – 2 = 0
⇒ (y – 2) (4y+ 1)= 0
1
⇒ 𝑦 = 2, −
4
y>x
326. Ans
I. x2 – 29x + 210 = 0
⇒ x2 – 14x – 15x + 210 = 0
⇒ x (x – 14) – 15 (x – 14) = 0
⇒ (x – 14) (x – 15) = 0
x = 14, 15
II. y2 = 196 ⇒ y = ± 14
Hence, x ≥ y
327. Ans
30
12
I. 2 =
2
II. 2𝑦 2 − 7𝑦 + 6 = 0
⇒ 2y² - 4y -3y+ 6 = 0
⇒ (y- 2) (2y - 3)= 0
3
⇒ 𝑦 = 2,
2
No relation between x & y
322. Ans
I. 4𝑥 2 + 16𝑥 + 15 = 0
⇒ 4𝑥 2 + 10𝑥 + 6𝑥 + 15 = 0
⇒ (2x + 5) (2x + 3)= 0
−5 −3
⇒𝑥=
,
2 2
II. 2𝑦 2 + 3𝑦 + 1 = 0
⇒ (2y+ 1) (y+ 1) = 0
𝑥
𝑥
⇒ 4𝑥 2 − 10 = 0
⇒ 2𝑥 2 − 5𝑥 = 0
⇒ 𝑥(2𝑥 − 5) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
427
@Crossword2022
5
2
II. 𝑦 2 = 6.25
𝑦 = ±2.5
No relation
328. Ans
I. √900𝑥 = −√1296
36
⇒𝑥=−
30
⇒ 𝑥 = −1.2
5
3
5
2
3
II. 6𝑦 2 − 5𝑦 − 25 = 0
⇒ 6y² - 15y + 10y – 25 = 0
⇒ (2y- 5) (3y+ 5) = 0
5
5
⇒ 𝑦 = ,−
No relation
334. Ans
I. 3x² + 22x + 7 = 0
⇒ 3x² - 21x- x +7 = 0
⇒ (x- 7) (3x -1) = 0
1
⇒ 𝑥 = 7,
3
II. 𝑦 2 − 20𝑦 + 91 = 0
⇒ y² -13y – 7y + 91 = 0
⇒ (y – 13) (y- 7) = 0
⇒ y = 7, 13
335. Ans
I.2x2 – 13x + 21 = 0
⇒ 2x2 –6x – 7x + 21 = 0
⇒ (x–3) (2x – 7) = 0
7
⇒ x = 3,
2
II.2y2 – 9y + 10 = 0
⇒ 2y2 – 4y – 5y + 10 = 0
⇒ (y –2) (2y –5) = 0
5
⇒ y = 2,
3
y>x
331. Ans
I. 12x² -x – 1=0
⇒ 12x²- 4x+ 3x – 1= 0
⇒ (3x-1) (4x-1) = 0
1
1
⇒ 𝑥 = ,−
3
2
x≥y
333. Ans
I. 15x² - 29x – 14 = 0
15x² - 35x +6x – 14 = 0
⇒ (3x – 7) (5x+ 2) = 0
7
2
⇒ 𝑥 = ,−
II. (256)4 𝑦 = −(216)3
6
⇒ 𝑦 = − ⇒ 𝑦 = −1.5
4
𝑥>𝑦
329. Ans
243 + 343
𝑥3 =
3
586
𝑥3 =
3
II. 10𝑦 3 = 30 ⇒ 𝑦 3 = 3
∵ 𝑥 3 > 𝑦3 ⇒ 𝑥 > 𝑦
330. Ans
I.6x² + 25x +24 = 0
⇒ 6x² +9x+ 16x + 24 = 0
⇒ (2x+ 3) (3x+ 8)= 0
−8 3
⇒𝑥=
,−
3
2
II. 12y² + 13y+ 3 = 0
⇒ 12y² + 9y+ 4y + 3 = 0
⇒(4y+ 3) (3y+ 1) = 0
−3 −1
⇒𝑦 = ,
4
3
II. 5y² + 19y+ 18 = 0
⇒ 5y² + 10y + 9y+ 18 = 0
⇒ (y + 2) (5y+ 9) = 0
9
⇒ y = -2, −
1
1
9
5
⇒ 𝑥 = − ,−
⇒ 𝑥 = 0,
2
4
x>y
336. Ans
I.3x2 – 14x + 15 = 0
⇒ 3x2 – 9x – 5x + 15 = 0
⇒ (x–3) (3x–5) = 0
5
⇒ x = 3,
3
II.2y2 – 9y + 9 = 0
⇒ 2y2 – 6y – 3y + 9 = 0
⇒ (y–3) (2y–3) = 0
II. 20y² - 41y + 20= 0
⇒ 20y² - 25y – 16y+ 20 = 0
⇒ (4y- 5) (5y- 4) = 0
5 4
⇒𝑦 = ,
4 5
y>x
332. Ans
10x² + 33x+ 27 = 0
⇒ 10x² + 15x+ 18x+ 27 = 0
⇒ (2x + 3) (5x+ 9) = 9
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
428
@Crossword2022
⇒ y = 3,
3
II. 5𝑦 2 + 3𝑦 − 8 = 0
⇒ 5𝑦 2 + 8𝑦 − 5𝑦 − 8 = 0
⇒ (5𝑦 + 8)(𝑦 − 1) = 0
8
⇒ 𝑦 = 1, −
5
No relation
343. Ans
I. 11𝑥 2 − 26𝑥 + 8 = 0
⇒ 11𝑥 2 − 22𝑥 − 4𝑥 + 8 = 0
⇒ (𝑥 − 2)(11𝑥 − 4) = 0
4
𝑥 = 2,
11
64
II. 𝑦 3 =
1331
4
⇒𝑦=
11
𝑥≥𝑦
344. Ans
I. 𝑥 2 − 9𝑥 + 20 = 0
⇒ (𝑥 − 4)(𝑥 − 5) = 0 ⇒ 𝑥 = 4, 5
II. 2𝑦 2 − 13𝑦 + 18 = 0
⇒ 2𝑦 2 − 4𝑦 − 9𝑦 + 18 = 0
⇒ (𝑦 − 2)(2𝑦 − 9) = 0
9
⇒ 𝑦 = 2,
2
No relation
345. Ans
I. 𝑞 2 + 𝑞 − 2 = 0
⇒ (𝑞 + 2)(𝑞 − 1) = 0
⇒ 𝑞 = −2,1
II. p2 + 7p + 12 = 0
⇒ (p + 3)(p + 4) = 0
⇒ p = −3, −4
q>p
346. Ans
I. 6𝑝2 + 5𝑝 + 1 = 0
⇒ (3𝑝 + 1)(2𝑝 + 1) = 0
1 1
⇒ 𝑝 = − ,−
3 2
II. 20𝑞 2 + 9𝑞 + 1 = 0
⇒ (5𝑞 + 1)(4𝑞 + 1) = 0
1 1
⇒ 𝑞 = − ,−
5 4
𝑞>𝑝
347. Ans
I. 3𝑝2 + 2𝑝 − 1 = 0
⇒ (𝑝 + 1)(3𝑝 − 1) = 0
1
⇒ 𝑝 = , −1
3
2
No relation
337. Ans. (b )
I.3x2 – 10x + 8 = 0
⇒ 3x2 – 6x – 4x + 8 = 0
⇒ (x–2) (3x – 4) = 0
4
⇒ x = 2,
3
II.2y2 – 11y + 15 = 0
⇒2y2 – 6y – 5y + 15 = 0
⇒(y–3) (2y –5) = 0
5
⇒ y = 3,
2
y>x
338. Ans
I.x2 = 25 ⇒ x = ± 5
II.y2 – 6y + 9 = 0 ⇒ (y – 3)2 = 0
⇒ y=3
No. relation
339. Ans.
I.x2 = 10 ⇒ x = ± √10
II.y2 – 9y + 20 = 0
⇒ (y – 5)(y – 4) = 0
⇒ y = 5, 4
y>x
340. Ans
I. 3𝑥 2 − 11𝑥 + 10 = 0
⇒ 3𝑥 2 − 6𝑥 − 5𝑥 + 10 = 0
⇒ (𝑥 − 2)(3𝑥 − 5) = 0
5
⇒ 𝑥 = 2,
3
II. 2𝑦 2 − 3𝑦 − 2 = 0
⇒ 2𝑦 2 − 4𝑦 + 𝑦 − 2 = 0
⇒ (𝑦 − 2)(2𝑦 + 1) = 0
1
⇒ 𝑦 = 2, −
2
No relation
341. Ans
I. 𝑥 4 = 1296 ⇒ 𝑥 = ±6
II. 𝑦 2 − 9𝑦 + 18 = 0
⇒ (𝑦 − 6)(𝑦 − 3) = 0
⇒ 𝑦 = 6, 3
No relation
342. Ans
2
1
I. 2 =
𝑥
𝑥
⇒ 𝑥(𝑥 − 2) = 0
⇒ 𝑥 = 0,2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
429
@Crossword2022
II. 2𝑞 2 + 7𝑞 + 6 = 0
⇒ 2𝑞 2 + 4𝑞 + 3𝑞 + 6 = 0
⇒ (𝑞 + 2)(2𝑞 + 3) = 0
3
⇒ 𝑞 = −2, −
2
𝑝>q
348. Ans
I. 𝑝2 + 5𝑝 + 6 = 0
⇒ (𝑝 + 2)(𝑝 + 3) = 0
⇒ 𝑝 = −2, −3
II. 𝑞 2 + 7𝑞 + 12 = 0
⇒ (𝑞 + 3)(𝑞 + 4) = 0
⇒ 𝑞 = −3, −4
𝑝≥𝑞
349. Ans
2
I. 𝑝 =
∴ x = 3, 8
II. 2y2 – 9y + 9 = 0
or, 2y2 – 6y – 3y + 9 = 0
or, 2y(y – 3) – 3(y – 2) = 0
or, (2y – 3) (y – 3) = 0
3
∴ y=
,3
2
Clearly, x ≥ y.
352. Ans
I. 6𝑥 2 + 41𝑥 + 63 = 0
⇒ 6x 2 + 14x + 27x + 63 = 0
⇒ (3x + 7)(2x + 9) = 0
7 9
⇒ x = − ,−
3 2
II. 12𝑦 2 + 55𝑦 + 63 = 0
⇒ 12𝑦 2 + 28𝑦 + 27𝑦 + 63 = 0
⇒ (3𝑦 + 7)(4𝑦 + 9) = 0
7 9
⇒ 𝑦 = − ,−
3 4
y≥x
353. Ans
I. 4𝑥 2 + 11𝑥 + 6 = 0
⇒ 4𝑥 2 + 8𝑥 + 3𝑥 + 6 = 0
⇒ (𝑥 + 2)(4𝑥 + 3) = 0
3
⇒ 𝑥 = −2, −
4
II. 2𝑦 2 + 11𝑦 + 15 = 0
⇒ 2𝑦 2 + 6𝑦 + 5𝑦 + 15 = 0
⇒ (𝑦 + 3)(2𝑦 + 5) = 0
5
⇒ 𝑦 = −3, −
𝑥>𝑦
2
354. Ans
I. 2x2 – 23x + 56 = 0
2x2 – 16x – 7x + 56 = 0
2x (x – 8) – 7 (x – 8) = 0
(2x – 7) (x – 8) = 0
7
x=
,8
2
II. 4y2 – 19y + 12 = 0
4y2 – 16y – 3y + 12 = 0
4y (y – 4) – 3 (y – 4) = 0
(4y – 3) (y – 4) = 0
3
y= ,4
4
Hence, no relationship can be established.
355. Ans
I. 4𝑥 + 7𝑦 = 209
II. 12𝑥 − 14𝑦 = −38
3
II. 9𝑞 2 − 12𝑞 + 4 = 0
⇒ (3𝑞 − 2)2 = 0
2
⇒𝑞=
3
𝑝=𝑞
350. Ans
From equation I:
x2 +47x +552 = (x + 23)(x + 24)= 0
=> x = -23, -24
From equation II:
y2 -2y -143 = (y + 11)(y -13) = 0
=> y = -11, 13
So, x < y
From I:
2x2 - 13x + 21 = 0
2x2 - 7x - 6x + 21 = 0
(x - 3)(2x - 7) = 0
x = 3, 7/2
x = 3, 3.5A
From II:
2y2 - 9y + 10 = 0
2y2 - 5y - 4y + 10 = 0
(y - 2)(2y - 5) = 0
y = 2, 5/2
y = 2, 2.5
So, x > y
351. Ans
I. x2 – 11x + 24 = 0
or, x2 – 8x – 3x + 24 = 0
or, x(x – 8) – 3(x – 8) = 0
or, x(x – 3) (x – 8) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
430
@Crossword2022
or 6𝑥 − 7𝑦 = −19
Adding I and II we get
10x = 190 ⇒ x = 19
∴ 7y = 114 + 19 ⇒ y = 19
x=y
356. Ans
I. 17x² + 48x = 9
⇒ 17x² + 48x – 9 = 0
⇒ 17x² + 51x – 3x – 9 = 0
⇒ (x + 3) (17x – 3) = 0
3
⇒ 𝑥 = – 3,
17
II. 13𝑦 2 − 32𝑦 + 12 = 0
⇒ 13𝑦 2 − 26𝑦 − 6𝑦 + 12 = 0
⇒ (𝑦 − 2)(13𝑦 − 6) = 0
6
⇒ 𝑦 = 2,
13
y>x
357. Ans
I. 8x² + 10x + 3 = 0
⇒ 8x² + 4x + 6x + 3 = 0
⇒ (2x + 1) (4x + 3) = 0
1 3
⇒ x = − ,−
2 4
II. 5y² + 19y + 12 = 0
⇒ 5y² + 15y + 4y + 12 = 0
⇒ (y + 3) (5y + 4) = 0
4
⇒ (y + 3)(5y + 4) = 0 ⇒ y = – 3, –
x≥y
360. Ans
3
361. Ans
I. 𝑥 = √625 = +25
II. 𝑦 = √676 = +26
So, 𝑦 > 𝑥
362. Ans
From I, x 2 - 14x + 45 = 0
x2 – 9x - 5x + 45 = 0
x(x – 9) - 5(x – 9) = 0
(x – 9)(x - 5) = 0
x = 9, 5
From II, y 2 - 19y + 88 = 0
y2 - 8y - 11y + 88 = 0
y(y - 8) - 11(y - 8) = 0
(y - 8)(y - 11) = 0
y = 8, 11
363. Ans
I. 𝑥 2 − (16)2 = (23)2 − 56
or 𝑥 2 − 256 = 529 − 56
∴ 𝑥 = √729 = ±27
II. 𝑦 1/3 − 55 + 376 = (18)2
or 𝑦1/3 = 324 + 55 − 376
∴ 𝑦 = (3)3 = 27
∴𝑦≥𝑥
364. Ans
I. 𝑥 2 − 19𝑥 + 84 = 0
𝑥 2 − 7𝑥 − 12𝑥 + 84 = 0
(𝑥 − 7)(𝑥 − 12) = 0
∴ 𝑥 = 7, 12
II. 𝑦 2 − 25𝑦 + 156 = 0
𝑦 2 − 13𝑦 − 12𝑦 + 156 = 0
(𝑦 − 13)(𝑦 − 12) = 0
⇒ 𝑦 = 13, 12
∴𝑥≤𝑦
5
4
II. 6y² – 11y + 4 = 0
⇒ 6y² – 3y – 8y + 4 = 0
⇒ (2y – 1) (3y – 4) = 0
1 4
⇒𝑦= ,
2 3
y≥x
359. Ans
I. 9x² + 9x + 2 =0
⇒ 9x² + 3x + 6x + 2 = 0
1
2
⇒ (3x + 1) (3x + 2) = 0 ⇒ x = − , −
3
2
4
I.x 3 ×13 = x 2 × 247
3
x
247
or 2 
x
13
x  19
II.y1/3 ×14 = 294 ÷ y 2/3
294
y1/3  y 2/3 
14
or, y  21
x y
x>y
358. Ans
I. 8x² + 6x – 5 = 0
⇒ 8x² – 4x + 10x – 5 = 0
1
5
⇒ (2x – 1) (4x + 5) = 0 ⇒ x = , −
2
7
⇒ (4y + 7) (3y + 2) = 0 ⇒ 𝑦 = – , –
3
II. 12y² + 29y + 14 = 0
⇒ 12y² + 21y + 8y + 14 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
431
@Crossword2022
3
365. Ans
I. 4𝑝2 − 10𝑝 − 6𝑝 + 15 = 0
2𝑝(2𝑝 − 5) − 3(2𝑝 − 5) = 0
3 5
𝑝= ,
⇒𝑥 = √216 = 6
II. 6y² = 150
150
⇒ y² =
= 25 ⇒𝑦 = ±5
6
∴x>y
372. Ans
x² – 6x – 7 = 0
⇒x² – 7x +x– 7 = 0
⇒x(x – 7)+1(x – 7)=0
⇒ (x + 1) (x – 7) = 0
⇒ x = –1 or 7
II. 2y² + 13y + 15 = 0
⇒ 2y² + 3y + 10y + 15 = 0
⇒y(2y + 3)+5 (2y + 3) = 0
⇒ (y + 5) (2y + 3) = 0
3
⇒ y = –5 or −
2 2
2
II. 2𝑞 − 2𝑞 + 7𝑞 − 7 = 0
2𝑞(𝑞 − 1) + 7(𝑞 − 1) = 0
−7
𝑞 = ,1
2
𝑝>𝑞
366. Ans
I. 𝑝2 − 7𝑝 − 5𝑝 + 35 = 0
𝑝(𝑝 − 7) − 5(𝑝 − 7) = 0
𝑝 = 5, 7
II. 𝑞 = 5, −5
𝑝≥𝑞
367. Ans
I. 𝑝2 − 7𝑝 − 5𝑝 + 35 = 0
=> (𝑝 − 7)(𝑝 − 5) = 0 => 𝑝 = 5 𝑜𝑟 7
II. 2𝑞 2 − 14𝑞 − 8𝑞 + 56 = 0
=> (𝑞 − 7)(2𝑞 − 8) = 0
=> 𝑞 = 7 𝑜𝑟 4
No relation between p and q
368. Ans
3𝑝 + 2𝑞 = 58…..(i)
4𝑝 + 4𝑞 = 92……(ii)
On (i) ×2 – (ii),
2𝑝 = 24 => 𝑝 = 12 𝑎𝑛𝑑 𝑞 = 11
𝑝>𝑞
369. Ans
I. √𝑝 + 6 = √121 − √36
⇒ √𝑝 + 6 = 11 − 6 = 5
⇒ 𝑝 + 6 = 25 ⇒ 𝑝 = 19
II. 𝑞 2 = 361 ⇒ 𝑞 = ±19
∴𝑝≥𝑞
370. Ans
I. 12x² + 17x + 6 = 0
⇒12x² + 8x+ 9x + 6 = 0
⇒4x(3x+2)+3 (3x+2)=0
⇒ (4x+ 3) (3x+2) = 0
3
2
⇒𝑥 = − 𝑜𝑟 −
4
2
∴x>y
373. Ans
I. x² - x −√2𝑥 + √2 = 0
⇒x(x - 1) – √2(𝑥 − 1) = 0
⇒(𝑥 − √2)(𝑥 − 1) = 0
⇒𝑥 = √2 𝑜𝑟 1
II. y² – 3y +2 = 0
⇒ y² - 2y – y+ 2 = 0
⇒y (y – 2) – 1 (y - 2) = 0
⇒ (y - 1) (y - 2) = 0
⇒ y= 1 or 2
∴ Relation cannot be established between x
and y.
374. Ans
I. x² = 463 + 321 = 784
∴ x = ±28
II.𝑦 2 = 308 + 421 = 729
∴ 𝑦 = ±27
Relation cannot be established between x and
y.
375. Ans
I. y² + 2y – 3 = 0
y² +3y – y - 3 = 0
(y + 3) (y- 1) = 0
y = -3 or 1
II. 2x² -7x + 6 = 0
2x² - 4x -3x + 6= 0
2x(x - 2) – 3 (x- 2) = 0
(x - 2) (2x - 3) = 0
3
x = 2 or
3
II. 6y² + 5y+ 1= 0
⇒6y² + 3y + 2y+ 1=0
⇒3y(2y+ 1)+1(2y+ 1)=0
⇒ (3y+ 1) (2y+ 1) = 0
1
1
⇒𝑦 = − 𝑜𝑟 −
∴x<y
3
2
371. Ans
1
2
𝑥 3 = (216)3×3 = 216
x>y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
432
@Crossword2022
376. Ans
I. x² = 961
x = ± 31
II. y =√961 = 31
y≥x
377. Ans
I. 15x² - 19x +6 = 0
15x² - 9x – 10x + 6 = 0
3x (5x - 3) -2 (5x - 3) = 0
(5x- 3) (3x- 2) = 0
3
2
𝑥 = 𝑜𝑟
5
3
II. 45y² - 47y + 12= 0
45y² - 20y – 27y + 12= 0
5y (9y - 4) – 3 (9y - 4) = 0
(9y - 4) (5y - 3) = 0
4
3
𝑦 = 𝑜𝑟
9
5
x≥y
378. Ans
I. 2x² + 5x + 2 = 0
2x² + 4x + x + 2 = 0
2x (x + 2) +1 (x+ 2) = 0
1
x = -2 or −
2x(4x + 5) – 1(4x + 5) = 0
(4x + 5) (2x - 1) = 0
−5
1
𝑥=
, 𝑜𝑟
4
2
II. 12y² - 22y + 8 = 0
12y² – 16y – 6y + 8 = 0
4y(3y – 4) –2 (3y – 4) = 0
(3y – 4) (4y – 2) = 0
4
2
𝑦 = 𝑜𝑟
3
4
y≥x
381. Ans
I. 3x2 + 7x + 4 = 0
⇒ 3x2 + 3x + 4x + 4 = 0
⇒ 3x (x + 1) + 4 (x + 1) = 0
⇒ (3x + 4) (x + 1) = 0
4
x=–
,–1
3
II. 4y2 + 16y + 12 = 0
or, y2 + 4y + 3 = 0
⇒ y2 + 3y + y + 3 = 0
⇒ y (y + 3) + 1 (y + 3) = 0
⇒ (y + 3) (y + 1) = 0 ⇒ y = – 3, – 1
While comparing the root values of x and y,
we find that one root value of x is lies between
the values of y. Therefore, the relation
between x and y can't be established.
382. Ans
I. x2 – 16 = 0
x=±4
II.y²– 9y + 20 = 0
y² – 5y – 4y + 20 = 0
y(y – 5) –4 (y– 5) = 0
(y– 5) (y– 4) = 0
y = 5 or 4
y≥x
383. Ans
I. x² = 144
x = ± 12
II.y= √169
y = 13
y>x
384. Ans
I. 2x² + 11x + 14 = 0
2x² + 7x + 4x + 14 = 0
x(2x + 7) +2 (2x+ 7) = 0
−7
𝑥=
𝑜𝑟 − 2
2
2
II. 12 y² + 7y + 1 = 0
12y² + 4y+ 3y+ 1 = 0
4y(3y + 1) + 1 (3y+ 1) = 0
(3y + 1) (4y+ 1) = 0
1
1
𝑦 = − 𝑜𝑟 −
3
4
y>x
379. Ans
I. 2x² –13x + 21 = 0
2x² - 7x - 6x + 21 = 0
x(2x - 7) – 3 (2x - 7) = 0
(2x - 7) (x - 3) = 0
7
𝑥 = 𝑜𝑟 3
2
II. 5y² - 22y + 21 = 0
5y² - 15y – 7y + 21 = 0
5y(y- 3) – 7 (y- 3) = 0
(y - 3) (5y - 7) = 0
7
𝑦 = 3 𝑜𝑟
5
𝑥≥𝑦
380. Ans
I. 8x² + 6x – 5 = 0
8x² + 10x – 4x -5 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
433
@Crossword2022
II. 4y² + 12y + 9 = 0
4y² + 6y +6y + 9 = 0
2y (2y+ 3) + 3 (2y+ 3) = 0
(2y + 3) (2y + 3) = 0
−3
−3
𝑦=
𝑜𝑟
2
2
y>x
385. Ans
I. 2𝑥 2 + 19𝑥 + 45 = 0
⇒ 2𝑥 2 + 10𝑥 + 9𝑥 + 45 = 0
⇒ (𝑥 + 5)(2𝑥 + 9) = 0
9
⇒ 𝑥 = −5, −
2
II. 2𝑦 2 + 11𝑦 + 12 = 0
⇒ 2𝑦 2 + 8𝑦 + 3𝑦 + 12 = 0
⇒ (𝑦 + 4)(2𝑦 + 3) = 0
3
⇒ 𝑦 = −4, − ⇒ 𝑥 < 𝑦
2
386. Ans
I. 3𝑥 2 − 13𝑥 + 12 = 0
⇒ 3𝑥 2 − 9𝑥 + 4𝑥 + 12 = 0
⇒ (𝑥 − 3)(3𝑥 − 4) = 0
4
⇒ 𝑥 = 3,
3
II. 2𝑦 2 − 15𝑦 + 28 = 0
⇒ 2𝑦 2 − 8𝑦 − 7𝑦 + 28 = 0
⇒ (𝑦 − 4)(2𝑦 − 7) = 0
7
⇒ 𝑦 = 4,
2
𝑥<𝑦
387. Ans
I. 𝑥 2 = 16
⇒ 𝑥 = 4, −4
II. 2𝑦 2 − 17𝑦 + 36 = 0
⇒ 2𝑦 2 − 8𝑦 − 9𝑦 + 36 = 0
⇒ (𝑦 − 4)(2𝑦 − 9) = 0
9
⇒ 𝑦 = 4,
2
𝑥≤𝑦
388. Ans
I. 6𝑥 2 + 19𝑥 + 15 = 0
⇒ 6𝑥 2 + 9𝑥 + 10𝑥 + 15 = 0
⇒ (2𝑥 + 3)(3𝑥 + 5) = 0
3 5
⇒ 𝑥 = − ,−
2 3
II. 3𝑦 2 + 11𝑦 + 10 = 0
⇒ 3𝑦 2 + 6𝑦 + 5𝑦 + 10 = 0
⇒ (𝑦 + 2)(3𝑦 + 5) = 0
⇒ 𝑦 = −2, −
5
3
⇒ 𝑥≥𝑦
389. Ans
I. 2𝑥 2 − 11𝑥 + 15 = 0
⇒ 2𝑥 2 − 6𝑥 − 5𝑥 + 15 = 0
⇒ (𝑥 − 3)(2𝑥 − 5) = 0
5
⇒ 𝑥 = 3,
2
II. 2𝑦 2 − 11𝑦 + 14 = 0
⇒ 2𝑦 2 − 6𝑦 − 7𝑦 + 14 = 0
⇒ (𝑦 − 2)(2𝑦 − 7) = 0
7
⇒ 𝑦 = 2,
2
No relation between 𝑥 and 𝑦
390. Ans
I. √𝑥 −
√6
=0
√𝑥
⇒ 𝑥 = √6
3
II. 𝑦 3 − 62 = 0
3
1
⇒ 𝑦 3 = 62 ⇒ 𝑦 = 62
⇒ 𝑦 = √6
⇒𝑥=𝑦
391. Ans
I. 36x2 + 55x + 21 = 0
36x2 + 28x + 27x + 21 = 0
4x (9x + 7) + 3 (9x + 7) = 0
(9x + 7) (4x + 3) = 0
x = – 7/9, – 3/4
II. 132y2 – 17y – 30 = 0
132y2 – 72y + 55y – 30 = 0
12y (11y – 6) + 5 (11y – 6) = 0
(11y – 6) (12y + 5) = 0
y = 6/11, – 5/12
x<y
392. Ans
I. 𝑥 2 + 𝑥 − 12 = 0
⇒ 𝑥 2 + 4𝑥 − 3𝑥 − 12 = 0
⇒ (𝑥 + 4)(𝑥 − 3) = 0
⇒ 𝑥 = 3, −4
II. 𝑦 2 − 5𝑦 + 6 = 0
⇒ 𝑦 2 − 3𝑦 − 2𝑦 + 6 = 0
⇒ (𝑦 − 3)(𝑦 − 2) = 0
⇒ (𝑦 − 3)(𝑦 − 2) = 0
⇒ 𝑦 = 2, 3
⇒ No relation between 𝑥 and 𝑦
393. Ans
From I,
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
434
@Crossword2022
x2 – 22x + 121 = 0
x2 – 11x – 11x + 121 = 0
x(x – 11) -11(x – 11) = 0
(x – 11)(x – 11) = 0
x = 11, 11
From II,
y2 – 14y + 49 = 0
y2 – 7y – 7y + 49 = 0
y(y – 7) – y(y – 7) = 0
(y – 7)(y – 7) = 0
y = 7, 7
394. Ans
I. √𝑥 + 6 = √121 − √36
⇒ √𝑥 + 6 = 11 − 6
⇒ 𝑥 + 6 = 25 ⇒ 𝑥 = 19
II. 𝑦 2 + 112 = 473
⇒ 𝑦 2 = 361
⇒ 𝑦 = 19, −19
⇒𝑥≥𝑦
395. Ans
1
15
9
I.
−
= (𝑥)2 ⇒ 𝑥 = 6
√𝑥 √𝑥
II. 𝑦 10 − (36)5 = 0
⇒ (𝑦 5 )2 = (65 )2
⇒ 𝑦 = 6, – 6 ⇒ 𝑥 ≥ 𝑦
396. Ans
I. 5𝑥 + 2𝑦 = 96
II. 7𝑥 + 5𝑦 = 163
From I and II
𝑥 = 14 and 𝑦 = 13
⇒𝑥>𝑦
397. Ans
From I,
x3 = 103 – 488
x3 = 1000 – 488 = 512
x=8
From II,
y3 = 192 - 334
y3 = 361 – 334 = 27
y= 3
So, x > y
398. Ans
I. 17𝑥 = 169 + 14 + 25 + 4𝑥
208
⇒𝑥=
⇒ 𝑥 = 16
⇒𝑦=
85
5
⇒ 𝑦 = 17 ⇒ 𝑥 < 𝑦
399. Ans
I. 3𝑥 2 − 13𝑥 + 14 = 0
⇒ 3𝑥 2 − 6𝑥 − 7𝑥 + 14 = 0
⇒ (𝑥 − 2)(3𝑥 − 7) = 0
7
⇒ 𝑥 = 2,
3
II. 𝑦 2 − 7𝑦 + 12 = 0
⇒ (𝑦 − 4)(𝑦 − 3) = 0
⇒ 𝑦 = 4, 3 ⇒ x<y
400. Ans
I. 4𝑥 2 + 20𝑥 + 21 = 0
⇒ 4𝑥 2 + 6𝑥 + 14𝑥 + 21 = 0
⇒ (2𝑥 + 3)(2𝑥 + 7) = 0
−3 −7
⇒𝑥=
,
2 2
2
II. 2𝑦 + 17𝑦 + 35 = 0
⇒ 2𝑦 2 + 10𝑦 + 7𝑦 + 35 = 0
⇒ (𝑦 + 5)(2𝑦 + 7) = 0
−7
⇒ 𝑦 = −5, ⇒ 𝑥 ≥ 𝑦
2
401. Ans
I. 𝑥 2 − 14𝑥 + 48 = 0
⇒ (𝑥 − 6)(𝑥 − 8) = 0
⇒ 𝑥 = 6, 8
II. 𝑦 2 − 5𝑦 + 6 = 0
⇒ (𝑦 − 2)(𝑦 − 3) = 0
⇒ 𝑦 = 2, 3
⇒𝑥>𝑦
402. Ans
I. 38𝑥 2 − 3𝑥 − 11 = 0
⇒ 38𝑥 2 − 22𝑥 + 19𝑥 − 11 = 0
⇒ (19𝑥 − 11)(2𝑥 + 1) = 0
11 1
⇒𝑥=
,−
19 2
2
II. 28𝑦 + 32𝑦 + 9 = 0
⇒ 28𝑦 2 + 14𝑦 + 18𝑦 + 9 = 0
⇒ (2𝑦 + 1)(14𝑦 + 9) = 0
−9 −1
⇒𝑦=
,
14 2
⇒𝑥 ≥𝑦
403. Ans
I. 9𝑥 2 − 27𝑥 + 8 = 0
⇒ 9𝑥 2 − 3𝑥 − 24𝑥 + 8 = 0
⇒ (3𝑥 − 1)(3𝑥 − 8) = 0
1 8
⇒𝑥= ,
3 3
II. 4𝑦 2 − 13𝑦 + 3 = 0
13
II. 9𝑦 − 4𝑦
= 345 − 260
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
435
@Crossword2022
⇒ 4𝑦 2 − 12𝑦 − 𝑦 + 3 = 0
⇒ (𝑦 − 3)(4𝑦 − 1) = 0
1
⇒ 𝑦 = ,3
4
⇒ No relation between 𝑥 and 𝑦
404. Ans
I. 𝑥 2 − 28𝑥 + 196 = 0
⇒ (𝑥 − 14)(𝑥 − 14) = 0
⇒ 𝑥 = 14, 14,
II. 𝑦 2 = 196 ⇒ 𝑦 = 14, −14
⇒𝑥≥𝑦
405. Ans
I. 3𝑥 2 + 13𝑥 + 12 = 0
⇒ 3𝑥 2 + 9𝑥 + 4𝑥 + 12 = 0
⇒ (𝑥 + 3)(3𝑥 + 4) = 0
4
⇒ 𝑥 = −3, −
3
II. 2𝑦 2 + 15𝑦 + 27 = 0
⇒ 2𝑦 2 + 6𝑦 + 9𝑦 + 27 = 0
⇒ (𝑦 + 3)(2𝑦 + 9) = 0
−9
⇒ 𝑦 = −3,
2
⇒𝑥≥𝑦
406. Ans
I. 𝑥 2 − 22𝑥 + 121 = 0
⇒ (𝑥 − 11)(𝑥 − 11) = 0
⇒ 𝑥 = 11, 11
II. 𝑦 2 = 121 ⇒ 11, −11
⇒𝑥≥𝑦
407. Ans
I. 4𝑥 2 + 17𝑥 + 15 = 0
⇒ 4𝑥 2 + 12𝑥 + 5𝑥 + 15 = 0
⇒ (𝑥 + 3)(4𝑥 + 5) = 0
5
⇒ 𝑥 = −3, −
4
II. 3𝑦 2 + 19𝑦 + 28 = 0
⇒ 3𝑦 2 + 12𝑦 + 7𝑦 + 28 = 0
⇒ (𝑦 + 4)(3𝑦 + 7) = 0
7
⇒ 𝑦 = −4, −
3
⇒ No relation between 𝑥 and 𝑦.
408. Ans
I. 3𝑥 2 − 17𝑥 + 22 = 0
⇒ 3𝑥 2 − 6𝑥 − 11𝑥 + 22 = 0
⇒ (𝑥 − 2)(3𝑥 − 11) = 0
11
⇒ 𝑥 = 2,
3
II. 5𝑦 2 − 21𝑦 + 22 = 0
⇒ 5𝑦 2 = 10𝑦 − 11𝑦 + 22 = 0
⇒ (𝑦 − 2)(5𝑦 − 11) = 0
11
⇒ 𝑦 = 2,
5
⇒ No relation between 𝑥 and 𝑦
409. Ans
I. 3𝑥 2 + 11𝑥 + 10 = 0
⇒ 3𝑥 2 + 6𝑥 + 5𝑥 + 10 = 0
⇒ (𝑥 + 2)(3𝑥 + 5) = 0
5
⇒ 𝑥 = −2, −
3
II. 2𝑦 2 − 13𝑦 + 21 = 0
⇒ 2𝑦 2 − 6𝑦 − 7𝑦 + 21 = 0
⇒ (𝑦 − 3)(2𝑦 − 7) = 0
7
⇒ 𝑦 = 3, ⇒ 𝑥 < 𝑦
2
410. Ans
From I, 6x2 - 25x + 25 = 0
6x2 - 15x -10x + 25 = 0
3x (2x- 5) – 5(2x – 5) =0
x = 5/3 or 5/2
From II, 30y 2 - 32y + 8 = 0
15y2 - 16y + 4 = 0
15y2 - 10y - 6y + 4 = 0
5y(3y – 2) – 2 ( 3y – 2) = 0
(5y – 2)(3y -2)=0
y= 2/5 or 2/3
So, x >y.
411. Ans
Solution
From I, 4x2- 20x +21 = 0
4x2 - 14x - 6x + 21 = 0
2x( 2x -7) -3( 2x -7) = 0
(2x – 7)(2x -3)=0
x = 7/2 or 3/2
From II,
4y2 -10y -6 = 0
2y2 -5y - 3 = 0
2y2 – 6y + y -3 = 0
2y( y – 3) +1(y- 3) = 0
(y – 3)(2y +1)=0
y =3, -1/2
Therefore, no relationship can be
established between x and y.
412. Ans
Solution
From I, x2 - 6x + 8 = 0
x2 – 4x - 2x + 8 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
436
@Crossword2022
x (x – 4) - 2(x – 4) = 0
(x – 2)(x - 4) = 0
x = 2, 4
From II, y2 - 12y + 35 = 0
y2 - 5y - 7y + 35 = 0
y(y - 5) - 7(y - 5) = 0
(y - 5)(y - 7) = 0
y = 5, 7
Therefore, x < y
413. Ans
From I:
x2 + 6x + 8 = 0
=>x2 + 2x + 4x + 8 = 0
=>x(x + 2) + 4(x + 2) = 0
=>(x + 4)(x + 2) = 0
=>x = -4, -2
From II:
y2 + 10y + 24 = 0
=>y2 + 4y + 6y + 24 = 0
=>y(y + 4) + 6(y + 4) = 0
=>(y + 4)(y + 6) = 0
=>y = -4, -6
Therefore, x ≥ y
414. Ans
From I, x 2 - 16x + 55 = 0
x2 – 5x - 11x + 55 = 0
x(x – 5) - 11(x – 5) = 0
(x – 5)(x - 11) = 0
x = 5, 11
From II, y 2 -14y+ 48 = 0
y2 - 6y - 8y + 48 = 0
y (y - 6) – 8 (y - 6) = 0
(y - 6)(y - 8) = 0
y = 6, 8
415. Ans
From I:
x + 20/x = 9
x - 9 + 20/x = 0
x2 - 9x + 20 = 0
x2 - 5x - 4x + 20 = 0
(x - 4)(x - 5) = 0
x = 4, 5
From II:
y2 - 13y + 42 = 0
y2 - 7y - 6y + 42 = 0
(y - 6)(y - 7) = 0
y = 6, 7
So, x < y
416. Ans
I.√625𝑥 2 – 375 = 0
⇒625𝑥 2 = 3752
⇒ x = ±15
II.√2116𝑦– 736 = 0
⇒ 46y = 736
⇒ y = 16
y>x
417. Ans
From I:
8x2 + 7x + 12 = 6x2 + 24x + 21
Or, 2x2 – 17x – 9 = 0
Or, 2x2 – 18x + x – 9 = 0
Or, 2x(x – 9) + 1(x – 9) = 0
Or, (x – 9)(2x + 1) = 0
Or, x = 9 or x = -1/2
From II:
y3 – 24 × 12 = 212
Or, y3 = 441 + 288 = 729
Or, y = 9
So, y ≥ x
418. Ans
From I:
4x2 – 9 = 2x2 + 7x
Or, 2x2 – 7x – 9 = 0
Or, 2x2 + 2x – 9x – 9 = 0
Or, 2x(x + 1) – 9(x + 1) = 0
Or, (2x – 9)(x + 1) = 0
Or, x = 9/2 or x = -1
From II:
5y3 + 182 = 2039
Or, 5y3 + 324 = 2039
Or, 5y3 = 1715
Or, y3 = 343
Or, y = 7
So, y > x
419. Ans
From I:
4x2 + 5x – 3 = 8x2 – 6x + 4
Or, 4x2 – 11x + 7 = 0
Or, 4x2 – 4x – 7x + 7 =0
Or, 4x(x – 1) – 7(x – 1) = 0
Or, (4x – 7)(x – 1) = 0
Or, x = 7/4 or x = 1
From II:
256y3 = 1372
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
437
@Crossword2022
Or, y3 = 343/64
Or, y = 7/4
So, y ≥ x
420. Ans
From I, x 2 - 16x + 64 = 0
x2 – 8x - 8x + 64 = 0
x(x – 8) –8 (x – 8) = 0
(x – 8)(x - 8) = 0
x = 8, 8
From II, y 2 -26y +168 = 0
y2 - 12y - 14y +168 = 0
y(y - 12) - 14 (y - 12) = 0
(y - 12)(y - 14) = 0
y = 12, 14
So, x < y
421. Ans
From I:
(x2 + 32)/24 = x – 4
Or, x2 – 24x + 128 = 0
Or, x2 – 8x – 16x + 128 = 0
Or, x(x – 8) – 16(x – 8) = 0
Or, (x – 16)(x – 8) = 0
Or, x = 16 or x = 8
From II:
y2 – 24y + 144 = 0
Or, y2 – 12y – 12y + 144 = 0
Or, y(y – 12) – 12(y – 12) = 0
Or, (y – 12)(y – 12) = 0
Or, y = 12 or y = 12
So, no relation can be established between ‘x’
and ‘y’.
422. Ans
From I:
5x2 – 27x + 10 = 0
5x2 – 25x – 2x + 10 = 0
5x(x – 5) – 2(x – 5) = 0
(x – 5)(5x – 2) = 0
x = 2/5 or 5
From II:
25y2 – 15y + 2 = 0
25y2 – 10y – 5y + 2 = 0
5y(5y – 2) – (5y – 2) = 0
(5y – 1)(5y – 2) = 0
y = 1/5 or 2/5
Therefore, x ≥ y
423. Ans
(I) x2 - 16x + 63 = 0
=> x2 - 7x - 9x + 63 = 0
=>(x - 7)(x - 9) = 0
=> x = 7 or 9
(II) y 2 + 9y - 112 = 0
=> y2 - 7y + 16y - 112 = 0
=> (y - 7)(y + 16) = 0
=> y = 7 or -16
When x = 7 and y = 7, so x = y
When x = 7 and y = -16, so x > y
When x = 9 and y = 7, so x > y
When x = 9 and y = -16, so x > y
Hence, x ≥ y
424. Ans
I. 3x + 7y = 30
II.4x + 6y = 30
⇒ 3x + 7y = 4x + 6y
⇒y=x
425. Ans
From equation I:
x2 -20x +84 = (x -6)(x -14)= 0
=> x = 6, 14
From equation II:
y2 +y -30 = (y + 6)(y -5) = 0
=> y = -6, 5
So, x > y
426. Ans
From equation I:
x2 -5x -36 = (x -9)(x + 4)= 0
=> x = 9, -4
From equation II:
y2 -16y +39 = (y -13)(y -3) = 0
=> y = 13, 3
So, relationship cannot be established
between x and y
427. Ans
From I:
x2 - x - 42 = 0
x2- 7x + 6x - 42 = 0
x(x - 7) + 6(x - 7) = 0
(x - 7) (x + 6) = 0
x = 7, -6
From II:
y2 + 4y - 32 = 0
y2 + 8y - 4y - 32 = 0
y(y + 8) -4(y + 8) = 0
(y + 8) (y – 4) = 0
y = -8, 4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
438
@Crossword2022
So, no relation can be established between x
and y.
