Percentage -1
1.
1.14 expressed as a per cent of 1.9 is
(a) 6%
2.
(b) 7
(c) 8
(b) Rs 7862
(c) Rs SOOO
(d) Rs 8500
In the expression xy2, the values of both variables x and y are decreased by 20%. By this, the
value of the expression is decreased by
(c) 48.8%
(d) 51.2%
72% of the students of a certain class took Biology and 44% took Mathematics. If each student
took at least one of Biology or Mathematics and 40 students took both of these subjects, the
total number of students in the class is
(a) 200
8.
(d) Rs90
The value of a commodity depreciates 10% annually. If it was purchased 3 years ago and its
present value is Rs 5,832, what was its purchase price?
(a) 40% (b) 80%
7.
(c) Rs75
(b) 480 (c) 500 (d) 580
(a) Rs 7200
6.
(d) 13
In a test, a student got 30% marks and failed by 25 marks. In the same test, another student
got 40% marks and secured 25 marks more than the essential minimum pass marks. The
maximum marks for the test were
(a) 400
5.
(d) 90%
The cost of an article was Rs 75. The cost was first increased by 20% and later on it was
reduced by 20%. The present cost of the article is
(a) Rs72 (b) Rs 60
4.
(c) 60%
Rama's expenditures and savings are in the ratio 5: 3. If her income increases by 12% and
expenditure by 15%, then by how much per cent to her savings increase?
(a) 12
3.
(b) 10%
(b) 240 (c) 250 (d) 320
A student has to secure 15% marks to get through If he gets 80 marks and fails by 70 marks,
find the maximum marks set for the examination,
(a) 900
(b) 1000
(c) 1200
(d) 1400
9.
From the salary of an officer, 10% is deducted as house rent, 15% of the rest he spends on
children's education and 10% of the balance, he spends on clothes. After this expenditure he is
left with Rs 1377. His salary is
(a) Rs2000
(b) Rs2040
(c) Rs2100
(d) Rs2200
10.
Ram's salary is increased from Rs 630 to Rs 700. Find the increase per cent.
(a) 101%
11.
102
(d)
103
(e) None
(b) 2
(c) 2.5 (d) 1.5
Ram and Mohan appeared in an examination. If the difference in their marks is 60 and
percentage difference in their marks is 30, find the full marks for which the examination has
been held.
(a) 200
13.
(c)
The population of a town increases from 70,000 to 71,050. What is the percentage increase?
(a) 1
12.
(b) 111 %
(b) 100 (c) 300 (d) 400
25% of a number is 20. What is 40% of that number?
(a) 30
(b) 32 (c) 35 (d) 31
14.
A cask containing 425 litres of milk lost 8% due to leakage. How many litres were left in the
cask?
(a) 340 litres
15.
A shopkeeper marks the price of his goods 20% higher than the original price. After that he
allows a discount of 10%. What profit or loss did he get?
(b) Profit 8%
(c) Loss 5%
The daily wage is increased by 25% and a person now gets Rs 25 per day. What was his daily
wage before the increase?
(c) Rs22
(b) 400/19%
(c) 90%
(b)
(c) z = 2x
(d)
None of above
Total number of boys and girls in a school is 150. If the number of boys is x, then girls become
x% of the total number of students. The number of boys is
(b) 60
(c) 70
(d) 80
A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total
score did he make by running between the wickets.
(a)
25.
(d) 80%
2z = x
(a) 50
24.
(d) 650/19%
If x% of y is 100 and y% of z is 200, then find the relation between x and z.
(a) z = x
23.
(c) 600/19%
Two numbers are respectively, 20% and 50% more than a third. What percentage is the first of
the second?
(a) 70% (b) 60%
22.
(d) Rs24
Due to fall in manpower, the production in a factory decreases by 24%. By what percent should
the working hour be increased to restore the original production level?
(a) 450/19%
21.
(d) Deficit 2/5%
(b) 21 (c) 25 (d) 27
(a) Rs20 (b) Rs21
20.