428. Ans
II. y2-3y - 88 = 0
Solution
From I:
x2 - 22x + 120 = 0
x2-12x – 10x +120 = 0
x(x - 12) - 10(x -12) = 0
(x - 12) (x - 10) = 0
x = 12, 10
From II:
y2 - 3y - 88 = 0
y2-11y + 8y - 88 = 0
y(y - 11) +8 (y – 11) = 0
(y – 11) (y + 8) = 0
y = 11, -8
So, no relation can be established between x
and y.
429. Ans
x2 + 4 = 2x2 + 4x – 1
x2 + 4x – 5 = 0
(x-1) (x+5) =0
x = 1, -5
II. y =
2x if x = 1
y = -5 2
y=
3
I. 5x =
x=
16
√4096
5
5
x = 3.2
3
II. 6𝑦 = √9 × √729
3×9
y=
6
y = 4.5
x<y
430 Ans
I. x3 + 8x2 = x(x + 4) + 12
x3 + 8x2 = x3 + 4x + 12
8x2 - 4x - 12 = 0
2x2- x-3 = 0
(x + 1)(2x - 3) = 0
x = -1,3/2
II. y  y  5 y  4
y2  y2  5 y  4
5y+4=0
Y=-4/5
Cleary, no relation can be established between x
and y.
431 Ans
2
I.
2x
x 4  8x 2  16  2x 2  4x  1
x 4  8x   16  2x 2  4x  1
if x = -5
432. Ans
From I:
x=3
x=9
From II:
(y – 1) = 8/(y – 8)
(y – 1)(y – 8) = 8
y2 – y – 8y + 8 = 8
y2 – 9y = 0
y(y – 9) = 0
y = 0, 9
So, x ≥ y
433 Ans a)
From I:
x=7
x = 49
From II:
(y – 1) = 5/(y – 5)
(y – 1)(y – 5) = 5
y2 – y – 5y + 5 = 5
y2 – 6y = 0
y(y – 6) = 0
y = 0, 6
So, x > y
434. Ans c)
From I:
(x + 4)2 = 17x – 4
x2 + 8x + 16 = 17x – 4
x2 – 9x + 20 = 0
x2 – 4x – 5x + 20 = 0
x(x – 4) – 5(x – 4) = 0
(x – 4)(x – 5) = 0
x = 4, 5
From II:
(y – 5)2 = 5 – y
y2 – 10y + 25 = 5 – y
y2 – 9y + 20 = 0
y2 – 4y – 5y + 20 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
439
@Crossword2022
y(y – 4) – 5(y – 4) = 0
(y – 4)(y – 5) = 0
y = 4, 5
So, the relationship cannot be established.
435. Ans
(x + 5)2 = x + 5
(x + 5)2 – (x + 5) = 0
(x + 5)(x + 5 – 1) = 0
(x + 4)(x + 5) = 0
x = -4, -5
From II:
y2 – 5y = 36
y2 – 5y – 36 = 0
y2 + 4y – 9y – 36 = 0
y(y + 4) – 9(y + 4) = 0
(y + 4)(y – 9) = 0
y = -4, 9
So, x ≤ y
436. Ans
From I:
(x + 7)2 = x + 7
x2 + 13x + 42 = 0
x2 + 7x + 6x + 42 = 0
x(x + 7) + 6(x + 7) = 0
(x + 7)(x + 6) = 0
x = -7, -6
Short cut:
(x + 7)2 = x + 7
(x + 7)2 – (x + 7) = 0
(x + 7)(x + 7 – 1) = 0
(x + 7)(x + 6) = 2
x = -7, -6
From II:
y2 + 3y = 10
y2 + 3y – 10 = 0
y2 + 5y – 2y – 10 = 0
y(y + 5) – 2(y + 5) = 0
(y + 5)(y – 2) = 0
y = -5, 2
So, x < y
437. Ans
From I:
(x + 4)2 = 17x – 4
x2 + 8x + 16 = 17x – 4
x2 – 9x + 20 = 0
x2 – 4x – 5x + 20 = 0
x(x – 4) – 5(x – 4) = 0
(x – 5)(x – 4) = 0
x = 5, 4
From II:
(y – 5)2 = 5 - y
y2 – 10y + 25 = 5 - y
y2 – 9y + 20 = 0
y2 – 5y – 4y + 20 = 0
y(y – 5) – 4(y – 5) = 0
(y – 5)(y – 4) = 0
y = 5, 4
So, the relationship cannot be established.
438. Ans
From I:
3x2 = 2x2 + 13x – 40
x2 – 13x + 40 = 0
x2 – 5x – 8x + 40 = 0
x(x – 5) – 8(x – 5) = 0
(x – 5)(x – 8) = 0
x = 5, 8
From II:
3y2 = 108
y2 = 36
y = -6, 6
So, the relationship between x and y cannot be
established
439. Ans
From II:
24y + 28 = 148
24y = 120
y=5
From I:
15x + 8y = 130
15x + 40 = 130
15x = 90
x=6
So, x > y
440. Ans
From II:
16y + 16 = 64
16y = 48
y=3
From I:
8x + 7y = 61
8x + 21 = 61
8x = 40
x=5
So, x > y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
440
@Crossword2022
441. Ans
From II:
32y = 160
y=5
From I:
3x + 2y = 25
3x + 10 = 25
3x = 15
x=5
So, x = y
442. Ans
From I:
x2 – 16x + 60 = 0
x2 – 10x – 6x + 60 = 0
x(x – 10) – 6(x – 10) = 0
(x – 10)(x – 6) = 0
x = 10, 6
From II:
y2 – 13y + 40 = 0
y2– 5y – 8y + 40 = 0
y(y – 5)– 8(y – 5) = 0
(y – 5)(y – 8) = 0
y = 5, 8
So, x > y
443. Ans
From I:
x2 = 144
x = -12, 12
From II:
y2 + 12y = 0
y(y + 12) = 0
y = 0, -12
So, the relationship cannot be established
444. Ans
From I:
x2 – 25 = 0
x2 = 25
x = 5, -5
From II:
y3 = 64
y=4
So, the relationship cannot be established
445. Ans
From I:
x2 – 36 = 0
x2 = 36
x = 6, -6
From II:
y3 = -216
y = -6
So, x ≥ y
446. Ans
From I:
x3 = 729
x=9
From II:
y2 – 8y = 0
y(y – 8) = 0
y = 0, 8
So, x > y
447. Ans
From I:
x2 = 144
x = -12, 12
From II:
y2 – 15y = 0
y(y – 15) = 0
y = 0, 15
So, the relationship between x and y cannot be
established.
448. Ans
From I:
x2 – 25 = 0
x2 = 25
x = 5, -5
From II:
y3 = 216
y=6
So, x < y
449. Ans
From I:
x2 = 324
x = -18, 18
From II:
y2 + 18y = 0
y(y + 18) = 0
y = 0, -18
So, the relationship cannot be established.
450. Ans
From I:
x2 – 25 = 0
x2 = 25
x = 5, -5
From II:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
441
@Crossword2022
y3 = -216
y = -6
So, x > y
451. Ans
From I:
x3 = -729
x = -9
From II:
y2 + 13y + 36 = 0
y2 + 9y + 4y + 36 = 0
y(y + 9) + 4(y + 9) = 0
(y + 9)(y + 4) = 0
y = -9, -4
So, x ≤ y
452. Ans
From I:
x3 = -512
x = -8
From II:
y2 + 20y + 96 = 0
y2 + 12y + 8y + 96 = 0
y(y + 12) + 8(y + 12) = 0
(y + 12)(y + 8) = 0
y = -12, -8
So, x ≥ y
453. Ans
From I:
x2 = 196
x = -14, 14
From II:
y2 + 14y = 0
y(y + 14) = 0
y = 0, -14
So, the relationship cannot be established.
454. Ans
From I:
x2 – 36 = 0
x2 = 36
x = 6, -6
From II:
y3 = 343
y=7
So, x < y
455. Ans
From I:
x2 + 12x + 32 = 0
x2 + 4x + 8x + 32 = 0
x(x + 4) + 8(x + 4) = 0
(x + 4)(x + 8) = 0
x = -4, -8
From II:
y2 – 11y – 60 = 0
y2– 15y + 4y – 60 = 0
y(y – 15)+ 4(y – 15) = 0
(y – 15)(y + 4) = 0
y = -4, 15
So, y ≥ x
456. Ans
From I:
x3 = -729
x = -9
From II:
y2 + 11y + 28 = 0
y2 + 7y + 4y + 28 = 0
y(y + 7) + 4(y + 7) = 0
(y + 7)(y + 4) = 0
y = -7, -4
So, x < y
457. Ans
From equation I:
x2 +25x +100 = (x + 5)(x + 20)= 0
=> x = -5, -20
From equation II:
y2 +21y +54 = (y + 3)(y + 18) = 0
=> y = -3, -18
So, relationship cannot be established between x
and y
458. Ans
From I:
4x2 – 19x – 30 = 0
4x2 – 24x + 5x – 30= 0
4x(x – 6) +5(x – 6) = 0
(4x + 5)(x – 6) = 0
x = -5/4, 6
From II:
3y2 + 31y + 56 = 0
3y2 + 24y + 7y + 56 = 0
3y(y + 8) + 7(y + 8) = 0
(y + 8)(3y + 7) = 0
y = -8, -7/3
So, x > y
459. Ans
From I:
2x – 3y = -6
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
442
@Crossword2022
So, x ≥ y
463. Ans
From I:
x2 + 5x + 6 = 0
x2 + 2x + 3x + 6 = 0
x(x + 2) + 3(x + 2) = 0
(x + 2)(x + 3) = 0
x = -2, -3
From II:
5y2 + 9y + 4 = 0
5y2 + 5y + 4y + 4 = 0
5y(y + 1) + 4(y + 1) = 0
(5y + 4)(y + 1) = 0
y = -4/5, -1
So, x < y
464. Ans
From I:
x2 + 9x + 20 = 0
x2 + 5x + 4x + 20 = 0
x(x + 5) + 4(x + 5) = 0
(x + 5)(x + 4) = 0
x = -5, -4
From II:
y2 + 13y + 42 = 0
y2 + 6y + 7y + 42 = 0
y(y + 6) + 7(y + 6) = 0
(y + 6)(y + 7) = 0
y = -6, -7
So, x > y
465 . Ans
From I:
x2 + 21x = -108
x2 + 21x + 108 = 0
x2 + 9x + 12x + 108 = 0
x(x + 9) + 12(x + 9) = 0
(x + 9)(x + 12) = 0
x = -9, -12
From II:
y2 + 16y + 63 = 0
y2 + 7y + 9y + 63 = 0
y(y + 7) + 9(y + 7) = 0
(y + 7)(y + 9) = 0
y = -7, -9
So, x ≤ y
466. Ans
From I:
x2 – 3x = 18
2x = 3y – 6
x = (3y – 6)/2 ….1
From II:
3x – 2y = 31
3(3y – 6)/2 – 2y = 31 (From equation 1)
9y/2 – 9 – 2y = 31
5y/2 = 40
y = 16
x = (3 × 16 – 6)/2
x = 21
So, x >y.
460. Ans
From I:
x2 + 10x + 24 = 0
x2 + 6x + 4x + 24 = 0
x(x + 6) + 4(x + 6) = 0
(x + 6)(x + 4) = 0
x = -6, -4
From II:
y2 + 15y + 54 = 0
y2 + 6y + 9y + 54 = 0
y(y + 6) + 9(y + 6) = 0
(y + 6)(y + 9) = 0
y = -6, -9
So, x ≥ y
461. Ans
From I:
x2 – 14x = 15
x2 – 14x – 15 = 0
x2 + x – 15x – 15 = 0
x(x + 1) – 15(x + 1) = 0
(x + 1)(x – 15) = 0
x = -1, 15
From II:
y2 + 14y + 13 = 0
y2 + 13y + y + 13 = 0
y(y + 13) + 1(y + 13) = 0
(y + 13)(y + 1) = 0
y = –13, -1
So, x ≥ y
462. Ans
From equation I:
x2 -19x -66 = (x + 3)(x -22)= 0
=> x = -3, 22
From equation II:
y2 +20y +51 = (y + 3)(y + 17) = 0
=> y = -3, -17
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
443
@Crossword2022
x2 – 3x – 18 = 0
x2 + 3x – 6x – 18 = 0
x(x + 3) – 6(x + 3) = 0
(x + 3)(x – 6) = 0
x = -3, 6
From II:
y2 + 9y + 18 = 0
y2 + 3y + 6y + 18 = 0
y(y + 3) + 6(y + 3) = 0
(y + 3)(y + 6) = 0
y = –3, -6
So, x ≥ y
467. Ans
From I:
x2 – 6x – 16 = 0
x2 – 8x + 2x – 16 = 0
x(x – 8) + 2(x – 8) = 0
(x – 8)(x + 2) = 0
x = 8, -2
From II:
y2 – 17y + 72 = 0
y2 – 8y – 9y + 72 = 0
y(y – 8) – 9(y – 8) = 0
(y – 8)(y – 9) = 0
y = 8, 9
So, x ≤ y
468. Ans
From I:
x2 – x – 20 = 0
x2 – 5x + 4x – 20 = 0
x(x – 5) + 4(x – 5) = 0
(x – 5)(x + 4) = 0
x = 5, -4
From II:
y2 – 12y + 35 = 0
y2 – 5y – 7y + 35 = 0
y(y – 5) – 7(y – 5) = 0
(y – 5)(y – 7) = 0
y = 5, 7
So, x ≤ y
469. Ans
From I:
x2 + 32x + 252 = 0
x2 + 14x + 18x + 252 = 0
x(x + 14) + 18(x + 14) = 0
(x + 14)(x + 18) = 0
x = -14, -18
From II:
y2 + 38y + 360 = 0
y2 + 18y + 20y + 360 = 0
y(y + 18) + 20(y + 18) = 0
(y + 18)(y + 20) = 0
y = -18, -20
So, x ≥ y.
470. Ans
From I:
4x2 – 39x + 56 = 0
4x2 – 32x – 7x + 56 = 0
4x(x – 8) – 7(x – 8) = 0
(x – 8)(4x – 7) = 0
x = 8, 7/4
From II:
y2– 22y + 96 = 0
y2 – 6y – 16y + 96 = 0
y(y – 6) – 16(y – 6) = 0
(y – 6)(y – 16) = 0
y = 6, 16
So, no relation can be established between x
and y.
471. Ans
From I:
6x + 5y = 137
5y = (137 – 6x)
From II:
18x – 10y = 86
9x – 5y = 43
Putting value of 5y from (I),
9x – (137 – 6x) = 43
9x – 137 + 6x = 43
15x = 180
x = 12
y = (137 – 6 × 12)/5 = 65/5 = 13
So, y > x.
472. Ans
From I:
x2 + 17x + 60 = 0
x2 + 5x + 12x + 60 = 0
x(x + 5) + 12(x + 5) = 0
(x + 5)(x + 12) = 0
x = -5, -12
From II:
y2 – 8y – 65 = 0
y2 – 13y + 5y – 65 = 0
y(y – 13) + 5(y – 13)(= 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
444
@Crossword2022
(2y + 3)(3y + 2) = 0
3
2
y=− , −
(y – 13)(y + 5) = 0
y = 13, -5
Therefore, x ≤ y
473. Ans
From I:
x2 – 20x + 99 = 0
x2 – 9x – 11x + 99 = 0
x(x – 9) – 11(x – 9) = 0
(x – 9)(x – 11) = 0
x = 9, 11
From II:
y2 – 2y – 63 = 0
y2 – 9y + 7y – 63 = 0
y(y – 9) + 7(y – 9)= 0
(y – 9)(y + 7) = 0
y = -7, 9
Therefore, x ≥ y
474. Ans
I. x 2 − 14𝑥 + 48 = 0
x 2 − 6𝑥 − 8𝑥 + 48 = 0
x(x − 6) − 8(𝑥 − 6) = 0
(x − 6)(x − 8) = 0
x = 6, 8
II. y 2 − 17𝑦 + 72 = 0
y 2 − 9𝑦 − 8𝑦 + 72 = 0
y(y − 9) − 8(y − 9) = 0
(y − 9)(y − 8)
y = 9,8
x≤y
2
3
x<y
477. Ans
I. 4x 2 + 12𝑥 + 6𝑥 + 18 = 0
4x(x + 3) + 6 (𝑥 + 3) = 0
(x + 3)(4x + 6) = 0
3
x = −3, −
2
II. y 2 + 16𝑦 + 12𝑦 + 192 = 0
y(y + 16) + 12(𝑦 + 16) = 0
(y + 16)(y + 12) = 0
y = −16, − 12
x>y
478. Ans
I. x 2 − 9𝑥 + 20 = 0
x 2 − 5𝑥 − 4𝑥 + 20 = 0
x(x − 5) − 4(x − 5) = 0
(x − 4)(x − 5) = 0
x = 4, 5
II. 2y 2 − 12𝑦 + 18 = 0
2y 2 − 6𝑦 − 6𝑦 + 18 = 0
2y(y − 3) − 6(y − 3) = 0
(2y − 6)(y − 3) = 0
y = 3, 3
x>y
479. Ans
From I:
x2 + 3x – 180 = 0
x2– 12x + 15x – 180 = 0
x(x – 12) + 15(x – 12) = 0
(x + 15) (x – 12) = 0
x = 12, - 15
From II:
y2 – 27y + 182 = 0
y2 – 13y – 14y + 182 = 0
y(y – 13) – 14(y – 13) = 0
(y – 13) (y – 14) = 0
y = 13, 14
So, x < y.
480. Ans
From I:
x2– 27x + 162 = 0
x2– 9x – 18x + 162 = 0
x(x – 9) – 18(x – 9) = 0
(x – 9) (x – 18) = 0
x = 9, 18
From II:
475. Ans
I. x 2 + 7𝑥 + 6𝑥 + 42 = 0
x(x + 7) + 6(𝑥 + 7) = 0
(x + 6)(x + 7) = 0
x = −6, − 7
II. y 2 + 8𝑦 + 7𝑦 + 56 = 0
y(y + 8) + 7(𝑦 + 8) = 0
(y + 8)(y + 7) = 0
y = −8, − 7
x≥y
476. Ans
I. 2x 2 + 12𝑥 + 4𝑥 + 24 = 0
2x(x + 6) + 4(𝑥 + 6) = 0
(2x + 4)(𝑥 + 6) = 0
x = −2, − 6
II. 6y 2 + 9𝑦 + 4𝑦 + 6 = 0
3y(2y + 3) + 2(2𝑦 + 3) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
445
@Crossword2022
y2 + 23y + 112 = 0
y2+ 16y + 7y + 112 = 0
y(y + 16) + 7(y + 16) = 0
(y + 16) (y + 7) = 0
y = -16, -7
So, x > y.
481. Ans
From I:
x2– 13x – 114 = 0
x2–19x + 6x – 114 = 0
x(x – 19) + 6(x – 19) = 0
(x + 6) (x – 19) = 0
x = 19, - 6
From II:
y2 + 4y – 96 = 0
y2 – 8y + 12y – 96 = 0
y(y – 8) + 12(y – 8) = 0
(y – 8) (y + 12) = 0
y = -12, 8
So, no relation can be established between x
and y.
482. Ans
From I:
3x + 4y = 54
3x = 54 – 4y
x = (54 – 4y)/3
From II:
4x + y = 33
Put the value of x in the equation,
4(54 – 4y)/3 + y = 33
(216 – 16y)/3 + y = 33
216 – 16y + 3y = 99
13y = 117
y=9
x = (54 – 36)/3
x=6
So, x < y.
483. Ans
From I:
x2 – 245 = 380
x2 = 380 + 245
x2 = 625
x = ± 25
From II:
y3 = 15625
y = 25
So, x ≤ y.
484. Ans
From I:
x2 + 21x + 108 = 0
x2 + 9x + 12x + 108 = 0
x(x + 9) + 12(x + 9) = 0
(x + 9)(x + 12) = 0
x = -9, -12
From II:
y2 + 25y + 156 = 0
y2 + 12y + 13y + 156 = 0
y(y + 12) + 13(y + 12) = 0
(y + 12)(y + 13) = 0
y = -12, -13
So, x ≥ y
485. Ans
From I:
x2 – 2.5x + 1 = 0
x2 – 0.5x – 2x + 1 = 0
x(x – 0.5) – 2(x – 0.5) = 0
(x – 0.5)(x – 2) = 0
x = 0.5, 2
From II:
y2 – y + 0.24 = 0
y2 – 0.4y – 0.6y + 0.24 = 0
y(y – 0.4) – 0.6(y – 0.4) = 0
(y – 0.4)(y – 0.6) = 0
y = 0.4, 0.6
So, relationship between x and y cannot be
established.
486. Ans
486. I. x2 + 13x + 42 = 0
x2 + 7x+6x+42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) = 0
x = -6, -7
II. y2 + 16y + 63 = 0
y2 + 9y+7y + 63 = 0
y(y+9)+7(y+9) = 0
y = -7,-9
So, x > y
487. Ans
I. 2x2 - 21x + 34 = 0
2 X 2 - 17 X - 4 X + 34 = 0
x(2x-17) -2(2x-17) = 0
x = 2,8.5
I I . r - 2 6 y + 144 = 0
y 2 - 18y-8y+ 144 = 0
y(y-18)-8(y-18) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
446
@Crossword2022
y = 8,18
So, no relations can be established between x
& y.
488. Ans
I.
4x2-21x + 27 = 0
2
= 4X -12X-9X + 27 = 0
= 4x (x - 3) - 9 (x - 3) = 0
= (x - 3) (4x - 9) = 0
x = 3,
491. Ans
I. 8x + 12y = 84 ...(i)
II. 3x + 20y = 109 ...(ii)
On solving (i) and (ii):
y = 5,x = 3
So,x< y
492. Ans
L 24x2 – 55x + 25 = 0
24x2- 15x – 40 x + 25 = 0
3x(8x - 5) - 5(8x - 5) = 0
(8x - 5)(3x - 5) = 0
9
4
I. 3y2 - 19y + 28 = 0
= 3y2 - 12y - 7y + 28 = 0
= 3y[y-4)-7(y-4) = 0
= (y - 4) (3y - 7) = 0
x=
12y2 - 21y-20y + 35 = 0
3y(4y-7)-5(4y-7)= 0
(3y - S)(4y - 7) = 0
7
= y =4,
3
No relation
489. Ans
I. x2 + 16x = 26x- 21
x2 ~ 10 x +21 = 0
x2 - 3x - 7x + 21 = 0
x(x - 3) - 7(x - 3) = 0
(x-7)(x-3) = 0 x = 7,3
I. y2 -1 ly + 24 = 0
y2-8y- 3y + 24 = 0
y(y - 8) - 3(y - 8) = 0
(y-3)(y-8) = 0
y = 3,8
So, no relation.
490. Ans
I.
5 5
,
8 3
y=
5 7
,
3 4
So, x < y.
493. Ans
I. x2 + 76x = 140x
x 2 - 64.v = 0
x(x - 64) = 0
x = 0,64
II. y3 = 1728
y = 12
So, no relation
494. Ans
From I:
x2 + 2x – 63 = 0
x2 + 9x - 7x – 63 = 0
x(x + 9) - 7 (x + 9) = 0
(x + 9) (x - 7) = 0
x = -9, 7
From II:
y2 - 12y + 35 = 0
y2 - 7y - 5y + 35 = 0
y(y - 7) – 5(y - 7) = 0
(y - 7) (y - 5) = 0
y = 7, 5
So, no relation can be established between x
and y.
495. Ans
From I:
24x2 + 7x – 6 = 0
375
= 1 6x + 8
25x
15 = 16 x 2 + 8x
16 x 2 + 8 x- 15 = 0
16x2 + 2 0x- l 2x - 15 = 0
4x ( 4x + 5) - 3(4x + 5) = 0
(4x + 5)(4x - 3) = 0
x-5/4, 3/4
II. 9 y = 8y2 + 1
8y2- 9y + 1 = 0
8y2-8y - y + 1=0
8y(y - 1) - l(y - 1) = 0
(y - l)(8y – 1) = 0
y = 1 , 1/8
So, no relation
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
447
@Crossword2022
24x2 + 16x - 9x – 6 = 0
8x(3x + 2) - 3 (3x + 2) = 0
(8x - 3) (3x + 2) = 0
x = 3/8, -2/3
From II:
5y2 - 34y + 24 = 0
5y2 - 30y - 4y + 24 = 0
5y(y - 6) – 4(y - 6) = 0
(y - 6) (5y - 4) = 0
y = 6, 4/5
So, x < y.
496. Ans
From I:
x = 441
x = 21
From II:
y2 - 20y - 69 = 0
y2 - 23y + 3y - 69 = 0
y(y - 23) +3(y - 23) = 0
(y - 23) (y + 3) = 0
y = 23, -3
So, no relation can be established between x
and y.
497. Ans
From I:
5x2 + 7x - 6 = 0
5x2 + 10x - 3x – 6 = 0
5x(x + 2) - 3 (x + 2) = 0
(5x - 3) (x + 2) = 0
x = 3/5, -2
From II:
7y2 - 32y - 15 = 0
7y2 - 35y + 3y - 15 = 0
7y(y - 5) +3 (y - 5) = 0
(y - 5) (7y + 3) = 0
y = 5, -3/7
So, no relation can be established between x
and y.
498. Ans
From I:
x2 + 16x + 48 = 0
x2 + 12x + 4x + 48 = 0
x(x + 12) + 4 (x + 12) = 0
(x + 4) (x + 12) = 0
x = -4, -12
From II:
y2+ 17y + 66 = 0
y2 + 11y + 6y + 66 = 0
y(y +11) + 6 (y + 11) = 0
(y + 11) (y + 6) = 0
y = -11, -6
So, no relation cant established between x and
y.
499. Ans
I. 2𝑥 2 − 4𝑥 − 3𝑥 + 6 = 0
2𝑥(𝑥 − 2) − 3(𝑥 − 2) = 0
(2𝑥 − 3)(𝑥 − 2) = 0
3
𝑥 = 2,
2
II. 3𝑦 2 − 6𝑦 + 2𝑦 − 4 = 0
3𝑦(𝑦 − 2) + 2(𝑦 − 2) = 0
(3𝑦 + 2)(𝑦 − 2) = 0
2
𝑦 = 2, −
3
500. Ans
I. x= ±18
II. y=19
Hence, x<y
501. Ans
I. 20𝑥 2 − 10𝑥 − 6𝑥 + 3 = 0
10𝑥(2𝑥 − 1) − 3(2𝑥 − 1) = 0
1 3
𝑥= ,
2 10
II. 10𝑦 2 − 5𝑦 − 12𝑦 + 6 = 0
5𝑦(2𝑦 − 1) − 6(2𝑦 − 1) = 0
(2𝑦 − 1)(5𝑦 − 6) = 0
1 6
𝑦= ,
Hence 𝑥 ≤ 𝑦
2 5
502. Ans
I. 𝑥 2 + 4𝑥 + 4𝑥 + 16 = 0
(𝑥 + 4)(𝑥 + 4) = 0
𝑥 = −4, − 4
II. 𝑦 2 + 6𝑦 + 5𝑦 + 30 = 0
𝑦(𝑦 + 6) + 5(𝑦 + 6) = 0
(𝑦 + 5)(𝑦 + 6) = 0
𝑦 = −5, − 6
Hence x > y
503. Ans
I. 𝑥 2 − 12𝑥 + 2𝑥 − 24 = 0
𝑥(𝑥 − 12) + 2(𝑥 − 12) = 0
𝑥 = −2, 12
II. 𝑦 2 − 4𝑦 − 𝑦 + 4 = 0
𝑦(𝑦 − 4) − 1(𝑦 − 4) = 0
(𝑦 − 4)(𝑦 − 1) = 0
𝑦 = 1,4
Hence no relation
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
448
@Crossword2022
504. Ans
I. 21𝑥 2 − 59𝑥 + 40 = 0
21𝑥 2 − 35𝑥 − 24𝑥 + 40 = 0
7𝑥(3𝑥 − 5) − 8(3𝑥 − 5) = 0
(3𝑥 − 5)(7𝑥 − 8) = 0
5 8
𝑥= ,
508. Ans
I. 𝑥 2 + 12𝑥 + 35 = 0
𝑥 2 + 5𝑥 + 7𝑥 + 35 = 0
𝑥(𝑥 + 5) + 7(𝑥 + 5) = 0
(𝑥 + 5)(𝑥 + 7) = 0
𝑥 = −5, − 7
II. 𝑦 2 + 7𝑦 + 10 = 0
𝑦 2 + 2𝑦 + 5𝑦 + 10 = 0
𝑦(𝑦 + 2) + 5(𝑦 + 2) = 0
(𝑦 + 2)(𝑦 + 5) = 0
𝑦 = −2, − 5
So, 𝑥 ≤ 𝑦
509. Ans
I. 𝑥 2 + 9𝑥 + 20 = 0
𝑥 2 + 5𝑥 + 4𝑥 + 20 = 0
𝑥(𝑥 + 5) + 4(𝑥 + 5) = 0
(𝑥 + 4)(𝑥 + 5) = 0
𝑥 = −4, − 5
II. 2𝑦 2 + 5𝑦 − 12 = 0
2𝑦 2 + 8𝑦 − 3𝑦 − 12 = 0
2𝑦(𝑦 + 4) − 3(𝑦 + 4) = 0
(2𝑦 − 3)(𝑦 + 4) = 0
3
𝑦= , −4
3 7
II. 9𝑦 2 − 36𝑦 + 55 = 0
9𝑦 2 − 21𝑦 − 15𝑦 + 35 = 0
3𝑦(3𝑦 − 7) − 5(3𝑦 − 7) = 0
(3𝑦 − 7)(3𝑦 − 5) = 0
7 5
𝑦= ,
3 3
So, 𝑦 ≥ 𝑥
505. Ans
I. 𝑥 2 − 15𝑥 + 56 = 0
𝑥 2 − 7𝑥 − 8𝑥 + 56 = 0
𝑥(𝑥 − 7) − 8(𝑥 − 7) = 0
(𝑥 − 7)(𝑥 − 8) = 0
𝑥 = 7, 8
II. 𝑦 2 − 8𝑦 + 15 = 0
𝑦 2 − 5𝑦 − 3𝑦 + 15 = 0
𝑦(𝑦 − 5) − 3(𝑦 − 5) = 0
(𝑦 − 5)(𝑦 − 3) = 0
𝑦 = 5,3
So 𝑥 > 𝑦
506. Ans
I. 𝑥 3 = 729
3
𝑥 = √729
𝑥=9
II. 𝑦 2 − 15𝑦 + 54 = 0
𝑦 2 − 6𝑦 − 9𝑦 + 54 = 0
𝑦(𝑦 − 6) − 9(𝑦 − 6) = 0
(𝑦 − 6)(𝑦 − 9) = 0
𝑦 = 9, 6
So 𝑥 ≥ 𝑦
507. Ans
I. 35𝑥 2 − 66𝑥 + 27 = 0
35𝑥 2 − 45𝑥 − 21𝑥 + 27 = 0
5𝑥(7𝑥 − 9) − 3(7𝑥 − 9) = 0
(7𝑥 − 9)(5𝑥 − 3) = 0
9 3
𝑥= ,
2
𝑦≥𝑥
510. Ans
I. 𝑥 2 + 12𝑥 + 32 = 0
𝑥 2 + 8𝑥 + 4𝑥 + 32 = 0
𝑥(𝑥 + 8) + 4(𝑥 + 8) = 0
(𝑥 + 4)(𝑥 + 8) = 0
𝑥 = −4, − 8
II. 𝑦 2 + 6𝑦 + 9 = 0
𝑦 2 + 3𝑦 + 3𝑦 + 9 = 0
𝑦(𝑦 + 3) + 3(𝑦 + 3) = 0
(𝑦 + 3)(𝑦 + 3) = 0
𝑦 = −3, − 3
𝑦>𝑥
511. Ans
I. 𝑥 2 − 𝑥 − 6 = 0
𝑥 2 − 3𝑥 + 2𝑥 − 6 = 0
𝑥(𝑥 − 3) + 2(𝑥 − 3) = 0
(𝑥 − 3)(𝑥 + 2) = 0
𝑥 = 3, − 2
II. 𝑦 2 − 6𝑦 + 8 = 0
𝑦 2 − 2𝑦 − 4𝑦 + 8 = 0
𝑦(𝑦 − 2) − 4(𝑦 − 2) = 0
(𝑦 − 2)(𝑦 − 4) = 0
7 5
II. 8𝑦 2 − 23𝑦 + 14 = 0
8𝑦 2 − 16𝑦 − 7𝑦 + 14 = 0
8𝑦(𝑦 − 2) − 7(𝑦 − 2) = 0
(𝑦 − 2)(8𝑦 − 7) = 0
7
𝑦 = 2,
8
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
449
@Crossword2022
𝑦 = 2,4
No, relation can be established between x and y
512. Ans
From I:
392x2 – 288 = 0
Or, 49x2 – 36 = 0
Or, x2 = 36/49
Or, x = 6/7 or x = -6/7
From II:
2y2 + 10y = 23y – 18
Or, 2y2 – 13y + 18 = 0
Or, 2y2 – 9y – 4y + 18 = 0
Or, y(2y – 9) – 2(2y – 9) = 0
Or, (y – 2)(2y – 9) = 0
Or, y = 2 or y = 9/2
So, y > x
513. Ans
I. 6𝑥 2 − 𝑥 − 1 = 0
6𝑥 2 − 3𝑥 + 2𝑥 − 1 = 0
⇒ (2𝑥 − 1)(3𝑥 + 1) = 0
1
1
⇒𝑥= , −
2
3
2
4
II. 8𝑦 2 − 2𝑦 − 1 = 0
⇒ 8𝑦 2 − 4𝑦 + 2𝑦 − 1 = 0
⇒ (2𝑦 − 1)(4𝑦 + 1) = 0
1
1
⇒𝑦= , −
No relation
514. Ans
I. 𝑥 2 + 23𝑥 + 132 = 0
𝑥 2 + 12𝑥 + 11𝑥 + 132 = 0
𝑥(+12) + 11(𝑥 + 12) = 0
(𝑥 + 11)(𝑥 + 12) = 0
𝑥 = −11, − 12
II. 𝑦 2 + 21𝑦 + 110 = 0
𝑦 2 + 11𝑦 + 10𝑦 + 110 = 0
𝑦(𝑦 + 11) + 10(𝑦 + 11) = 0
(𝑦 + 10)(𝑦 + 11) = 0
𝑦 = −10, − 11
So, 𝑥 ≤ y
515. Ans
I. 3𝑥 2 + 20𝑥 + 32 = 0
3𝑥 2 + 12𝑥 + 8𝑥 + 32 = 0
3𝑥(𝑥 + 4) + 8(𝑥 + 4) = 0
(3𝑥 + 8)(𝑥 + 4) = 0
8
𝑥 = −4, −
3
II. 5𝑦 2 + 23𝑦 + 24 = 0
5𝑦 2 + 15𝑦 + 8𝑦 + 24 = 0
5𝑦(𝑦 + 3) + 8(𝑦 + 3) = 0
(𝑦 + 3)(5𝑦 + 8) = 0
8
𝑦 = −3 , −
5
So, no relation exists
516. Ans
I. 𝑥 2 − 29𝑥 + 208 = 0
𝑥 2 − 13𝑥 − 16𝑥 + 208 = 0
𝑥(𝑥 − 13) − 16(𝑥 − 13) = 0
(𝑥 − 16)(𝑥 − 13) = 0
𝑥 = 16 , 13
II. 𝑦 2 − 21𝑦 + 108 = 0
𝑦 2 − 9𝑦 − 12𝑦 + 108 = 0
𝑦(𝑦 − 9) − 12(𝑦 − 9) = 0
(𝑦 − 12)(𝑦 − 9) = 0
𝑦 = 9, 12
So, 𝑥 > 𝑦
517. Ans
I. 𝑥 2 + 30𝑥 + 224 = 0
𝑥 2 + 14𝑥 + 16𝑥 + 224 = 0
𝑥(+14) + 16(𝑥 + 14) = 0
(𝑥 + 16)(𝑥 + 14) = 0
𝑥 = −16, − 14
II. 𝑦 2 + 35𝑦 + 306 = 0
𝑦 2 + 18𝑦 + 17𝑦 + 306 = 0
𝑦(𝑦 + 18) + 17(𝑦 + 18) = 0
(𝑦 + 18)(𝑦 + 17) = 0
𝑦𝑦 = −18, − 17
So, 𝑥 > 𝑦
518. Ans
3
I. 𝑥 = √40960
𝑥 = 16
II. 𝑦 2 = 256
𝑦 = √256
= ±16
So, 𝑥 ≥ 𝑦
519. Ans
I. y2 + 9y+18 = 0
y2 + 6y + 3y + 18 = 0
(y + 6)(y + 3) = 0 y = -3,-6
II. x — 7 i f y — -3 x = 10
if y = -6
Clearly, x > y
520. Ans
From I:
x3 – 16 × 4 = 9 × 31
Or, x3 = 279 + 64
Or, x3 = 343
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
450
@Crossword2022
Or, x = 7
From II:
y2 – 10y + 182 = 12 × 20 + 9y
Or, y2 – 19y + 324 = 240
Or, y2 – 19y + 84 = 0
Or, y2 – 12y – 7y + 84 = 0
Or, y(y – 12) – 7(y – 12) = 0
Or, (y – 7)(y – 12) = 0
Or, y = 7 or y = 12
So, x ≤ y
521. Ans
From I:
5x + 4y = 54
x = (54 – 4y)/5
From II:
8x – 3y = 30
8 × {(54 – 4y)/5} – 3y = 30
432 – 32y – 15y = 150
47y = 282, y = 6
Now x = {54 – 4 × 6}/5
x = 30/5, x = 6
So, x = y
522. Ans
From I:
5x2 – 18x + 16 = 0
5x2 – 10x – 8x + 16 = 0
5x(x – 2) – 8(x – 2) = 0
(5x – 8)(x – 2) = 0
x = 2, 8/5
From II:
6y2 = y + 12
6y2 – y – 12 = 0
6y2 – 9y + 8y – 12 = 0
3y(2y – 3) + 4(2y – 3) = 0
(2y – 3)(3y + 4) = 0
y = -4/3, 3/2
So, x > y.
523. Ans
Lx2 + 17x + 72 = 0
x2 + 9x + 8x + 72 = 0
(x + 9)(x + 8) = 0
x = -8, -9 II. y2 + 15y + 56 = 0
y2 + 7 y + 8y + 56 = 0
(y + 7)(y + 8) = 0 y = -7,-8
Clearly, y > x
524. Ans
I) 4x² – 16x + 15 = 0
4x² – 10x – 6x + 15 = 0
2x (2x – 5) – 3 (2x – 5) = 0
x=
3
5
or
2
2
II) 2y² – 13y + 18 = 0
2y² – 9y – 4y + 18 = 0
y (2y – 9) – 2 (2y – 9) = 0
9
y = or 2
2
∴ no relation between x and y
525. Ans
I) 5x² + 17x + 6 = 0
5x² + 15x + 2x + 6 = 0
5x (x + 3) + 2 (x + 3) = 0
–2
x = – 3 or
5
II) 7y² + 24y + 9 = 0
7y² + 21y + 3y + 9 = 0
7y (y + 3) + 3 (y + 3) = 0
–3
y = – 3 or
7
No relation between x and y
526. Ans
17x + 15y = 125 …(i)
19x + 5y = 15 …(ii)
Multiplying (ii) by 3 & subtracting (i) from (ii)
& solving
x=-2
53
𝑦=
5
∴x<y
527. Ans
I) 15x² – 4x – 35 = 0
15x² + 21x – 25x – 35 = 0
3x (5x + 7) – 5 (5x + 7) = 0
5
–7
x = or
3
5
II) 9y² – 43y – 10 = 0
9y² – 45y + 2y – 10 = 0
9y (y – 5) + 2 (y – 5) = 0
–2
y = 5 or
9
∴ No relation can be established.
528. Ans
I) 13x² – 64x – 5 = 0
13x² – 65x + x – 5 = 0
13x (x – 5) + 1 (x – 5) = 0
–1
x = 5 or
13
II) 11y² – 31y – 6 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
451
@Crossword2022
3
2
(ii) 2y² – 2y + y – 1 = 0
2y(y – 1) + 1 (y – 1) = 0
(2y + 1) (y – 1) = 0
1
y=− ,1 x>y
11y² – 33y + 2y – 6 = 0
11y (y – 3) +2 (y – 3) = 0
2
y = 3 or –
𝑥 = 2,
11
∴ No relation can be established.
529. Ans
(i) x² – 12x + 11x – 132 = 0
x(x – 12) + 11 (x – 12) = 0
(x + 11) (x – 12) = 0
x = –11, 12
(ii) y² – 14y – 8y + 112 = 0
y(y – 14) – 8(y – 14) = 0
(y – 8) (y – 14) = 0
y = 8, 14
No relation can be established between x & y.