(c) Deficit 1/2%
One type of liquid contains 25% milk, the other contains 30% milk. A can is filled with 6 parts
of the first liquid and 4 parts of the second liquid. Find the percentage of milk in the new
mixture
(a) 20
19.
(d) Loss 7%
In measuring the sides of a rectangle one side is taken 5% in excess and the other 4% in
deficit. Find the error per cent in area calculated from the measurement.
(a) Excess 4/5% (b) Excess 3/5%
18.
(d) 389 litres
(b) 30 (c) 28 (d) 25
(a) Profit 10%
17.
(c) 334 litres
Out of a class of 38 girls, 3 were absent and 20% of the remainder failed to do homework. How
many girls did the homework?
(a) 35
16.
(b) 391 litres
40%
(b) 50%
(c) 60%
(d) 70%
One fourth of one third of two fifth of a number is 15. What will be40% of that number
(a) 140
(b) 150
(c) 180
(d) 200
Percentage- 2
1.
A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total
score did he make by running between the wickets?
A. 45%
B. 45 5/11 %
11 C. 54 6/11 %
D. 55%
2.
Two students appeared at an examination. One of them secured 9 marks more than the other
and his marks was 56% of the sum of their marks. The marks obtained by them are:
A.
3.
42, 33 D.
43, 34
588 apples
B.
600 apples C. 672 apples
D.
700 apples
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
A. 1
5.
41, 32 C.
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
A.
4.
39, 30 B.
B. 14
C. 20 D. 21
If A = x% of y and B = y% of x, then which of the following is true?
A. A is smaller than B.
B. A is greater than B C. Relationship between A and B cannot be
determined.
D. If x is smaller than y, then A is greater than B.E. None of these
6.
If 20% of a = b, then b% of 20 is the same as:
A. 4% of a
7.
10.
B.
80
C.
120
D.
150
E.
100
2:3
B.
1:1
C.
3:4
D.
4:3
A. 34%
D.
B.
44% C.
54%
64%
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes
were invalid. If the total number of votes was 7500, the number of valid votes that the other
candidate got, was:
2700
B.
2900 C.
3000
D.
3100
Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120
percent of the sum paid to Y, how much is Y paid per week?
Rs. 200 B.
Rs. 250 C.
Rs. 300 D.
None of these
Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on
sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free
items?
A.
14.
None of these
instead of 5 /3 What is the percentage error in the
A.
13.
D.
A student multiplied a number by 3/5
calculation?
A.
12.
20% of a
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of
6% of A and 8% of B. Find the ratio of A : B.
A.
9.
5% of a C.
In a certain school, 20% of students are below 8 years of age. The number of students above 8
years of age is of the number of students of 8 years of age which is 48. What is the total
number of students in the school?
A. 72
8.
B.
Rs. 15 B.
Rs. 15.70
C. Rs. 19.70
D.
Rs. 20
Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he
pays sales tax @ 10%. Find the amount he will have to pay for the goods.
A.
Rs. 6876.10
B.
Rs. 6999.20 C. Rs. 6654
D.
Rs. 7000
15. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent
increase of population per year is:
A.
16.
4.37% B.
5% C.
6%
D. 8.75%
Two numbers are less than third number by 30% and 37% respectively. How much percent is
the second number less than by the first
A. 8%
17.
B.
Rs. 10.36
D. 150
C. 25
D. 24
How many litres of pure acid are there in 8 litres of a 20% solution
B.
1.6
C. 1.7
D. 1.8
A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item,
approximately how much percent she saved in the transaction
B.
10%
C.
11%
D. 12%
If number x is 10% less than another number y and y is 10% more than 125, then find out the
value of x
B.
123.65
C.
123.75
D. 123.85
Raman's salary was decreased by 50% and subsequently increased by 50%. How much percent
does he loss.
A. 75
25.
D. 46%
C. 125
B. 26
A. 123.55
24.
D. Rs. 12.36
In a hotel, 60% had vegetarian lunch while 30% had non-vegetarian lunch and 15% had both
type of lunch. If 96 people were present, how many did not eat either type of lunch ?