530. Ans
(i) x² – 3x – 5x + 15 = 0
(x – 3) (x – 5) = 0
x = 3, 5
(ii) y² – 3y + y – 3 = 0
y(y – 3) + 1 (y – 3) = 0
(y + 1) (y – 3) =0
y = –1, 3
x≥y
531. Ans
(i) x 2 + 2√3x + 3√3x + 18 = 0
x(x + 2√3) + 3√3 (x + 2√3) = 0
(x + 3√3)(x + 2√3) = 0
x = −3√3, −2√3
2
534. Ans
I. 2𝑥 2 − 17𝑥 + 36 = 0
2𝑥 2 − 8𝑥 − 9𝑥 + 36 = 0
2𝑥(𝑥 − 4) − 9(𝑥 − 4) = 0
(2𝑥 − 9)(𝑥 − 4) = 0
9
𝑥= ,4
2
II. 3𝑦 2 − 22𝑦 + 40 = 0
3𝑦 2 − 12𝑦 − 10𝑦 + 40 = 0
3𝑦(𝑦 − 4) − 10(𝑦 − 4) = 0
(𝑦 − 4)(3𝑦 − 10) = 0
10
𝑦 = 4,
3
𝑥≥𝑦
535. Ans
2𝑥 2 − 𝑥 − 3 = 0
(𝑥 + 1)(2𝑥 − 3) = 0
3
𝑥 = −1,
2
4𝑦 2 − 24𝑦 + 35 = 0
4𝑦 2 − 14𝑦 − 10𝑦 + 35 = 0
5 7
𝑦= ,
2 2
𝑦>𝑥
536. Ans
2𝑥 2 − 3𝑥 − 4𝑥 + 6 = 0
𝑥(2𝑥 − 3)2(2𝑥−3) = 0
(𝑥 − 2)(2𝑥 − 3) = 0
3
𝑥 = 2,
(ii) y 2 + 2√3 y − 3√3 y − 18 = 0
(y + 2√3)(y − 3√3) = 0
y = − 2√3, 3√3
y≥x
532. Ans
(i) 2x² – x – 3 = 0
(x + 1) (2x – 3) = 0
3
𝑥 = − 1,
2
(ii) 4y² – 24y + 35 = 0
4y² – 14y – 10y + 35 = 0
5 7
𝑦= ,
2 2
y>x
533. Ans
(i) 2x² – 3x – 4x + 6 = 0
x(2x – 3) – 2 (2x – 3) = 0
(x – 2) (2x – 3) = 0
2
2𝑦 2 − 2𝑦 + 𝑦 − 1 = 0
2𝑦(𝑦 − 1) + 1(𝑦 − 1) = 0
(2𝑦 + 1)(𝑦 − 1) = 0
1
𝑦=− , 1
2
𝑥>𝑦
537. Ans
I. 4𝑥 2 + 16𝑥 + 15 = 0
⇒ 4𝑥 2 + 10𝑥 + 6𝑥 + 15 = 0
⇒ (2𝑥 + 5)(2𝑥 + 3) = 0
5
3
⇒𝑥=− , −
2
2
II. 3𝑦 2 + 4𝑦 + 1 = 0
⇒ 3𝑦 2 + 3𝑦 + 𝑦 + 1 = 0
⇒ (𝑦 + 1)(3𝑦 + 1) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
452
@Crossword2022
⇒ 𝑦 = −1, −
1
3
542. Ans
I. 5𝑥 2 − 27𝑥 + 28 = 0
5𝑥 2 − 20𝑥 − 7𝑥 + 28 = 0
(𝑥 − 4)(5𝑥 − 7) = 0
7
𝑥 = 4,
⇒𝑦>𝑥
538. Ans
I. 𝑥 2 + 2𝑥 − 35 = 0
⇒ 𝑥 2 + 7𝑥 − 5𝑥 − 35 = 0
⇒ 𝑥(𝑥 + 7) − 5(𝑥 + 7) = 0
⇒ 𝑥 = 5, − 7
II. 𝑦 2 + 3𝑦 − 10 = 0
⇒ 𝑦 2 + 5𝑦 − 2𝑦 − 10 = 0
⇒ (𝑦 + 5)(𝑦 − 2) = 0
⇒ 𝑦 = −5, 2
⇒ no relation can be established between x
and y
539. Ans
I. 𝑥 2 − 12𝑥 + 35 = 0
𝑥 2 − 7𝑥 − 5𝑥 + 35 = 0
𝑥(𝑥 − 7) − 5(𝑥 − 7) = 0
(𝑥 − 7)(𝑥 − 5) = 0
𝑥 = 7, 5
II. 𝑦 2 − 9𝑦 + 20 = 0
𝑦 2 − 5𝑦 − 4𝑦 + 20 = 0
𝑦(𝑦 − 5) − 4(𝑦 − 5) = 0
(𝑦 − 4)(𝑦 − 5) = 0
𝑦 = 4, 5
So, 𝑥 ≥ 𝑦
540. Ans
I. 5𝑥 − 3𝑦 = 3...(i)
II. 2𝑥 + 5𝑦 = 26…(ii)
Multiply (i) by 5 and (ii) by 3
25𝑥 − 15𝑦 = 15 …(iii)
6𝑥 + 15𝑦 = 78 …(iv)
On solving (iii) & (iv)
𝑦 = 4, 𝑥 = 3
𝑆𝑜, 𝑦 > 𝑥
541. Ans
I. 12𝑥 2 + 59𝑥 + 72 = 0
12𝑥 2 + 32𝑥 + 27𝑥 + 72 = 0
4𝑥(3𝑥 + 8) + 9 (3𝑥 + 8) = 0
(3𝑥 + 8)(4𝑥 + 9) = 0
8
9
𝑥=− , −
3
5
II. 25𝑦 2 − 65𝑦 + 42 = 0
25𝑦 2 − 30𝑦 − 35𝑦 + 42 = 0
(5𝑦 − 6)(5𝑦 − 7) = 0
6 7
𝑦= ,
So 𝑦 ≤ 𝑥
5 5
543. Ans
I. 𝑥 2 − 3𝑥 − 18 = 0
𝑥 2 − 6𝑥 + 3𝑥 − 18 = 0
𝑥(𝑥 − 6) + 3(𝑥 − 6) = 0
(𝑥 − 6)(𝑥 + 3) = 0
𝑥 = 6, − 3
II. 𝑦 2 + 7𝑦 + 12 = 0
𝑦 2 + 3𝑦 + 4𝑦 + 12 = 0
𝑦(𝑦 + 3) + 4(𝑦 + 3) = 0
(𝑦 + 3)(𝑦 + 4) = 0
𝑦 = −3, − 4
So 𝑥 ≥ 𝑦
544. Ans
I. 𝑥 2 + 6𝑥 + 2𝑥 + 12 = 0
(𝑥 + 6)(𝑥 + 2) = 0
𝑥 = −2, − 6
II. 2𝑦 2 + 8𝑦 + 6𝑦 + 24 = 0
(𝑦 + 4)(2𝑦 + 6) = 0
𝑦 = −3, − 4
Hence, no relation can be established
545. Ans
I. 𝑥 2 − 6𝑥 + 5𝑥 − 30 = 0
(𝑥 − 6)(𝑥 + 5) = 0
𝑥 = 6, − 5
II. 𝑦 2 − 8𝑦 − 7𝑦 + 56 = 0
(𝑦 − 8)(𝑦 − 7) = 0
𝑦 = 7,8
Hence 𝑦 > 𝑥
546. Ans
I. 𝑥 2 + 25𝑥 + 6𝑥 + 150 = 0
(𝑥 + 25)(𝑥 + 6) = 0
𝑥 = −6, − 25
II. 𝑦 2 + 26𝑦 + 28𝑦 + 728 = 0
(𝑦 + 26)(𝑦 + 28) + 0
𝑦 = −26, − 28
Hence 𝑥 > 𝑦
547 . Ans
I. 𝑥 2 = 256
4
II. 4𝑦 2 + 17𝑦 + 18 = 0
4𝑦 2 + 9𝑦 + 8𝑦 + 18 = 0
𝑦(4𝑦 + 9) + 2(4𝑦 + 9) = 0
(4𝑦 + 9)(𝑦 + 2) = 0
9
𝑦 = −2, −
4
So 𝑥 ≤ y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
453
@Crossword2022
𝑥(2𝑥 + 15) − 4(2𝑥 + 15) = 0
(𝑥 − 4)(2𝑥 + 15) = 0
15
𝑥 = 4, −
𝑥 = ±√256
𝑥 = +16, − 16
II. 𝑦 = √256
𝑦 = 16
Hence 𝑦 ≥ 𝑥
548 . Ans
I. 𝑥 2 − 45𝑥 + 506 = 0
𝑥 2 − 23𝑥 − 22𝑥 + 506 = 0
(𝑥 − 23)(𝑥 − 222) = 0
𝑥 = 22, 23
II. 𝑦 2 − 9𝑦 − 360 = 0
𝑦 2 − 24𝑦 + 15𝑦 − 360 = 0
(𝑦 − 24)(𝑦 + 15) = 0
𝑦 = −15, 24
Hence, no relation
549 . Ans
From I:
5x2 + 10x = 315
Or, x2 + 2x = 63
Or, x2 + 2x – 63 = 0
Or, x2 + 9x – 7x – 63 = 0
Or, x(x + 9) – 7(x + 9) = 0
Or, (x + 9)(x – 7) = 0
Or, x = -9 or x = 7
From II:
2y2 + 16y = 3y2 + 64
Or, y2 – 16y + 64 = 0
Or, y2 – 8y – 8y + 64 = 0
Or, y(y – 8) – 8(y – 8) = 0
Or, (y – 8)(y – 8) = 0
Or y = 8
So, y > x
550. Ans
I. 𝑥 2 + 21𝑥 + 108 = 0
𝑥 2 + 9𝑥 + 12𝑥 + 108 = 0
𝑥(𝑥 + 9) + 12(𝑥 + 9) = 0
(𝑥 + 12)(𝑥 + 9) = 0
𝑥 = −12, − 9
II. 𝑦 2 + 14𝑦 + 48 = 0
𝑦 2 + 6𝑦 + 8𝑦 + 48 = 0
𝑦(𝑦 + 6) + 8(𝑦 + 6) = 0
(𝑦 + 8)(𝑦 + 6) = 0
𝑦 = −8, − 6
𝑦>𝑥
551. Ans
I. 2𝑥 2 + 7𝑥 − 60 = 0
3𝑥 2 + 15𝑥 − 8𝑥 − 60 = 0
2
II. 3𝑦 2 − 28𝑦 + 64 = 0
3𝑦 2 − 12𝑦 − 16𝑦 + 64 = 0
3𝑦(𝑦 − 4) − 16(𝑦 − 4) = 0
(3𝑦 − 16)(𝑦 − 4) = 0
16
𝑦= , 4
3
𝑦≥𝑥
552. Ans
I. 𝑥 2 − 2𝑥 − 24 = 0
𝑥 2 − 6𝑥 + 4𝑥 − 24 = 0
𝑥(𝑥 − 6) + 4(𝑥 − 6) = 0
(𝑥 + 4)(𝑥 − 6) = 0
𝑥 = 6, − 4
II. 𝑦 2 + 3𝑦 − 40 = 0
𝑦 2 + 8𝑦 − 5𝑦 − 40 = 0
𝑦(𝑦 + 8) − 5(𝑦 + 8) = 0
(𝑦 − 5)(𝑦 + 8) = 0
𝑦 = 5, − 8
No relation can be established
553. Ans
I. 4𝑥 2 + 27𝑥 + 45 = 0
4𝑥 2 + 12𝑥 + 15𝑥 + 45 = 0
4𝑥(𝑥 + 3) + 15(𝑥 + 3) = 0
(4𝑥 + 15)(𝑥 + 3) = 0
15
𝑥 =− , −3
4
II. 5𝑦 2 + 42𝑦 + 88 = 0
5𝑦 2 + 20𝑦 + 22𝑦 + 88 = 0
5𝑦(𝑦 + 4) + 22(𝑦 + 4) = 0
(5𝑦 + 22)(𝑦 + 4) = 0
22
𝑦 = −4, −
𝑥>𝑦
5
554. . Ans
I.
𝑥 2 − 218 = 358
∴ 𝑥 2 = 576 |
∴ 𝑥 = ±24
𝐼𝐼. 𝑦 3 − 804 = 1393
or, 𝑦 3 = 2197
∴ 𝑦 = 13
Hence no relation can be established.
555. Ans
3x 2 + 11x + 6 = 0
2
I. or, 3x + 9x + 2x + 6 = 0 |
or, 3x(x + 3) + 2(x + 3) = 0
or, (3x + 2)(x + 3) = 0
|
2
∴x=− , −3
3
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
454
@Crossword2022
II.
7x2 + 17x – 12 = 0
7x2 + 21x – 4x – 12 = 0
7x(x + 3) – 4(x + 3) = 0
(x + 3)(7x – 4) = 0
x = -3, 4/7
From II:
7y2 – 62y + 48 = 0
7y2 – 56y – 6y + 48 = 0
7y(y – 8) – 6(y – 8) = 0
(y – 8)(7y – 6) = 0
y = 8, 6/7
561. Ans
From I:
x2 – 54x + 728 = 0
x2 – 26x – 28x + 728 = 0
x(x – 26) – 28(x – 26) = 0
(x – 26)(x – 28) = 0
x = 26, 28
From II:
y2 – 52y + 676 = 0
y2 – 26y – 26y + 676 = 0
y(y – 26) – 26(y – 26) = 0
(y – 26)(y – 26) = 0
y = 26, 26
x>y
562. Ans
From I:
x2– 44x + 459 = 0
x2– 17x – 27x + 459 = 0
x(x – 17) – 27(x – 17) = 0
(x – 17)(x – 27) = 0
x = 17, 27
From II:
y2 – 31y + 238 = 0
y2 – 14y –17y + 238 = 0
y(y – 14) –17(y – 14) = 0
(y –14)(y – 17) = 0
y = 14, 17
x>y
563. Ans
x – 23√𝑥 + 132 = 0
x – 11√𝑥 – 12√𝑥 + 132 = 0
√𝑥 (√𝑥 – 11) – 12(√𝑥 –11) = 0
(√𝑥 – 11)( √𝑥 – 12) = 0
√𝑥= 11, 12
x = 121, 144
From II:
6𝑦 2 + 5𝑦 + 1 = 0
or, 6𝑦 2 + 3𝑦 + 2𝑦 + 1 = 0
or, 3𝑦(2𝑦 + 1) + 1(2𝑦 + 1) = 0
or, (3𝑦 + 1)(2𝑦 + 1) = 0
1 1
∴ 𝑦 = − ,−
3 2
Hence 𝑥 < 𝑦
556. Ans
I. 3x² + 10x + 7 = 0
⇒ 3x² + 7x +3x + 7 = 0
7
⇒ (x+ 1) (3x + 7) = 0 ⇒ x = -1, −
3
II. 3y² + 4y + 1 = 0
⇒ 3y² + 3y + y + 1 = 0
⇒ (y + 1) (3y + 1) = 0
1
⇒ y = –1, −
y≥x
3
557. Ans
I. x² + 18x + 77 = 0
⇒ (x + 11) (x + 7) = 0 ⇒ x = –11, –7
II. y² +18y +72 = 0 ⇒y –12, –6
No relation can be established
558. Ans
I. 2x² + x – 15 = 0
2x² + 6x – 5x – 15 = 0
2x (x + 3) – 5 (x + 3) = 0
5
𝑥 = − 3,
2
II. 9y² + 9y – 10 = 0
9y² + 15y – 6y – 10 = 0
3y (3y + 5) – 2 (3y+ 5) = 0
5 2
𝑦= − ,
3 3
∴ Relation cannot be established.
559. Ans
3x2 + 17x + 20 = 0
3x2 + 12x + 5x + 20 = 0
3x(x + 4) + 5(x + 4) = 0
(x + 4)(3x + 5) = 0
x = -4, -5/3
From II:
5y2 + 33y + 18 = 0
5y2 + 30y + 3y + 18 = 0
5y(y + 6) + 3(y + 6) = 0
(y + 6)(5y + 3) = 0
y = -6, -3/5
560. Ans
From I:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
455
@Crossword2022
y = 5, 6
No Relation
567. Ans
𝑥 2 + 24𝑥 + 119 = 0
⇒ x 2 + 7x + 17x + 119 = 0
⇒ (x + 7)(x + 17) = 0
⇒ 𝑥 = −7, − 17
And 3𝑦 2 + 10𝑦 + 7 = 0
⇒ 3𝑦 2 + 3𝑦 + 7𝑦 + 7 = 0
⇒ (𝑦 + 1)(3𝑦 + 7) = 0
7
⇒ 𝑦 = −1, −
3
So, x<y
568. Ans
(𝑥 + 𝑦)2 = 361
⇒ 𝑥 + 𝑦 = ±19 … … (𝑖)
⇒ 92442 = 𝑦 2 + 92361
⇒ 𝑦 2 = 81
⇒ 𝑦 = ±9 … . . (𝑖𝑖)
Using (i) and (ii)
When y=9
⇒ 𝑥 + 𝑦 = ±19
⇒ 𝑥 = 10, − 28
When y= - 9
⇒ 𝑥 + 𝑦 = ±19
⇒ 𝑥 = −10, 28
So, no relation can be obtained.
569. Ans
√𝑥 + 4 = √225 − √121
⇒ √𝑥 + 4 = 4
⇒ 𝑥 + 4 = 16
⇒ 𝑥 = 12
And 𝑦 2 = 473 − 329
⇒ 𝑦 = ±12
So, 𝑥 ≥ 𝑦
570. Ans
223𝑥 + 122𝑦 = 791 … … (𝑖)
122𝑥 + 223𝑦 = 589 … … (𝑖𝑖)
Adding equation (i) and (ii)
345(𝑥 + 𝑦) = 1380
𝑥+𝑦=4
… … . (𝑖𝑖𝑖)
Subtract equation (ii) from (i)
101(𝑥 − 𝑦) = 202
𝑥 − 𝑦 = 2 … … (𝑖𝑣)
From (iii) and (iv)
𝑥 = 3, 𝑦 = 1
So, 𝑥 > 𝑦
y – 25√𝑦 + 156 = 0
y – 12√𝑦 – 13√𝑦 + 156 = 0
√𝑦 (√𝑦 – 12) – 13(√𝑦 – 12) = 0
(√𝑦 – 12)( √𝑦 – 13) = 0
√𝑦 = 12, 13
y = 144, 169
y>x
564. Ans
From I:
x2 – 17x + 70 = 0
x2 – 7x – 10x + 70 = 0
x(x – 7) – 10(x – 7) = 0
(x – 7)(x – 10) = 0
x = 7, 10
From II:
y2+ 10y – 119 = 0
y2 – 7y + 17y – 119 = 0
y(y – 7) + 17(y – 7) = 0
(y – 7)(y + 17) = 0
y = 7, -17
x>y
565. Ans
From I:
x2+ 35x + 300 = 0
x2+ 15x + 20x + 300 = 0
x(x + 15) + 20(x + 15) = 0
(x + 15)(x + 20) = 0
x = -15, -20
From II:
y2+ 20y + 99 = 0
y2 + 11y + 9y + 99 = 0
y(y + 11) + 9(y + 11) = 0
(y + 11)(y + 9) = 0
y = -11, -9
y>x
566. Ans
x2 – 11x + 28 = 0
x2 – 4x – 7x + 28 = 0
x(x – 4) – 7(x – 4) = 0
(x – 4)(x – 7) = 0
x = 4, 7
From II:
y2– 11y + 30 = 0
y2 – 5y – 6y + 30 = 0
y(y – 5) – 6(y – 5) = 0
(y – 5)(y – 6) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
456
@Crossword2022
x=(216)1/3
x=6
(II) 2y²–25y+78=0
2y²–12y–13y+78=0
2y(y–6)–13(y–6) =0
13
y= , 6.
571. Ans
7𝑥 2 − 21𝑥 − 23𝑥 + 69 = 0
⇒ (7𝑥 − 23)(𝑥 − 3) = 0
23
⇒ 𝑥 = 3,
7
And 3𝑦 2 − 21𝑦 − 19𝑦 + 133 = 0
⇒ (3𝑦 − 19)(𝑦 − 7) = 0
19
⇒ 𝑦 = 7,
3
So, 𝑥 < 𝑦
572. Ans
(i) 8x²–10x+3=0
8x²–6x–4x+3=0
2x(4x–3)–1(4x–3)=0
(2x–1)(4x–3)=0
1
3
x= or
2
2
∴ y ≥x.
576 . Ans
(i) 5x² + 31x + 48 = 0
5x² + 15x + 16x + 48 = 0
5x (x + 3) + 16 (x + 3) = 0
x = –3, –16/5
(ii) 3y² + 27y + 42 = 0
3y² + 21y + 6y + 42 = 0
3y (y + 7) + 6 (y + 7) = 0
y = –7, –2
So, Relation cannot be established
577. Ans
I. 6x² + 17x + 5 = 0
6x² + 2x + 15x + 5 = 0
2x (3x + 1) +5 (3x + 1) = 0
5
1
∴ 𝑥 = − 𝑜𝑟 −
2
3
II. 2y² + 21y + 49 = 0
2y² + 14y + 7y + 49 = 0
2y (y + 7) +7(y + 7) = 0
7
𝑦 = −7, −
4
(I) 5y² + 14y–3=0
5y²+15y–y–3=0
5y(y+3)–1(y+3)=0
(5y–1)(y+3)=0
1
y= or –3.
5
∴
x>y
573. Ans
(I)
3x²+13x+12=0
3x²+9x+4x+12=0
3x(x+3) +4(x+3) =0
4
x=–3 , –
2
⇒x>y
578. Ans
I. x² - 8x + 15 = 0
x² - 5x – 3x + 15 = 0
x(x - 5) – 3 (x - 5) = 0
∴ x = 3 or 5
II. 2y² - 5y – 3 = 0
2y² - 6y + y – 3 = 0
2y (y - 3) + 1 (y – 3) = 0
1
𝑦 = 3 𝑜𝑟 −
2
∴x≥y
579. Ans
I. 5x² + 11x + 2 = 0
5x² + 10x + x + 2 = 0
5x(x + 2) +1 (x + 2) = 0
1
x = -2 or −
3
(II)
y²+9y+20=0
y²+5y+4y+20=0
y(y+5) + 4(y+5) =0
y = –5 , –4
∴
x>y
574. Ans
x²–4x–5=0
x²–5x+x–5=0
x(x–5) +1(x–5) =0
x=5 , –1.
7y²–25y–12=0
7y²–28y+3y–12=0
7y(y–4)+3(y–4)=0
(y–4) (7y+3) = 0
y= 4 , –3/7
∴ No relation.
575. Ans
(I) x³=216
5
II. 4y² + 13y + 3 = 0
4y² + 12y + y + 3 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
457
@Crossword2022
4y (y + 3) + 1 (y + 3) = 0
1
∴ y = -3 𝑜𝑟 −
x2 – 31x + 240 = 0
x2 – 16x – 15x + 240 = 0
x(x – 16) – 15(x – 16) = 0
(x – 16)(x – 15) = 0
x = 16, 15
From II:
y2 – 16y – 105 = 0
y2 – 21y + 5y – 105 = 0
y(y – 21) + 5(y – 21) = 0
(y – 21)(y + 5) = 0
y = 21, -5
So, no relation can be established between x
and y.
585. Ans
From I:
x2 – 33x + 270 = 0
x2 – 18x – 15x + 270 = 0
x(x – 18) – 15(x – 18) = 0
(x – 18)(x – 15) = 0
x = 15, 18
From II:
y2 – 20y + 96 = 0
y2 – 8y – 12y + 96 = 0
y(y – 8) – 12(y – 8) = 0
(y – 8)(y – 12) = 0
y = 8, 12
So, x > y
586. Ans
From I:
x2 – 19x + 84 = 0
x2 – 12x – 7x + 84 = 0
x(x – 12) – 7(x – 12) = 0
(x – 12)(x – 7) = 0
x = 12, 7
From II:
y2 – 36y + 320 = 0
y2 – 16y – 20y + 320 = 0
y(y – 16) – 20(y – 16) = 0
(y – 16)(y – 20) = 0
y = 16, 20
So, x < y
587. Ans
From equation I:
x2 +19x +88 = (x + 11)(x + 8)= 0
=> x = -11, -8
From equation II:
y2 +25y +154 = (y + 14)(y + 11) = 0
4
∴ no relation
580. Ans
I. 4x + 2y = 4…(i)
II. 3x + 5y = 3…(ii)
Multiplying (i) by 5 & (ii) by 2 and on solving
x = 1, y = 0
∴x>y
581. Ans
I. 6x² + x – 15 = 0
6x² - 9x + 10x – 15=0
3x (2x - 3) +5 (2x – 3)= 0
3
5
∴ 𝑥 = 𝑜𝑟 −
2
3
II. 4y² - 24y + 35 = 0
4y² - 14y – 10y + 35 = 0
2y(2y - 7) – 5 (2y - 7) = 0
7
5
∴ 𝑦 = 𝑜𝑟
∴y>x
2
2
582. Ans
From I:
x2 – 38x + 360 = 0
x2 - 18x – 20x + 360 = 0
x(x – 18) – 20(x – 18) = 0
(x – 18)(x – 20) = 0
x = 18, 20
From II:
y2 – 30y + 216 = 0
y2 – 18y – 12y + 216 = 0
y(y – 18) – 12(y – 18) = 0
(y – 18)(y – 12) = 0
y = 18, 12
So, x ≥ y
583. Ans
From I:
x2 + x – 72 = 0
x2 - 8x + 9x – 72 = 0
x(x – 8) + 9(x – 8) = 0
(x – 8)(x + 9) = 0
x = 8, -9
From II:
y2 – 23y + 120 = 0
y2 – 15y – 8y + 120 = 0
y(y – 15) – 8(y – 15) = 0
(y – 15)(y – 8) = 0
y = 15, 8
So, x ≤ y
584. Ans
From I:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
458
@Crossword2022
9
=> y = -14, -11 So, x ≥ y
588. Ans
From equation I:
x2 -169 = (x + 13)(x -13)= 0
=> x = -13, 13
From equation II:
y2 -35y +286
= (y -22)(y -13) = 0
=> y = 22, 13
y>x
589. Ans
From equation I:
x2 +13x +36 = (x + 9)(x + 4)= 0
=> x = -9, -4
From equation II:
y2 -4y -252 = (y -18)(y + 14) = 0
=> y = 18, -14
No relation
590. Ans
From equation I:
x2 +20x -21 = (x -1)(x + 21)= 0
=> x = 1, -21
From equation II:
y2 -20y +84 = (y -14)(y -6) = 0
=> y = 14, 6
y>x
591. Ans
(i) 𝑥 2 – 25𝑥 + 156 = 0
𝑥 2 – 13𝑥– 12𝑥 + 156 = 0
𝑥 = 13, 12
(ii) 𝑦 2 − 21𝑦 + 108 = 0
𝑦 2 – 12𝑦 − 9𝑦 + 108 = 0
𝑦 = 12, 9 𝑥 ≥ 𝑦
592. Ans
(i) 3𝑥 + 5𝑦 = 18
(ii) 7𝑥 + 8𝑦 = 42
Multiple (i) × 7 and (ii) × 3
21x + 35y =126
21x + 24y = 126
On solving above equations
y=0
x=6
x>y
593. Ans
(𝑖)2𝑥 2 + 15𝑥 + 27 = 0
2𝑥 2 + 9𝑥 + 6𝑥 + 27 = 0
𝑥 = − , −3
2
2
(𝑖𝑖) 3𝑦 + 25𝑦 − 18 = 0
3𝑦 2 + 27𝑦 − 2𝑦 − 18 = 0
2
𝑦 = − 9,
3
∴ No relation can be established between x
and y
594. Ans
(i) 6𝑥 2 + 29𝑥 + 35 = 0
6𝑥 2 + 15𝑥 + 14𝑥 + 35 = 0
5
7
𝑥=− , −
2
3
(ii) 20𝑦 2 + 27y + 9 = 0
20y 2 + 15y + 12y + 9 = 0
3
3
𝑦 = − ,−
5
4
∴ 𝑦>𝑥
595. Ans
(i) 𝑥 2 – 7𝑥 − 30 = 0
x² – 10 x + 3x –30 = 0
x = 10, –3
(ii) y² + 15y + 50 = 0
y² + 10y + 5y + 50 = 0
y = −10, –5
x>y
596. Ans
I. x² – 4x – x + 4 = 0
(x – 1) (x – 4) = 0
x = 1, 4
II. y² + 2y+ y + 2 = 0
y(y + 2) + 1 (y+ 2) = 0
(y + 1) (y + 2) = 0
⇒ y = –1, –2
⇒x>y
597. Ans
I. 6x² – 2x – 3x + 1= 0
2x(3x – 1) – 1 (3x – 1) = 0
(2x – 1) (3x – 1) = 0
1 1
𝑥= ,
2 3
II. 15y² – 3y – 5y + 1 = 0
3y (5y – 1) – 1 (5y – 1) = 0
(3y – 1) (5y – 1) = 0
1 1
𝑦= ,
3 5
⇒x≥y
598. Ans
I. x² + 4x + x + 4 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
459
@Crossword2022
x(x + 4) + 1 (x + 4) = 0
(x + 1) (x + 4) = 0
x = –1, –4
II. y² – 7y + 2y – 14 = 0
(y – 7) (y + 2)= 0
y = –2, 7
⇒ No relation
599. Ans
I. x² + 4x + 5x + 20 = 0
(x + 4) (x + 5) = 0
x = –4, –5
II. y² + 3y+ y + 3 = 0
(y + 1) (y + 3) = 0
y = –1, –3
⇒x<y
600. Ans
I. x² – 4x – 2x + 8 = 0
(x – 4) (x – 2) = 0
x = 2, 4
II. y² + 4y – 2y – 8 = 0
(y + 4) (y – 2) = 0
y = –4, 2
⇒x≥y
601. Ans
(i) x² – 35x + 306 = 0
x² – 17x – 18x + 306 = 0
x (x – 17) – 18 (x – 17) = 0
x = 17, 18
(ii) y² – 33y + 272 = 0
y² – 17y – 16y + 272 = 0
y (y – 17) – 16 (y – 17) = 0
y = 16, 17
x≥y
602. Ans
From I:
x2 + 12x + 32 = 0
x2 + 4x + 8x + 32 = 0
x(x + 4) + 8(x + 4) = 0
(x + 4)(x + 8) = 0
x = -4, -8
From II:
y2 – 11y – 60 = 0
y2– 15y + 4y – 60 = 0
y(y – 15)+ 4(y – 15) = 0
(y – 15)(y + 4) = 0
y = -4, 15
y>x
603. Ans
x
(i) (16)0.25 = √64
𝑥 = √64 × (24 )0.25
𝑥 = √64 × 2
x = 16
(ii) y² = 256
y = ±16
x≥y
604. Ans
(i) 3x² – 25x + 48 = 0
3x² – 9x – 16x + 48 = 0
3x (x – 3) – 16 (x – 3) = 0
16
x=
,3
3
(ii) 4y² – 24y+ 32 = 0
4y (y – 4) – 8 (y – 4) = 0
y = 4, 2
No relation
605. Ans
(i) 2x² – 19x + 42 = 0
2x (x – 6) – 7 (x – 6) = 0
7
x = ,6
2
(ii) 5y² – 25y – 16y + 80 = 0
5y (y – 5) – 16 (y – 5)
16
y=
,5
5
No relation
606. Ans
I. 7x² – 23x + 18 = 0
7x² – 14x – 9x + 18 = 0
(7x – 9) (x – 2) = 0
9
x= , 2
7
II. 4y² – 9y + 5 = 0
4y² – 4y – 5y + 5 = 0
4y (y – 1) – 5(y – 1) = 0
(4y – 5) (y – 1) = 0
5
y= , 1⇒x>y
4
607. Ans
I. 10x² - 11x – 6 = 0
5x (2x – 3) + 2 (2x – 3) = 0
(5x + 2) (2x – 3) = 0
2
3
x= – ,
5
2
II. y² + 5y + 6 = 0
y² + 2y + 3y + 6 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
460
@Crossword2022
y (y + 2) +3 (y + 2) = 0
(y + 3) (y + 2) = 0
y = – 2, –3 ⇒ x > y
608. Ans
I. 13x² – 29x + 16 = 0
13x² – 13x – 16x + 16 = 0
13x (x – 1) –16 (x – 1) = 0
(13x – 16) (x – 1) = 0
16
x= , 1
II. 2y² + 19y + 42 = 0
2y² + 12y + 7y + 42 = 0
(2y+7)(y+6)=0
7
y = -6, −
2
no relation
613. Ans
I. 28x² + 33x +9 =0
28x² + 21x + 12x + 9 = 0
(7x+3)(4x+3)=0
3
3
𝑥= − , −
4
7
II. 25y² + 50y + 24 = 0
25y² + 30y + 20y + 24 = 0
(5y+6)(5y+4)=0
4
6
𝑦=− , −
5
5
∴x>y
614. Ans
(I) 16x2 - 16x + 3 = 0
=> 16x2 - 12x - 4x + 3 = 0
=> 4x(4x - 3) - (4x - 3) = 0
=> (4x - 3)(4x - 1) = 0
=> x = ¾ or ¼
=> x = 0.75 or 0.25
(II) 2y2 - y - 3 = 0
=> 2y2 - 3y + 2y - 3 = 0
=> y(2y - 3) + (2y - 3) = 0
=> (2y - 3)(y + 1) = 0 => y = 3/2, or -1
=> y = 1.5 or -1
When x = 0.75 and y = 1.5, so, x < y
And, when x = 0.75 and y = -1 so, x > y
And, when x = 0.25 and y = 1.5 so, x < y
And, when x = 0.25 and y = -1 so, x > y
Hence, the relation cannot be established
between x and y
615. Ans
(I) 2x2 - 7x + 5 = 0
=> 2x2 - 2x - 5x + 5 = 0
=> 2x(x - 1) - 5(x - 1) = 0
=> (2x - 5)(x - 1) = 0
=> x = 5/2 or 1
=> x = 2.5 or 1
3
And, y = √8
=> y = 2
When x = 2.5 and y = 2 so, x > y
And, when x = 1 and y = 2 so, x < y
13
II. 6y² – 11y + 5 = 0
6y² – 6y – 5y + 5 = 0
6y (y – 1) – 5 (y – 1) = 0
(6y – 5) (y – 1) = 0
5
y = ,1
6
⇒x≥y
609. Ans
I. x = √169 = 13
II. (y – 1)² = 144
y – 1 = 12 or y – 1 = – 12
y = 13 or y = – 11
⇒x≥y
610. Ans
I. 2x² - 9x + 9 = 0
2x² - 6x – 3x + 9 = 0
(2x-3)(x-3)=0
3
𝑥= ,3
2
II. 6y² - 17y + 12 = 0
6y² - 8y – 9y + 12 = 0
(2y-3)(3y-4)=0
3 4
𝑦= ,
2 3
∴x≥y
611. Ans
Multiply (i) by 7 and multiply (ii) by 3 and
subtract (ii) from (i)
15
y=
11
64
𝑥=
11
∴x>y
612. Ans
I. 3x² + 5x – 112 = 0
3x² + 21x – 16x – 112 = 0
(3x-16)(x+7)=0
16
𝑥 = − 7,
3
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
461
@Crossword2022
Hence, relationship cannot be established
between x and y.
616. Ans
x2 - 11x + 10 = 0
=> x2 - x - 10x + 10 = 0
=> (x - 10)(x - 1) = 0 => x = 10, 1
(II) y2 - 5y + 6 = 0
=> y2 - 2y - 3y + 6 = 0
=> y(y - 2) - 3(y - 2) = 0
=> (y - 2)(y - 3) = 0 => y = 2 or 3
When x = 10 and y = 2, so, x > y
And, when x = 10 and y = 3, so, x > y
And, when x = 1 and y = 2, so, x < y
And, when x = 1 and y = 3, so, x < y
Hence, relationship cannot be established
between x and y.
617. Ans
3x2 + 7x - 20 = 0
(x + 4)(3x - 5) = 0
x = -4 and 5/3
6y2 - y - 15 = 0
(2y + 3)(3y - 5) = 0
y = -3/2 and 5/3
Hence, relation can't be determined.
618. Ans
I. 3x² – 22x + 40 = 0
3x² – 12x – 10x + 40 = 0
3x(x – 4) – 10 (x – 4) = 0
(3x – 10) (x –4) = 0
10
𝑥=
,4
3
II. 2y² – 17y + 36 = 0
2y² – 8y – 9y + 36 = 0
2y(y – 4) –9 (y – 4) = 0
(2y–9) (y – 4) = 0
9
y= ,4
y≥x
y= −
16
3
. −4
No relation can be established between x & y
620. Ans
I. x² – 14x + 48 =0
x² – 6x – 8x + 48 = 0
x(x – 6) – 8 (x – 6) = 0
(x – 8) (x – 6) = 0
x= 8, 6
II. 2y² – 19y + 45 = 0
2y² – 10y – 9y + 45 = 0
2y (y – 5) – 9(y – 5) = 0
(2y – 9) (y – 5) = 0
9
𝑦= , 5
2
x>y
621. Ans
I. 2x² + 13x + 20 = 0
2x² + 8x + 5x + 20 = 0
2x(x + 4) + 5 (x + 4) = 0
(2x + 5) (x + 4) = 0
−5
𝑥=
, −4
2
II. 3y² + 26y +56 = 0
3y² + 12y + 14y + 56 = 0
3y (y + 4) + 14 (y + 4) = 0
(3y + 14) (y + 4) =0
14
𝑦= −
, −4
3
x≥y
622. Ans
I. 15x² + 5x + 6x + 2 = 0
5x (3x + 1) + 2 (3x + 1) = 0
(5x + 2) (3x + 1) = 0
−2
1
𝑥=
, −
5
3
II. 24y² + 8y + 3y + 1 = 0
8y (3y +1) + 1 (3y + 1) = 0
(8y + 1) (3y + 1) = 0
1 −1
𝑦= − ,
⇒x≤y
2
619. Ans
I. 5x² + 7x – 90 = 0
5x² + 25x – 18x – 90 = 0
5x (x + 5) – 18 (x + 5)= 0
(x + 5) (5x – 18) = 0
18
𝑥 = −5,
5
II. 3y² + 28y + 64 = 0
3y² + 12y + 16y + 64 = 0
3y (y + 4) + 16 (y + 4) = 0
(3y + 16) (y +4) = 0
3
8
623. Ans
I. x² – 13x – 17x + 221 = 0
x (x – 13) – 17 (x – 13) = 0
(x – 17) (x – 13) = 0
x = 13, 17
II. y² – 12y – 5y + 60 = 0
y (y – 12) – 5 (y – 12) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
462
@Crossword2022
(y – 5) (y – 12) = 0
y = 5, 12
⇒x>y
624. Ans
I. x² + 6x + 8 = 0
x² + 2x + 4x + 8 = 0
x (x + 2) + 4 (x + 2) = 0
(x + 4) (x + 2) = 0
x = –2, –4
II. 8y² + 22y + 15 = 0
8y² + 10y + 12y + 15 = 0
2y (4y + 5) +3(4y + 5) = 0
(2y + 3) (4y + 5) = 0
−3
5
𝑦= , −
2
(3x + 2) (12x – 4) = 0
–2 1
𝑥=
3
,
3
(ii)45y² + 36y + 15y + 12 = 0
9y (5y + 4) + 3 (5y + 4) = 0
(5y + 4) (9y + 3) = 0
y=
–4 –1
5
,
3
No relation
629. Ans
(i)x² – 28x – 12x + 336 = 0
x (x – 28) – 12 (x – 28) = 0
(x – 12) (x – 28) = 0
x = 12, 28
(ii)y² – 32y – 28y + 896 = 0
y (y – 32) – 28 (y – 32) = 0
(y – 32) (y – 28)
y = 28, 32
x≤y
630. Ans
x² = 800 + 721
x = ±39
y = √1521
y = 39
x≤y
631. Ans
16x – 15y = 22
(2x – 5y = 4)×3
(make y terms equal in both the equations
and on subtracbarrelg the II eqn from the I
⇒ 16x–15y = 22
6x–15y = 12
⇒ 10x = 10 ⇒ x = 1
Put x = 1 in eqn 2x–5y = 4
⇒ 2 × 1– 5y = 4
⇒ 5y = 2– 4 = – 2
2
⇒ y = −
5
𝑖. 𝑒. x > y
632. Ans
I. 4x2–7x–15=0
⇒ 4x2–12x+5x-15=0
⇒ 4x (x-3)+5(x-3)=0
⇒ (4x+5)(x-3)=0
5
x=- ; x=3
4
⇒x<y
625. Ans
I. x² – 20x + 96 = 0
x² – 8x – 12x + 96 = 0
x (x – 8) – 12 (x – 8) = 0
(x – 12) (x – 8) = 0
x = 12, 8
II. y² – 15y + 56 = 0
y² – 7y – 8y + 56 = 0
(y – 7) (y – 8) = 0
y = 7, 8 ⇒ x ≥ y
626. Ans
(i)x² = 1089 – 248
x² = 841
x = ± 29
(ii)y² + 33y + 29y + 957 = 0
y (y + 33) + 29 (y + 33) = 0
(y + 29) (y + 33) = 0
y = – 29, – 33
x≥y
627. Ans
(i)3x² – 24x – 21x + 168 = 0
3x (x – 8) – 21 (x – 8) = 0
(3x – 21) (x – 8) = 0
x = 7, 8
(ii)3y² – 21y – 18y + 126= 0
3y (y – 7) – 18 (y – 7) = 0
(y – 7) (3y – 18) = 0
y = 7, 6
x≥y
628. Ans
(i)36x² + 24x – 12x – 8 = 0
12x (3x + 2) – 4 (3x + 2) = 0
4
II. 33y =–(9y2+18)
⇒ 9y2+18+33y=0
⇒ 9y2+27y+6y+18=0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
463
@Crossword2022
⇒ (y+3)(9y+6)=0
−6
−2
y=–3 ; y= =
9
637. Ans
From I:
x2 + 7x – 198 = 0
x2 – 11x + 18x – 198 = 0
x(x – 11) + 18(x – 11) = 0
(x + 18)(x – 11) = 0
x = -18, 11
From II:
y2 + 38y + 361 = 0
y2 + 19y + 19y + 361 = 0
y(y + 19) + 19(y + 19) = 0
(y + 19)(y + 19) = 0
y = -19, -19 So, x > y.
638. Ans
From I:
x2– 31x + 228 = 0
x2 – 12x – 19x + 228 = 0
x(x – 12) – 19(x – 12) = 0
(x – 12)(x – 19) = 0
x = 12, 19
From II:
y2 – 30y + 224 = 0
y2 – 14y – 16y + 224 = 0
y(y – 14) – 16(y – 14) = 0
(y – 14)(y – 16) = 0
y = 14, 16
So, no relation can be established between x
and y.
639. Ans
I.√625𝑥 2 – 375 = 0
⇒ 625𝑥 2 = 3752 ⇒ x = ±15
II.√2116𝑦– 736 = 0 ⇒ 46y = 736
⇒ y = 16
y>x
640. Ans
From I, x 3 = 123 – 728
x3 = 1728 - 728
x = 10
From II, y 3 = 252 - 282
y3 = 625 – 282 = 343
y=7
Therefore, x > y.
641. Ans
From I:
x2 + 5x – 104 = 0
x2 + 13x – 8x – 104 = 0
x(x + 13) – 8(x + 13) = 0
3
Relationship can’t be established
633. Ans
3
5
I. x+ =
⇒
2𝑥
2
2𝑥 2 +3
5
2𝑥
=
2
4x2+6=10x
⇒
⇒ 4x2–10x+6=0
⇒ 4x2–4x–6x+6=0
⇒ (4x-6)(x-1)=0
⇓ ⇓
+3
x= x =1
2
II. 𝑦 2 = 9
y = – 3, + 3
no relation
634. Ans
I. x = √289
⇒ x = 17
II. y2 – 34y + 97 = –192
⇒ y2 – 34y + 289 = 0
⇒ (y – 17)2 ⇒ y = 17
I.e. x = y
635. Ans
2x2 + 20x + 50 = 0
⇒ x2 + 10x + 25 = 0
⇒ (x + 5)2 = 0
⇒ x = -5
II. y2 = 25
y=+5
I. e. x < y
636. Ans
From I:
x2 + 25x + 156 = 0
x2 + 13x + 12x + 156 = 0
x(x + 13) + 12(x + 13) = 0
(x + 13)(x + 12) = 0
x = -13, -12
From II:
y2 + 28y + 195 = 0
y2 + 15y + 13y + 195 = 0
y(y + 15) + 13(y + 15) = 0
(y + 15)(y + 13) = 0
y = -15, -13
So, y ≤ x.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
464
@Crossword2022
(x – 8)(x + 13) = 0
x = 8, -13
From I:
y2 – 20y + 96= 0
y2 – 12y – 8y + 96 = 0
y(y – 12) – 8(y – 12) = 0
(y – 8)(y – 12) = 0
y = 8, 12
So, x ≤ y.
642. Ans
From I, x 2 – 36 = 8(x – 6)
x2– 36 = 8x – 48
x2 – 8x + 12 = 0
x = 2, 6
From II, y 3 – 999 = 729
y3 = 1728
y = 12
So, y > x
643. Ans
(I) x2 = 121=> x = ±11
(II) y 3 = 729 => y = 9
When x = 11 and y = 9, so x > y
When x = -11 and y = 9, so x < y
Hence, relationship cannot be established.
644. Ans
(i) x² – 12x + 32 = 0
x² – 8x – 4x + 32 = 0
x (x – 8) – 4 (x – 8) = 0
(x – 8) (x – 4) = 0
x = 8, 4
(ii) y² – 20y + 96 = 0
y² – 12 y – 8y + 96 = 0
y(y – 12) – 8 (y – 12) = 0
(y – 8) (y – 12) = 0
y = 8, 12
y≥x
645. Ans
(i) 2x² – 3x – 20 = 0
2x² – 8x + 5x – 20 = 0
2x (x – 4) + 5(x – 4) = 0
(x – 4) (2x + 5) = 0
5
x = 4, –
–5
y = , –3
2
x≥y
646. Ans
(i) x² – x – 6 = 0
x² – 3x + 2x – 6 = 0
x (x – 3) +2 (x – 3) = 0
(x – 3) (x + 2) = 0
x = 3, –2
(ii) y² – 6y + 8 = 0
y² – 2y – 4y + 8 = 0
y (y – 2) – 4 (y – 2) = 0
(y – 2) (y – 4) = 0
y = 2, 4
No relation can be established between x and y
647. Ans
(i) x² + 14x - 32 = 0
x² + 16x -2x - 32 = 0
x (x +16) -2 (x +16) = 0
(x -2) (x + 16) = 0
x = –16, 2
(ii) y² – y – 12 = 0
y² – 4y + 3y – 12 = 0
y(y – 4) + 3(y – 4) = 0
(y + 3) ( y – 4) = 0
y = – 3, 4
No relation can be established between x and y
648. Ans
(i) x² – 9y + 20 = 0
x² – 5y – 4y + 20 = 0
x (x – 5) –4 (y – 5) = 0
(x – 4) (x – 5) = 0
x = 4, 5
(ii) 2y² – 12y + 18 = 0
2y² – 6y – 6y + 18 = 0
2y (y – 3) –6 (y – 3) =0
(2y – 6) (y – 3) = 0
y = 3, 3
x>y
649. Ans
𝑥=4
𝑦=3
∴𝑥>𝑦
650. Ans
𝑥 = 4, 1.8
𝑦 = −1.5, 1.8
∴𝑥≥𝑦
2
(ii) 2y² + 11y + 15 = 0
2y² + 6y + 5y + 15 = 0
2y (y + 3) + 5 (y + 3) =0
(2y + 5) (y + 3) =0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
465
@Crossword2022
651. Ans
656. Ans
I. 2x2 - 7x - 60 = 0
2x2 - 15x + 8x - 60 = 0
x (2x - 15 ) + 4 (2x - 15) = 0
(x + 4) (2x- 15) = 0
2
I. (√𝑥) = √6
or, 𝑥 = √6
3
II. 𝑦 3 = 62
or, 𝑦 = √6
∴ x=y
652. Ans
3𝑥 2 + 8𝑥 − 3𝑥 − 8 = 0
𝑥(3𝑥 + 8) − 1(3𝑥 + 8) = 0
−8
𝑥 = 1,
x  4
II. 3y: + 13y + 4 = 0
3y2 + 12y + y + 4 = 0
3y (y + 4) + 1 (y + 4) = 0
(3y + 1) (y + 4) = 0
3
𝑦 2 − 𝑦 − 3𝑦 + 3 = 0
𝑦(𝑦 − 1) − 3(𝑦 − 1) = 0
𝑦 = 1, 3
𝑥≤𝑦
653. Ans
On adding, 2𝑥 2 = 4232
Or, x = 46,-46
On subtracting, 2𝑦 2
= 2450
Or, y = 35,-35
No relation
654. Ans
I.x2-7x + 12 = 0
x2 - 4x - 3x + 1 2 = 0
(x- 4)(x - 3) = 0
x = 3,4
I I . y 2 - 8 y + 12 = 0
y2 - 6y - 2y + 12 = 0
(y - 6)(y - 2) = 0 y = 2,6
No relation can be established
655. Ans
I. 2x2 + x - 28 = 0
2x2 + 8x - 7x - 28 = 0
2x (x + 4) - 7 (x + 4) = 0
(2x - 7) (x + 4)= 0
x  4,
15
15
2
y
1
3
No relation between x and y
657. Ans
I. 6x² - 9x + 10x – 15 = 0
3x(2x - 3) + 5 (2x - 3) = 0
(3x + 5) (2x - 3) = 0
3 −5
𝑥= ,
2 3
II. 4y² - 24y + 35 = 0
4y² - 14y – 10y + 35 = 0
2y (2y - 7) – 5 (2y - 7) = 0
(2y - 7) (2y – 5) = 0
7 5
𝑦= ,
2 2
y>x
658. Ans
I. 5x² + 11x + 2 = 0
5x² + 10x + x + 2 = 0
5x(x + 2) + 1 (x+ 2) = 0
(x + 2) (5x+ 1) = 0
1
𝑥 = − 2, −
5
II. 6y² + 11y + 4 = 0
6y² + 8y + 3y + 4 = 0
2y (3y + 4) +1 (3y + 4) = 0
(3y + 4) (2y + 1) = 0
−4
1
𝑦=
, −
3
2
∴ no relation
659. Ans
I. 2x² - 23x + 56 = 0
2x²– 7x – 16x + 56 = 0
x(2x - 7) – 8 (2x – 7) = 0
(x - 8) (2x - 7) = 0
7
2
II. 2y2 - 23y + 56 = 0
2y2 - 1 6 y - 7 y + 56 = 0
2y(y - 8) - 7(y - 8) = 0
(2y-7)(y-8) = 0
7
y  4 ,8
2
y >x
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
466
@Crossword2022
7
2
II. 3y² - 14y + 15 = 0
3y² - 5y – 9y + 15 = 0
y(3y – 5) -3(3y -5)= 0
5
𝑦 = 3,
3
∴x>y
660. Ans
I. 7x + 2y = 12…(i)
II. 4x + 3y = 5…(ii)
Multiplying (i) by 3 and (ii) by 2 & solving
x = 2, y = -1
x>y
662. Ans
I. x² + 13x + 40 = 0
x² + 8x + 5x + 40 = 0
x(x + 8) +5(x + 8) = 0
(x + 8) (x + 5) = 0
x = -5, -8
II. y² + 17y + 72 = 0
y² + 8y + 9y + 72 = 0
y (y + 8) + 9 (y + 8) = 0
⇒ y = -8, -9
⇒ x≥y
663. Ans
8x² + 18x – 11 = 0
8x2 + 22x - 4x – 11 = 0
2x (4x + 11) – 1 (4x + 11) = 0
( 4x + 11) ( 2x – 1) = 0
11 1
x=- ,
y=8,9
x ≤y
665. Ans
2x² + 8x – 24 = 0
2x2 + 12x – 4x – 24 = 0
2x (x + 6) – 4(x + 6) = 0
(2x – 4) (x + 6) = 0
x=2,-6
y² + 13y + 42 = 0
y2 + 7y + 6y + 42 = 0
y ( y + 7) + 6(y + 7) = 0
(y + 7) (y + 6) = 0
y=-6,-7
x≥y
666. Ans
(i) 2x² – 15x + 22 = 0
2x2 - 11x – 4x + 22 = 0
x ( 2x – 11) – 2(2x – 11) = 0
(x – 2) (2x – 11) = 0
x = 2 , 5.5
(ii) 3y² – 21y + 18 = 0
3y2 – 18y – 3y + 18 = 0
3y (y – 6) – 3(y – 6)= 0
( 3y – 3) (y – 6) = 0
y = 1 , 6 No relation
667. Ans
x² – 30x + 144 = 0
x2 – 24x – 6x + 144 = 0
x (x – 24) – 6(x – 24) = 0
(x – 24) (x – 6) = 0
x = 24 , 6
(i) y² – 50y + 624 = 0
y2 – 24y - 26y + 624 = 0
y (y – 24) - 26 ( y - 24) = 0
(y – 24) (y – 26) = 0
y = 24 , 26
x ≤y
668. Ans
I.2x² – 25x + 72 = 0
2x² – 16x – 9x + 72 = 0
2x (x – 8) – 9 (x – 8) = 0
(2x-9)(x-8)= 0
9
x = 8,
𝑥 = 8,
4
2
4y² + 17y + 15 = 0
4y2 + 12y + 5y + 15 = 0
4y ( y + 3 ) + 5 ( y + 3) = 0
( y + 3) ( 4y + 5) = 0
5
y = -3 , −
4
No relation
664. Ans
3x 2 - 24x – 8x + 64 = 0
3x ( x – 8) - 8 (x – 8) = 0
( x – 8) (3x – 8) = 0
8
x=8,
2
3
II. 4y² – 12y – 27 = 0
4y² + 6y – 18y – 27 = 0
2y(2y + 3) – 9 (2y + 3) = 0
(2y-9)(2y+3)=0
−3 9
y= ,
x≥y
(ii)y² – 17y + 72 = 0
y2 – 8y – 9y + 72 = 0
y ( y – 8) – 9 ( y – 8) = 0
(y – 8) (y – 9) = 0
2
2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
467
@Crossword2022
669. AnsSol.
I. 5y2-32y+48=0
5y2-20y-12y+48=0
5y(y-4)-12(y-4)=0
(y-4)(5y-12)=0
12
y=4,
2𝑥 + 3𝑦 = 14 ………………..(I)
4𝑥 + 2𝑦 = 16 ………………..(II)
On, (I) × 2 – (II), we have
5
so x>y
673. Ans
I. x2+30x+209=0
x2+19x+11x+209=0
x(x+19)+11(x+19)=0
(x+11)(x+19)=0
x= -11,-19
y2+36y+320=0
y2+20y+16y+320=0
y(y+20)+16(y+20)=0
(y+16)(y+20)=0
y= -16,-20
So No relation
674. Ans
x2=169
x= ±13
y3=2197
y=13
So x≤y
675 . Ans
4x2+35x+75=0
4x2+20x+15x+75=0
4x(x+5)+15(x+5)=0
(4x+15)(x+5)=0
−15
x= -5,
4𝑥 + 6𝑦 − 4𝑥 − 2𝑦 = 28 − 16
⇒ 4𝑦 = 12 ⇒ 𝑦 = 3
From equation I,
2𝑥 + 3 × 3 = 14
5
⇒ 2𝑥 = 14 − 9 = 5 ⇒ 𝑥 = 2
So, 𝑥 < 𝑦
670 . Ans
I. 2x² + 11x – 195 = 0
2x² + 26x – 15x – 195 = 0
2x (x + 13) – 15 (x + 13) = 0
(2x-15)(x+13)=0
15
𝑥 = − 13,
2
II. 3y² + 10y – 125 = 0
3y² + 25y – 15y – 125 = 0
y(3y + 25) – 5 (3y+ 25) = 0
(y-5)(3y+25)=0
25
𝑦= −
,5
3
∴ Relation cannot be established.
671. Ans
𝐼. 𝑥 2 − 31𝑥 + 240 = 0
x2-15x-16x +240=0
x(x-15)- 16(x-15)=0
(x-16)(x-15)=0
x=16,15
II. y2-27y+180=0
y2-12y-15y+180=0
y(y-12)-15(y-12)=0
(y-12) (y-15)=0
y=12,15
So x≥y
672. Ans
I. 3𝑥 2 − 28𝑥 + 65 = 0
3x2-15x-13x+65=0
3x(x-5)- 13(x-5)=0
(3x-13)(x-5)=0
13
x=5,
4
6y2+78y+252=0
𝑦 2 + 13𝑦 + 42 = 0
𝑦 2 + 6𝑦 + 7𝑦 + 42 = 0
𝑦(𝑦 + 6) + 7(𝑦 + 6) = 0
(𝑦 + 7)(𝑦 + 6) = 0
y= -6,-7
so x>y
676. Ans
I. 2x2 + llx + 15 = 0
2x2 + 5x+ 6x + 15 = 0
x(2x + 5) + 3(2x + 5) = 0
(x + 3)(2x + 5) = 0
x
5
, 2
2
II. 2/ + 15y + 27 = 0
2y2 + 9y + 6y + 27 = 0
3
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
468
@Crossword2022
y = −9, 𝑥 = 38
x>y
681. Ans
4x² + 14x – 18 = 0
4x² + 18x – 4x – 18 = 0
2x(2x + 9) – 2(2x + 9) = 0
(2x -2) (2x + 9) = 0
9
x=1,-
y(2y+9)+3(2y + 9) = 0
(y+3)(2y + 9 ) = 0
9
y  , 3
2
x > y
677. Ans
I. x² - 40x + 384 = 0
x² - 24x – 16x + 384 = 0
𝑥(𝑥 − 24) − 16(𝑥 − 24) = 0
(𝑥 − 16)(𝑥 − 24) = 0
x = 24, 16
II. y² − 25y + 150 = 0
y² − 15y – 10y + 150 = 0
𝑦(𝑦 − 15) − 10(𝑦 − 15) = 0
(𝑦 − 10)(𝑦 − 15) = 0
y = 10, 15
𝑥> 𝑦
678. Ans
I. 3x² − 10x – 125 = 0
3x² − 25x + 15x – 125 = 0
𝑥(3𝑥 − 25) + 5(3𝑥 − 25) = 0
(𝑥 + 5)(3𝑥 − 25) = 0
25
𝑥=
, −5
3
II. y² - 21y + 108 = 0
y² − 9y − 12y + 108 = 0
𝑦(𝑦 − 9) − 12(𝑦 − 9) = 0
(𝑦 − 12)(𝑦 − 9) = 0
y = 12, 9
∴𝑥 <𝑦
679. Ans
I. 5x² + 33x + 54 = 0
5x² + 18x + 15x + 54 = 0
𝑥(5𝑥 + 18) + 3(5𝑥 + 18) = 0
(𝑥 + 3)(5𝑥 + 18) = 0
18
x= − , −3
2
y² + 12y + 35 = 0
y² + 7y + 5y + 35 = 0
y(y + 7) +5(y + 7) = 0
(y+5) (y+7) =0
y = - 5, - 7
x>y
682. Ans
4x² + 17x - 42 = 0
4x2 + 24x – 7x – 42 = 0
4x(x + 6) – 7(x + 6) = 0
(4x – 7) (x + 6) = 0
7
x= , −6
4
y² + 21y + 90 = 0
y2 + 15y + 6y + 90 = 0
y(y + 15) + 6(y + 15)= 0
(y + 6) (y + 15) = 0
y = - 6, - 15
x≥y
683. Ans
x² - 24x + 128 = 0
x2 – 16x – 8x + 128 = 0
x(x – 16) – 8(x – 16) = 0
(x – 8) (x -16) = 0
x = 8, 16
y² - 34y + 288 = 0
y2 – 18y – 16y + 288 = 0
y(y – 18) -16(y -18) = 0
(y -18) (y -16) = 0
y = 18, 16
x ≤y
684. Ans
8x² – 30x + 28 = 0
8x2 – 16x – 14x + 28 = 0
8x(x -2) – 14(x – 2) = 0
(8x – 14) (x -2) = 0
7
x= , 2
5
II. 3y² + 22y + 35 = 0
3y² + 15y + 7y + 35 = 0
3𝑦(𝑦 + 5) + 7(𝑦 + 5) = 0
(3𝑦 + 7)(𝑦 + 5) = 0
7
y = −5, −
3
∴ No relation can be established between x
and y
680. Ans
I. 2x + 7y = 13 ……….(i)
II. 6x + y = 219 ………..(ii)
Multiplying (i) by 3 and solving
4
5y² – 8y + 3 = 0
5y2 – 5y – 3y + 3= 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
469
@Crossword2022
5y(y -1) -3(y -1) = 0
(5y – 3) (y -1) = 0
3
y = 1 , x>y
so, x>y.
689. Ans
I.√7𝑥 2 − 6𝑥 − 13√7 = 0
⇒ √7𝑥 2 − 13𝑥 + 7𝑥 − 13√7 = 0
⇒√7𝑥 2 + 7𝑥 − 13𝑥 − 13√7 = 0
⇒√7𝑥(𝑥 + √7) − 13(𝑥 + √7) = 0
= (√7𝑥 − 13)(𝑥 + √7) = 0
5
685. Ans
9𝑥 2 − 9𝑥 − 6𝑥 + 6 = 0
9x(x – 1) – 6(x – 1) = 0
(x – 1 ) (9x – 6 ) = 0
2
x= , 1
𝑥=
3
2
(𝑖𝑖). 12𝑦 + 24𝑦 − 4𝑦 – 8 = 0
12y (y + 2) – 4 (y + 2) = 0
(12y – 4) (y + 2) = 0
1
y= , − 2
13
√7
, −√7.
II.y² – 9y – 36 = 0
y² –12y + 3y – 36 = 0
y(y – 12) +3 (y – 12) = 0
(y – 12) (y +3) = 0
y = 12, –3
So, no relation
690 . Ans
I.x² – 11x + 30 = 0
x² – 5x – 6x + 30 = 0
x(x – 5) –6 (x – 5) = 0
(x – 5) (x – 6) = 0
⇒ x = 5,6
3
x>y
686. Ans
I. 3x² + 5x + 2 = 0
3x² + 3x + 2x + 2 = 0
3x (x + 1) + 2 (x + 1) = 0
(x + 1) (3x + 2)⇒ x = –1, –2/3
II. 6y² – y – 2 = 0
6y² + 3y – 4y – 2 = 0
3y(2y + 1) – 2 (2y + 1) = 0
−1
(3y – 2) (2y + 1) ⇒ y = 2/3,
II.y² – 7y + 10 = 0
⇒ y² – 2y – 5y + 10 = 0
⇒ y(y – 2) –5 (y – 2) = 0
(y – 5) (y – 2) = 0
⇒ y = 2,5.
So, x≥ y.
691. Ans
I. 3x² – 19x + 28 = 0
3x² – 12x – 7x + 28 = 0
3x (x - 4) –7 (x - 4)= 0
7
x = 4,
2
So, y>x
687. Ans
3
I. 2𝑥 − = 5 ⇒ 2x²–3 = 5x
𝑥
⇒ 2x² – 5x – 3 = 0 ⇒ 2x² – 6x+ x – 3 = 0
⇒ 2x (x – 3) + 1 (x – 3) = 0
⇒ (x – 3) (2x + 1) = 0 ⇒ x = 3, –1/2
II. 𝑦 2 − 8𝑦 + 15 = 0
⇒𝑦 2 − 3𝑦 − 5𝑦 + 15 = 0
⇒𝑦(𝑦 − 3) − 5(𝑦 − 3) = 0
⇒(𝑦 − 3)(𝑦 − 5) = 0 ⇒𝑦 = 3, 5
So, y≥ 𝑥
688. Ans
I.√2𝑥 + 9 + 𝑥 = 13
⇒ √2𝑥 + 9 = 13 − 𝑥
⇒ 2x + 9 = (13 – x)²
⇒ 2x + 9 = 169 + x² – 26x
⇒𝑥 2 − 28𝑥 + 160 = 0
⇒ x² – 20x – 8x + 160 = 0
⇒ x (x– 20) – 8 (x –20) = 0
⇒ (x – 20 (x – 8) = 0
⇒ x = 8,20
II.y² = 16
y = ±4
3
II. 4y² - 19y + 21 = 0
4y² – 12y – 7y + 21 = 0
4y(y - 3) – 7 (y- 3) = 0
7
y =3,
4
Relation cannot establish
692. Ans
3x + 4y = 2…(i)
6x + 2y = 2.5…(ii)
Solving (i) & (ii)
1
1
𝑥= ,𝑦=
3
4
𝑥>𝑦
693. Ans
8x + 7y = –60…(i)
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
470
@Crossword2022
7x – 5y = –8..(ii)
On solving (i) & (ii)
We get x = –4,
y = –4
x=y
694. Ans
12x² - 41x + 35 = 0
12x² - 20x – 21x + 35 = 0
4x(3x - 5) – 7(3x – 5) = 0
5 7
𝑥= ,
3 4
II. 28y = 49
49
7
L𝑦 = =
28
y = 12, 15
So, no relation.
698. Ans
I. (x + 25)² = 729
(x + 25) = ± 27
x + 25 = 27
x=2
x + 25 = –27
x = –52
II. 3y² – 20y + 32 = 0
3y² – 12y – 8y + 32 = 0
3y (y – 4) – 8 (y – 4) = 0
(y – 4) (3y – 8) = 0
8
y = 4,
4
y≥x
695 . Ans
𝑥 2 + 16𝑥 + 63 = 0
𝑥 2 + 9𝑥 + 7𝑥 + 63 = 0
𝑥 = −7, − 9
𝑦 2 + 8𝑦 + 15 = 0
𝑦 2 + 5𝑦 + 3𝑦 + 15 = 0
𝑦 = −3, − 5
𝑥<𝑦
696. Ans
I. (x – 7)² = 3x – 23
x² –14x +49 = 3x – 23
x² – 17x + 72 = 0
x² – 9x – 8x + 72 = 0
x (x – 9) – 8 (x – 9) = 0
(x – 9) (x – 8) = 0
x = 8, 9
II. y² – 21y + 108 = 0
y² – 12y – 9y + 108 = 0
y (y – 12) – 9 (y – 12) = 0
(y – 12) (y – 9) = 0
y = 9, 12
So, x ≤ y.
697. Ans
I. x³ = 2744
3
x = √2744
x = 14
II. (y –10)² = 7y – 80
y² –20y +100 = 7y – 80
y² – 27y + 180 = 0
y² – 15y – 12y + 180 = 0
y (y – 15) –12 (y – 15) = 0
(y – 15) (y – 12) = 0
3
So, x < y.
699. Ans
I. 3x² – 26x + 35 = 0
3x² – 21x – 5x + 35 = 0
3x (x – 7) – 5 (x – 7) = 0
(x – 7) (3x – 5) = 0
5
x = 7,
3
II. 8y² – 26y + 21 = 0
8y² – 14y – 12y + 21 = 0
2y (4y – 7) – 3 (4y – 7) = 0
(4y – 7) (2y – 3) = 0
3 7
𝑦= ,
2 4
So, no relation
700. Ans
I. 3x² – 17x + 10 = 0
3x² – 15x – 2x + 10 = 0
3x (x – 5) – 2 (x – 5) = 0
(x – 5) (3x – 2) = 0
2
x = 5,
3
II. 16y² – 14y + 3 = 0
16y² – 8y – 6y + 3 = 0
8y (2y – 1) – 3 (2y – 1) = 0
(2y – 1) (8y – 3) = 0
1 3
𝑦 = , So, x > y
2 8
701. Ans
I. 𝑥 2 + 9𝑥 − 22 = 0
⇒ 𝑥 2 + 11𝑥 − 2𝑥 − 22 = 0
⇒ (𝑥 + 11)(𝑥 − 2) = 0
⇒ 𝑥 = −11,2
II. 2𝑦 2 − 7𝑦 + 6 = 0
⇒ 2𝑦 2 − 4𝑦 − 3𝑦 + 6 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
471
@Crossword2022
⇒ 2𝑦(𝑦 − 2) − 3(𝑦 − 2) = 0
⇒ (𝑦 − 2)(2𝑦 − 3) = 0
3
⇒ 𝑦 = 2,
𝑥 = −6,2
II. 2𝑦 2 + 7𝑦 + 6 = 0
2𝑦 2 + 4𝑦 + 3𝑦 + 6 = 0
2𝑦(𝑦 + 2) + 3(𝑦 + 2) = 0
3
𝑦 = −2, −
2
No relation
702. Ans
I. x2 – 13√2 x + 60 = 0
⇒ x2 – 10√2x – 3√2 x + 60 = 0
⇒ x(x – 10√2) – 3√2 (x – 10√2) = 0
⇒ (x – 3√2) (x – 10√2) = 0
x = 3√2, 10√2
II. y2 + 3√5 y – 20 = 0
⇒ y2 + 4√5 y – √5 y – 20 = 0
⇒ y(y + 4√5) – √5 (y + 4√5) = 0
⇒ (y – √5)(y + 4√5) = 0
⇒ y = – 4√5,√5
While comparing the root values of x and y,
we find that the x's root values are greater
than y's.
703. Ans
I. 2𝑦 2 − 13𝑦 − 34 = 0
2𝑦 2 − 17𝑦 + 4𝑦 − 34 = 0
𝑦(2𝑦 − 17) + 2(2𝑦 − 17) = 0
(2𝑦 − 17)(𝑦 + 2) = 0
17
𝑦= , −2
2
∴ No relation
706. Ans
I. 2𝑥 + 3𝑦 = 4
II. 4𝑥 + 5𝑦 = 6
Solving eq. (I) and (II)
(2𝑥 + 3𝑦 = 4) × 2
4𝑥 + 5𝑦 = 6
𝑦=2
Put 𝑦 = 2 in eq. (I)
2𝑥 + 6 = 4 ⇒ 𝑥 = −1
𝑦>𝑥
707. Ans
I. 35𝑥 2 − 12𝑥 + 1 = 0
⇒ 35𝑥 2 − 7𝑥 − 5𝑥 + 1 = 0
1
1
⇒ 7𝑥(5𝑥 − 1) − 1(5𝑥 − 1) = 0 ⇒ 𝑥 = 𝑜𝑟 .
5
II. 20 𝑦 2 − 14𝑦 + 2 = 0
⇒ 20𝑦 2 − 10𝑦 − 4𝑦 + 2 = 0
⇒ 10𝑦(2𝑦 − 1) − 2(2𝑦 − 1) = 0
1
1
⇒ 𝑦 = 𝑜𝑟
2
II. 3𝑥 2 − 11𝑥 − 20 = 0
3𝑥 2 − 15𝑥 + 4𝑥 − 20 = 0
3𝑥(𝑥 − 5) + 4(𝑥 − 5) = 0
(𝑥 − 5)(3𝑥 + 4) = 0
4
⇒ 𝑥 = 5. −
5
2
𝑦≥𝑥
708. Ans
I. 4𝑥 2 + 19𝑥 + 22 = 0
⇒ 4𝑥 2 + 8𝑥 + 11𝑥 + 22 = 0
⇒ 4𝑥(𝑥 + 2) + 11(𝑥 + 2) = 0
−11
⇒ 𝑥 = −2 𝑜𝑟
3
No relation
704. Ans
From I:
x2 – 31x + 184 = 0
x2 – 23x – 8x + 184 = 0
x(x – 23) – 8(x – 23) = 0
(x – 23)(x – 8) = 0
x = 23, 8
From II:
y2 – 49y + 600 = 0
y2 – 24y – 25y + 600 = 0
y(y – 24) – 25(y – 24) = 0
(y – 24)(y – 25) = 0
y = 24, 25
y>x
705. Ans
I. 𝑥 2 + 4𝑥 − 12 = 0
𝑥 2 + 6𝑥 − 2𝑥 − 12 = 0
4
II. 6𝑦 2 + 20𝑦 + 16 = 0
⇒ 6𝑦 2 + 12𝑦 + 8𝑦 + 16 = 0
⇒ 6𝑦(𝑦 + 2) + 8(𝑦 + 2) = 0
−4
⇒ 𝑦 = −2 𝑜𝑟
𝑦≥𝑥
3
709. Ans
I. 3𝑥 2 − 7𝑥 + 2 = 0
⇒ 3𝑥 2 − 6𝑥 − 𝑥 + 2 = 0
⇒ 3𝑥(𝑥 − 2) − 1(𝑥 − 2) = 0
1
⇒ 𝑥 = 2 𝑜𝑟
3
II. 4𝑦 2 − 29𝑦 + 45 = 0
⇒ 4𝑦 2 − 20𝑦 − 9𝑦 + 45 = 0
⇒ 4y (y – 5) – 9 (y – 5) = 0
9
y = 5 or
4
y>x
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
472
7
@Crossword2022
II. 𝑦 2 + 13𝑦 − 11𝑦 − 143 = 0
𝑦(𝑦 + 13) − 11(𝑦 + 13) = 0
(𝑦 + 13)(𝑦 − 11)
𝑦 = −13,11
So, no relation can be established between x
and y
716. Ans
I. 𝑥 2 − 12𝑥 − 8𝑥 + 96 = 0
𝑥(𝑥 − 12) − 8(𝑥 − 12) = 0
(𝑥 − 8)(𝑥 − 12) = 0
𝑥 = 8,12
II. 𝑦 2 − 16𝑦 − 12𝑦 + 192 = 0
𝑦(𝑦 − 16) − 12(𝑦 − 16) = 0
(𝑦 − 12)(𝑦 − 16) = 0
𝑦 = 12,16
𝑥≤𝑦
717. Ans
From I:
y = (5x – 60)/4
From II:
7x + 2y = 160
Or, 7x + 2{(5x – 60)/4} = 160
Or, 14x + 5x – 60 = 320
Or, 19x = 380
Or, x = 20
So, y = (5 × 20 – 60)/4 = 10
Therefore, x > y
718. Ans
From I:
15x2 + 40 = 125x
Or, 3x2 + 8 = 25x
Or, 3x2 – 25x + 8 = 0
Or, 3x2 – 24x – x + 8 = 0
Or, 3x(x – 8) – 1(x – 8) = 0
Or, (3x – 1)(x – 8) = 0
Or, x = 1/3 or x = 8
From II:
y2 = 64
Or, y = 8 or y = -8
So, no relation can be established between ‘x’
and ‘y’.
719. Ans
From I:
x2 + 9x + 20 = 0
Or, x2 + 5x + 4x + 20 = 0
Or, x(x + 5) + 4(x + 5) = 0
Or, (x + 4)(x + 5) = 0
710. Ans
2
I. 2𝑥 − 17𝑥 + 36 = 0
⇒ 2𝑥 2 − 8𝑥 − 9𝑥 + 36 = 0
⇒ 2𝑥(𝑥 − 4) − 9(𝑥 − 4) = 0
9
⇒ 𝑥 = 4 𝑜𝑟
2
II. 𝑦(𝑦 − 2) = 2(2 − 𝑦)
⇒ 𝑦 2 − 2𝑦 = 4 − 2𝑦
⇒ 𝑦 = ± 2.
𝑥>𝑦
711. Ans
I. 5𝑥 2 − 10 = 7𝑥 + 3𝑥 2 + 5
⇒ 2𝑥 2 − 7𝑥 − 15 = 0
⇒ 2𝑥 2 − 10𝑥 + 3𝑥 − 15 = 0
⇒ 2𝑥(𝑥 − 5) + 3(𝑥 − 5) = 0
−3
⇒ 𝑥 = 5 𝑜𝑟
2
II. 6𝑦 2 + 10𝑦 = 27𝑦 − 7
⇒ 6𝑦 2 − 17𝑦 + 7 = 0
⇒ 6𝑦 2 − 3𝑦 − 14𝑦 + 7 = 0
⇒ 3𝑦(2𝑦 − 1) − 7(2𝑦 − 1) = 0
1
+7
⇒ 𝑦 = 𝑜𝑟
2
3
∴ no relation can be established
712. Ans
I. 𝑥 = ±4
II. 𝑦 = +4
So 𝑥 ≤ 𝑦
713. Ans
I. 𝑥 2 + 23𝑥 + 132 = 0
𝑥 2 + 12𝑥 + 11𝑥 + 132
𝑥(𝑥 + 12) + 11(𝑥 + 12)
(𝑥 + 12)(𝑥 + 11)
𝑥 = −11, − 12
II. 𝑦 2 + 11𝑦 + 6𝑦 + 66 = 0
𝑦(𝑦 + 11) + 6(𝑦 + 11) = 0
(𝑦 + 11)(𝑦 + 6) = 0
𝑦 = −11, − 6
So, 𝑥 ≤ 𝑦
714. Ans
I. 𝑥 2 − 7𝑥 − 6𝑥 + 42 = 0
𝑥(𝑥 − 7) − 6(𝑥 − 7) = 0
(𝑥 − 6)(𝑥 − 7) = 0
𝑥 = 6,7
II. 𝑦 2 − 8𝑦 − 7𝑦 + 56 = 0
𝑦(𝑦 − 8) − 7(𝑦 − 8) = 0
(𝑦 − 8)(𝑦 − 7) = 0
𝑦 = 8,7
So 𝑥 ≤ 𝑦
715. Ans
I. 𝑥 = ±11
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
473
@Crossword2022
Or, x = -4 or x = -5
From II:
2y2 + 13y + 15 = 0
Or, 2y2 + 10y + 3y + 15 = 0
Or, 2y(y + 5) + 3(y + 5) = 0
Or, (2y + 3)(y + 5) = 0
Or, y = -5 or y = -3/2
So, no relation can be established between ‘x’ and
‘y’.
720. Ans
From I
4x2 – 17x + 15 = 0
Or, 4x2 – 12x -5x + 15 = 0
Or , 4x ( x-3 ) – 5( X-3) = 0
Or, ( 4x - 5 ) ( X – 3) = 0
Or, x = 5/4 or x = 3
From II
8y3 = 512
Or, y3 = 64
Or, y = 4
So, y > x
721. Ans
From I
3x2 + 33x = 180
Or, x2 + 11x = 60
Or, x2 + 11x -60 = 0
Or, x2 + 15x – 4x – 60 = 0
Or, x (x + 15) – 4 (x – 4) = 0
Or, (X + 15) (X – 4) = 0
Or, x = -15 or x = 4
From II,
4 y2 + 9y = 5y2 + 20
Or, y2 – 9y + 20 = 0
Or, y2 – 5y -4y + 20 = 0
Or, y (y – 5) – 4 (y – 5) = 0
Or, (y – 5) (y – 4) = 0
Or, y = 5 or y = 4
So, x ≤ y
722. Ans
I. 4𝑥 2 − 13𝑥 + 10 = 0
4𝑥 2 − 8𝑥 − 5𝑥 + 10 = 0
4𝑥(𝑥 − 2) − 5(𝑥 − 2) = 0
(4𝑥 − 5)(𝑥 − 2) = 0
5
𝑥= ,2
4
II. 4𝑦 2 − 21𝑦 + 27 = 0
4𝑦 2 − 12𝑦 − 9𝑦 + 27 = 0
4𝑦(𝑦 − 3) − 9(𝑦 − 3) = 0
(𝑦 − 3)(4𝑦 − 9) = 0
9
𝑦 = 3,
4
So, 𝑥 < 𝑦
723. Ans
I. 𝑥 2 + 15𝑥 + 56 = 0
𝑥 2 + 8𝑥 + 7𝑥 + 56 = 0
𝑥(𝑥 + 8) + 7(𝑥 + 8) = 0
(𝑥 + 8)(𝑥 + 7) = 0
𝑥 = −8, − 7
II. 𝑦 2 + 12𝑦 + 32 = 0
𝑦 2 + 8𝑦 + 4𝑦 + 32 = 0
𝑦(𝑦 + 8) + 4(𝑦 + 8) = 0
(𝑦 + 8)(𝑦 + 4) = 0
𝑦 = −8, − 4
So, no relation .
724. Ans
I. 3𝑥 2 + 20𝑥 + 32 = 0
3𝑥 2 + 8𝑥 + 12𝑥 + 32 = 0
𝑥(3𝑥 + 8) + 4(3𝑥 + 8) = 0
(𝑥 + 4)(3𝑥 + 8) = 0
8
𝑥 = −4, −
3
II. 3𝑦 2 + 34𝑦 + 96 = 0
3𝑦 2 + 18𝑦 + 16𝑦 + 96 = 0
3𝑦(𝑦 + 6) + 16(𝑦 + 6) = 0
(3𝑦 + 16)(𝑦 + 6) = 0
16
𝑦=− , −6
3
So 𝑥 > 𝑦
725 . Ans
I. 𝑥 2 + 6𝑥 + 8 = 0
𝑥 2 + 2𝑥 + 4𝑥 + 8 = 0
𝑥(𝑥 + 2) + 4(𝑥 + 2) = 0
(𝑥 + 4)(𝑥 + 2) = 0
𝑥 = −2, − 4
II. 𝑦 2 + 10𝑦 + 24 = 0
𝑦 2 + 6𝑦 + 4𝑦 + 24 = 0
𝑦(𝑦 + 6) + 4(𝑦 + 6) = 0
(𝑦 + 4)(𝑦 + 6) = 0
𝑦 = −4, − 6
So, 𝑥 ≥ 𝑦
726. Ans
I. 49𝑥 2 + 140𝑥 + 75 = 0
49𝑥 2 + 35𝑥 + 105𝑥 + 75 = 0
7𝑥(7𝑥 + 5) + 15(7𝑥 + 5) = 0
(7𝑥 + 15)(7𝑥 + 5) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
474
@Crossword2022
𝑥=−
15
7
, −
5
7
II. 3𝑦 2 + 10𝑦 + 8 = 0
3𝑦 2 + 6𝑦 + 4𝑦 + 8 = 0
3𝑦(𝑦 + 2) + 4(𝑦 + 2) = 0
(3𝑦 + 4)(𝑦 + 2) = 0
4
𝑦 = −2, −
3
So, no relation
727. Ans
I. 2x2 – 12x + 16 = 0
⇒ 2x2 – 4x – 8x + 16 = 0
⇒ 2x (x – 2) – 8 (x – 2) = 0
⇒ (2x – 8) (x – 2) = 0
x = 4, 2
II. y2 – 7y + 12 = 0
⇒ y2 – 4y – 3y + 12 = 0
⇒ y (y – 4) – 3 (y – 4) = 0
⇒ (y – 3) (y – 4) = 0
y = 4, 3
While comparing the root values of x and y, we
find that one root value of y is lies between the
value of x's root values. Hence, the relationship
between x and y can't be established.
728. Ans
I. x 2 − 9𝑥 − 10 = 0
x 2 − 10𝑥 + 𝑥 − 10 = 0
(x + 1)(x − 10) = 0
x − 1, 10
II. y 2 − 4𝑦 − 5 = 0
y 2 − 5𝑦 + 𝑦 − 5 = 0
(y + 1)(y − 5) = 0
y = −1, 5
Clearly no ralation can be established
729. Ans
I. x 2 + 7𝑥 + 10 = 0
x 2 + 5𝑥 + 2𝑥 + 10 = 0
(x + 5)(x + 2) = 0
x = −2, − 5
II. y 2 − 3𝑦 − 4 = 0
y 2 − 4𝑦 + 𝑦 − 4 = 0
(y + 1)(y − 4) = 0
y = −1, 4
clearly x < y
730. Ans
I. x 3 = 1728
x = 12
II. y 2 + 256 = 400
y 2 = 400 − 256]
= 144
y = ±2
Clearly x ≥ y
731. Ans
From II
y−4 =0
y=4
∴ putting value of y in 1
4x + 20 = 3
17
x=−
4
Clearly x < y
732. Ans
From I, x = ±6
From II, y=5
The value of y lies between the two values of
x. hence the relation can't be determined.