A. 9%
23.
C. 44%
B. 100
A. 1.5
22.
C. Rs. 11.36
Out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football
nor cricket. How many students play both football and cricket?
A. 27
21.
B.
B. 42%
A. 75
20.
D. 11%
In an examination, 34% of the students failed in mathematics and 42% failed in English. If
20% of the students failed in both the subjects, then find the percentage of students who
passed in both the subjects.
A. 40%
19.
C. 10%
Due to an increase in 30% in the price of eggs, 3 eggs less are available for Rs. 7.80. Find the
present rate of eggs per dozen.
A. Rs. 9.36
18.
9%
B. 65
C. 45
D. 25
A student multiplied a number by 3/5 instead of 5/3. What is the percentage error.
A. 64%
B. 65%
C.
66%
D. 67%
RATIO & PROPORTION-1
1.
A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount
does B have?
A.
2.
Rs. 484 C.
Rs. 550 D.
Rs. 664
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two
numbers is:
A.
3.
Rs. 460 B.
2:5
B.
3:5
C.
4:5
D.
6:7
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C
gets Rs. 1000 more than D, what is B's share?
A.
Rs. 500 B.
Rs. 1500 C.
Rs. 2000
D.
None of these
4.
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a
proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of
increased seats?
A.
5.
2 : 3 : 4B.
8:9
Rs. 20,000
C.
Rs. 25,500
D.
Rs. 38,000
1.12
B.
1.2 C. 1.25
D.
1.30
20
B.
30 C.
48
D.
58
Rs. 182 B.
Rs. 190 C.
Rs. 196 D.
Rs. 204
B.
10 : 11 : 20 C. 23 : 33 : 60
D.
Cannot be determined
2:5
B.
3:7
C.
5:3
D.
D.
20
7:3
18
B.
24 C.
19
27
B.
33
C.
49
D.
55
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all,
how many 5 p coins are there?
50
B.
100 C. 150
D.
200
The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a
ratio less than 16 : 21, is
A. 3
17.
B.
Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the
ratio 12 : 23. The smaller number is:
A.
16.
Cannot be determined
The fourth proportional to 5, 8, 15 is:
A.
15.
21 : 22 D.
If 40% of a number is equal to two-third of another number, what is the ratio of first number
to the second number?
A.
14.
17 : 18 C.
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are
allowed respectively in their salaries, then what will be new ratio of their salaries?
A.
13.
B.
Rs. 17,000
A. 3 : 3 : 10
12.
D. 60 liters
If Rs. 782 be divided into three parts, proportional to : : , then the first part is:
A.
11.
C. 50 liters
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second
to the third is 5 : 8, then the second number is:
A.
10.
B. 30 liters
If 0.75 : x :: 5 : 8, then x is equal to:
A.
9.
None of these
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000,
the new ratio becomes 40 : 57. What is Sumit's salary?
A.
8.
6 : 8 : 9D.
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the
number of boys and girls be 20% and 10% respectively, what will be the new ratio?
A.
7.
C.
In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the
quanity of water to be further added is
A. 20 liters
6.
6:7:8
B.
4
C.
5
D.
6
The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the
second to the third is 5:8, then the second number is
A. 10
B.
17
C.
25
D. 30
18.
Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs 4000, the
new ratio becomes 40:57. What is Sumit present salary.
A. 32000
19.
B.
Rs. 480
C.
Rs 478
D. Rs 470
B.
2:7
C.
5:7
D. 5:3
B.
Rs 20
C. Rs 24
D.
Rs 28
B. 520
C. 620
D. 720
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two
numbers is
A. 2:5
24.
B.
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total
number of students in the college is
A. 420
23.
D. 40000
Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less
than C's. What is B's share
A. Rs 10
22.
38000
If 40% of a number is equal to two-third of another number, what is the ratio of first number
to the second number.
A. 2:5
21.
C.
A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount. How
much amount B have.