733. Ans
Solving eq I and II, we get x=12 and y=12
Hence x=y
734. Ans
From I,
8x2 - 121 = 31
=> 8x2 = 152
=> x = ±√19
From II,
18y = 234 => y = 13
Hence x<y
735. Ans
From I, (x+3)(x-4) = 0
=> x = -3, 4
From II, (y+3)(y+4) = 0
=> y = -3, -4
Hence x ≥ y
736. Ans
First equation is x2 + 5x + 6 = 0
or, x2 + 3x + 2x + 6= 0
or, x (x + 3) + 2(x + 3) = 0
or, (x + 3) (x + 2) = 0
x=-2,-3
Second equation is 4y2 + 5y - 6 = 0
or, 4y2 + 8y - 3y - 6 = 0
or, 4y(y + 2) - 3 (y + 2) = 0
or, (4y - 3) (y + 2) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
475
@Crossword2022
y = - 2,
3
⇒ 3𝑥 2 + 45x – 11x – 165 = 0
⇒ 3x(x + 15) – 11(x + 15) = 0
⇒ (3x – 11)(x + 15) = 0
⇒ x = -15 and 11/3
---- (1)
II. 2𝑦 2 – 27y + 81 = 0
⇒ 2𝑦 2 – 18y – 9y + 81 = 0
⇒ 2y(y – 9) – 9(y – 9) = 0
⇒ (2y – 9)(y – 9) = 0
⇒ y = 9/2 and 9
---- (2)
From (1) and (2)
∴x<y
741. Ans
I. 104𝑥 2 – 51x – 35 = 0
⇒ 104𝑥 2 – 91x + 40x – 35 = 0
⇒ 13x(8x – 7) + 5(8x – 7) = 0
⇒ (13x + 5) (8x – 7) = 0
⇒ x = -5/13 or x = 7/8
II. 88𝑦 2 + 27y – 91 = 0
⇒ 88𝑦 2 - 77y + 104y – 91 = 0
⇒ 11y(8y - 7) + 13(8y - 7) = 0
⇒ (11y + 13) (8y - 7) = 0
⇒ y = -13/11 or y = + 7/8
⇒ When x = 7/8, for y = - 13/11, x > y and
for y = +7/8, x = y
⇒ When x = -5/13, for y = - 13/11, x > y and
for y
= + 7/8, x > y
∴ If x = y or no relation can be established
742. Ans
⇒ I) 2𝑥 2 – x – 10 = 0
⇒ (x + 2) (2x – 5) = 0
⇒ x = -2, 5/2
⇒ II) 2y2 – y – 21 = 0
⇒ (y + 3) (2y – 7) = 0
⇒ y = -3, 7/2
⇒ For x = -2 and y = -3 ⇒ x > y
⇒ For x = -2 and y = 7/2 ⇒ x < y
⇒ For x = 5/2 and y = -3 ⇒ x > y
⇒ For x = 5/2 and y = 7/2 ⇒ x < y
∴ Relationship between x and y cannot be
determined
743. Ans
I. 4𝑥 2 + 3x - 27 = 0
⇒ 4𝑥 2 + 12x - 9x – 27 = 0
⇒ 4x(x + 3) –9(x + 3) = 0
⇒ (4x - 9)(x + 3) = 0
9
Then, x = + = + 2.25 or x = - 3
4
So, × ≤y
737. Ans
I. 5𝑥 2 - 32x + 48 = 0
⇒ 5𝑥 2 - 20x - 12x + 48 = 0
⇒ 5x(x - 4) - 12(x - 4) = 0
⇒ (x - 4)(5x - 12) = 0
⇒ x = 4, 12/5
II. 5𝑦 2 - 16y + 12 = 0
⇒ 5𝑦 2 - 10y - 6y + 12 = 0
⇒ 5y(y - 2) - 6(y - 2) = 0
⇒ (y - 2)(5y - 6) = 0
⇒ y = 2, 6/5
When x = 4, y = 2, then x > y
When x = 4, y = 6/5, then x > y
When x = 12/5, y = 2, then x > y
When x = 12/5, y = 6/5, then x > y
∴ x and y are related as x > y
738. Ans
I. 2𝑥 2 + 9√5x + 50 = 0
⇒ 2𝑥 2 + 4√5x + 5√5x + 50 = 0
⇒ 2x(x + 2√5) + 5√5 (x + 2√5) = 0
⇒ (x + 2√5) (2x + 5√5)
∴ x = -2√5, −5√5/2
II. 3𝑦 2 − 13√2y + 24 = 0
⇒ 3𝑦 2 − 9√2y − 4√2y + 24 = 0
⇒ 3y(y - 3√2) − 4√2 (y − 3√2) = 0
⇒ (y - 3√2) (3y − 4√2) = 0
∴ y = 3√2, 4√2/3
When x = -2√5, for y
= 3√2, x < y and for y = 4√2/3, x < y
When x = -5√5/2, for y
= 3√2, x < y and for y = 4√2/3, x < y
∴x<y
739. Ans
I. 𝑥 2 = 169 ⇒ x = √169 ⇒ x = 13, -13
II. 𝑦 2 - 30y + 221 = 0
⇒ 𝑦 2 - 13y - 17y + 221 = 0
⇒ y(y - 13) - 17(y - 13) = 0
⇒ (y - 13) (y - 17) = 0 ⇒ y = 13, 17
When x = 13, for y = 13 or 17, x ≤ y
When x = -13, for y = 13 or 17, x < y
∴x≤y
740. Ans
I. 3𝑥 2 + 34x – 165 = 0
4
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
476
@Crossword2022
II. 3𝑦 2 – 20y + 32 = 0
⇒ 3𝑦 2 – 12y - 8y + 32 = 0
⇒ 3y(y - 4) - 8(y - 4) = 0
⇒ (3y - 8)(y - 4) = 0
8
Then, y = + = + 2.66or y = + 4
Or, x2 + 5x – 24 = 0
Or, x2 + 8x – 3x – 24 = 0
Or, x(x + 8) – 3(x + 8) = 0
Or, (x – 3)(x + 8) = 0
Or, x = 3 or x = -8
From II:
3y3 = 192
Or, y3 = 64
Or, y = 4
So, y > x
747. Ans
From I:
x2 + 33x + 270 = 0
x2 + 15x + 18x + 270 = 0
x(x + 15) + 18(x + 15) = 0
(x + 18)(x + 15) = 0
x = -18, -15
From II:
y2 + 36y + 320 = 0
y2 + 20y + 16y + 320 = 0
y(y + 20) + 16(y + 20) = 0
(y + 20)(y + 16) = 0
y = -16, -20
No relation can be established between x and
y.
748. Ans
From I:
y2 – 15y + 56 = 0
y2 – 7y – 8y + 56 = 0
y(y – 7) – 8(y – 7) = 0
(y – 7)(y – 8) = 0
y = 7, 8
From II:
x2 – 21x = -108
x2 – 21x + 108 = 0
x2 – 12x – 9x + 108 = 0
x(x – 12) – 9(x – 12) = 0
(x – 12)(x – 9) = 0
x = 12, 9
So, x > y
749. Ans
I. 𝑥 2 − 26𝑥 + 168 = 0
𝑥 2 − 12𝑥 − 4𝑥 + 168 = 0
𝑥(𝑥 − 12) − 14(𝑥 − 12) = 0
(𝑥 − 12)(𝑥 − 14) = 0
𝑥 = 12, 14
II. 𝑦 2 − 29𝑦 + 208 = 0
𝑦 2 − 13𝑦 − 16𝑦 + 208 = 0
3
So, when x = + 2.25, x < y for y = + 2.66 and
x < y for y = + 4
And when x = - 3, x < y for y = + 2.66 and x <
y for y = + 4
∴ We can observe that x < y.
744. Ans
I. 𝑥 2 - 19x + 84 = 0
⇒ 𝑥 2 - 7x – 12x + 84 = 0
⇒ x(x –7) – 12(x – 7 ) = 0
⇒ (x – 12 ) (x – 7 ) = 0
Then, x = 12 or x = 7
II. 𝑦 2 - 25y + 156 = 0
⇒ 𝑦 2 - 13y - 12y + 156 = 0
⇒ y(y - 13) - 12(y - 13) = 0
⇒ (y - 12)(y – 13) = 0
Then, y = 12 or y = 13
So, when x = 12, x = y for y
= 12 and x < y for y
= 13
And when x = 7, x < y for y
= 12 and x < y for y = 13
∴ We can observe that x ≤ y.
745. Ans
From I:
2x – 5y = 30
2x = 30 + 5y
x = (30 + 5y)/2 = (15 + 2.5y)
From I:
3x – 4y = 17
3(15 + 2.5y) – 4y = 17
45 + 7.5y – 4y = 17
3.5y = -28
y = -8
Now,
x = (15 + 2.5y)
x = 15 + 2.5 × (-8)
x = 15 – 20
x = -5
So, x > y
746. Ans
From I:
4x2 + 20x = 96
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
477
@Crossword2022
(2𝑥 + 5)(3𝑥 + 5) = 0
5
5
𝑥=− , −
𝑦(𝑦 − 13) − 16(𝑦 − 13) = 0
(𝑦 − 13)(𝑦 − 16) = 0
𝑦 = 13 , 16
So no relation
750. Ans
From I:
x2 – 16x + 60 = 0
x2 – 10x – 6x + 60 = 0
x(x – 10) – 6(x – 10) = 0
(x – 10)(x – 6) = 0
x = 10, 6
From II:
y2 – 13y + 40 = 0
y2– 5y – 8y + 40 = 0
y(y – 5)– 8(y – 5) = 0
(y – 5)(y – 8) = 0
y = 5, 8
No relation
751. Ans
I. 𝑥 2 + 48𝑥 + 575 = 0
𝑥 2 + 23𝑥 + 25𝑥 + 575 = 0
𝑥(𝑥 + 23) + 25(𝑥 + 23) = 0
𝑥(𝑥 + 23)(𝑥 + 25) = 0
𝑥 = −23, − 25
II. 𝑦 2 + 44𝑦 + 483 = 0
𝑦 2 + 21𝑦 + 23𝑦 + 483 = 0
𝑦(𝑦 + 21) + 23(𝑦 + 21) = 0
(𝑦 + 21)(𝑦 + 23) = 0
𝑦 = −23, − 23
So 𝑥 ≤ 𝑦
752. Ans
I. 𝑥 2 − 14𝑥 + 48 = 0
𝑥 2 − 6𝑥 − 8𝑥 + 48 = 0
𝑥(𝑥 − 6) − 8(𝑥 − 6) = 0
(𝑥 − 6)(𝑥 − 8) = 0
𝑥 = 6, 8
II. 2𝑦 2 − 19𝑦 + 45 = 0
2𝑦 2 − 10𝑦 − 9𝑦 + 45 = 0
2𝑦(𝑦 − 5) − 9(𝑦 − 5) = 0
(𝑦 − 5)(2𝑦 − 9) = 0
9
𝑦 = 5,
2
So, 𝑥 > 𝑦
753. Ans
I . 6𝑥 2 + 25𝑥 + 25 = 0
6𝑥 2 + 15𝑥 + 10𝑥 + 25 = 0
3𝑥(2𝑥 + 5) + 5(2𝑥 + 5) = 0
3
2
2
3
II. 6𝑦 2 + 37𝑦 + 56 = 0
6𝑦 2 + 21 + 16𝑦 + 56 = 0
3𝑦(2𝑥 + 7) + 8(2𝑦 + 7) = 0
(2𝑦 + 7)(3𝑦 + 8) = 0
7
8
𝑦=− , −
So, 𝑥 > 𝑦
754. Ans
I. 6𝑥 2 − 23𝑥 + 22 = 0
6𝑥 2 − 12𝑥 − 11𝑥 + 22 = 0
6𝑥(𝑥 − 2) − 11(𝑥 − 2) = 0
(𝑥 − 2)(6𝑥 − 11) = 0
11
𝑥 = 2,
6
II. 5𝑦 2 − 24𝑦 + 28 = 0
5𝑦 2 − 14𝑦 − 10𝑦 + 28 = 0
𝑦(5𝑦 − 14) − 2(5𝑦 − 14) = 0
(5𝑦 − 14)(𝑦 − 2) = 0
14
𝑦 = 2,
5
So, 𝑥 ≤ 𝑦
755. Ans
I. 14𝑥 2 + 39𝑥 + 27 = 0
14𝑥 2 + 18𝑥 + 21𝑥 + 27 = 0
2𝑥(7𝑥 + 9) + 3(7𝑥 + 9) = 0
(7𝑥 + 9)(2𝑥 + 3) = 0
9
3
𝑥=− , −
7
2
II. 5𝑦 2 + 17𝑦 + 14 = 0
5𝑦 2 + 10𝑦 + 7𝑦 + 14 = 0
5𝑦(𝑦 + 2) + 7(𝑦 + 2) = 0
(𝑦 + 2)(5𝑦 + 7) = 0
7
𝑦 = −2, −
5
So, no relation between x and y
756. Ans
I. 𝑥 3 = 3375
𝑥 = 15
II. 𝑥 + 𝑦 + 𝑥𝑦 = 207…(i)
Putting value of x in (i)
𝑦 = 12
So, 𝑥 > 𝑦
757. Ans
I 2𝑥 2 + 10𝑥 + 12 = 0
2𝑥 2 + 6𝑥 + 4𝑥 + 12 = 0
(2𝑥 + 4)(𝑥 + 3) = 0
𝑥 = −3, − 2
II. 𝑦 2 + 10𝑦 + 25 = 0
𝑦 2 + 5𝑦 + 5𝑦 + 25 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
478
@Crossword2022
(𝑦 + 5)(𝑦 + 5) = 0
𝑦 = −5
∴𝑥>𝑦
758. Ans
I. 𝑥 2 − 3𝑥 − 2𝑥 + 6 = 0
(𝑥 − 3)(𝑥 − 2) = 0
𝑥 = +3, + 2
II. 𝑦 2 + 6𝑦 + 𝑦 + 6 = 0
(𝑦 + 1)(𝑦 + 6) = 0
𝑦 = −1, − 6
∴𝑥>𝑦
759. Ans
I. 𝑥 = ±25
II. 𝑦 = +25
∴𝑥≤𝑦
760. Ans
(I) × 2 − (II)
−6𝑦 + 2𝑦 = −16
𝑦=4
𝑥=6
𝑥>𝑦
761. Ans
I. 𝑥 = +11
𝑦 = +11
∴𝑥=𝑦
762. Ans
From I:
x2 + 28x + 195 = 0
x2 + 13x + 15x + 195 = 0
x(x + 13) + 15(x + 13) = 0
(x + 13)(x + 15) = 0
x = -13, -15
From II:
y2 + 23y + 132 = 0
y2 + 12y + 11y + 132 = 0
y(y + 12) + 11(y + 12) = 0
(y + 12)(y + 11) = 0
y = -12, -11
So, x < y.
763. Ans
From I:
16x2 + 42 + 8x = 46x + 21
Or, 16x2 – 38x + 21 = 0
Or, 16x2 – 24x – 14x + 21 = 0
Or, 8x(2x – 3) – 7(2x – 3) = 0
Or, (8x – 7)(2x – 3) = 0
Or, x = 7/8 or x = 3/2
From II:
125y3 = 37.5% of 4608
Or, 125y3 = 0.375 × 4608
Or, 125y3 = 1728
Or, y3 = 1728/125
Or, y = 12/5
So, y > x
764. Ans
From I:
x2 – 5√5x + 30 = 0
x2 – 2√5x – 3√5x + 30 = 0
x(x – 2√5) – 3√5(x – 2√5) = 0
(x – 2√5)(x – 3√5) = 0
x = 2√5, 3√5
From II:
x2 – 8√5x + 75 = 0
x2 – 3√5x – 5√5x + 75 = 0
x(x – 3√5) – 5√5(x – 3√5) = 0
(x – 3√5)(x – 5√5) = 0
x = 3√5, 5√5
So, y ≥ x.
765. Ans
From I:
x2–36x + 308 = 0
x2– 14x – 22x + 308 = 0
x(x –14) – 22(x – 14) = 0
(x – 14)(x – 22) = 0
x = 14, 22
From II:
y2 – 38y + 360 = 0
y2– 18y – 20y + 360 = 0
y(y – 18) – 20(y – 18) = 0
(y –18)(y – 20) = 0
y = 18, 20
So, no relation can be established between X
and Y.
766. Ans
From I:
x– 9√𝑥 + 20 = 0
x– 5√𝑥 – 4√𝑥 + 20 = 0
√𝑥 (√𝑥 – 5) – 4(√𝑥 – 5) = 0
(√𝑥 – 5)( √𝑥 – 4) = 0
√𝑥= 5, 4
x = 25, 16
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
479
@Crossword2022
From II:
y – 13√𝑦 + 42 = 0
y(y + 7) + 9(y + 7) = 0
(y + 7)(y + 9) = 0
y = -7, -9
So, relationship between x and y cannot be
established.
y – 7√𝑦 – 6√𝑦 + 42 = 0
√𝑦 (√𝑦 – 7) – 6(√𝑦 – 7) = 0
(√𝑦 – 7)( √𝑦 – 6) = 0
771. Ans
I. 𝑥 2 + 17𝑥 + 72 = 0
𝑥 2 + 8𝑥 + 9𝑥 + 72 = 0
𝑥(𝑥 + 8) + 9(𝑥 + 8) = 0
(𝑥 + 9)(𝑥 + 8) = 0
𝑥 = −8, − 9
II. 𝑦 2 + 13𝑦 + 42 = 0
𝑦 2 + 6𝑦 + 7𝑦 + 42 = 0
𝑦(𝑦 + 6) + 7(𝑦 + 6) = 0
(𝑦 + 6)(𝑦 + 7) = 0
So, 𝑥 < 𝑦
772. Ans
From I:
x2 - 22x + 120 = 0
x2-12x – 10x +120 = 0
x(x - 12) - 10(x -12) = 0
(x - 12) (x - 10) = 0
x = 12, 10
From II:
y2 - 3y - 88 = 0
y2-11y + 8y - 88 = 0
y(y - 11) +8 (y – 11) = 0
(y – 11) (y + 8) = 0
y = 11, -8
So, no relation can be established between x
and y.
773. Ans
From I:
x3 - 2197 = 0
x3 = 2197
x = 13
From II:
y2 - 121 = 0
y2 = 121
y = ± 11
So, x > y.
774. Ans
I . x2 −5𝑥 − 6𝑥 + 30 = 0
x(x −5) − 6(𝑥 − 5) = 0
(x −5) (𝑥 − 6) = 0
x = 5, 6
II . y2 −8𝑦 − 6𝑦 + 48 = 0
√𝑦 = 7, 6
y = 49, 36
So, x < y.
767. Ans
I. 𝑥 2 − 25𝑥 + 156 = 0
𝑥 2 − 12𝑥 − 13𝑥 + 156 = 0
𝑥(𝑥 − 12) − 13(𝑥 − 12) = 0
(𝑥 − 12)(𝑥 − 13) = 0
𝑥 = 12, 13
II. 𝑦 2 − 29𝑦 + 210 = 0
𝑦 2 − 14𝑦 − 15𝑦 + 210 = 0
𝑦(𝑦 − 14) − 15(𝑦 − 14) = 0
(𝑦 − 14)(𝑦 − 15) = 0
𝑦 = 14,15
768. Ans
I. 𝑥 2 = 196
𝑥 = √196
𝑥 = ±14
II. 𝑦 = √196
𝑦 = 14
So, 𝑥 ≤ 𝑦
769. Ans
I. 𝑥 2 + 12𝑥 + 35 = 0
𝑥 2 + 5𝑥 + 7𝑥 + 35 = 0
𝑥(𝑥 + 5) + 7(𝑥 + 5) = 0
(𝑥 + 5)(𝑥 + 7) = 0
𝑥 = −5, − 7
II. 𝑦 2 + 14𝑦 + 48 = 0
𝑦 2 + 6𝑦 + 8𝑦 + 48 = 0
𝑦(𝑦 + 6) + 8(𝑦 + 6) = 0
(𝑦 + 8)(𝑦 + 6) = 0
𝑦 = −8, − 6
So no relation
770. Ans
From I:
x3 = -512
x = -8
From II:
y2 + 16y + 63 = 0
y2 + 7y + 9y + 63 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
480
@Crossword2022
y(y −8) − 6(𝑦 − 8) = 0
(y −8) (𝑦 − 6) = 0
y = 8, 6
So, x ≤y
775. Ans
I. x² + 13x + 42 = 0
x² + 7x + 6x + 42 = 0
x (x + 7) +6 (x + 7) = 0
(x + 7) (x + 6) = 0
⇒ x = – 7, –6
II. y² + 8y + 12 = 0
y² + 6y + 2y + 12 = 0
y (y + 6) +2 (y + 6) = 0
(y + 6) (y + 2) = 0
⇒ y = –6, –2
So, y ≥ x.
776. Ans
From I:
5x2 + 120 = 4x2 + 20% of 725
x2 = 0.2 × 725 – 120
x2 = 145 – 120 = 25
x = 5, -5
From II:
4.5y = 27
y=6
So, x < y
777. Ans
(i) x² – 5x + 6 = 0
x² – 3x – 2x + 6 = 0
x (x – 3) – 2 (x – 3) = 0
(x – 2) (x – 3) = 0
x = 2, 3
(ii)y² – 14y + 45 = 0
y² – 9y – 5y + 45 = 0
y (y – 9) – 5 (y – 9) = 0
(y – 5) (y – 9) = 0
y = 5, 9
y>x
778. Ans
(i)x² – 4x – 21 = 0
x² – 7x +3x – 21 = 0
x (x – 7) + 3 (x – 7) = 0
(x + 3) (x – 7) = 0
x = – 3, 7
(ii)y² – 10y + 16 = 0
y² – 8y – 2y + 16 = 0
y (y – 8) – 2 (y – 8) = 0
(y – 2) (y – 8) = 0
y = 2, 8
No relation between x and y
779. Ans
(i)x² – 14x + 45 = 0
x² – 9x – 5x + 45 = 0
x (x – 9) – 5 (x – 9) = 0
(x – 5) (x – 9) = 0
x = 5, 9
(ii)2y² – 9y – 5 = 0
2y² – 10y + y – 5 = 0
2y (y – 5) + 1 (y – 5) = 0
(2y + 1) (y – 5) = 0
𝑦=
–1
2
,5
𝑥≥𝑦
780. Ans
I.
3x² + 5x + 2 = 0
⇒ 3x² + 3x + 2x + 2 = 0
⇒ 3x ( x + 1) + 2 (x + 1) = 0
⇒ (3x + 2) (x + 1) = 0
𝑥=
–2
3
, –1
II. 12y² + 11y + 2 = 0
⇒ 12y² + 8y + 3y + 2 = 0
⇒ 4y (3y + 2) + 1 (3y + 2) = 0
⇒ (4y + 1) (3y + 2) = 0
𝑦=
–1
4
,
–2
3
y≥x
781. Ans
From I, x 3 = 83 - 387
x3 = 512 – 387 = 125
x=5
From II, y= 192 - 353
y= 361 - 353 = 8
Therefore, y > x
782. Ans
From I:
x2 + 19x + 88 = 0
x2 + 8x + 11x + 88 = 0
x(x + 8) + 11(x + 8) = 0
(x + 8)(x + 11) = 0
x = -11 or -8
From II:
y2 + 24y + 143 = 0
y2 + 11y + 13y + 143 = 0
y(y + 11) + 13(y + 11) = 0
(y + 11)(y + 13) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
481
@Crossword2022
y = -13 or -11
Therefore, x ≥ y
783. Ans
I. √625𝑥 2 – 375 = 0
⇒ 625𝑥 2 = 3752 ⇒ x = ±15
II. √2116𝑦– 736 = 0
⇒ 46y = 736 ⇒ y = 16
y>x
784. Ans
x2 + 8x – 105 = 0
x2 + 15x - 7x – 105 = 0
x(x + 15) – 7(x + 15) = 0
(x – 7)(x + 15) = 0
x = 7, -15
From I:
y2 – 4y – 117 = 0
y2 + 9y – 13y – 117 = 0
y(y + 9) – 13(y + 9) = 0
(y + 9)(y – 13) = 0
y = 13, -9
So, No relation can be established between x
and y.
785. Ans
From I:
5x2 – 122 = 1136
Or, 5x2 = 1136 + 144 = 1280
Or, x2 = 256
Or, x = ±16
From II:
9y3 + 83 = 2456
Or, 9y3 = 2456 – 512 = 1944
Or, y3 = 216
Or, y = 6
So, no relation can be established between ‘x’
and ‘y’.
786. Ans
From I:
x2 + 3x – 54 = 0
x2 + 9x – 6x – 54 = 0
x(x + 9) – 6(x + 9) = 0
(x + 9)(x – 6) = 0
x = 6, -9
From II:
y2 + 7y – 60 = 0
y2 +12y – 5y – 60 = 0
y(y + 12) – 5(y + 12) = 0
(y + 12)(y – 5) = 0
y = 5, -12
So, no relation can be established between x
and y.
787. Ans
From I,
x3 – √361 = 43 + 42
x3 = 64 + 42 + 19
x3 = 125
x=5
From II,
y2 = 169
y = 13, -13
Hence, relationship cannot be established
788. Ans
From I, x 2 - 17x + 60 = 0
x2 – 5x - 12x + 60 = 0
x(x – 5) - 12(x – 5) = 0
(x – 5)(x - 12) = 0
x = 5, 12
From II, y 2 - 14y + 48 = 0
y2 - 6y - 8y + 48 = 0
y(y - 6) - 8(y - 6) = 0
(y - 6)(y - 8) = 0
y = 6, 8
Therefore, no relation can be established
between x and y.
789. Ans
From I, x 2 - 5x – 24 = 0
x2 – 8x + 3x – 24 = 0
x (x - 8) + 3(x - 8) = 0
(x + 3)(x - 8) = 0
x = -3, 8
From II, y 2 + 5y – 14 = 0
y2 + 7y – 2y – 14 = 0
y (y + 7) - 2(y + 7) = 0
(y - 2)(y + 7) = 0
y = -7, 2
Therefore, no relation can be established
between x and y
790. Ans
I.3x² = 125 – 2x²
5x² = 125
x² = 25
x = ±5
II. y² + 12y + 32 = 0
y² + 8y + 4y + 32 = 0
y (y + 8) + 4 (y + 8) = 0
(y + 4) (y + 8) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
482
@Crossword2022
y = –4, –8
No relation can be established between x & y
791 . Ans
From I:
35x2 + 120 = 145x
Or, 7x2 + 24 = 29x
Or, 7x2 – 29x + 24 = 0
Or, 7x2 – 21x – 8x + 24 = 0
Or, 7x(x – 3) – 8(x – 3) = 0
Or, (7x – 8)(x – 3) = 0
Or, x = 3 or x = 8/7
From II:
1875y2 = 432
Or, 625y2 = 144
Or, y2 = 144/625
Or, y = ±(12/25)
So, x > y
792. Ans
5 12
1
I. – 2 =
𝑥
𝑥
794. Ans
From I:
x3 - 2197 = 0
x3 = 2197
x = 13
From II:
y2 - 121 = 0
y2 = 121
y = ± 11
So, x > y.
795. Ans
(I) 2𝑥 4 × 𝑥 −2 + 10𝑥– 72 = 0
2𝑥 2 + 10𝑥 − 72 = 0
𝑥 2 + 5𝑥 − 36 = 0
𝑥 2 + 9𝑥 − 4𝑥 − 36 = 0
𝑥(𝑥 + 9) − 4(𝑥 + 9) = 0
x = – 9, 4
(II) 5𝑦 2 + 14𝑦 − 96 = 0
5𝑦 2 + 30𝑦 − 16𝑦 − 96 = 0
5𝑦(𝑦 + 6) − 16(𝑦 + 6) =0
16
y= , −6
2
5
Multiply by 2x²
10x – 24 = x²
⇒ x² – 10x + 24 = 0
⇒ x² – 6x – 4x + 24 = 0
⇒ x (x – 6) – 4 (x – 6) = 0
⇒ (x – 4) (x – 6) = 0
⇒ x = 4, 6
20
13
II. 2 + 2 =
𝑦
No relation can be established between x and y.
796. Ans
From I:
2x + 3y = 40
So, x = (40 – 3y)/2
From II:
3x + 4y = 56
Or, 3(40 – 3y)/2 + 4y = 56
Or, 3(40 – 3y) + 8y = 112
Or, 120 – 9y + 8y = 112
Or, y = 8
So, x = (40 – 3 × 8)/2 = 8
So, x = y
797. Ans
𝑦
Multiply by y²
2y² + 20 = 13y
⇒ 2y² – 13y + 20 = 0
⇒ 2y² – 8y – 5y + 20 = 0
⇒ 2y (y – 4) –5 (y – 4) = 0
⇒ (2y – 5) (y – 4) = 0
5
⇒y= ,4
2
x≥y
793. Ans
From equation I:
x2 -21x +68 = (x -4)(x -17)= 0
=> x = 4, 17
From equation II:
y2 +6y -40 = (y + 10)(y -4) = 0
=> y = -10, 4
So, x ≥ y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
483
@Crossword2022
798. Ans
x2 – 8x – 5x + 40 = 0
x(x – 8) – 5(x – 8) = 0
(x – 8)(x – 5) = 0
x = 8, 5
From II:
y2 – 21y + 104 = 0
y2 – 8y – 13y + 104 = 0
y(y – 8) – 13(y – 8) = 0
(y – 8)(y – 13) = 0
y = 8, 13
So, x ≤ y
804. Ans
From I:
44x² – 79x + 30 = 0
44x² – 55x – 24x + 30 = 0
11x (4x – 5) –6 (4x – 5) = 0
(4x – 5) (11x – 6) = 0
5 6
x= ,
799. Ans
4 11
From II:
15y² – 59y + 56 = 0
15y² – 35y – 24y + 56 = 0
5y (3y – 7) –8 (3y – 7) = 0
(3y – 7) (5y – 8) = 0
7 8
y= ,
3
5
So, y > x
805. Ans
(i) 33𝑥 2 − 49𝑥 + 18 = 0
⇒ 33𝑥 2 − 22𝑥 − 27𝑥 + 18 = 0
⇒ 11𝑥(3𝑥 − 2) − 9(3𝑥 − 2) = 0
⇒ (3𝑥 − 2)(11𝑥 − 9) = 0
2 9
⇒𝑥= ,
800. Ans
(I) 𝑥 2 + 27𝑥 − 25𝑥 − 675 = 0
𝑥(𝑥 + 27) − 25(𝑥 + 27) = 0
x = 25, – 27
(II) 𝑦 2 + 27𝑦 − 21𝑦 − 567 = 0
𝑦(𝑦 + 27) − 21(𝑦 + 27) = 0
y = 21, – 27
No relation can be established between x and
y.
801. Ans
x² – 31x + 234 = 0
x = 13, 18
y² – 34y + 285 = 0
y = 15, 19
802. Ans
x² – 44x + 448 = 0
x = 28, 16
y² – 28y + 195 = 0
y = 13, 15
803. Ans
From I:
x2 – 13x = -40
x2 – 13x + 40 = 0
3 11
(ii) 55𝑦 2 − 32𝑦 − 63 = 0
⇒ 55𝑦 2 − 77𝑦 + 45𝑦 − 63 = 0
⇒ 11y(5y – 7) + 9(5y – 7) = 0
⇒ (5y – 7) (11y + 9) = 0
7 −9
⇒y= ,
5 11
So, No relation
806. Ans
I. 81x² – 162x + 77 = 0
81x² – 99x – 63x + 77 = 0
9x (9x – 11) –7 (9x – 11) = 0
(9x – 11) (9x – 7) = 0
11 7
⇒x= ,
9
9
II. 27y²- 78y + 55 = 0
27y² – 45y – 33y + 55 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
484
@Crossword2022
9y (3y – 5) –11(3y – 5) = 0
(3y –5) (9y – 11) = 0
5 11
⇒y= ,
3
810. Ans
I. 37𝑥 2 – 49x – 186 = 0
⇒ 37𝑥 2 – 111x + 62x – 186 = 0
⇒ 37x (x – 3) + 62 (x – 3) = 0
⇒ (37x + 62) (x – 3) = 0
62
⇒ 𝑥 = − ,3
37
II. 60𝑦 2 – 326y – 22 = 0
⇒ 60𝑦 2 – 330y + 4y – 22 = 0
⇒ 30𝑦 2 – 165y + 2y – 11 = 0
⇒ 15y(2y – 11) + 1(2y – 11) = 0
⇒ (2y – 11)(15y + 1) = 0]
11
1
⇒𝑦= , −
2
15
Hence, relationship between x and y cannot be
determined.
811. Ans
I. 798𝑥 2 + 257x + 20 = 0
798𝑥 2 + 152x + 105x + 20 = 0
38x (21x + 4) + 5(21x + 4) = 0
(38x + 5)(21x + 4) = 0
5
4
𝑥 = − , − = −0.13, − 0.19
38
21
(approximately)
II. 1176𝑦 2 + 406y + 35 = 0
1176𝑦 2 + 210y + 196y + 35 = 0
42y(28y + 5) + 7(28y + 5) = 0
(42y + 7)(28y + 5) = 0
7
5
𝑦 = − , − = −0.17, − 0.18
42
28
(approximaterly) No relation
812. Ans
I. 𝑥 3 – 14 – 1714 = 0
𝑥 3 = 1728
x = 12
II. 3𝑦 2 – 63 – 300 = 0
3𝑦 2 = 363
𝑦 2 = 121
y = ± 11
Therefore, x > y
813. Ans
Equation I:
x2 – 100x/3 = 0
⇒ x(x – 100/3) = 0
⇒ x = 0 and 100/3 ---- (I)
Equation II
-y2 – 100y/3 = 0
⇒ y2 + 100y/3 = 0
⇒ y(y + 100/3) = 0
⇒ y = 0 and -100/3 ---- (II)
9
So, y ≥ x.
807. Ans
I. 56x² + 137x + 77 = 0
56x² + 88x + 49x + 77 = 0
8x (7x + 11) + 7 (7x + 11) = 0
(7x + 11) (8x + 7) = 0
−11 −7
⇒𝑥=
,
7
8
II. 56y² + 235y + 231 = 0
56y² + 147y + 88y + 231 = 0
7y (8y + 21) + 11 (8y + 21) = 0
(8y + 21) (7y + 11) = 0
21
11
⇒𝑦= − , −
8
7
So, x ≥ y
808. Ans
From I:
x3 = -125
x = -5
From II:
y2 + 16y + 63 = 0
y2 + 7y + 9y + 63 = 0
y(y + 7) + 9(y + 7) = 0
(y + 7)(y + 9) = 0
y = -7, -9
So, x > y
809. Ans
From I:
(x + 5)2 = 3x + 13
x2 + 10x + 25 = 3x + 13
x2 + 7x + 12 = 0
x2 + 3x + 4x + 12 = 0
x(x + 3) + 4(x + 3) = 0
(x + 4)(x + 3) = 0
x = -4, -3
From II:
(y + 4)2 = -(4 + y)
y2 + 8y + 16 = -(4 + y)
y2 + 9y + 20 = 0
y2 + 4y + 5y + 20 = 0
y(y + 4) + 5(y + 4) = 0
(y + 4)(y + 5) = 0
y = -4, -5
So, x ≥ y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
485
@Crossword2022
From (I) and (II)
⇒ When x = 0, x = y for y = 0 and x > y for y
= -100/3
⇒ When x = 100/3, x > y
∴x≥y
814. Ans
I. x2 – x/2 = 0 ⇒ 2x2 – x = 0
⇒ x(2x – 1) = 0
∴ x = 0 or x = ½
II. y3 = 1/8 ⇒ y = 1/2
When x = 0, x < y for y = ½
And when x = 1/2, x = y for y = ½
∴x≤y
815. Ans
I. 2x2 – 29x + 39 = 0
⇒ 2x2 – 26x – 3x + 39 = 0
⇒ 2x(x – 13) – 3(x – 13) = 0
⇒ (2x – 3)(x – 13) = 0
⇒ x = 3/2 and 13
---- (1)
II. y2 – 24y + 119 = 0
⇒ y2 – 17y – 7y + 19 = 0
⇒ y(y – 17) – 7(y – 17) = 0
⇒ (y – 7)(y – 17) = 0
⇒ y = 7 and 17 ---- (2)
From (1) and (2)
∴ No relation can be established between x
and y.
816. Ans
I. x2 - 39x + 378 = 0
⇒ x2 - 21x – 18x + 378 = 0
⇒ x(x - 21) –18 (x -21) = 0
⇒ (x -21)(x – 18) = 0
∴ x = 21 or x = 18
II. Y2 – 37y + 340 = 0
⇒ Y2 – 20y – 17y + 340 = 0
⇒ y(y -20) - 17(y - 20) = 0
⇒ (y - 20) (y - 17) = 0
⇒ y = 20 or y = 17
When x = 21, x > y for y
= 20 and x > y for y = 17
And when x = 18, x < y for y
= 20 and x > y for y = 17
∴ The relationship cannot be established.
817. Ans
I. 4x² – 11√7x + 49 = 0
⇒ 4x² – 11√7x + 49 = 0
⇒ 4x2 – 7√7x – 4√7x + 49 = 0
⇒ x(4x – 7√7) – √7 (4x – 7√7) = 0
⇒ (4x – 7√7) (x – √7) = 0
⇒ x = √7, x = 7√7/4
⇒ x = 2.64, x = (7 × 2.64)/4 (∵ √7 = 2.64)
⇒ x = 2.64, x = 4.62
II. y² – 4√17y + 68 = 0
⇒ y² – 4√17y + 68 = 0
⇒ y2 – 2√17y – 2√17y + 68 = 0
⇒ y(y – 2√17) – 2√17 (y – 2√17) = 0
⇒ (y – 2√17)(y – 2√17) = 0
⇒ y = 2√17, 2√17
⇒ y = 2√17= (2 × 4.12) = 8.24
⇒ y = 8.24, 8.24
∴x<y
818. Ans
From I, x 2 - 15x + 44 = 0
x2 – 4x - 11x + 44 = 0
x(x – 4) - 11(x – 4) = 0
(x – 4)(x - 11) = 0
x = 4, 11
From II, y 2 - 21y + 104 = 0
y2 - 13y - 8y + 104 = 0
y(y - 13) - 8(y - 13) = 0
(y - 13)(y - 8) = 0
y = 13, 8
So, y > x
819 Ans
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
486
@Crossword2022
−10
3
32
12
II. + 1 =
So, y ≥ x
820. Ans
From I:
15x2 – 26x + 8 = 0
15x2 – 6x – 20x + 8 = 0
3x(5x – 2) – 4(5x – 2) = 0
(5x – 2)(3x – 4) = 0
x = 2/5 or 4/3
From II:
15y2 + 2y – 1 = 0
15y2 – 3y + 5y – 1 = 0
3y(5y – 1) + 1(5y – 1) = 0
(5y – 1)(3y + 1) = 0
y = - 1/3 or 1/5
Therefore, x > y
821. Ans
From I:
x = √576
x = 24
From II:
y3 = 2197
y = 13
So, x > y.
822 Ans
I. √625𝑥 2 – 375 = 0
⇒ 625𝑥 2 = 3752 ⇒ x = ±15
II.√2116𝑦– 736 = 0
⇒ 46y = 736 ⇒ y = 16
y>x
823. Ans
(I) x2 = 31x + 516
=> x2 - 31x - 516 = 0
=> (x - 43)(x + 12) = 0
=> x = 43 or -12
⇒ 𝑥 = 2,
𝑦²
(II) y 3 = 1728
=> y = 12
When x = 43 and y = 12, so x > y
When x = -12 and y = 12, so x < y
Hence, relationship cannot be established.
824. Ans
20
4
I. = 3 +
𝑥²
𝑦
⇒ y² - 12y + 32 = 0
⇒ y² - 4y – 8y + 32 = 0
⇒ y(y – 4) – 8 (y – 4) = 0
⇒ (y – 8) (y - 4) = 0 ⇒ y = 8, 4
y>x
825. Ans
From I:
x2 – 25 = 0
x2 = 25
x = 5, -5
From II:
y3 = 216
y=6
So, x < y
826. Ans
I.(2x – 5)² = 9
(2x – 5) = ±3
2x – 5 = 3
x = 42x – 5 = –3
x=1
x = 1, 4
II.(3y + 4)² = 25
(3y + 4) = ±5
3y + 4 = 5
y = 1/3 3y + 4 = –5
y = –3
y = 1/3 , –3
x>y
827. Ans
I.32x+4 = 93x+4 . 27(x+1)
32x+4 = 36x+8 . 33x+3
⇒ 2x + 4 = 6x + 8 + 3x + 3
⇒ 7x = –7 ⇒ x = –1
II.
y2 +18
y
=9
⇒ y² – 9y + 18 = 0
⇒ y² – 3y – 6y + 18 = 0
⇒ y (y – 3) – 6 (y – 3) = 0
⇒ (y – 6) (y – 3) = 0
y = 6, 3
y>x
828. Ans
From I:
9x2 = 8x2 + 12x – 35
𝑥
⇒ 3x² + 4x – 20 = 0
⇒ 3x² + 10x – 6x – 20 = 0
⇒ x(3x +10) -2 (3x + 10)= 0
⇒ (x - 2) (3x + 10) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
487
@Crossword2022
x2 – 12x + 35 = 0
x2 – 5x – 7x + 35 = 0
x(x – 5) – 7(x – 5) = 0
(x – 5)(x – 7) = 0
x = 5, 7
From II:
3y2 = 192
y2 = 64
y = -8, 8
So, the relationship between x and y cannot be
established
829. Ans
From I, x 3 = 133 - 866
x3 = 2197 – 866 = 1331
x = 11
From II, y 3 = 431 + 92
y3 = 431 + 81 = 512
y=8
Therefore, x > y
830. Ans
I. 679X2 – 168X2 = 3066
511X2 = 3066
x2 = 6
x = 
(y + 21) (y + 23) = 0
y = –21, – 23
No relation can be established between x and y.
833. Ans
Quantity I:
44x² – 79x + 30 = 0
44x² – 55x – 24x + 30 = 0
11x (4x – 5) –6 (4x – 5) = 0
(4x – 5) (11x – 6) = 0
5 6
x= ,
4 11
Quantity II:
15y² – 59y + 56 = 0
15y² – 35y – 24y + 56 = 0
5y (3y – 7) –8 (3y – 7) = 0
(3y – 7) (5y – 8) = 0
7 8
y= ,
3
6
3 11
II. 144 y3 - 9y3 = 1536
12y3 — 9y3 = 1536
3y3 = 1536
y3 = 512 y = 8
Clearly, y > x
831. Ans
(I) 𝑥 2 + 27𝑥 − 25𝑥 − 675 = 0
𝑥(𝑥 + 27) − 25(𝑥 + 27) = 0
x = 25, – 27
(II) 𝑦 2 + 27𝑦 − 21𝑦 − 567 = 0
𝑦(𝑦 + 27) − 21(𝑦 + 27) = 0
y = 21, – 27
No relation can be established between x and y
832. Ans
I. 5x² + 663x + 396 = 0
5x² + 660x + 3x + 396 = 0
5x (x + 132) + 3 (x + 132) = 0
(5x + 3) (x + 132) = 0
x=
–3
5
5
So, Quantity
II > Quantity I.
834. Ans
(i) 33𝑥 2 − 49𝑥 + 18 = 0
⇒ 33𝑥 2 − 22𝑥 − 27𝑥 + 18 = 0
⇒ 11𝑥(3𝑥 − 2) − 9(3𝑥 − 2) = 0
⇒ (3𝑥 − 2)(11𝑥 − 9) = 0
2 9
⇒𝑥= ,
(ii) 55𝑦 2 − 32𝑦 − 63 = 0
⇒ 55𝑦 2 − 77𝑦 + 45𝑦 − 63 = 0
⇒ 11y(5y – 7) + 9(5y – 7) = 0
⇒ (5y – 7) (11y + 9) = 0
7 −9
⇒y= ,
5 11
So, No relation
835. Ans
I. 81x² – 162x + 77 = 0
81x² – 99x – 63x + 77 = 0
9x (9x – 11) –7 (9x – 11) = 0
(9x – 11) (9x – 7) = 0
11 7
⇒x= ,
9
9
II. 27y²- 78y + 55 = 0
27y² – 45y – 33y + 55 = 0
9y (3y – 5) –11(3y – 5) = 0
(3y –5) (9y – 11) = 0
5 11
⇒y= ,
3
, – 132
9
So, y ≥ x.
836. Ans
I. 56x² + 137x + 77 = 0
56x² + 88x + 49x + 77 = 0
II. y² + 44y + 483 = 0
y² + 21y + 23y + 483 = 0
y (y + 21) + 23 (y + 21) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
488
@Crossword2022
8x (7x + 11) + 7 (7x + 11) = 0
(7x + 11) (8x + 7) = 0
−11 −7
⇒𝑥=
,
7
Short cut:
(x + 7)2 = x + 7
(x + 7)2 – (x + 7) = 0
(x + 7)(x + 7 – 1) = 0
(x + 7)(x + 6) = 0
x = -7, -6
From II:
y2 – 4y = 45
y2 – 4y – 45 = 0
y2 + 5y – 9y – 45 = 0
y(y + 5) – 9(y + 5) = 0
(y + 5)(y – 9) = 0
y = -5, 9
So, x < y
840. Ans
From I:
(x + 7)2 = x + 7
x2 + 13x + 42 = 0
x2 + 7x + 6x + 42 = 0
x(x + 7) + 6(x + 7) = 0
(x + 7)(x + 6) = 0
x = -7, -6
Short cut:
(x + 7)2 = x + 7
(x + 7)2 – (x + 7) = 0
(x + 7)(x + 7 – 1) = 0
(x + 7)(x + 6) = 0
x = -7, -6
From II:
y2 – 4y = 45
y2 – 4y – 45 = 0
y2 + 5y – 9y – 45 = 0
y(y + 5) – 9(y + 5) = 0
(y + 5)(y – 9) = 0
y = -5, 9
So, x < y
841. Ans
From I:
x2 + 6x – 16 = 0
x2 + 8x – 2x – 16 = 0
x(x + 8) – 2(x + 8) = 0
(x + 8)(x – 2) = 0
x = 2, -8
From II:
y2 + y – 30 = 0
y2 + 6y – 5y – 30 = 0
y(y + 6) – 5(y + 6) = 0
8
II. 56y² + 235y + 231 = 0
56y² + 147y + 88y + 231 = 0
7y (8y + 21) + 11 (8y + 21) = 0
(8y + 21) (7y + 11) = 0
21
11
⇒ 𝑦 = − ,−
8
7
So, x ≥ y
837. Ans
I. 36x2 – 216x + 288 = 0
36x2 – 144x – 72x + 288 = 0
36x(x – 4) – 72(x – 4) = 0
(36x – 72)(x – 4) = 0
x = 2, 4
II. 156y2 – 1092y + 1560 = 0
156y2 – 312y – 780y + 1560 = 0
156y (y – 2) – 780 (y – 2) = 0
(156y – 780)(y – 2) = 0
y = 5, 2
∴ The relationship between x and y cannot be
established
838. Ans
I. 13x2 – 55x – 252 = 0
⇒ 13x2 – 91x + 36x – 252 = 0
⇒ 13x (x – 7) + 36 (x – 7) = 0
⇒ (13x + 36) (x – 7) = 0
x
36
,7
13
II. 148y2 + 61y – 155 = 0
⇒ 37y2 + 185y2 – 31y + 155 = 0
⇒ 37y(y + 5) – 31 (y + 5) = 0
⇒ (37y – 31)(y + 5) = 0
x
36
,5
13
Hence, relationship between x and y cannot be
determined.
839. Ans
From I:
(x + 7)2 = x + 7
x2 + 13x + 42 = 0
x2 + 7x + 6x + 42 = 0
x(x + 7) + 6(x + 7) = 0
(x + 7)(x + 6) = 0
x = -7, -6
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
489
@Crossword2022
(y + 6)(y – 5) = 0
y = -6, 5
So, relationship between x and y cannot be
established.
842. Ans
From I:
x2 + 15x + 54 = 0
x2 + 9x + 6x + 54 = 0
x(x + 9) + 6(x + 9) = 0
(x + 9)(x + 6) = 0
x = -9, -6
From II:
y2 + 20y + 99 = 0
y2 + 11y + 9y + 99 = 0
y(y + 11) + 9(y + 11) = 0
(y + 11)(y + 9) = 0
y = -11, -9
So, x ≥ y
843. Ans
From I:
x2 – 3x = 10
x2 – 3x – 10 = 0
x2 + 2x – 5x – 10 = 0
x(x + 2) – 5(x + 2) = 0
(x + 2)(x – 5) = 0
x = -2, 5
From II:
y2 – 14y + 45 = 0
y2 – 9y – 5y + 45 = 0
y(y – 9) – 5(y – 9) = 0
(y – 9)(y – 5) = 0
y = 9, 5
So, x ≤ y
844. Ans
Quantity I –
8x2−4𝑥 + 6𝑥 − 3 = 0
4x(2x −1) + 3(2𝑥 − 1) = 0
(4x + 3) (2x −1) = 0
1
3
x= ,−
2
4
So, another root = −
845. Ans
I. 6x² + 17x + 12 = 0
6x² + 8x+9x + 12 = 0
2x (3x + 4) + 3 (3x + 4) = 0
x=
4
?=
1728
27
12
=
,−
4
3
1
3
+ 46 + 15 = 5?
64 + 61 = 5?
5? = (5)3
?=3
846. Ans.
6x³. 5x = –180x³ ⇒ x⁴ = – 6x³
⇒ x⁴ + 6x³ = 0 ⇒ x³ (x + 6) = 0
⇒ x = 0, –6 ⇒ y²– 6y = 0
⇒ y (y – 6) = 0 ⇒ y = 0, 6
y≥x
Quantity II ≥ Quantity I
847. Ans
Possible Value of x which stisfy the equation
2x2 +3x – 6 < 0 is (0, 1, -1 & -2)
Quantity I – (0,1, -1, -2)
Possible Value of y which stisfy the equation
3y2 +16y – 18 < 0 is (0, 2, -3)
Quantity II – (-2, -3)
So quantity I > Quantity II
848. Ans
Possible Value of x which stisfy the equation
2x2 +3x – 6 < 0 is (0, 1, -1 & -2)
Quantity I – (0,1, -1, -2)
Possible Value of y which stisfy the equation
3y2 +16x – 18 < 0 is (0, 2, -3)
Quantity II – (-2, -3)
So quantity I > Quantity II
849. Ans
From I:
x3 = 1331
x = 11
From II:
y2 – 16y + 63 = 0
y2 – 7y – 9y + 63 = 0
y(y – 7) – 9(y – 7) = 0
(y – 7)(y – 9) = 0
y = 7, 9
So, x > y
850. Ans
From I:
3
4
3
3
93 +148−232
9
2
II. (12)³ × 3 + √2116 = 5? –15
Quantity II –
31
37
58
?= + − =?
?=
–3
12
3
4
So, Quantity II > Quantity I
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
490
@Crossword2022
√x = 3
x=9
From II:
(y – 2) = 9/(y – 2)
(y – 2)(y – 2) = 9
(y – 2)2 = 9
(y – 2) = 3 or (y – 2) = -3
y = -1, 5
So, x > y
From II:
y2 + 11y = 0
y(y + 11) = 0
y = 0, - 11
So, the relationship between x and y cannot be
established.
855. Ans
From I,
2x2 + 17x + 35 = 0
2x2 + 10x + 7x + 35 = 0
2x(x + 5) + 7(x + 5) = 0
(x + 5K2x + 7) = 0
851. Ans
From I:
x2 + x = 15 – x
x2 + 2x – 15 = 0
x2 + 5x – 3x – 15 = 0
x(x + 5) – 3(x + 5) = 0
(x + 5)(x – 3) = 0
x = -5, 3
From II:
y2 + 12y + 35 = 0
y2 + 5y + 7y + 35 = 0
y(y + 5) + 7(y + 5) = 0
(y + 5)(y + 7) = 0
y = -5, - 7
So, x ≥ y
852. Ans
x  5,
From II,
2y2 + y - 6 = 0
2y2 + 4y - 3y - 6 = 0
2y(y + 2) - 3(y + 2) = 0
(y + 2X2y - 3) = 0
y  2,
x=
16
3
2
856. Ans
From I,
x2 + 6x – 55 = 0
x2 + 11x – 5x – 55 = 0
x(x + 11) – 5(x + 11) = 0
(x + 11)(x – 5) = 0
x = -11, 5
From II,
y2 + 2y – 35 = 0
y2 + 7y – 5y – 35 = 0
y(y + 7) – 5(y + 7) = 0
(y – 5)(y + 7) = 0
y = -7, 5
857. Ans
From I,
x3- 7x + 12 = 0
x2-3x-4x + 12 = 0
x (x - 3) - 4(x - 3) = 0
(x-4Kx-3)-0
x = 4. 3
From II.
2y2 - 9y - 10 = 0
2y2 - 4y - 5y + 10 =0
2y(y - 2) - 5(y - 2) = 0
(y - 2K2y - 5) = 0
3
I. 5x =
7
2
√4096
5
5
x = 3.2
3
II. 6𝑦 = √9 × √729
3×9
y=
6
y = 4.5
x<y
853. Ans
(I) 24𝑦 2 + 24𝑦 − 4𝑦 − 4 = 0
24y (y+1) – 4(y+1) = 0
1
y = –1,
6
(II) 18𝑥 2 − 9𝑥 − 6𝑥 + 3 = 0
9x(2𝑥 − 1) − 3(2𝑥 − 1) = 0
1 1
x= ,
3 2
Quantity II > Quantity I
854. Ans
From I:
x2 = 144
x = -12, 12
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
491
@Crossword2022
y  2,
5
2
x2 – 13x + 42 = 0
x2 – 6x – 7x + 42 = 0
x(x – 6) – 7(x – 6) = 0
(x – 6)(x – 7) = 0
x = 6, 7
From II,
y2 – 9y + 20 = 0
y2 – 5y – 4y + 20 = 0
y(y – 5) – 4(y – 5) = 0
(y – 5)(y – 4) = 0
y = 5, 4
x>y
862. Ans
From I, x 2 - 13x + 42 = 0
x2 – 6x - 7x + 42 = 0
x(x – 6) - 7(x – 6) = 0
(x – 6)(x - 7) = 0
x = 6, 7
From II, y 2 - 17y + 70 = 0
y2 - 7y - 10y + 70 = 0
y(y - 7) - 10(y - 7) = 0
(y - 7)(y - 10) = 0
y = 7, 10
Therefore, x ≤ y
863. Ans
From I,
x2 – 26x + 169 = 0
x2 – 13x – 13x + 169 = 0
x(x – 13) – 13(x – 13) = 0
(x – 13)(x – 13) = 0
x = 13, 13
From II,
y2 = 169
y = 13 , -13
Therefore, x ≥ y
864. Ans
From I,
5x2 – 18x + 16 = 0
5x2 – 10x – 8x + 16 = 0
5x(x – 2) – 8(x – 2) = 0
(x – 2)(5x – 8) = 0
x = 2, 8/5
From II,
3y2 – 11y + 10 = 0
3y2 – 6y – 5y + 10 = 0
3y(y – 2) – 5(y – 2) = 0
(y – 2)(3y – 5) = 0
x>y
858. Ans
From I:
x2 = 9x – 14
=>x2 – 9x + 14 = 0
=>x2 – 2x – 7x + 14 = 0
=>x(x - 2) – 7(x - 2) = 0
=>(x - 2)(x - 7) = 0 =>x = 2, 7
From II:
y2 - 17y + 70 = 0
=>y2 - 7y - 10y + 70 = 0
=>y(y - 7) - 10(y - 7) = 0
=>(y - 7)(y - 10) = 0
=>y = 7, 10
So, x ≤ y
859. Ans
From I:
x2 = 14x – 48
=> x2 – 14x + 48 = 0
=> x2 – 8x – 6x + 48 = 0
=>x(x – 8) – 6(x – 8) = 0
=> (x – 8) (x – 6) = 0
=> x = 8, 6
From II:
y2 = 10y – 24
=> y2 – 10y + 24 = 0
=> y2 – 6y – 4y + 24 = 0
=>y(y – 6) – 4(y – 6) = 0
=> (y – 6)(y – 4) = 0
=> y = 6, 4
x>y
860. Ans
From I, x 2 - 12x + 32 = 0
x2 – 8x - 4x + 32 = 0
x(x – 8) - 4(x – 8) = 0
(x – 8)(x - 4) = 0
x = 8, 4
From II, y 2 - 18y + 81 = 0
y2 - 9y - 9y + 81 = 0
y(y - 9) - 9(y - 9) = 0
(y - 9)(y - 9) = 0
y = 9, 9
y>x
861. Ans
From I,
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
492
@Crossword2022
y = 2, 5/3
Therefore, no relation can be established
between x and y.
865. Ans
From I:
3x2 + 13x + 14 = 0
=> 3x2 + 6x + 7x + 14 = 0
=> 3x(x+2) + 7(x+2) = 0
=> (x+2)(3x+7) = 0
=> x = -2 or –7/3
From II:
6y2 + 11y + 3 = 0
=> 6y 2 + 9y + 2y + 3 = 0
=> 3y(2y+3) + (2y+3) = 0
=> (2y+3)(3y+1) = 0
=> y = -3/2 or -1/3
Therefore, x < y
866. Ans
From I:
x2 + 6x = 27
=>x2 + 6x - 27 = 0
=>x2 + 9x – 3x - 27 = 0
=>x(x + 9) – 3(x + 9) = 0
=>(x - 3)(x + 9) = 0
=>x = 3, -9
From II:
y2 - 10y + 21 = 0
=>y2 - 10y + 21 = 0
=>y2 - 3y - 7y + 21 = 0
=>y(y - 3) - 7(y - 3) = 0
=>(y - 3)(y - 7) = 0
=>y = 7, 3
So, x ≤ y
867. Ans
From I:
6x2 = 7x – 2
= 6x2 – 7x + 2 = 0
= 6x 2- 3x – 4x + 2 = 0
= 3x (2x – 1) – 2(2x – 1) = 0
= (3x – 2) ( 2x – 1) = 0
= x
= (3y + 4) (3y – 1) = 0
= y
4 1
,
3 3
x>y
868. Ans
From I ,
42x2 + 5x – 6 = 0
4x2 + 8x – 3x – 6 = 0
4x ( x + 2) – 3(3x + 2) = 0
(4x-3 (x + 2) = 0
3
x  , 2
4
From II, 3y 2 + 7y – 6 = 0
3y2 + 9y – 2y – 6 = 0
3y (y + 3) -2 (y + 3) = 0
(3y – 2 (y + 3) = 0
y = -3,
3
3
No relation
869. Ans
From I, x 2 - 15x + 54 = 0
x2 – 6x - 9x + 54 = 0
x(x – 6) - 9(x – 6) = 0
(x – 6)(x - 9) = 0
x = 6, 9
From II, y 2 - 9y + 18 = 0
y2 - 3y - 6y + 18 = 0
y(y - 3) - 6(y - 3) = 0
(y - 3)(y - 6) = 0
y = 3, 6
Therefore, x ≥ y
870. Ans
From equation I:
x2 +24x +44 = (x + 22)(x + 2)= 0
=> x = -22, -2
From equation II:
y2 +22y +40 = (y + 20)(y + 2) = 0 => y =
-20, -2
2 1
,
3 2
X = -22 X = -2
From II.
9y2 + 9y = 4
= 9y2 + 9y - 4 = 0
= 9y2 – 3y + 12y – 4 = 0
= 3y ( 3y – 1) + 4(3y – 1) = 0
Y = -20 x < y
x>y
Y = -2
x=y
x<y
So, relationship cannot be established
between x and y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
493
@Crossword2022
871. Ans
From I
35 x2 + 20 = 80x
Or, 7x2 + 4 = 16x
Or, 7x2 – 16x + 4 = 0
Or, 7x2 -14x – 2x + 4 = 0
Or, 7x (x – 2 ) – 2 ( x – 2 ) = 0
Or, (x- 2) (7x - 2) = 0
Or, x = 2/7 or x = 2
From II,
y2 = 16
Or, y = 4 or y = -4
X
Relation
Y
2/7
<
5
2/7
>
4
2
<
5
2
>
4
Y = 10
X = -9 X = -21
x<y
Y = -9 x = y
x<y
So, x ≤ y
873. Ans
From equation I:
x2 +13x -90 = (x + 18)(x -5)= 0
=> x = -18, 5
From equation II:
y2 -22y +120 = (y -12)(y -10) = 0
=> y = 12, 10
X = -18 X = 5
Y = 12
x<y
x<y
So, x < y
874. Ans
From I:
(x + 2) = 32
(x + 2) = 9
x=7
From II:
(y – 3)2 = 9
Either (y – 3)
= 3 or y – 3 = -3
y = 0, 6
So, x > y
875. Ans
(I) x2 + 21x + 104 = 0
=> (x + 8)(x + 13) = 0
=> x = -8 or -13
(II) y 2 - 10y - 119 = 0
=> (y - 17)(y + 7) = 0
=> y = 17 or -7
When x = -8 and y = 17, so x < y
When x = -8 and y = -7, so x < y
When x = -13 and y = 17, so x < y
When x = -13 and y = -7, so x < y
Hence, x < y
876. Ans
(I) x2 - 38x - 215 = 0
=> (x - 43)(x + 5) = 0
=> x = 43 or -5
(II) y 2 + 20y + 91 = 0
=> (y + 7)(y + 13) = 0
=> y = -7 or -13
When x = 43 and y = -7, so x > y
When x = 43 and y = -13, so x > y
When x = -5 and y = -7, so x > y
When x = -5 and y = -13, so x > y
Hence, x > y
877. Ans
(I) 2x2 - 35x + 143 = 0
=> (x - 11)(2x - 13) = 0
=> x = 11 or 6.5
(II) 2y 2 + 27y + 91 = 0
=> (2y + 13)(y + 7) = 0
=> y = -6.5 or -7
When x = 11 and y = -6.5, so x > y
When x = 11 and y = -7, so x > y
When x = 6.5 and y = -6.5, so x > y
So, no relation can be established between x
and y.
872. Ans
From equation I:
x2 +30x +189 = (x + 9)(x + 21)= 0
=> x = -9, -21
From equation II:
y2 -2y -99 = (y -11)(y + 9) = 0
=> y = 11, -9
Y = 11 x < y
x<y
x<y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
494
@Crossword2022
When x = 6.5 and y = -7, so x > y
Hence, x > y
878. Ans
(I) √x = 4 => x = 16
(II) y 2 = 256
=> y = ±16
When x = 16 and y = 16, so x = y
When x = 16 and y = -16, so x > y
Hence, x ≥ y
879. Ans
(I) x2 - 27x - 418 = 0
=> (x - 38)(x + 11) = 0
=> x = 38 or -11
(II) y 2 - 7y - 228 = 0
=> (y - 19)(y + 12) = 0
=> y = 19 or -12
When x = 38 and y = 19, so x > y
When x = 38 and y = -12, so x > y
When x = -11 and y = 19, so x < y
When x = -11 and y = -12, so x > y
Hence, relationship cannot be established.
880. Ans
(I) x2 = 9x + 442
=> x2 - 9x - 442 = 0
=> (x - 26)(x + 17) = 0
=> x = 26 or -17
(II) y 2 + 39y + 378 = 0
=> (y + 18)(y + 21) = 0
=> y = -18 or -21
When x = 26 and y = -18,
so x > y
When x = 26 and y = -21, so x > y
When x = -17 and y = -18, so x > y
When x = -17 and y = -21, so x > y
Hence, x > y
881. Ans
(I) 3x2 - 22x + 35 = 0
=> (3x - 7)(x - 5) = 0
=> x = 7/3 or 5
=> x = 2.3 or 5
(II) y 2 - 28y + 147 = 0
=> (y - 7)(y - 21) = 0
=> y = 7 or 21
When x = 2.3 and y = 7, so x < y
When x = 2.3 and y = 21, so x < y
When x = 5 and y = 7, so x < y
When x = 5 and y = 21, so x < y
Hence, x < y
882. Ans
(I) x2 + 37x + 252 = 0
=> (x + 9)(x + 28) = 0
=> x = -9 or -28
(II) y 2 - 22y - 203 = 0
=> (y + 7)(y - 29) = 0
=> y = -7 or 29
When x = -9 and y = -7, so x < y
When x = -9 and y = 29, so x < y
When x = -28 and y = -7, so x < y
When x = -28 and y = 29, so x < y
Hence, x < y
883. Ans
(I) x2 + 10x - 144 = 0
=> (x - 8)(x + 18) = 0
=> x = 8 or -18
(II) y 2 - 49y + 558 = 0
=> (y - 18)(y - 31) = 0
=> y = 18 or 31
When x = 8 and y = 18, so x < y
When x = 8 and y = 31, so x < y
When x = -18 and y = 18, so x < y
When x = -18 and y = 31, so x < y
Hence, x < y
884. Ans
(I) √x - 7 = 0
=> √x = 7
=> x = 49
(II) y 2 - 41y - 392 = 0
=> (y + 8)(y - 49) = 0
=> y = -8 or 49
When x = 49 and y = -8, so x > y
When x = 49 and y = 49, so x = y
Hence, x ≥ y
885. Ans
(I) x2 = 256
=> x = ±16
(II) √y = 4
=> y = 16
When x = 16 and y = 16, x = y
When x = -16 and y = 16, x < y
Hence, x ≤ y
886. Ans
(I) x2 - 11x - 276 = 0
=> (x - 23)(x + 12) = 0
=> x = 23 or -12
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
495
@Crossword2022
(II) y 2 + 1320 = 74y
=> y2 - 74y + 1320 = 0
=> (y - 44)(y - 30) = 0
=> y = 44 or 30
When x = 23 and y = 44, x < y
When x = 23 and y = 30, x < y
When x = -12 and y = 44, x < y
When x = -12 and y = 30, x < y
Hence, x < y
887. Ans
(I) x2 - 39x + 368 = 0
=> (x - 16)(x - 23) = 0
=> x = 16 or 23
(II) y 2 - 29y + 208 = 0
=> (y - 16)(y - 13) = 0
=> y = 16 or 13
When x = 16 and y = 16, x = y
When x = 16 and y = 13, x > y
When x = 23 and y = 16, x > y
When x = 23 and y = 13, x > y
Hence, x ≥ y
888. Ans
(I) x2 - 14x - 351 = 0
=> (x - 27)(x + 13) = 0
=> x = 27 or -13
(II) y 2 + 28y + 195 = 0
=> (y + 13)(y + 15) = 0
=> y = -13 or -15
When x = 27 and y = -13, x > y
When x = 27 and y = -15, x > y
When x = -13 and y = -13, x = y
When x = -13 and y = -15, x > y
Hence, x ≥ y
889. Ans
(I) √x - 4 = 0 => √x = 4 => x = 16
(II) y 2 - 37y + 336 = 0
=> (y - 21)(y - 16) = 0
=> y = 21 or 16
When x = 16 and y = 21, x < y
When x = 16 and y = 16, x = y
Hence, x ≤ y
890. Ans
From I:
12x2 + 43x + 35 = 0
12x2 + 28x + 15x + 35 = 0
(4x + 5)(3x + 7) = 0
x = -5/4, -7/3
x = -1.25, -2.33
From II:
14y2 + 41y + 30 = 0
14y2 + 20y + 21y + 30 = 0
(2y + 3)(7y + 10) = 0
y = -3/2, -10/7
y = -1.5, -1.43
So, x = y or no relation can be obtained
between x and y.
891. Ans
(I) x2 - 31x + 228 = 0
=> (x - 19)(x - 12) = 0
=> x = 19 or 12
(II) y 2 - 39y + 360 = 0
=> (y - 15)(y - 24) = 0
=> y = 15 or 24
When x = 19 and y = 15, so x > y
When x = 19 and y = 24, so x < y
When x = 12 and y = 15, so x < y
When x = 12 and y = 24, so x < y
Hence, relationship cannot be established.
892. Ans
(I) 2x2 - 29x + 95 = 0
=> (2x - 19)(x - 5) = 0
=> x = 19/2 or 5
=>x = 9.5 or 5
(II) y 2 = 49y - 528
=> y2 - 49y + 528 = 0
=> (y - 16)(y - 33) = 0
=> y = 16 or 33
When x = 9.5 and y = 16, so x < y
When x = 9.5 and y = 33, so x < y
When x = 5 and y = 16, so x < y
When x = 5 and y = 33, so x < y
Hence, x < y
893. Ans
4 (x2 - 1) - (x + 1) = 0
4x2 - 4 - x - 1 = 0
4x2 - x - 5 = 0
4x2 - 5x + 4x - 5 = 0
x (4x - 5) + 1 (4x - 5) = 0
(4x - 5) (x + 1) = 0
x = 5/4 and - 1
y2 + 3y + 2 = 0
y2 + 2y + y + 2 = 0
y (y + 2) + 1 (y + 2) = 0
(y + 2) (y + 1) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
496
@Crossword2022
y = - 2 and - 1
y2 + 7y – 198 = 0
y2 + 18y – 11y – 198 = 0
y(y + 18) – 11(y + 18) = 0
(y + 18)(y – 11) = 0
y = -18, 11
Value of 'x' Relationship Value of 'y'
-1
=
-1
-1
>
-2
5/4
>
-1
5/4
>
-2
Hence, x ≥ y
894. Ans
From I:
5x2 + 15x = 4x2 + 29x – 24
Or, x2 – 14x + 24 = 0
Or, x2 – 12x – 2x + 24 = 0
Or, x(x – 12) – 2(x – 12) = 0
Or, (x – 2)(x – 12) = 0
Or, x = 2 or x = 12
From II:
y3 – 10y = 90y
Or, y3 – 100y = 0
Or, y(y2 – 100) = 0
Or, y = 0 or y2 = 100
Or, y = 0 or y = ±10
X
Relation
Y
18
>
-18
18
>
11
11
>
-18
11
=
11
So x ≥ y
896. Ans
From I:
x2 + 25x + 126 = 0
x2 + 18x + 7x + 126 = 0
x(x + 18) + 7(x + 18) = 0
(x + 18)(x + 7) = 0
x = -18, -7
From II:
y2 + 27y + 180 = 0
y2 + 12y + 15y + 180 = 0
y(y + 12) + 15(y + 12) = 0
(y + 12)(y + 15) = 0
y = -12, -15
X
Relation
Y
2
>
0
2
<
10
X
Relation
Y
2
>
-10
-18
<
-12
12
>
0
-18
<
-15
12
>
10
-7
>
-12
12
>
-10
-7
>
-15
So, no relation can be established between ‘x’
and ‘y’.
895. Ans
From I:
x2 – 29x + 198 = 0
x2– 18x – 11x + 198 = 0
x(x – 18) – 11(x – 18) = 0
(x – 18)(x – 11) = 0
x = 18, 11
From II:
So, no relation can be established between x
and y.
897. Ans
From I:
x2 – 9x + 14 = 0
Or, x2 – 7x – 2x + 14 = 0
Or, x(x – 7) – 2(x – 7) = 0
Or, (x – 2)(x – 7) = 0
Or, x = 2 or x = 7
From II:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
497
@Crossword2022
y3 – 1152 = 242
y3 – 1152 = 576
y3 = 1728
y = 12
X
Relation
Y
-13
<
-12
X
Relation
Y
-13
>
-14
2
<
12
-15
<
-12
7
<
12
-15
<
-14
So, no relation can be established between x
and y.
900. Ans
From I:
x3 – 107x = 37x
Or, x3 – 144x = 0
Or, x(x2 – 144) = 0
Or, x = 0 or x = ±12
From II:
y2 + 242 = 96 + 262
Or, y2 = 96 + 676 – 576 = 196
Or, y = ±14
So, y > x
898. Ans
From I:
x2 – 24x + 128 = 0
x2 - 8x – 16x + 128 = 0
x(x – 8) – 16(x – 8) = 0
(x – 8)(x – 16) = 0
x = 8, 16
From II:
y2 + 7y – 120 = 0
y2 + 15y – 8y – 120 = 0
y(y + 15) – 8(y + 15) = 0
(y + 15)(y – 8) = 0
y = -15, 8
X
Relation
Y
0
<
14
X
Relation
Y
0
>
-14
8
=
8
12
<
14
8
>
-15
12
>
-14
16
>
8
-12
<
14
16
>
-15
-12
>
-14
So, no relation can be established between ‘x’
and ‘y’.
901. Ans
From I:
x3 = 64x
Or, x3 – 64x = 0
Or, x(x2 – 64) = 0
Or, x = 0 or x2 = 64
Or, x = 0 or x = 8 or x = -8
From II:
3y2 – 10y + 4 = 8y2 + 9y
Or, 5y2 + 19y – 4 = 0
Or, 5y2 + 20y – y – 4 = 0
Or, 5y(y + 4) – 1(y + 4) = 0
So, x ≥ y
899. Ans
From I:
x2 + 28x + 195 = 0
x2 + 13x + 15x + 195 = 0
x(x + 13) + 15(x + 13) = 0
(x + 13)(x + 15) = 0
x = -13, -15
From II:
y2 + 26y + 168 = 0
y2 + 12y + 14y + 168 = 0
y(y + 12) + 14(y + 12) = 0
(y + 12)(y + 14) = 0
y = -12, -14
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
498
@Crossword2022
Or, (5y – 1)(y + 4) = 0
Or, y = 1/5 or y = -4
X
Relation
Y
0
<
1/5
0
>
-4
8
>
1/5
8
>
-4
-8
<
1/5
-8
<
-4
y2 – y – 132 = 0
y2 – 12y + 11y – 132 = 0
y(y – 12) + 11(y – 12) = 0
(y – 12)(y + 11) = 0
y = -11, 12
Relation
y
8
=
8
8
>
-7
9
>
8
9
>
-7
Relation
y
-12
<
12
-12
<
-11
-13
<
12
-13
<
-11
So, x < y
904. Ans
From I:
5x + 3y = 40
5x = 40 – 3y
x = (40 – 3y)/5
From II:
4x – y = 15
4 × {(40 – 3y)/5} – y = 15
160 – 12y – 5y = 75
17y = 85
y=5
Now x = {40 – 5 × 3}/5
x = 25/5
x=5
So x = y
905. Ans
From I:
x2 – 32.5 × 8x = 25% of 560 of x
Or, x2 – 260x = 0.25 × 560 × x
Or, x2 – 260x = 140x
Or, x2 – 400x = 0
Or, x(x – 400) = 0
Or, x = 0 or x = 400
From II:
y2 = 62.5% of 640
Or, y2 = 0.625 × 640 = 400
Or, y2 = 400
Or, y = ±20
So, no relation can be established between ‘x’
and ‘y’.
902. Ans
From I:
x2 – 17x + 72 = 0
x2 – 8x – 9x + 72 = 0
x(x – 8) – 9(x – 8) = 0
(x – 8)(x – 9) = 0
x = 8, 9
From II:
y2 – y – 56 = 0
y2 – 8y + 7y – 56 = 0
y(y – 8) + 7(y – 8) = 0
(y + 7)(y – 8) = 0
y = 8, -7
x
X
So, x ≥ y
903. Ans
From I:
x2 + 25x + 156 = 0
x2 + 13x + 12x + 156 = 0
x(x + 13) + 12(x + 13) = 0
(x + 13)(x + 12) = 0
x = -12, -13
From II:
X
Relation
Y
0
<
20
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
499
@Crossword2022
0
>
-20
8
<
17
400
>
20
8
<
9
400
>
-20
-15
<
17
906. Ans
From I:
20x2 + 560 = 220x
Or, x2 + 28 = 11x
Or, x2 – 11x + 28 = 0
Or, x2 – 4x – 7x + 28 = 0
Or, x(x – 4) – 7(x – 4) = 0
Or, (x – 7)(x – 4) = 0
Or, x = 4 or x = 7
From II:
40y2 + 112 = 136y
Or, 5y2 + 14 = 17y
Or, 5y2 – 17y + 14 = 0
Or, 5y2 – 10y – 7y + 14 = 0
Or, 5y(y – 2) – 7(y – 2) = 0
Or, (5y – 7)(y – 2) = 0
Or, y = 7/5 or y = 2
-15
<
9
X
Relation
Y
4
>
7/5
4
>
2
7
>
7/5
7
>
2
Therefore, x < y.
908. Ans
From I:
x2 + 24x + 135 = 0
x2 + 9x + 15x + 135 = 0
x(x + 9) + 15(x + 9) = 0
(x + 9)(x + 15) = 0
x = -9, -15
From II:
y2 + 8y – 48 = 0
y2 + 12y – 4y – 48 = 0
y(y + 12) – 4(y + 12)= 0
(y + 12)(y – 4) = 0
y = -12, 4
Relation
Relation
Y
-9
>
-12
-9
<
4
-15
<
-12
-15
<
4
Therefore, no relation can be established between
x and y.
909. Ans
From I:
x2 – 36x + 320 = 0
x2 – 16x – 20x + 320 = 0
x(x – 16) – 20(x – 16) = 0
(x – 16)(x – 20) = 0
x = 16, 20
From II:
y2 – 24y + 128 = 0
y2 – 16y – 8y + 128 = 0
y(y – 16) – 8(y – 16)= 0
(y – 16)(y – 8) = 0
y = 16, 8
So, x > y
907. Ans
From I:
x2 + 7x – 120 = 0
x2 – 8x + 15x – 120 = 0
x(x – 8) + 15(x – 8) = 0
(x – 8)(x + 15) = 0
x = 8, -15
From II:
y2 – 26y + 153 = 0
y2 – 17y – 9y + 153 = 0
y(y – 17) – 9(y – 17)= 0
(y – 17)(y – 9) = 0
y = 17, 9
X
X
Y
X
Relation
Y
16
=
16
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
500
@Crossword2022
16
>
8
20
>
16
20
>
8
x2 – 17x + 8x – 136 = 0
x(x – 17) + 8(x – 17) = 0
(x – 17) (x + 8) = 0
x = -8, 17
From II:
y2 – 5y – 126 = 0
y2 – 14y + 9y – 126 = 0
y(y – 14) + 9(y – 14) = 0
(y + 9)(y – 14) = 0
y = -9, 14
Therefore, x ≥ y.
910. Ans
From I:
3x2 – 19x – 14 = 0
3x2 – 21x + 2x – 14 = 0
3x(x – 7) + 2(x – 7) = 0
(3x + 2)(x – 7) = 0
x = -2/3, 7
From II:
5y2 + 32y + 12 = 0
5y2 + 30y + 2y + 12 = 0
5y(y + 6) + 2(y + 6) = 0
(y + 6)(5y + 2) = 0
y = -6, -2/5
X
>
-6
-2/3
<
-2/5
7
>
-6
7
>
-2/5
Relation
y
-8
<
14
-8
>
-9
17
>
14
17
>
-9
So, no relation can be established between x
and y.
913. Ans
From I:
x2 – 2x – 168 = 0
x2 – 14x + 12x – 168 = 0
x(x – 14) + 12(x – 14) = 0
(x – 14)(x + 12) = 0
x = -12, 14
From II:
y2 – 3y – 180 = 0
y2 – 15y + 12y – 180 = 0
y(y – 15) + 12(y – 15) = 0
(y – 15)(y + 12) = 0
y = 15, -12
y
-2/3
X
So, no relation can be established between x
and y.
911. Ans
From I:
4x – 3y = -6
4x = 3y – 6
x = (3y – 6)/4 ….(1)
From II:
5x – 2y = 24
5{(3y – 6)/4} – 2y = 24 (From equation 1)
15y/4 – 15/2 – 2y = 24
7y/4 = 63/2
y = 18
x = (3 × 18 – 6)/4
x = 12
So, x < y.
912. Ans
From I:
x2 – 9x – 136 = 0
X
Relation
y
-12
<
15
-12
=
-12
14
<
15
14
>
-12
So, no relation can be established between x
and y.
914. Ans
From I:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
501
@Crossword2022
x2 – 37x + 330 = 0
x2 – 15x – 22x + 330 = 0
x(x – 15) – 22(x – 15) = 0
(x – 15)(x – 22) = 0
x = 15, 22
From II:
y2 – 28y + 195 = 0
y2 – 15y – 13y + 195 = 0
y(y – 15) – 13(y – 15) = 0
(y – 13)(y - 15) = 0
y = 15, 13
X
Relation
y
15
>
13
15
=
15
22
>
13
22
>
15
Or, y3 = (4913/64)
Or, y = 17/4
Relation
Y
12√7
<
24√2
12√7
<
24√2
Relation
Y
2/3
<
17/4
4
<
17/4
So, y > x
917. Ans
From I:
25x2 + 120 = 110x
Or, 25x2 – 110x + 120 = 0
Or, 5x2 – 22x + 24 = 0
Or, 5x2 – 10x – 12x + 24 = 0
Or, 5x(x – 2) – 12(x – 2) = 0
Or, (5x – 12)(x – 2) = 0
Or, x = 12/5 or x = 2
From II:
3y2 + 24y + 36 = 12 + 26y + 8y2
Or, 5y2 + 2y – 24 = 0
Or, 5y2 – 10y + 12y – 24 = 0
Or, 5y(y – 2) + 12(y – 2) = 0
Or, (5y + 12)(y – 2) = 0
Or, y = -12/5 or y = 2
So, x ≥ y.
915. Ans
From I:
x2 – 242 = 10% of 4320
Or, x2 – 576 = 0.10 × 4320
Or, x2 – 576 = 432
Or, x2 = 432 + 576 = 1008
Or, x = ±12√7
From II:
y – 24√2 = 0
Or, y = 24√2
X
X
X
Relation
Y
12/5
>
-12/5
12/5
>
2
2
>
-12/5
2
=
2
So, x ≥ y
918. Ans
From I:
x2 – 26x + 168= 0
x2 – 12x – 14x + 168 = 0
x(x – 12) – 14(x – 12) = 0
(x – 12)(x – 14) = 0
x = 12, 14
From II:
y2 – 30y + 209 = 0
y2 – 11y – 19y + 209 = 0
y(y – 11) – 19(y – 11) = 0
(y – 11)(y – 19) = 0
y = 11, 19
So, y > x
916. Ans
From I:
24 – x2 + 7x = 2x2 – 7x + 32
Or, 3x2 – 14x + 8 = 0
Or, 3x2 – 12x – 2x + 8 = 0
Or, 3x(x – 4) – 2(x – 4) = 0
Or, (3x – 2)(x – 4) = 0
Or, x = 2/3 or x = 4
From II:
64y3 = 4913
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
502
@Crossword2022
So, relation can’t be established between x
and y.
919. Ans
From I:
x2 – 8x – 128 = 0
x2 – 16x + 8x -128 = 0
x(x – 16) + 8(x – 16) = 0
(x – 16)(x + 8) = 0
x = 16, - 8
From II:
y2+y – 90 = 0
y2+ 10y – 9y –90 = 0
y(y + 10) – 9(y + 10) = 0
(y + 10)(y – 9) = 0
y = - 10, 9
So, relation can’t be established between x
and y.
920. Ans
From I:
x2 – 19x + 88= 0
x2 – 11x – 8x + 88 = 0
x(x – 11) – 8(x – 11) = 0
(x – 11)(x – 8) = 0
x = 11, 8
From II:
y2 – 27y + 182 = 0
y2 – 13y – 14y + 182 = 0
y(y – 13) – 14(y – 13) = 0
(y – 13)(y – 14) = 0
y = 13, 14
So, x < y.
921. Ans
From I:
5x2 = 1125
x2 = 225
x = ±15
From II:
y3/32 = 128
y3 = 4096
y = 16
x2 – 16x – 10x + 160 = 0
x(x – 16) – 10(x – 16) = 0
(x – 10)(x – 16) = 0
x = 10, 16
From II:
y2 – 25y + 126 = 0
y2 – 18y – 7y + 126 = 0
y(y – 18) – 7(y – 18) = 0
(y – 7)(y – 18) = 0
y = 7, 18
So, the relationship between x and y cannot be
established.
923. Ans
From I:
x2 – 9x – 90 = 0
x2 – 15x + 6x – 90 = 0
x(x – 15) + 6(x – 15) = 0
(x + 6)(x – 15) = 0
x = -6, 15
From II:
y2 – 35y + 300 = 0
y2 – 20y – 15y + 300 = 0
y(y – 20) – 15(y – 20) = 0
(y – 15)(y – 20) = 0
y = 15, 20So, x ≤ y
924. Ans
From I:
x2 + 16x + 63 = 0
x2 + 7x + 9x + 63 = 0
x(x + 7) + 9(x + 7) = 0
(x + 7)(x + 9) = 0
x = -7, -9
From II:
y2 – y – 56 = 0
y2 – 8y + 7y – 56 = 0
y(y – 8) + 7(y – 8) = 0
(y – 8)(y + 7) = 0
y = 8, -7
X
Relation
Y
X
Relation
y
15
<
16
-7
<
8
-15
<
16
-7
=
-7
-9
<
8
-9
<
-7
So, x < y
922. Ans
From I:
x2 + 180 = 20 + 26x
x2 – 26x + 160 = 0
So, x ≤ y.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
503
@Crossword2022
925. Ans
From I:
x2 – 4x – 77 = 0
x2 – 11x + 7x – 77 = 0
x(x – 11) + 7(x – 11) = 0
(x + 7)(x – 11) = 0
x = -7, 11
From II:
y2 – 23y + 126 = 0
y2 – 14y – 9y + 126 = 0
y(y – 14) – 9(y – 14) = 0
(y – 9)(y – 14) = 0
y = 9, 14
X
So, the relationship between x and y cannot be
established
928. Ans
From I:
x2 – 37x + 322 = 0
x2 – 23x – 14x + 322 = 0
x(x – 23) – 14(x – 23) = 0
(x – 14)(x – 23) = 0
x = 14, 23
From II:
4y3 – (11)2 = y3 + 1415
3y3 = 1415 + 121
y3 = 512
y=8
So, x > y
929. Ans
From I:
x2 + 27x + 170 = 0
x2 + 17x + 10x + 170= 0
x(x + 17) + 10(x + 17) = 0
(x + 10)(x + 17) = 0
x = -10, -17
From II:
y2 + 17y + 70 = 0
y2 + 10y + 7y + 70 = 0
y(y + 10) +7(y + 10) = 0
(y + 7)(y + 10) = 0
y = -7, -10
So, x ≤ y
930. Ans
From I:
2x2 – 7x + 6 = 0
2x2 – 4x – 3x + 6 = 0
2x(x – 2) – 3(x – 2) = 0
(2x – 3)(x – 2) = 0
x = 3/2, 2 = 1.5, 2
From II:
20y2 – 29y + 6 = 0
20y2 – 24y – 5y + 6 = 0
4y (5y – 6) – 1(5y – 6) = 0
(4y – 1)(5y – 6) = 0
y = 1/4, 6/5 = 0.25, 1.2
y
-7
<
9
-7
<
14
11
>
9
11
<
14
So, no relation can be established between x
and y.