A. Rs 484
20.
34000
B. 3:5
C. 4:5
D. 6:5
A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of
the hare, the ratio of the speed of the dog to that of the hare is
A. 4:5
B. 9:5
C. 8:5
D. 9:2
RATIO & PROPORTION: 2
1.
A box has 210 coins of denominations one-rupee and fifty paise only. The ratio of their
respective values is 13 : 11. The number of one-rupee coins is:
(a) 65 (b) 66 (c) 77 (d) 78
2.
The total marks obtained by Atom in English and Mathematics are 170. If the difference
between his marks in these two subjects is 10, then the ratio of his marks in these subjects
is:
(a) 7:8 (b) 8 :7
3.
The bus fare and train fare of a place from Kolkata were Rs. 20 and Rs. 30 respectively. Train
fare has been increased by 20% and the bus fare has been increased by 10%. The ratio of
new train fare to new bus fare is:
(a) 11:18
4.
(b) 18:11
(c) 5:3 (d) 3:5
In a bag, there are three types of coins 1-rupee, 50 paise and 25-paise in the ratio of 3 : 8 :
20. Their total value is Rs. 372. The total number of coins is:
(a) 1200
5.
(c) 9:8 (d) 9:7
(b) 961 (c) 744 (d) 612
The ratio of two numbers is 4:5. When the first is increased by 20% and the second is
decreased by 20%, the ratio of the resulting numbers is:
(a) 4:5 (b) 5:4 (c) 5 : 6
(d) 6 : 5
6.
Two numbers are in the ratio 4 : 5 and their LCM is 180. The smaller number is:
(a) 9
7.
(b) 15 (c) 36 (d) 45
Ram and Gopal have money in the ratio 7:17 and Gopal and Krishna also have money in the
same ratio 7 : 17. If Ram has Rs. 490, Krishna has
(a) Rs. 2,330
8.
(c) Rs. 2,890
(d) Rs 3,000
The prices of a scooter and a television set are in the ratio of 3 : 2. If a scooter costs ? 600
more than the television set, then the price of television set is:
(a) Rs. 1800
9.
(b) Rs. 2,682
(b) Rs. 1200
(c) Rs. 2400
(d) Rs. 3000
Two numbers are in the ratio of 5 : 7. If 25 be subtract¬ ed from each, they are in the ratio
of 35 : 59. Find the difference of the two numbers,
(a) 48 (b) 52 (c) 24 (d) 30
10.
Mixture of milk and water has been kept in two separate containers. Ratio of milk to water in
one of the containers is 5 : 1 and that in the other container is 7:2. In what ratio the
mixtures of these two containers should be added together so that the quantity of milk in the
new mixture may become 80%?
(a) 2:3 (b) 3 :2 (c) 4:5 (d) 4:3
11.
A man in his will distributed his money in such a way that half of it is for his wife, two-thirds
of the remaining equally to three of his sons and the remaining amount equally to four of his
daughters. If each of the daughters receives ? 20000, how much money will each of his sons
receive?
(a) Rs 50333.33
12.
(b) Rs 5000
(b) 28 years
(d) Data inadequate
(c) 32 years
(d) 34 years
(c) 9:17:23
(d) 9:16:21
Three pots have the same volume. The ratio of milk and water in first, second and third pots
are 3 : 2, 7 : 3 and 11:4, respectively. If the liquid of three pots are mixed, then the ratio of
milk and water in the mixture is
(a) 61 : 29
16.
(c) Rs 8000
Salaries of A, B and C were in the ratio 3:5:7, respectively. If their salaries were increased by
50%, 60% and 50% respectively, what will be the new ratio of their respective salaries?
(a) 9 : 16 : 23 (b) 9:21:66
15.
(d) Rs 50345.33
Ratio of present ages of P and Q is 7 : 3. After four years their ages are in the ratio 2:1. What
is the present age of P?
(a) 24 years
14.
(c) Rs 53333.33
An amount of money is to be distributed among P, Q and R in the ratio 5:8:12, respectively.