926. Ans
From II,
X = 28 + 4y
From I,
8x + 26 = 7y
Or, 8(28 + 4y) + 26 = 7y
Or, 250 + 32y = 7y
Or, -25y = 250
Or, y = -10
Or, x = 28 – 4 × 10 = -12
Therefore, y > x
927. Ans
From I:
4x2 + 155 = 2091
4x2 = 1936
x2 = 484
x = ±22
From II:
8y2 + 472 = 2y2 + 2206
6y2 = 1734
y2 = 289
y = ±17
X
Relation
y
1.5
>
0.25
1.5
>
1.2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
504
@Crossword2022
2
>
0.25
8
>
3
2
>
1.2
8
>
4.5
So, x > y
931. Ans
From I:
2x2 – 19x + 42 = 0
2x2 – 7x – 12x + 42 = 0
x(2x – 7) – 6(2x – 7) = 0
(2x – 7)(x – 6) = 0
x = 7/2, 6
x = 3.5, 6
From II:
2y2 – 13y + 20 = 0
2y2 – 5y – 8y + 20 = 0
y(2y – 5) – 4(2y – 5) = 0
(y – 4)(2y – 5) = 0
y = 4, 5/2
y = 4, 2.5
So, x > y
933. Ans
From I:
2x2 + 13x + 20 = 0
2x2 + 8x + 5x + 20 = 0
2x(x + 4) + 5(x + 4) = 0
(2x + 5)(x + 4) = 0
x = -2.5, -4
From II:
2y2 + 21y + 52 = 0
2y2 + 8y + 13y + 52 = 0
2y(y + 4) + 13(y + 4) = 0
(y + 4)(2y + 13) = 0
y = -6.5, -4
X
Relation
Y
X
Relation
Y
-2.5
>
-6.5
3.5
<
4
-2.5
>
-4
3.5
>
2.5
-4
>
-6.5
6
>
4
-4
=
-4
6
>
2.5
So, x ≥ y
934. Ans
From I:
x3 = -125
x = -5
From II:
y2 + 17y + 60 = 0
y2 + 12y + 5y + 60 = 0
y(y + 12) + 5(y + 12) = 0
(y + 12)(y + 5) = 0
y = -12, -5
932. Ans
From I:
x2 – 15x + 56 = 0
x2 – 8x – 7x + 56 = 0
x(x – 8) – 7(x – 8) = 0
(x – 7)(x – 8) = 0
x = 7, 8
From II:
2y2 – 15y + 27 = 0
2y2 – 6y – 9y + 27 = 0
2y(y – 3) – 9(y – 3) = 0
(y – 3)(2y – 9) = 0
y = 3, 4.5
X
Relation
Y
7
>
3
7
>
4.5
X
Relation
y
-5
>
-12
-5
=
-5
So, x ≥ y
935. Ans
From II: 32y = 160
y=5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
505
@Crossword2022
From I:
9x + 7y = 89
9x + 35 = 89
9x = 54
x=6
So, x > y
936. Ans
From I:
5x2 = 1125
x2 = 225
x = ±15
From II:
y3/32 = 128
y3 = 4096
y = 16
938. Ans
From I:
x2 – 30x + 36 × 6 = 0
x2 – 12x – 18x + 216 = 0
x(x – 12) – 18(x – 12) = 0
(x – 12)(x – 18) = 0
x = 12, 18
From II:
y2 – 10y – 24y + 66 × 4 = 0
y2 – 12y – 22y + 264 = 0
y(y – 12) – 22(y – 12) = 0
(y – 12)(y – 22) = 0
y = 12, 22
X
Relation
Y
X
Relation
Y
12
=
12
15
<
16
12
<
22
-15
<
16
18
>
12
So, x < y
937. Ans
From I:
x2 – 11x + 128 = 254
x2 – 11x – 126 = 0
x2 – 18x + 7x – 126 = 0
x(x – 18) + 7(x – 18) = 0
(x + 7)(x – 18) = 0
x = -7, 18
From II:
y2 – 11y + 124 = 276
y2 – 11y – 152 = 0
y2 – 19y + 8y – 152 = 0
y(y – 19) + 8(y – 19) = 0
(y + 8)(y – 19) = 0
y = -8, 19
18
<
22
X
Relation
Y
-7
>
-8
-7
<
19
18
>
-8
18
<
19
So, no relation can be established between x and y.
939. Ans
From I:
x2 = 196
x = -14, 14
From II:
y2 + 15y = 0
y(y + 15) = 0
y = 0, -15
X
Relation
y
-14
<
0
-14
>
-15
14
>
0
14
>
-15
So, the relationship between x and y cannot be
established.
940. Ans
From I:
x2 + 27x + 180 = 0
x2 + 15x + 12x + 180 = 0
x(x + 15) + 12(x + 15) = 0
(x + 15)(x + 12) = 0
So, no relation can be established between x
and y.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
506
@Crossword2022
x = -15, -12
From II:
y2 + 31y + 240 = 0
y2 + 16y + 15y + 240 = 0
y(y + 16) + 15(y + 16) = 0
(y + 16)(y + 15) = 0
y = -16, -15
X
Relation
y
-15
=
-15
-15
>
-16
-12
>
-15
-12
>
-16
Relation
y
-9
=
-9
-9
<
-7
>
0
11
>
-8
So, the relationship between x and y cannot be
established.
943. Ans
From I:
x3 = -125
x = -5
From II:
y2 + 17y + 72 = 0
y2 + 9y + 8y + 72 = 0
y(y + 9) + 8(y + 9) = 0
(y + 9)(y + 8) = 0
y = -9, -8
So, x ≥ y
941. Ans
From I:
x3 = -729
x = -9
From II:
y2 + 16y + 63 = 0
y2 + 7y + 9y + 63 = 0
y(y + 7) + 9(y + 7) = 0
(y + 7)(y + 9) = 0
y = -9, -7
X
11
X
Relation
y
-5
>
-9
-5
>
-8
So, x > y
944. Ans
From I:
x2 – 27x = -180
x2 – 27x + 180 = 0
x2 – 12x – 15x + 180 = 0
x(x – 12) – 15(x – 12) = 0
(x – 12)(x – 15) = 0
x = 12, 15
From II:
y2 – 18y + 72 = 0
y2 – 6y – 12y + 72 = 0
y(y – 6) – 12(y – 6) = 0
(y – 6)(y – 12) = 0
y = 6, 12
So, x ≤ y
942. Ans
From I:
x2 = 121
x = -11, 11
From II:
y2 + 8y = 0
y(y + 8) = 0
y = 0, - 8
X
Relation
y
12
>
6
12
=
12
X
Relation
y
15
>
6
-11
<
0
15
>
12
-11
<
-8
So, x ≥ y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
507
@Crossword2022
945. Ans
From I:
12x2 – 5x – 23 = -16
12x2 – 5x – 7 = 0
12x2 – 12x + 7x – 7 = 0
12x(x – 1) + 7(x – 1) = 0
(12x + 7)(x – 1) = 0
x = (-7/12), 1
From II:
12y2 = 7y
y = 7/12, 0
X
Relation
Y
-7/12
<
7/12
-7/12
<
0
1
>
7/12
1
>
0
10x2 – 12x – 35x + 42 = 0
2x(5x – 6) – 7(5x – 6) = 0
(2x – 7)(5x – 6) = 0
x = 7/2, 6/5
x = 3.5, 1.2
From II:
5y2 – y – 6 = 0
5y2 – 6y + 5y – 6 = 0
y(5y – 6) + 1(5y – 6) = 0
(5y – 6)(y + 1) = 0
y = 6/5, -1
y = 1.2, -1
So, no relation can be established between x
and y.
946. Ans
From I:
x2 – 6x – 112 = 0
x2 – 14x + 8x – 112 = 0
x(x – 14) + 8(x – 14) = 0
(x – 14)(x + 8) = 0
x = 14, -8
From II:
y2 + 22y + 120 = 0
y2 + 10y + 12y + 120 = 0
y(y + 10) + 12(y + 10) = 0
y = -10, -12
X
Relation
Y
14
>
-10
14
>
-12
-8
>
-10
-8
>
-12
X
Relation
Y
3.5
>
1.2
3.5
>
-1
1.2
=
1.2
1.2
>
-1
So, x ≥ y
948. Ans
From I:
2x2 – 21x + 54 = 0
2x2 – 12x – 9x + 54 = 0
2x(x – 6) – 9(x – 6) = 0
(2x – 9)(x – 6) = 0
x = 9/2, 6
x = 4.5, 6
From II:
y = ∛512
y=8
X
Relation
Y
4.5
<
8
6
<
8
So, x < y
949. Ans
From I:
x2 – 19x + 84 = 0
x2 – 7x – 12x + 84 = 0
x(x – 7) – 12(x – 7) = 0
(x – 12)(x – 7) = 0
x = 12, 7
From II:
So, x > y
947. Ans
From I:
10x2 – 47x + 42 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
508
@Crossword2022
y2 – 18y + 72 = 0
y2 – 6y – 12y + 72 = 0
y(y – 6) – 12(y – 6) = 0
(y – 6)(y – 12) = 0
y = 6, 12
y2 + 2y – 48 = 0
y2 + 8y – 6y – 48 = 0
y(y + 8) – 6(y + 8) = 0
(y + 8)(y – 6) = 0
y = -8, 6
X
Relation
Y
X
Relation
y
12
>
6
-5
>
-8
12
=
12
-5
<
6
7
>
6
9
>
-8
7
<
12
9
>
6
So, no relation can be established between x
and y.
950. Ans
From I:
x2 – 23x + 132 = 0
x2 – 12x – 11x + 132 = 0
x(x – 12) – 11(x – 12) = 0
(x – 12)(x – 11) = 0
x = 12, 11
From II:
y2 – 27y + 180 = 0
y2 – 12y – 15y + 180 = 0
y(y – 12) – 15(y – 12) = 0
(y – 12)(y – 15) = 0
y = 12, 15
So, no relationship can be established between
x and y.
952. Ans
From I:
x2 – 12x + 35 = 0
x2 – 7x – 5x + 35 = 0
x(x – 7) – 5(x – 7) = 0
(x – 7)(x – 5) = 0
x = 7, 5
From II:
y2 – 21y + 98 = 0
y2 – 14y – 7y + 98 = 0
y(y – 14) – 7(y – 14) = 0
(y – 14)(y – 7) = 0
y = 14, 7
X
Relation
y
X
Relation
y
12
=
12
7
=
7
11
<
12
7
<
14
12
<
15
5
<
7
11
<
15
5
<
14
So, x ≤ y
951. Ans
From I:
x2 – 4x – 45 = 0
x2 + 5x – 9x – 45 = 0
x(x + 5) – 9(x + 5) = 0
(x + 5)(x – 9) = 0
x = -5, 9
From II:
So, x ≤ y
953. Ans
From I:
4x2 = 2x2 + 23x – 45
2x2 – 23x + 45 = 0
2x2 – 18x – 5x + 45 = 0
2x(x – 9) – 5(x – 9) = 0
(2x – 5)(x – 9) = 0
x = 9, 5/2
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
509
@Crossword2022
X
Relation
Y
9
>
-9
9
=
9
√x = 4
x = 16
From II:
(y – 1) = 8/(y – 8)
(y – 1)(y – 8) = 8
y2 – y – 8y + 8 = 8
y2 – 9y = 0
y(y – 9) = 0
y = 0, 9
5/2
>
-9
X
Relation
Y
5/2
<
9
16
>
9
16
>
0
From II:
8y2 = 648
y2 = 81
y = -9, 9
So, the relationship cannot be established
954. Ans
From I:
(x + 12)2 = x + 12
x2 + 23x + 132 = 0
x2 + 12x + 11x + 132 = 0
x(x + 12) + 11(x + 12) = 0
(x + 12)(x + 11) = 0
x = -12, -11
Short cut:
(x + 12)2 = x + 12
(x + 12)2 – (x + 12) = 0
(x + 12)(x + 12 – 1) = 0
(x + 12)(x + 11) = 0
x = -12, -11
From II:
y2 + 3y = 54
y2 + 3y – 54 = 0
y2 + 9y – 6y – 54 = 0
y(y + 9) – 6(y + 9) = 0
(y + 9)(y – 6) = 0
y = -9, 6
X
Relation
Y
-12
<
-9
-12
<
6
-11
<
-9
-11
<
6
So, x > y
956. Ans
From I:
x2 – 144 = 0
x2 = 144
x = 12, -12
From II:
y3 = 1728
y = 12
X
Relation
y
12
=
12
-12
<
12
So, x ≤ y
957. Ans
From I:
x2 + 29x + 210 = 0
x2 + 15x + 14x + 210 = 0
x(x + 15) + 14(x + 15) = 0
(x + 15)(x + 14) = 0
x = -15, -14
From II:
y2 + 21y + 108 = 0
y2 + 12y + 9y + 108 = 0
y(y + 12) + 9(y + 12) = 0
(y + 12)(y + 9) = 0
y = -12, -9
So, x < y
955. Ans
From I:
X
Relation
y
-15
<
-12
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
510
@Crossword2022
-15
<
-9
18
>
0
-14
<
-12
18
>
-18
-14
<
-9
So, the relationship cannot be established.
960. Ans
From I:
x3 = -729
x = -9
From II:
y2 + 15y + 54 = 0
y2 + 6y + 9y + 54 = 0
y(y + 6) + 9(y + 6) = 0
(y + 9)(y + 6) = 0
y = -9, -6
So, x < y
958. Ans
From I:
(x + 4)2 = 23x – 20
x2 + 8x + 16 = 23x – 20
x2 – 15x + 36 = 0
x2 – 3x – 12x + 36 = 0
x(x – 3) – 12(x – 3) = 0
(x – 3)(x – 12) = 0
x = 12, 3
From II:
(y – 3)2 = 3 – y
y2 – 6y + 9 = 3 – y
y2 – 5y + 6 = 0
y2 – 2y – 3y + 6 = 0
y(y – 2) – 3(y – 2) = 0
(y – 2)(y – 3) = 0
y = 2, 3
X
Relation
y
12
>
2
12
>
3
3
>
2
3
=
3
Relation
y
-18
<
0
-18
=
-18
Relation
y
-9
=
-9
-9
<
-6
So, x ≤ y
961. Ans
From II:
28y + 34 = 342
28y = 308
y = 11
From I:
7x + 5y = 118
7x + 55 = 118
7x = 63
x=9
So, x < y
962. Ans
From I:
(x + 6)2 = 26x – 12
x2 + 12x + 36 = 26x – 12
x2 – 14x + 48 = 0
x2 – 6x – 8x + 48 = 0
x(x – 6) – 8(x – 6) = 0
(x – 6)(x – 8) = 0
x = 6, 8
From II:
(y – 5)2 = y – 5
(y – 5)2 – (y – 5) = 0
(y – 5)(y – 5 – 1) = 0
(y – 5)(y – 6) = 0
y = 5, 6
So, x ≥ y
959. Ans
From I:
x2 = 324
x = -18, 18
From II:
y2 + 18y = 0
y(y + 18) = 0
y = 0, -18
X
X
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
511
@Crossword2022
X
Relation
y
6
=
6
6
>
5
8
>
6
8
>
5
965. Ans
From I:
x2 + 15x = -56
x2 + 15x + 56 = 0
x2 + 7x + 8x + 56 = 0
x(x + 7) + 8(x + 7) = 0
(x + 7)(x + 8) = 0
x = -7, -8
From II:
y2 – y – 56 = 0
y2 + 7y – 8y – 56 = 0
y(y + 7) – 8(y + 7) = 0
(y + 7)(y – 8) = 0
y = -7, 8
So, x ≥ y
963. Ans
From I:
x2 – 64 = 0
x2 = 64
x = -8, 8
From II:
y2 – 7y = 0
y(y – 7) = 0
y = 0, 7
X
Relation
y
-7
=
-7
-7
<
8
X
Relation
y
-8
<
-7
-8
<
0
-8
<
8
-8
<
7
8
>
0
8
>
7
So, x ≤ y
966. Ans
From I:
√x = √√64
x = √64
x=8
From II:
(y – 1) = 5/(y – 5)
(y – 1)(y – 5) = 5
y2 – y – 5y + 5 = 5
y2 – 6y = 0
y(y – 6) = 0
y = 0, 6
So, the relationship between x and y cannot be
established.
964. Ans
From I:
x3 = -512
x = -8
From II:
y2 + 21y + 108 = 0
y2 + 12y + 9y + 108 = 0
y(y + 12) + 9(y + 12) = 0
(y + 12)(y + 9) = 0
y = -12, -9
X
Relation
y
-8
>
-9
-8
>
-12
X
Relation
y
8
>
6
8
>
0
So, x > y
967. Ans
From I:
x2 = 64
x = -8, 8
From II:
So, x > y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
512
@Crossword2022
y2 + 8y = 0
y(y + 8) = 0
y = 0, - 8
x = -2, 5
From II:
y2 + 7y + 12 = 0
y2 + 3y + 4y + 12 = 0
y(y + 3) + 4(y + 3) = 0
(y + 3)(y + 4) = 0
y = –3, -4
X
Relation
y
-8
<
0
-8
=
-8
X
Relation
y
8
>
0
-2
>
-3
8
>
-8
-2
>
-4
5
>
-3
5
>
-4
So, the relationship between x and y cannot be
established.
968. Ans
From I:
x3 = -216
x = -6
From II:
y2 + 15y + 56 = 0
y2 + 7y + 8y + 56 = 0
y(y + 7) + 8(y + 7) = 0
(y + 7)(y + 8) = 0
y = -7, -8
X
Relation
y
-6
>
-7
-6
>
-8
So, x > y
971. Ans
From I:
(x + 7)2 = x + 7
x2 + 13x + 42 = 0
x2 + 7x + 6x + 42 = 0
x(x + 7) + 6(x + 7) = 0
(x + 7)(x + 6) = 0
x = -7, -6
Short cut:
(x + 7)2 = x + 7
(x + 7)2 – (x + 7) = 0
(x + 7)(x + 7 – 1) = 0
(x + 7)(x + 6) = 2
x = -7, -6
From II:
y2 + y = 30
y2 + y – 30 = 0
y2 + 6y – 5y – 30 = 0
y(y + 6) – 5(y + 6) = 0
(y + 6)(y – 5) = 0
y = -6, 5
So, x ≤ y
969. Ans
From II:
32y = 160
y=5
From I:
3x + 2y = 22
3x + 10 = 22
3x = 12
x=4
So, x < y
970. Ans
From I:
x2 – 3x = 10
x2 – 3x – 10 = 0
x2 + 2x – 5x – 10 = 0
x(x + 2) – 5(x + 2) = 0
(x + 2)(x – 5) = 0
X
Relation
y
-7
<
-6
-7
<
5
-6
=
-6
-6
<
5
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
513
@Crossword2022
So, x ≤ y
972. Ans
From I:
(x + 3)2 = 29x – 123
x2 + 6x + 9 = 29x – 123
x2 – 23x + 132 = 0
x2 – 11x – 12x + 132 = 0
x(x – 11) – 12(x – 11) = 0
(x – 11)(x – 12) = 0
x = 11, 12
From II:
(y – 4)2 = 14y – 105
y2 – 8y + 16 = 14y – 105
y2 – 22y + 121 = 0
y2 – 11y – 11y + 121 = 0
y(y – 11) – 11(y – 11) = 0
(y – 11)(y – 11) = 0
y = 11, 11
X
Relation
Y
11
=
11
12
>
11
974. Ans
From I:
x3 = -1331
x = -11
From II:
y2 + 16y + 63 = 0
y2 + 9y + 7y + 63 = 0
y(y + 9) + 7(y + 9) = 0
(y + 7)(y + 9) = 0
y = -9, -7
X
Relation
Y
-11
<
-9
-11
<
-7
So, x < y
975. Ans
From II:
15y = 180
y = 12
From I:
8x + 7y = 204
8x + 84 = 204
8x = 120
x = 15
So, x > y
976 . Ans
From I:
x2 – 10x = 24
x2 – 10x – 24 = 0
x2 + 2x – 12x – 24 = 0
x(x + 2) – 12(x + 2) = 0
(x + 2)(x – 12) = 0
x = -2, 12
From II:
y2 + 15y + 36 = 0
y2 + 3y + 12y + 36 = 0
y(y + 3) + 12(y + 3) = 0
(y + 3)(y + 12) = 0
y = –3, -12
So, x ≥ y.
973. Ans
From I:
5x2 – 9x + 4 = 0
5x2 – 5x – 4x + 4 = 0
5x(x – 1) – 4(x – 1) = 0
(5x – 4)(x – 1) = 0
x = 4/5, 1
From II:
20y2 – 27y + 9 = 0
20y2 – 15y – 12y + 9 = 0
5y(4y – 3) – 3(4y – 3) = 0
(5y – 3)(4y – 3) = 0
y = 3/5, 3/4
X
Relation
Y
4/5
>
2/5
X
Relation
Y
4/5
>
3/4
-2
>
-3
1
>
2/5
-2
>
-12
1
>
3/4
12
>
-3
So, x > y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
514
@Crossword2022
12
>
x = -9, -6
From II:
y2 + 21y + 108 = 0
y2 + 12y + 9y + 108 = 0
y(y + 12) + 9(y + 12) = 0
(y + 12)(y + 9) = 0
y = -12, -9
-12
So, x > y
977. Ans
From I:
x2 – 3x = 10
x2 – 3x – 10 = 0
x2 + 2x – 5x – 10 = 0
x(x + 2) – 5(x + 2) = 0
(x + 2)(x – 5) = 0
x = -2, 5
From II:
y2 – 13y + 40 = 0
y2 – 8y – 5y + 40 = 0
y(y – 8) – 5(y – 8) = 0
(y – 8)(y – 5) = 0
y = 8, 5
x
Relation
y
-2
<
8
-2
<
5
5
<
8
5
=
5
Relation
y
9
=
9
-9
<
9
Relation
y
-9
>
-12
-6
>
-12
-9
=
-9
-6
>
-9
So, x ≥ y
980. Ans
From I:
x2 + 7x – 18 = 0
x2 + 9x – 2x – 18 = 0
x(x + 9) – 2(x + 9) = 0
(x + 9)(x – 2) = 0
x = 2, -9
From II:
y2 + y – 30 = 0
y2 + 6y – 5y – 30 = 0
y(y + 6) – 5(y + 6) = 0
(y + 6)(y – 5) = 0
So, x ≤ y
978. Ans
From I:
x2 – 81 = 0
x2 = 81
x = 9, -9
From II:
y3 = 729
y=9
X
X
X
Relation
y
-9
<
-6
-9
<
5
2
>
-6
2
<
5
y = -6, 5
So, relationship between x and y cannot be
established.
981. Ans
From I:
x2 – 14x + 70 = 2x + 7
x2 – 16x + 63 = 0
x2 – 7x – 9x + 63 = 0
x(x – 7) – 9(x – 7) = 0
(x – 7)(x – 9) = 0
So, x ≤ y
979. Ans
From I:
x2 + 15x + 54 = 0
x2 + 9x + 6x + 54 = 0
x(x + 9) + 6(x + 9) = 0
(x + 9)(x + 6) = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
515
@Crossword2022
x = 7, 9
From II
y2 = 49
y = -4/3, 5
y = 7, -7
X
Relation
y
X
Relation
y
4/7
>
-4/3
7
=
7
4/7
<
5
7
>
-7
3
>
-4/3
9
>
7
3
<
5
9
>
-7
So, x ≥ y
982. Ans
From I:
x2 + 27x + 180 = 0
x2 + 12x + 15x + 180 = 0
x(x + 12) + 15(x + 12) = 0
(x + 12)(x + 15) = 0
x = -12, -15
From II
y2 – 5y – 84 = 0
y2 – 12y + 7y – 84 = 0
y(y – 12) + 7(y – 12) = 0
(y – 12)(y + 7) = 0
So, no relation can be established between x
and y.
984. Ans
From I:
64x = 768
x = 12
From II:
(y – 1) = 11/(y – 11)
(y – 1)(y – 11) = 11
y2 – y – 11y + 11 = 11
y2 – 12y = 0
y(y – 12) = 0
y = 0, 12
y = 12, -7
X
Relation
y
X
Relation
Y
12
=
12
-12
<
12
12
>
0
-12
<
-7
-15
<
12
-15
<
-7
So, x ≥ y
985. Ans
From I:
x2 – 144 = 0
x2 = 144
x = 12, -12
From II:
y3 = 1728
So, x < y
983. Ans
From I:
7x2 – 25x + 12 = 0
7x2 – 21x – 4x + 12 = 0
7x(x – 3) – 4(x – 3) = 0
(7x – 4)(x - 3) = 0
x = 4/7, 3
From II:
3y2 – 11y – 20 = 0
3y2 – 15y + 4y – 20 = 0
3y(y – 5) + 4 (y – 5) = 0
(3y + 4)(y – 5) = 0
y = 12
X
Relation
y
12
=
12
-12
<
12
So, x ≤ y
986. Ans
From I:
x2 + 25x + 136 = 0
x2 + 17x + 8x + 136 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
516
@Crossword2022
x(x + 17) + 8(x + 17) = 0
(x + 17)(x + 8) = 0
x = -17, -8
From II:
y2 + 15y + 56 = 0
y2 + 8y + 7y + 56 = 0
y(y + 7) + 8(y + 7) = 0
(y + 8)(y + 7) = 0
y = -7, -8
x = -8, -6
From II:
y2 + 7y + 10 = 0
y2 + 5y + 2y + 10 = 0
y(y + 5) + 2(y + 5) = 0
(y + 5)(y + 2) = 0
y = -5, -2
X
Relation
Y
X
Relation
y
-8
<
-5
-17
<
-8
-8
<
-2
-17
<
-7
-6
<
-5
-8
=
-8
-6
<
-2
-8
<
-7
So, x < y
989. Ans
From I:
x2 – 169 = 0
x2 = 169
x = ± 13
From II:
y3 – 2197 = 0
y3 = 2197
y = 13
So, y ≥ x
987. Ans
From I:
x2 + x – 30 = 0
x2 + 6x – 5x – 30 = 0
x(x + 6) – 5(x + 6) = 0
(x + 6)(x – 5) = 0
x = 5, -6
From II:
y2 + 7y + 12 = 0
y2 + 4y + 3y + 12 = 0
y(y + 4) + 3(y + 4) = 0
(y + 4)(y + 3) = 0
y = -4, -3
X
Relation
Y
5
>
-4
5
>
-3
-6
<
-4
-6
<
-3
X
Relation
Y
13
=
13
-13
<
13
So, x ≤ y
990. Ans
From I:
x2 + 10x – 56 = 0
x2 + 14x – 4x – 56 = 0
x(x + 14) – 4(x + 14) = 0
(x + 14) (x – 4) = 0
x = -14, 4
From II:
y2 – 17y + 60 = 0
y2 – 12y – 5y + 60 = 0
y(y – 12) – 5(y – 12) = 0
(y – 12) (y – 5) = 0
y = 12, 5
So, no relation can be established between x
and y.
988. Ans
From I:
x2 + 14x + 48 = 0
x2 + 8x + 6x + 48 = 0
x(x + 8) + 6(x + 8) = 0
(x + 8)(x + 6) = 0
X
Relation
Y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
517
@Crossword2022
-14
<
12
4
>
-5
-14
<
5
4
<
5
4
<
12
4.5
>
-5
4
<
5
4.5
<
5
So, x < y
991. Ans
From I:
x2 - 13x – 68 = 0
x2 - 17x + 4x – 68 = 0
x(x – 17) + 4(x – 17) = 0
(x – 17) (x + 4) = 0
x = 17, -4
From II:
y2 – 3y – 54 = 0
y2 – 9y + 6y – 54 = 0
y(y – 9) + 6(y – 9) = 0
(y – 9) (y + 6) = 0
y = 9, -6
X
Relation
Y
17
>
9
17
>
-6
-4
<
9
-4
>
-6
So, the relationship cannot be established
993. Ans
From I:
(x + 9)2 = x + 9
x2 + 17x + 72 = 0
x2 + 9x + 8x + 72 = 0
x(x + 9) + 8(x + 9) = 0
(x + 8)(x + 9) = 0
x = -8, -9
Short cut:
(x + 9)2 = x + 9
(x + 9)2 – (x + 9) = 0
(x + 9)(x + 9 – 1) = 0
(x + 9)(x + 8) = 0
x = -9, -8
From II:
y2 + 4y = 32
y2 + 4y – 32 = 0
y2 + 8y – 4y – 32 = 0
y(y + 8) – 4(y + 8) = 0
(y + 8)(y – 4) = 0
y = -8, 4
So, no relation can be established between x
and y.
992. Ans
From I:
4x2 = 2x2 + 17x – 36
2x2 – 17x + 36 = 0
2x2 – 8x – 9x + 36 = 0
2x(x – 4) – 9(x – 4) = 0
(2x – 9)(x – 4) = 0
x = 4, 9/2
x = 4, 4.5
From II:
12y2 = 300
y2 = 25
y = -5, 5
X
Relation
X
Relation
Y
-8
=
-8
-8
<
4
-9
<
-8
-9
<
4
So, x ≤ y
994. Ans
From I:
√x = 5
x = 25
From II:
(y – 8) = 72/(y – 9)
(y – 8)(y – 9) = 72
y2 – 8y – 9y + 72 = 72
Y
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
518
@Crossword2022
y2 – 17y = 0
y(y – 17) = 0
y = 0, 17
X
Relation
Y
25
>
0
25
>
17
997. Ans
From I:
(x + 2)2 = 9x – 2
x2 + 4x + 4 = 9x – 2
x2 – 5x + 6 = 0
x2 - 3x – 2x + 6 = 0
x(x – 3) – 2(x - 3) = 0
(x - 3)(x - 2) = 0
x = 2, 3
From II:
(y – 3)2 = 3 – y
y2 – 6y + 9 = 3 – y
y2 – 5y + 6 = 0
y2 – 2y – 3y + 6 = 0
y(y – 2) – 3(y – 2) = 0
(y – 2)(y – 3) = 0
y = 2, 3
So, x > y
995. Ans
From I:
x2 – 144 = 0
x2 = 144
x = 12, -12
From II:
y3 = 1728
y = 12
X
Relation
Y
12
=
12
-12
<
12
So, x ≤ y
996. Ans
From I:
x2 + 19x + 34 = 0
x2 + 17x + 2x + 34 = 0
x(x + 17) + 2(x + 17) = 0
(x + 17)(x + 2) = 0
x = -17, -2
From II:
y2 + 21y + 54 = 0
y2 + 3y + 18y + 54 = 0
y(y + 3) + 18(y + 3) = 0
(y + 18)(y + 3) = 0
y = -18, -3
X
Relation
Y
-17
>
-18
-17
<
-3
-2
>
-18
-2
>
-3
x
Relation
Y
2
=
2
2
<
3
3
>
2
3
=
3
So, the relationship cannot be established
between x and y.
998. Ans
From I:
x2 = 16
x = -4, 4
From II:
y2 + 4y = 0
y(y + 4) = 0
y = 0, - 4
X
Relation
Y
-4
<
0
-4
=
-4
4
>
0
4
>
-4
So, the relationship cannot be established
between x and y.
So, no relation can be established
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
519
@Crossword2022
999. Ans
From I:
x3 = -343
x = -7
From II:
y2 + 12y + 35 = 0
y2 + 7y + 5y + 35 = 0
y(y + 7) + 5(y + 7) = 0
(y + 7)(y + 5) = 0
y = -7, -5
From I:
x2 – 23x + 126 = 0
x2 – 9x – 14x + 126 = 0
x(x – 9) – 14(x – 9) = 0
(x – 9)(x – 14) = 0
x = 9, 14
From II:
y2 – 22y + 105 = 0
y2 – 7y – 15y + 105 = 0
y(y – 7) – 15(y – 7) = 0
(y – 7)(y – 15) = 0
y = 7, 15
X
Relation
y
-7
=
-7
X
Relation
Y
-7
<
-5
9
>
7
9
<
15
14
>
7
14
<
15
So, x ≤ y
1000. Ans
From II:
35y = 70
y=2
From I:
3x + 2y = 19
3x + 4 = 19
3x = 15
x=5
So, x > y
Hence, option a.
1001
From I:
x2 = 144
x = -12, 12
From II:
y2 + 12y = 0
y(y + 12) = 0
y = 0, -12
So, the relationship cannot be established
1002 Ans
From II:
24y = 120
y=5
From I:
5x + 3y = 45
5x + 15 = 45
5x = 30
x=6
So, x > y
1003. Ans
So, relationship between x and y cannot be
established.
1004. Ans
From I:
x3 = -512
x = -8
From II:
y2 + 13y + 40 = 0
y2 + 8y + 5y + 40 = 0
y(y + 8) + 5(y + 8) = 0
(y + 8)(y + 5) = 0
y = -8, -5
So, x ≤ y
1005. Ans
From equation I:
x2 -5x -36 = (x + 4)(x -9)= 0
=> x = -4, 9
From equation II:
y2 -16y +63 = (y -9)(y -7) = 0
=> y = 9, 7
So, relationship cannot be established
between x and y
1006. Ans
From I:
x2 + 500 = 43x + 44
Or, x2 – 43x + 456 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
520
@Crossword2022
Or, x2 – 24x – 19x + 456 = 0
Or, x(x – 24) – 19(x – 24) = 0
Or, (x – 19)(x – 24) = 0
x = 19, 24
From II:
y2 + 300 = 30y + 91
Or, y2 – 30y + 209 = 0
Or, y2 – 11y – 19y + 209 = 0
Or, y(y – 11) – 19(y – 11) = 0
Or, (y – 19)(y – 11) = 0
y = 19, 11
So, x ≥ y
1007. Ans
From I:
16x2 + (13)3 = 3x2 + 5122
Or, 13x2 + (13)3 = 5122
Or, x2 + (13)2 = 394
Or, x2 = 394 – 169 = 225
x = ± 15
From II:
15y2 + (11)3 = 4y2 + 6655
Or, 11y2 + (11)3 = 6655
Or, y2 + (11)2 = 605
Or, y2 = 605 – 121 = 484
y = ± 22
So, no relation can be established between ‘x’
and ‘y’.
1008. Ans
From I:
x3 + (14)2 = 925
Or, x3 = 925 – 196 = 729
Or, x = 9
From II:
y2 – 3y – 54 = 0
Or, y2 – 9y + 6y – 54 = 0
Or, y(y – 9) + 6(y – 9) = 0
Or, (y + 6)(y – 9) = 0
Or, y = -6, 9
So, x ≥ y
1009.Ans
From I:
11x + 7y = 162
x = (162 – 7y)/11
From II:
5 × {(162 – 7y)/11} + 15y = 180
810 – 35y + 165y = 1980
130y = 1170
y=9
So, x = (162 – 63)/11 = 9
So, x = y.
1010. Ans
From I:
x2 – 4x – 117 = 0
Or, x2 – 13x + 9x – 117 = 0
Or, x(x – 13) + 9(x – 13) = 0
Or, (x + 9)(x – 13) = 0
Or, x = -9, 13
From II:
y2 + 28y + 180 = 0
Or, y2 + 18y + 10y + 180 = 0
Or, y(y + 18) + 10(y + 18) = 0
Or, (y + 10)(y + 18) = 0
Or, y = -10, -18
So, x > y
1011. Ans
I. x2 + 5x – 84 = 0
x2 + 12x – 7x – 84 = 0
x (x + 12) – 7 (x + 12) = 0
(x + 12) (x – 7) = 0
x = 7, –12
II. y2 + 27y + 180 = 0
y2 + 12y + 15y + 180 = 0
y (y + 12) + 15 (y + 12) = 0
(y + 12) (y + 15) = 0
y = –12, –15
For, x = –12 and y = –12
x=y
For, x = –12 and y = –15
x>y
For x = 7 and y = –12 or –15
x>y
Therefore, x ≥ y
1012. Ans
From I:
7x2 – 267 = 2x2 + 1538
Or, 5x2 = 1805
Or, x2 = 361
Or, x = ±19
From II:
5y3 = 3y3 + 8192
Or, 2y3 = 8192
Or, y3 = 4096
Or, y = 16
So, the relationship cannot be established
between ‘x’ and ‘y’.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
521
@Crossword2022
1013. Ans
From I:
x2 – 59x + 864 = 0
Or, x2 – 32x – 27x + 864 = 0
Or, x(x – 32) – 27(x – 32) = 0
Or, (x – 27)(x – 32) = 0
Or, x = 27, 32
From II:
y2 + 2y = 7y + 594
Or, y2 – 5y – 594 = 0
Or, y2 + 22y – 27y – 594 = 0
Or, y(y + 22) – 27(y + 22) = 0
Or, (y – 27)(y + 22) = 0
Or, y = 27, -22
So, x ≥ y
1014. Ans
From I:
x2 + 47x + 522 = 0
Or, x2 + 29x + 18x + 522 = 0
Or, x(x + 29) + 18(x + 29) = 0
Or, (x + 18)(x + 29) = 0
Or, x = -18, -29
From II:
9y3 + 219 = 5y3 + 5543
Or, 4y3 = 5324
Or, y3 = 1331
Or, y = 11
So, y > x
1015. Ans
From I:
8x2 + 423 = 6x2 + 935
Or, 2x2 = 512
Or, x2 = 256
Or, x = ±16
From II:
6y2 + 326 = 4y2 + 974
Or, 2y2 = 648
Or, y2= 324
Or, y = ±18
So, the relationship cannot be established
between ‘x’ and ‘y’.
1016. Ans
I. √625𝑥 2 – 375 = 0
⇒ 625𝑥 2 = 3752
⇒ x = ±15
II. √2116𝑦– 736 = 0
⇒ 46y = 736 ⇒ y = 16
y>x
1017. Ans
I. x² + 8x + 15 = 0
x² + 5x +3x + 15 = 0
x(x + 5) +3(x + 5) = 0
(x + 3) (x + 5)
x= -3, -5
II. 2y² + 21y + 54 = 0
2y² + 12y + 9y + 54 = 0
2y (y + 6) +9(y + 6) = 0
(2y + 9) (y +6) = 0
9
𝑦=− , −6
2
No relation can be established between x & y
1018. Ans
From I:
9x3 + 145 = 5x3 + 8933
Or, 4x3 = 8788
Or, x3 = 2197
Or, x = 13
From II:
2y3 = 6750
Or, y3 = 3375
Or, y = 15
So, x < y
1019. Ans
From I:
5x + 4y = 30
Or, x = (30 – 4y)/5
From II:
7x + 2y = 60
Or, 7[(30 – 4y)/5] + 2y = 60
Or, 210 – 28y+ 10y = 300
Or, -18y = 90
Or, y = -5
So, 5x + 4 × (-5) = 30
Or, x = 10
So, x > y
1020. Ans
From I:
x2 + 6x – 91 = 0
Or, x2 – 7x + 13x – 91 = 0
Or, x(x – 7) + 13(x – 7) = 0
Or, (x – 7)(x + 13) = 0
Or, x = 7, -13
From II:
y2 – 25y + 144 = 0
Or, y2– 16y – 9y + 144 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
522
@Crossword2022
Or, y(y –16) – 9(y – 16) = 0
Or, (y – 16)(y – 9) = 0
Or, y = 16, 9
So, x < y
1021. Ans
From I:
x2 – 18x + 72 = 0
Or, x2 – 6x – 12x + 72= 0
Or, x(x – 6) – 12(x – 6) = 0
Or, (x – 6)(x – 12) = 0
Or, x = 6, 12
From II:
y2 + 8y – 84 = 0
Or, y2 + 14y – 6y – 84 = 0
Or, y(y + 14) – 6(y + 14) = 0
Or, (y – 6)(y + 14) = 0
Or, y = 6, -14
So, x ≥ y
1022. Ans
From I:
x2 - x - 42 = 0
x2- 7x + 6x - 42 = 0
x(x - 7) + 6(x - 7) = 0
(x - 7) (x + 6) = 0
x = 7, -6
From II:
y2 + 4y - 32 = 0
y2 + 8y - 4y - 32 = 0
y(y + 8) -4(y + 8) = 0
(y + 8) (y – 4) = 0
y = -8, 4
So, no relation can be established between x
and y.
1023. Ans
From equation I:
x2 -24x +143 = (x -13)(x -11)= 0
=> x = 13, 11
From equation II:
y2 -21y +90 = (y -6)(y -15) = 0
=> y = 6, 15
So, relationship cannot be established
between x and y
1024. Ans
From I:
x3 – 80% of 150x = 75% of 272x
Or, x3 – 0.80 × 150x = 0.75 × 272x
Or, x3 – 120x = 204x
Or, x3 – 324x = 0
Or, x(x2 – 324) = 0
Or, x = 0 or x2 = 324
Or, x = 0 or x = ±18
From II:
32y – 12 × 24 = 32 × 15
Or, 32y = 480 + 288
Or, 32y = 768
Or, y = 24
So, y > x
1025. Ans
I . x2 – 16𝑥 + 48 = 0
x(x −12) − 4(𝑥 − 12) = 0
(x −12) (𝑥 − 4) = 0
x = 12 , 4
II . y2 −16𝑦 − 12𝑦 + 192 = 0
y(y −16) − 12(𝑦 − 16) = 0
(y −16) (𝑦 − 12) = 0
y = 16, 12
So, x ≤y
1026. Ans
I . x2 + 16x + 8x + 128 = 0
x(x + 16) + 8(x + 16) = 0
(x + 16) (x + 8) = 0
x = −16, − 8
II . y2 + 16y + 20y + 320 = 0
y(y +16) + 20(y + 16) = 0
(y + 16) (y + 20) = 0
y = −16, − 20
So, x≥y
1027. Ans
I. 𝑥 3 + 340 = 2537
𝑥 3 = 2537 − 340
= 2197
3
𝑥 = √2197 = 13
2
II. 𝑦 + 23 = 192
𝑦 2 = 192 − 23 = 169
𝑦 = ±13
So, 𝑥 ≥ 𝑦
1028. Ans
From I:
x2 – 19x + 84 = 0
x2 – 12x – 7x + 84 = 0
x(x – 12) – 7(x – 12) = 0
(x – 12)(x – 7) = 0
x = 7, 12
From II:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
523
@Crossword2022
y2 + 18y + 77 = 0
y2 + 11y + 7y + 77 = 0
y(y + 11) + 7(y + 11) =0
(y + 11)(y + 7) = 0
y = -7, -11
So, x > y.
1029. Ans
(I) 6x2 + 23x + 21 = 0
=> (2x + 3)(3x + 7) = 0
=> x = -1.5 or -2.3
(II) 6y 2 - 7y - 5 = 0
=> (3y - 5)(2y + 1) = 0
=> y = 1.66 or -0.5
When x = -1.5 and y = 1.66, so x < y
When x = -1.5 and y = -0.5, so x < y
When x = -2.3 and y = 1.66, so x < y
When x = -2.3 and y = -0.5, so x < y
Hence, x < y
1030. Ans
I. 2x² + 7x – 30 = 0
2x² + 12x – 5x – 30 = 0
2x (x + 6) – 5 (x + 6) = 0
5
𝑥 = , –6
From II, y2 - 16y + 60 = 0
y2 - 6y - 10y + 60 = 0
y(y - 6) - 10(y - 6) = 0
(y - 6)(y - 10) = 0
y = 6, 10
Therefore, x > y
1033. Ans
I.3x² + 14x – 5 = 0
⇒ 3x² + 15x – x – 5 = 0
⇒ 3x (x + 5) – 1 (x + 5) = 0
⇒ (3x – 1) (x + 5) = 0
1
x = , –5
3
II.3y² – 19y + 6 = 0
⇒ 3y² – 18y – y + 6 = 0
⇒ 3y ( y – 6) – 1 (y – 6) = 0
⇒ (3y – 1) (y – 6) = 0
1
𝑦 = ,6
3
𝑦≥𝑥
1034. Ans
I.7x² – 11x – 6 = 0
⇒ 7x² – 14x + 3x − 6 = 0
⇒ 7x (x – 2) + 3 (x – 2) = 0
⇒ (7y + 3) (x – 2) = 0
2
II . 3y² + 6y – 24 = 0
3y² + 12y – 6y – 24 = 0
3y (y + 4) – 6 (y + 4) =0
y = –4, 2
No relation
1031. Ans
I. 3𝑥 2 + 23𝑥 + 30 = 0
3𝑥 2 + 18𝑥 + 5𝑥 + 30 = 0
3𝑥(𝑥 + 6) + 5(𝑥 + 6) = 0
(3𝑥 + 5)(𝑥 + 6) = 0
5
𝑥 = −6, −
𝑥=
–3
7
,2
II.7y² – 10y + 3 = 0
⇒ 7y² – 7y – 3y + 3 = 0
⇒ 7y (y – 1) – 3 (y – 1) = 0
⇒ (7y – 3) (y – 1) = 0
3
y = ,1
7
No relation can be established between x and y
1035. Ans
From I:
5x2 +16x – 16 = 0
5x2 + 20x – 4x – 16 = 0
5x(x + 4) – 4(x + 4) = 0
(x + 4)(5x – 4) = 0
x = -4, 4/5
From II:
5y2– 29y + 20 = 0
5y2 – 25y – 4y + 20 = 0
5y(y – 5) – 4(y – 5) = 0
(y – 5)(5y – 4) = 0
y = 5, 4/5
So, y ≥ x.
1036. Ans
16x + 11y = 154
3
II. 𝑦 2 + 15𝑦 + 56 = 0
𝑦 2 + 8𝑦 + 7𝑦 + 56 = 0
𝑦(𝑦 + 8) + 7(𝑦 + 8) = 0
(𝑦 + 7)(𝑦 + 8) = 0
𝑦 = −7, − 8
So 𝑥 > 𝑦
1032. Ans.
From I, x2 - 25x + 154 = 0
x2 – 11x - 14x + 154 = 0
x (x – 11) – 14 (x – 11) = 0
(x – 11)(x - 14) = 0
x = 11, 14
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
524
@Crossword2022
11x + 16y = 89
On solving these two equations
x =11 and y = – 2
x>y
1037 . Ans
I.√625𝑥 2 – 375 = 0
⇒ 625𝑥 2 = 3752 ⇒ x = ±15
II.√2116𝑦– 736 = 0
⇒ 46y = 736 ⇒ y = 16
y>x
1038. Ans
I. (2x – 7)² = 25 ⇒ 2x – 7 =± 5
⇒ x = 1, 6
II. (4𝑦 − 1)2 = 9
⇒ 4𝑦 − 1 = ± 3
1
𝑦 = 1, −
x2 – 2x + 3x – 6 = 0
x(x – 2) + 3(x – 2) = 0
(x – 2)(x + 3) = 0
x = 2, -3
From II:
{(7y + 30)/2} = {(16y + 56)/4}
7y + 30 = {(16y + 56)/2}
7y + 30 = 8y + 28
y=2
So, x ≤ y
1042. Ans
From I:
2x2 – 11x + 5 = 0
Or, 2x2 – x – 10x + 5 = 0
Or, x(2x – 1) – 5(2x – 1) = 0
Or, (2x – 1)(x – 5) = 0
Or, x = 1/2 or x = 5
From II:
4y2 = 24y
Or, y2 – 6y = 0
Or, y(y – 6) = 0
Or, y = 0 or y = 6
So, no relation can be established between ‘x’
and ‘y’.
1043. Ans
From I:
x2–36x + 308 = 0
x2– 14x – 22x + 308 = 0
x(x –14) – 22(x – 14) = 0
(x – 14)(x – 22) = 0
x = 14, 22
From II:
y2 – 38y + 360 = 0
y2– 18y – 20y + 360 = 0
y(y – 18) – 20(y – 18) = 0
(y –18)(y – 20) = 0
y = 18, 20
So, no relation can be established between X
and Y.
1044. Ans
I. 104𝑥 2 – 51x – 35 = 0
⇒ 104𝑥 2 – 91x + 40x – 35 = 0
⇒ 13x(8x – 7) + 5(8x – 7) = 0
⇒ (13x + 5) (8x – 7) = 0
⇒ x = -5/13 or x = 7/8
II. 88𝑦 2 + 27y – 91 = 0
⇒ 88𝑦 2 - 77y + 104y – 91 = 0
2
𝑥≥𝑦
1039. Ans
1
I. 𝑥 + = 50/7
Here,
𝑥
50
7
1
=7+
⇒𝑥+ =7+
𝑥
1
7
1
7
Then, x = + 7 or x = +1/7
II. 4𝑦 2 + 4 + 17y = 0
⇒ 4𝑦 2 + 17y + 4 = 0
⇒ 4𝑦 2 + 16y + y + 4 = 0
⇒ 4y (y + 4) + 1 (y + 4) = 0
⇒ (4y + 1) (y + 4) = 0
Then, y = -1/4 or y = -4
1040. Ans
From I:
9x2 + 1944 = 270x
Or, x2 – 30x + 216 = 0
Or, x2 – 12x – 18x + 216 = 0
Or, x(x – 12) – 18(x – 12) = 0
Or, (x – 12)(x – 18) = 0
Or, x = 12 or x = 18
From II:
5y3 = 29160
Or, y3 = 5832
Or, y = 18
So, y ≥ x
1041. Ans
From I:
7x2 = 6x2 - x + 6
x2 + x – 6 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
525
@Crossword2022
⇒ 11y(8y - 7) + 13(8y - 7) = 0
⇒ (11y + 13) (8y - 7) = 0
⇒ y = -13/11 or y = + 7/8
⇒ When x = 7/8, for y = - 13/11, x > y and
for y = +7/8, x = y
⇒ When x = -5/13, for y = - 13/11, x > y and
for y
= + 7/8, x > y
∴ If x = y or no relation can be established
1045. Ans
I: 𝑥 2 – 37x + 342 = 0
⇒ 𝑥 2 – 18x – 19x + 342 = 0
⇒ x (x – 18) – 19 (x – 18) = 0
⇒ (x – 19)(x – 18) = 0 ⇒ x = 18 or 19
II: 𝑦 2 – 34y + 288 = 0
⇒ 𝑦 2 – 18y – 16y + 288 = 0
⇒ y (y – 18) – 16(y – 18) = 0
⇒ (y – 18) (y – 16) = 0
⇒ y = 16 or 18
∴x≥y
1046. Ans
⇒ y² - 4y – 8y + 32 = 0
⇒ y(y – 4) – 8 (y – 4) = 0
⇒ (y – 8) (y - 4) = 0
⇒ y = 8, 4
y>x
1049. Ans
From I:
2x2 – 18x/5 = 5x – 9
Or, 10x2 – 25x – 18x + 45 = 0
Or, 5x(2x – 5) – 9(2x – 5) = 0
Or, (5x – 9)(2x – 5) = 0
Or, x = 9/5 or x = 5/2
From II:
3y4 + 32 = 800
Or, 3y3 = 768
Or, y4 = 256
Or, y = ±4
So, the relationship cannot be established
between x and y
1050. Ans
From I:
3x2 + 57x – 360 = 0
Or, x2 + 19x – 120 = 0
Or, x2 + 24x – 5x – 120 = 0
Or, x(x + 24) – 5(x + 24) = 0
Or, (x + 24)(x – 5) = 0
Or, x = -24 or x = 5
From II:
12y + 524 = 188
Or, 12y = -336
Or, y = -28
So, x > y
1051. Ans
(I) 2𝑥 4 × 𝑥 −2 + 10𝑥– 72 = 0
2𝑥 2 + 10𝑥 − 72 = 0
𝑥 2 + 5𝑥 − 36 = 0
𝑥 2 + 9𝑥 − 4𝑥 − 36 = 0
𝑥(𝑥 + 9) − 4(𝑥 + 9) = 0
x = – 9, 4
(II) 5𝑦 2 + 14𝑦 − 96 = 0
5𝑦 2 + 30𝑦 − 16𝑦 − 96 = 0
5𝑦(𝑦 + 6) − 16(𝑦 + 6) =0
16
y= , −6
1047. Ans
From I, x = 162 – 252
x = 256 - 252
x=4
From II, y= 132 - 158
y= 169 – 158
y = 11
So, y > x
1048. Ans
20
4
I. = 3 +
𝑥²
𝑥
⇒ 3x² + 4x – 20 = 0
⇒ 3x² + 10x – 6x – 20 = 0
⇒ x(3x +10) -2 (3x + 10)= 0
⇒ (x - 2) (3x + 10) = 0
−10
⇒ 𝑥 = 2,
II.
32
𝑦²
3
+1 =
5
No relation can be established between x and y.
1052. Ans
From I:
4x2 = 256
12
𝑦
⇒ y² - 12y + 32 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
526
@Crossword2022
1053
Or, x2 = 64
Or, x = 8 or x = -8
From II:
6y2 = 12y + 480
Or, y2 = 2y + 80
Or, y2 – 2y – 80 = 0
Or, y2 + 8y – 10y – 80 = 0
Or, y(y + 8) – 10(y + 8) = 0
Or, (y – 10)(y + 8) = 0
Or, y = 10 or y = -8
So, no relation can be established between ‘x’
and ‘y’.
From I:
x– 9√𝑥 + 20 = 0
x– 5√𝑥 – 4√𝑥 + 20 = 0
√𝑥 (√𝑥 – 5) – 4(√𝑥 – 5) = 0
(√𝑥 – 5)( √𝑥 – 4) = 0
√𝑥= 5, 4
x = 25, 16
From II:
y – 13√𝑦 + 42 = 0
Or, 4x2 = 900
Or, x2 = 225
Or, x = ±15
From II:
8y2 + 512 = 160y
Or, y2 + 64 = 20y
Or, y2 – 20y + 64 = 0
Or, y2 – 16y – 4y + 64 = 0
Or, y(y – 16) – 4(y – 16) = 0
Or, (y – 16)(y – 4) = 0
Or, y = 16 or y = 4
So, no relation can be established between ‘x’
and ‘y’
1056. Ans
3x2 – 13√2x + 24 = 0
3x2 – 9√2x – 4√2x + 24 = 0
3x(x – 3√2) – 4√2 (x – 3√2) = 0
(3x – 4√2)(x – 3√2) = 0
II. y2 – 4√2y + 6 = 0
y2 – √2y – 3√2y + 6 = 0
y(y – √2) – 3√2 (y – √2) = 0
(y – √2) (y – 3√2) = 0
Y = √2, 3√2
∴ The relationship between x and y cannot be
established
1057. Ans
I. 3x2 – (6 + √5)x + 2√5 = 0
or, 3x2 – 6x – √5x + 2√5 = 0
or, 3x (x – 2) – √5 (x – 2) = 0
or, (3x – √5) (x – 2) = 0
or, x = √5/3, 2
II. 8y2 – (16 + 3√5)y + 6√5 = 0
or, 8y2 – 16y – 3√5y + 6√5 = 0
or, 8y (y – 2) – 3√5 (y – 2) = 0
or, (8y – 3√5) (y – 2) = 0
or, y = 3√5/8, 2
1058. Ans
I. 76x2 + 29√19x + 52 = 0
76x2 + 13√19x + 16√19x + 52 = 0
√19x (4√19x + 13) + 4 (4√19x + 13) = 0
(4√19x + 13) (√19x + 4) = 0
x = – 13/ 4√19, – 4/ √19
II. 35y2 + 8y – 3 = 0
35y2 + 15y – 7y – 3 = 0
5y (7y + 3) – 1 (7y + 3) = 0
(5y – 1) (7y + 3) = 0
y = 1/ 5, – 3/ 7
x<y
y – 7√𝑦 – 6√𝑦 + 42 = 0
√𝑦 (√𝑦 – 7) – 6(√𝑦 – 7) = 0
(√𝑦 – 7)( √𝑦 – 6) = 0
√𝑦 = 7, 6
y = 49, 36
So, x < y.
1054. Ans
From I:
4x2 + 11x – 15 = 0
Or, 4x2 – 4x + 15x – 15 = 0
Or, 4x(x – 1) + 15(x – 1) = 0
Or, (x – 1)(4x + 15) = 0
Or, x = 1 or x = -15/4 = -3.75
From II:
18y2 = 67.5y
Or, 18y2 – 67.5y = 0
Or, y2 – 3.75y = 0
Or, y(y – 3.75) = 0
Or, y = 0 or y = 3.75
So, no relation can be established between
‘x’ and ‘y’.
1055. Ans
From I:
4x2 + 40% of 320 = 1028
Or, 4x2 = 1028 – 0.40 × 320
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
527
@Crossword2022
I. 3x2 – (6 + √17) x + 2 √17 = 0
∴ 3x2 – 6x – √17x + 2 √17= 0
∴ 3x (x – 2) – √17 (x – 2) = 0
∴ (3x – √17) (x – 2) = 0
∴ x1 = 2
1059. Ans
I. 4x2 – (8 + √10)x + 2√10 = 0
4x2 – 8x – √10x + 2√10 = 0
4x(x – 2) – √10 (x – 2) = 0
(4x – √10) (x – 2) = 0
17
3
x 10
2 4
x2 
II. 2y2 – (4 + 3√11)y + 6√11 = 0
= 2y2 – 4y –3√11y + 6√11 = 0
= 2y(y – 2) – 3√11(y – 2) = 0
II. 15y2 + (9 – 10 √17) y – 6 √17 = 0
15y2 – 10 √17y + 9y – 6 √17 = 0
5y (3y – 2 √17) + 3 (3y – 2 √17) = 0
(5y + 3) (3y – 2 √17) = 0
= (2y – 3√11) (y – 2) = 0 =
y 3 11
2 2
y1 
While comparing the root the root values of x
and y, we find that the root values of y is
greater than equal to x.
7 2 2
2 17
3
x  14 2  8 7
⇒ x2 – (√7 + 2√2)x = – 2 √14
⇒ (x – √7) (x – 2√2) = 0 ⇒ x = √7, 2 √2
35 2
 7 2  5 14
II. y 14 
y
Taking √14 common both sides we get,
5 7
 7 5
⇒y
y
⇒ y2 – (√7 + 5)y + 5 √7 = 0
⇒ (y – √7) (y – 5) = 0 ⇒ y = √7, 5
When x = √7 and y = √7 , x = y
When x = √7 and y = 5 , x < y
When x = 2 √2 and y = √7 , x > y
So, relation between x and y can’t be
established.
1065. Ans
5 6 15
,
2
7
II. 6y2 + √21y – 21 = 0
6y2 + (3√21 – 2√21) y – 21 = 0
6y2 + 3 √21y – 2 √21y – 21 = 0
3y (2y + √21) – √21 (2y + √21) = 0
(3y – √21) (2y + √21) = 0
y
y2 
We can see that y 1 < x2 < x 1 < y2
Therefore, the relation can't be determined.
1063. Ans
I. x2 – 14√2x + 96 = 0
x2 – 6√2x – 8√2x + 96 = 0
x(x – 6√2) – 8√2 (x – 6√2) = 0
(x – 6√2)(x – 8√2) = 0
x = 6√2, 8√2
II. y2 – 11.5√2y + 66 = 0
y2 – 6√2y – 5.5√2y + 66 = 0
y(y – 6√2) – 5.5√2 (y – 6√2) = 0
(y – 6√2)(y – 5.5√2) = 0
y = 6√2, 5.5√2
Therefore, x ≥ y
1064. Ans
I.
x
1060. Ans
I. 6x2 – 23√3x + 60 = 0
6x2 – 8√3x – 15√3x + 60 = 0
2x(3x – 4√3) – 5√3 (3x – 4√3) = 0
(2x – 5√3)(3x – 4√3) = 0
x = 2.5√3,1.33√3
II. 2y2 + 3√3y – 15 = 0
2y2 + 5√3y – 2√3y – 15 = 0
y (2y + 5√3) – √3 (2y + 5√3) = 0
(2y + 5√3)(y – √3) = 0
y = √3,– 2.5√3
Therefore, for any value of x and any value of
yx>y
1061. Ans
I. 14x2 – 5 √15x – 90 = 0
14x2 – (12 √15 – 7√15) x – 90 = 0
14x2 – 12√15x + 7 √15x – 90 = 0
2x (7x – 6 √15) + √15 (7x – 6 √15) = 0
(2x + √15) (7x – 6√15) = 0
x
3
5
21
21
,
3
2
1062. Ans
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
528
@Crossword2022
I. x2 – 4√3x + 9 = 0
x2 – 3√3x – √3x + 9 = 0
x(x – 3√3) – √3 (x – 3√3) = 0
(x – 3√3)(x – √3) = 0
x = √3, 3√3
II. y2 – √3y – 18 = 0
y2 + 2√3y – 3√3y – 18 = 0
y(y + 2√3) – 3√3 (y + 2√3) = 0
(y + 2√2)(y – 3√3) = 0
y = –2√3, 3√3
For x = 3√3, and y = 3√3 x = y
For x = 3√3, and y = –2√3 x > y
For x = √3, and y = –2√3 x > y
For x = √3, and y = 3√3 x < y
1066. Ans
From quantity I: Sum of three numbers is
56. Difference between highest and lowest
number is 16. If the middle number is 7
more than the lowest number.
Let the numbers: a (lowest), b (middle) and
c (highest)
c = 16 + a
b=7+a
And, a + b + c = 56
Then, a + (7 + a) + (16 + a)= 56
a = 11
Therefore, highest number
= a + 16 = 11 + 16 = 27
Then, quantity I = 27
From quantity II: 3a 2 - 101a + 540 = 0
3a 2 - 20a - 81a + 540 = 0
(3a - 20)(a - 27) = 0
a = 20/3, 27
Therefore, quantity II
= 20/3, 27
Hence, Quantity I ≥ Quantity II
1067. Ans
Let the quantities of zinc and copper in
mixture A are 5x and 6x respectively.
And the quantities of zinc and copper in
mixture B are 8y and 5y respectively.
From the question(5x + 8y) = (6x + 5y)
x = 3y .......(i)
Again from the question6x - 5y = 39
6*3y - 5y = 39 {from equation (i)}
18y - 5y = 39
y=3
x=9
Quantity 1:
The quantity of zinc in mixture A
= 5*9 = 45 kg
The quantity of zinc in mixture B
= 8*3 = 24 kg
Required difference
= 45 - 24 = 21 kg
Quantity 2:
= √441= +21
Hence, Quantity 1 = Quantity 2
1068. Ans
For A = 1
Quantity I: 1
Quantity II: B = 1-3 + 1 = 1/1 3 + 1 = 1 + 1
=2
=>Quantity I < Quantity II
For A = 0
Quantity I: 0
Quantity II:
B = 0-3 + 1 = 1/03 + 1 = 1/0 + 1
= Not defined
=>No relation can be established
For A = -1
Quantity I: -1
Quantity II: B= (-1)-3+(-1) =-2
=>Quantity I > Quantity II
Hence, No relation can be established
1069. Ans
From quantity I:
= (12064)125 = (120)8000 = (1202)4000
From quantity II:
= (10260)200 = (102)12000 = (1023)4000
Here, square of 120 is a 5 digit number but
cube of 102 is a 7 digit number.
So,(120 2)4000 < (1023)4000.
Hence, Quantity I < Quantity II
1070. Ans
p(q2r + qr2) = 3pqr
pqr(q + r) = 3pqr
q+r=3
From quantity I:
q = 3/2r
qr = 3/2
Then, q2 + r2 = (q + r)2 - 2qr
= 32 - 2 * 3/2 = 6
From quantity II:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
529
@Crossword2022
√(3p) = 2(r + q)
3p = 4 * 3 2
p = 12
Hence, Quantity I < Quantity II
1071. Ans
From equation I:
x2 +45x +504 = (x + 24)(x + 21)= 0
=> x = -24, -21
From equation II:
y2 +13y -168 = (y -8)(y + 21) = 0
=> y = 8, -21
X=X = -24
21
Y=8
x<y
x<y
Y = -21 x < y
x=y
So, x ≤ y
1072. Ans
From equation I:
x2 -35x +276 = (x -23)(x -12)= 0
=> x = 23, 12
From equation II:
y2 -18y +72 = (y -6)(y -12) = 0
=> y = 6, 12
X = 23
X = 12
Y=6
x>y
x>y
Y = 12
x>y
x=y
So, x ≥ y
1073. Ans
From equation I:
x2 +2x -143 = (x -11)(x + 13)= 0
=> x = 11, -13
From equation II:
y2 -18y +56 = (y -14)(y -4) = 0
=> y = 14, 4
X = 11
X = -13
Y = 14
x<y
x<y
Y=4
x>y
x<y
So, relationship cannot be established
between x and y
1074. Ans
From equation I:
9x2 +18x -16 = (3x -2)(3x + 8)= 0
=> x = 2/3, -8/3
From equation II:
y2 +25y +84 = (y + 4)(y + 21) = 0
=> y = -4, -21
X = 2/3
X = -8/3
Y = -4
x>y
x>y
Y = -21
x>y
x>y
So, x > y
1075. Ans
From equation I:
x2 -9x +20 = (x -4)(x -5)= 0
=> x = 4, 5
From equation II:
10y2 -3y -18 = (5y + 6)(2y -3) = 0
=> y = -6/5, 3/2
X=4
X=5
Y = -6/5
x>y
x>y
Y = 3/2
x>y
x>y
So, x > y
1076. Ans
Here, A 3B2 < 0
As we know even power of a number (either
it is negative or positive) gives positive
value. So, B 2 > 0
And, B can be positive or negative. But
A3 will be negative and odd power of a
negative number gives negative value. So, A
<0
Now, in A 5 + B5 > 0
A5 is negative as odd power of a negative
number gives negative value. So, B 5 will be
positive and B is also positive, i.e.,
B>0
From quantity I:
A<0
Quantity I < 0
From quantity II:
B>0
Quantity II > 0
From quantity III:
(A - B) will be negative because positive
number is subtracted from a negative
number.
Quantity III < 0
Hence, Quantity I < Quantity II > Quantity III
1077. Ans
Here, B 3 < 0, so, B < 0 (because odd power
of a negative number gives negative value.)
Then, B + C > 0 is possible only if C > 0 and
also, numerical value of C is greater than B.
D >0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
530
@Crossword2022
And, A + D < 0 is possible if A < 0 and also,
numerical value of D is less than A.
Numerical value of C > Numerical value of B
= Numerical value of A > Numerical value of D
Therefore, C > D
Both A and B are negative, and their
numerical value is equal. So, A = B
From quantity I: Value of A3D2
= negative3 * positive2 = negative
From quantity II: Value of B3C2
= negative3 * positive2 = negative
Both quantity I and quantity II are negative,
and value of B and A are equal. But C > D,
so, numerical value of C 2 will be more than
numerical value of D 2.
And, Value of A 3D2 > Value of B 3C2
Hence, Quantity I > Quantity II
1078. Ans
A = 96 * (144 32)22
= 12 * 8 * (12 64)22
= 8 * 12 1409
B = 720 * (12 1407)
= 5 * 12 2 * 121407
= 5 * 12 1409
C = (1728 26)18 * 124
= (1278)18 * 124 = 121408
From quantity I: A + B
= 8 * 12 1409 + 5 * 121409 = 13 * 12 1409
= (13 * 12) * 12 1408 = 156 * 12 1408
Quantity I = 156 * 12 1408
From quantity II: B + C
= 5 * 12 1409 + 121408 = (5 * 12 + 1) *
121408 = 61 * 121408
Quantity II = 61 * 12 1408
From quantity III: A + C
= 8 * 12 1409 + 121408 = (8 * 12 + 1) *
121408 = 97 * 12 1408
Quantity II = 97 * 12 1408
Hence,
Quantity I > Quantity II < Quantity III
1079. Ans
Here, D > 0 and D < C
Also, B < 0
Then, in A + B > D, A will be positive, and
its numerical value is greater than both B
and D.
From quantity I:
Value of AC/B =
(positive)(positive)/(negative) = negative
So, AC/B < 0
From quantity II:
Value of D + C = positive + positive
= positive
So, D + C > 0
From quantity III:
Value of (A + C)/(D - A)
= (positive + positive)/(positive - positive)
= negative (because A > D and when a
larger positive number is subtracted from a
smaller positive number, then it gives
negative value.)
Hence, Quantity I < Quantity II > Quantity III
1080. Ans
2x + 3 = 5/x
2x2 + 3x - 5 = 0
2x2 + 5x - 2x - 5 = 0
x (2x + 5) - 1 (2x + 5) = 0
(2x + 5) (x - 1) = 0
x = 1 and -5/2
II: (2y + 11)/5 + 4/y = 1/y
2y2 + 11y + 15 = 0
2y2 + 6y + 5y + 15 = 0
2y (y + 3) + 5 (y + 3) = 0
(y + 3) (2y + 5) = 0
y = -3 and -5/2
'x'
Relation 'y'
1
>
-3
1
>
-5/2
-5/2
>
-3
-5/2
=
-5/2
Hence, x ≥ y
1081. Ans
x + 81/4x = 9
4x2 - 36x + 81 = 0
4x2 - 18x - 18x + 81 = 0
2x (2x - 9) - 9 (2x - 9) = 0
(2x - 9)2 = 0
x = 9/2
II: y2 + 11 = (17y - 11)/2
2y2 - 17y + 33 = 0
2y2 - 11y - 6y + 33 = 0
y (2y - 11) - 3 (2y - 11) = 0
(2y - 11) (y - 3) = 0
y = 11/2 and 3
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
531
@Crossword2022
From II:
y2 + 20y + 96 = 0
Or, y2 + 12y + 8y + 96 = 0
Or, y(y + 12) + 8(y + 12) = 0
Or, (y + 8)(y + 12) = 0
Or, y = -8 or y = -12
So, y ≥ x
1086. Ans
Quantity I:
2n2 - 7n - 30 = 0
n = 6, - 5/2
Quantity II:
So, number of students who scored 80% and
above
= 105 - 35 - 40 = 30
So, average
= 30/2 = 15
Quantity I < Quantity II
1087. Ans
A:
'x' Relation 'y'
9/2 <
11/2
9/2 >
3
Hence, relation between 'x' and 'y' cannot
be determined.
1082. Ans
Quantity I:
Let the speed of the river be 'v' km/hr. So,
distance covered = 2.5v
Now, 2.5v = (30 - v) * 0.5
v=5
Quantity II:
Value of 'x' if x 2 - 4 = 2x
x2 - 2x - 4 = 0
x = 1 + √5, 1 - √5
5 > (1 + √5) and 5 > (1 - √5)
So, Quantity I > Quantity II
1083. Ans
Quantity I:
The ratio of share of profit of A, B ands C
= (16000 * 6 + 20000 * 6): (20000 * 6 +
28000 * 6): 24000 * 12 = 3: 4: 4
Required % = 1/3 * 100 = 33.33%
Quantity II:
x% of (450 + 380 - 30) = 500
=> x/100 * 800 = 500
=> x = 500/8 => x = 62.5%
Hence, Quantity I < Quantity II
1084. Ans
From I:
2x2 – 17x + 35 = 0
Or, 2x2 – 10x – 7x + 35 = 0
Or, 2x(x – 5) – 7(x – 5) = 0
Or, (2x – 7)(x – 5) = 0
Or, x = 7/2 or x = 5
From II:
3y3 = 648
Or, y3 = 216
Or, y = 6
So, y > x
1085. Ans
From I:
x2 + 24x + 144 = 0
Or, x2 + 12x + 12x + 144 = 0
Or, x(x + 12) + 12(x + 12) = 0
Or, (x + 12)(x + 12) = 0
Or, x = -12 or x = -12
B:
Quantity I:
Value of q = a m
Quantity II:
Value of 'p/q' = a 2m/am = a2m - m = a m
Hence, Quantity I = Quantity II
1088. Ans
Quantity I:
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
532
@Crossword2022
Let present age of N = 4x years
And present age of A = 3x years
Given,
4x - 3x = 7
x=7
So, present age of A = 3* 7 = 21 years
Age of A after 6 years
= 21 + 6 = 27 years
Quantity II:
Let present age of P is 3x years and present
age of N is 4x years.
ATQ,
3x + 10 + 4 = 4x + 4
X = 10
So, present age of P = 3* 10 = 30 years
Hence, Quantity I < Quantity II
1089. Ans
Quantity I:
Let cost price of the shirt is Rs. X
SP = 86/100 * X = 0.86X
And if SP = 0.86X + 950, then profit %
= 24%
(0.86X + 950 - X)/X = 0.24
=> 0.86X - X - 0.24X = -950
=> 0.38X = 950
=> X = 2500
Quantity II:
Let CP = Rs. 100x
SP = Rs. 128x
New CP = Rs. 92x
And New SP = (128x + 20)
Profit % = 40%
(128x + 20 - 92x)/92x * 100 = 40
=> x = 25
Therefore, CP = 100 * 25 = Rs. 2500
Hence, Quantity I = Quantity II
1090. Ans
9/x - 12/x2 + 4/x3 = 0
9x2 - 12x + 4 = 0
9x2 - 6x - 6x + 4 = 0
3x (3x - 2) - 2 (3x - 2) = 0
(3x - 2)2 = 0
x = 2/3
II:
6y + 2/y = 7
6y2 - 7y + 2 = 0
6y2 - 4y - 3y + 2 = 0
2y (3y - 2) - 1 (3y - 2) = 0
(3y - 2) (2y - 1) = 0
y = 2/3 and 1/2
'x' Relation 'y'
2/3 =
2/3
2/3 >
1/2
Hence, x ≥ y
1091. Ans
From equation I:
x2 -31x +210 = (x -10)(x -21)= 0
=> x = 10, 21
From equation II:
y2 +20y -44 = (y -2)(y + 22) = 0
=> y = 2, -22
X = 10 X = 21
Y=2
x>y
x>y
Y = -22 x > y
x>y
So, x > y
1092. Ans
From equation I:
x2 -23x +102 = (x -17)(x -6)
= 0 => x = 17, 6
From equation II:
y2 -40y +391 = (y -23)(y -17)
= 0 => y = 23, 17
X = 17 X = 6
Y = 23 x < y
x<y
Y = 17 x = y
x<y
So, x ≤ y
1093. Ans
From equation I:
x2 -40x +391 = (x -23)(x -17)
= 0 => x = 23, 17
From equation II:
y2 -29y +204 = (y -12)(y -17)
= 0 => y = 12, 17
X = 23 X = 17
Y = 12 x > y
x>y
Y = 17 x > y
x=y
So, x ≥ y
1094. Ans
Quantity I:
Since, x2 – 7x = (21x – 128)/5
Or, 5x2 – 35x – 21x + 128 = 0
Or, 5x2 – 56x + 128 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
533
@Crossword2022
Or, 5x2 – 40x – 16x +128 = 0
Or, 5x(x – 8) – 16(x – 8) = 0
Or, (5x – 16)(x – 8) = 0
Or, x = 8 or x = 16/5
Quantity II:
Since, x2 + 50 = 14.25x
Or, x2 + 50 = 57x/4
Or, 4x2 – 57x + 200 = 0
Or, 4x2 – 32x – 25x + 200 = 0
Or, 4x(x – 8) – 25(x – 8) = 0
Or, (4x – 25)(x – 8) = 0
Or, x = 25/4 or x = 8
Quantity III:
Since, x2/36 – 2x/9 + 3 = 2x/3 – 7/3
Or, x2 – 8x + 108 = 24x - 84
Or, x2 – 32x + 192 = 0
Or, x2 – 24x – 8x + 192 = 0
Or, x(x – 24) – 8(x – 24) = 0
Or, (x – 8)(x – 24) = 0
Or, x = 8 or x = 24
Quantity I
8
8
16/5
16/5
Relation
>
=
<
<
Quantity II
25/4
8
25/4
8
Relation
<
=
<
<
Or, x2 – 32x + 16x – 512 = 0
Or, x(x – 32) + 16(x – 32) = 0
Or, (x – 32)(x + 16) = 0
Or, x = 32 or x = -16
Quantity I
Relation
Quantity II
Relation
-24
<
-16
=
-12
>
-16
<
Quantity III
-16
32
So, no relation can be established between
Quantity I and Quantity II and Quantity III ≥
Quantity II
1096. Ans
Quantity I:
According to the question,
(2 × 1038 – 8 × 1036) – (2 × 1036 + a × 1036) is
divisible by 3
Or, 1036{(200 – 8) – (2 + a)} is divisible by 3
Or, 1036{(200 – 2) – (8 + a)} is divisible by 3
Or, 1036 × {198 – (8 + a)} is divisible by 3
Since, 1036 × 198 is divisible by 3
Therefore, if (8 + a) is divisible by 3, then
minimum value of a = 1
Quantity II:
So, b ≤ 1
1097. Ans
From I:
x2 + 384 = 40x
Or, x2 – 40x + 384 = 0
Or, x2 – 24x – 16x + 384 = 0
Or, x(x – 24) – 16(x – 24) = 0
Or, (x – 24)(x – 16) = 0
Or, x = 24 or x = 16
From II:
2y2 + 272 = 49y
Or, 2y2 – 49y + 272 = 0
Or, 2y2 – 17y – 32y + 272 = 0
Or, y(2y – 17) – 16(2y – 17) = 0
Or, (y – 16)(2y – 17) = 0
Or, y = 16
or y = 17/2
X
Relation
Y
24
>
16
24
>
8.5
16
=
16
16
>
8.5
So, y ≤ x
1098. Ans
From I:
(x + 16)2 = 13 – 4x
Quantity III
8
8
24
24
So, Quantity I # Quantity II ≤ Quantity III
1095. Ans
Quantity I:
Since, [(x2 + 4x + 28)/(x2 – 4x – 37)] = 4/5
Or, 5x2 + 20x + 140 = 4x2 – 16x – 148
Or, x2 + 36x + 288 = 0
Or, x2 + 24x + 12x + 288 = 0
Or, x(x + 24) + 12(x + 24)
Or, (x + 12)(x + 24) = 0
Or, x = -24 or x = -12
Quantity II:
Since, [(x2 + 4x)/(x – 64 + 2x2)] = 4/9
Or, 9x2 + 36x = 8x2 + 4x – 256
Or, x2 + 32x + 256 = 0
Or, x2 + 16x + 16x + 256 = 0
Or, x(x + 16) + 16(x + 16) = 0
Or, (x + 16)(x + 16) = 0
Or, x = -16 or x = -16
Quantity III:
Since, x2/24 – 64/3 = 2x/3
Or, x2 – 512 = 16x
Or, x2 – 16x – 512 = 0
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
534
@Crossword2022
Or, x2 + 32x + 256 = 13 – 4x
Or, x2 + 36x + 243 = 0
Or, x2 + 27x + 9x + 243 = 0
Or, x(x + 27) + 9(x + 27) = 0
Or, (x + 27)(x + 9) = 0
Or, x = -27 or x = -9
From II:
(y + 20)2 = –84 – 4y
Or, y2 + 40y + 400
= – 84 – 4y
Or, y2 + 44y + 484 = 0
Or, y2 + 22y + 22y + 484 = 0
Or, y(y + 22) + 22(y + 22) = 0
Or, (y + 22)(y + 22) = 0
Or, y = -22 or y = -22
X
Relation
Y
-27
<
-22
-9
>
-22
So, no relation can be established between ‘x’
and ‘y’.
1099. Ans
Here, (1/A) + (1/B) = 11/120
(1/B) + (1/C) = 3/40
Efficiency ratio, B: C = 125/100 = 5: 4
Time ratio, B: C = 4: 5
Then, B = 4C/5
(5/(4C)) + (1/C) = 3/40
C = 30 days
B = 4 * 30/5 = 24 days
And, (1/A) + (1/24) = 11/120
A = 20 days
Quantity I:
Time taken by Aman and Chaman together
to complete the 60% work
= 60% of (1/((1/20) + (1/30)))
= 7.2 days
Then, quantity I = 7.2
Quantity II:
Case 1: D = 6 + 20 = 26 days
Then, time taken by Balram and Dhawan
together to complete the whole work
= 1/((1/24) + (1/26)) = 12.48 days
Case 2: D = 20 - 6 = 14 days
Then, time taken by Balram and Dhawan
together to complete the whole work
= 1/((1/24) + (1/14))
= 8.84 days
Therefore, quantity II
= 12.48, 8.84
Hence, Quantity I < Quantity II
1100. Ans
Quantity I:
Rs. 2480
Quantity II:
Perimeter of square plot
= 4200/15
= 280 m
=> 4a = 280
Side (a) = 280/4 = 70 m
Radius of the circle
= 70 - 42 = 28 m
So, circumference of the circular land
= 2 * 22/7 * 28 = 176 m
Hence, total cost of fencing circular land =
176 * 15 = Rs. 2640
Therefore, Quantity I < Quantity II
1101. Ans
Number of shirts that can be sewn by Anuj
and Bala together in 1 day = 48/8 = 6 shirts
Let the efficiency of Anuj be x shirts/day
and Bala be (6 - x) shirts/day.
12x + 18(6 - x) = 84
6x = 108 - 84 = 24
x=4
Quantity I:
Efficiency of Anuj = 4 shirts/day
Efficiency of Bala = 2 shirts/day
Amount received by Anuj per shirt
= Rs. 320/shirt
Amount received by Bala per shirt
= Rs. 400/shirt.
Total amount received by Anuj and Bala
together = 30*4*320 + 40*2*400
= Rs. 70400
Quantity I > Quantity II
1102. Ans
Let the time taken by train A be t and time
taken by train B be T.
Maximum time taken by train A to complete
the journey of 480 km
= 480/36 + 3*10/60 = 13 hours 50
minutes.
Minimum time taken by train A to complete
the journey of 480 km
= 480/72 + 3*10/60 = 7 hours 10 minutes.
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
535
@Crossword2022
Maximum time taken by train B to complete
the journey of 360 km
= 360/40 + 5*15/60 = 10 hours 15
minutes.
Minimum time taken by train B to complete
the journey of 360 km
= 360/60 + 5*15/60 = 7 hours 15 minutes.
7 hours 10 minutes ≤ t ≤ 13 hours 50
minutes
7 hours 15 minutes ≤ T ≤ 10 hours 15
minutes
Quantity I:
14 hours 25 minutes ≤ t + T ≤ 24 hours 05
minutes.
Quantity II:
15 hours
So, Quantity I ≤ Quantity II or Quantity I ≥
Quantity II
Hence, the relation between Quantity I and
Quantity 2 cannot be determined.
1103. Ans
Quantity I:
Let cost price of the jacket is Rs. X
SP = 86/100 * X = 0.86X
And if SP = 0.86X + 950, then profit %
= 24%
(0.86X + 950 - X)/X = 0.24
=> 0.86X - X - 0.24X = -950
=> 0.38X = 950
=> X = 2500
Quantity II:
Let CP = Rs. 100x
SP = Rs. 128x
New CP = Rs. 92x
And New SP
= (128x + 20)
Profit % = 40%
(128x + 20 - 92x)/92x * 100 = 40
=> x = 25
Therefore, CP
= 100 * 25 = Rs. 2500
Hence, Quantity I = Quantity II
1104. Ans
Quantity I:
Let present age of Nishu
= 4x years
And present age of Aashu
= 3x years
Given,
4x - 3x = 7
x=7
So, present age of Aashu = 3* 7
= 21 years
Age of Aashu after 6 years
= 21 + 6 = 27 years
Quantity II:
Let present age of Parul is 3x years and
present age of Nishi is 4x years.
ATQ,
3x + 10 + 4 = 4x + 4
X = 10
So, present age of Parul
= 3* 10 = 30 years
Hence, Quantity I < Quantity II
For Free Study Material & Quizzes visit : www.mathsbyarunsir.com
For any queries or suggestions email us:-Support@mathsbyarunsir.com or whatsapp @ 8881331466
536
@Crossword2022
Printed Book Available On