If the total share of Q and R is four times that of P, what is definitely P's share?
(a) Rs 3000
13.
(b) Rs 48233.33
(b) 61 : 30
(c) 5:4 (d) 29:61
Monthly income of Anil and Sunil are in the ratio 5 :4 and their expenses are in the ratio 4:3.
If each of them saves Rs. 1200 at the end of the month, their monthly incomes, respectively
are
(a) Rs. 6000, Rs. 4800 (b) Rs. 8000, Rs. 6400
(c) Rs. 8000, Rs. 7200 (d) Rs. 2000, Rs. 1600
17.
Two numbers are in the ratio 3 : 4. If 50 is added to each number, the ratio becomes 7 : 9.
The sum of the numbers is
(a) 50 (b) 350 (c) 700 (d) 800
18.
If the ratio of boys to girls in a class is B and the ratio of girls to boys is G, then 3(5 + G) is
(a) equal to 3
19.
lfa:b = c:d=e:f=l : 2, then (pq + qc + re): (pb + qd+ rf) is equal to
(a) p:(q + r)
20.
(b) less than 3 (c) more than 3 (d) less than 1/3
(b) (p + q):r
A man spends Rs. 1810 for buying bags at ? 200 each and bottles at Rs. 70 each. What will
be the ratio of bags to bot¬tles when maximum number of bags are bought?
(a) 3:8 (b) 8 : 3
21.
(b) 81:91
(c) 9 : 10
(d) 10 : 9
(b) Rs 3500
(c) Rs 2600
(d) Rs 7000
A and B got Rs. 4,000 each as their share, C Rs. 2,000. The ratio in which C, B and A
distributed the amount is
(a) 2 : 2 : 1
24.
(d) 1 : 9
Divide Rs 7500 among A, B and C such that A's share to B's share is in the ratio 5 : 2 and B's
share to C's share is in the ratio 7:13. How much will B receive?
(a) Rs 1400
23.
(c) 9 : 1
The ratio of the number of boys and girls of a school with 504 students is 13 : 11. What will
be the new ratio if 12 more girls are admitted?
(a) 91:81
22.
(c) 2:3 (d) 1 :2
(b) 2 : 1 : 2
(c) 1 : 2 : 2
(d) 1 : 4 : 4
A boy contains 10-paise coins and 25-paise coins in the ratio 17:6. If the total money in the
bag is Rs. 112, then the number of 1 0-paise coins is
(a) 35 (b) 210 (c) 490 (d) 595
25.
The ratio of incomes of two persons is 5 : 3 and that of their expenditures is 9 : 5. Find the
income of each per¬son, if they save Rs. 1,300 and Rs. 900, respectively.
(a) Rs. 4000, Rs. 2400 (b) Rs. 3000, Rs. 1800
(c) Rs. 5000, Rs. 300 (d) Rs. 450, Rs. 2700
26.
What must be added to each term of the ratio 7 : 1 1 , so as to make it equal to 3 : 4?
(a) 8
27.
(b) 7.5 (c) 6.5 (d) 5
Two number are in the ratio 7 : 1 1 . If 7 is added to each of the numbers, the ratio becomes
2:3. The smaller number is The ratio of milk and water in mixtures of four containers are 5 :
3, 2 : 1, 3 : 2 and 7 : 4 respectively. In which container is the quantity of milk, relative to
water minimum?
(a) First (b) Second
28.
(c) Third
(d) Fourth
Two numbers are in the ratio 1 : 3. If their sum is 240, then their difference is
(a) 120 (b) 108 (c) 100 (d) 96
29.
The ratio of income and expenditure of a person is 11 : 10, if he saves ? 9,000 per annum his
monthly income is
(a) Rs. 8,000
(b) Rs 8,800
(c) Rs 8,500
(d) Rs
8,250
DATA INTERPRETATION-1
Directions to Solve
Study the following table and answer the questions based on it.
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Item of Expenditure
Year
Salary
Fuel and Transport
Bonus
Interest on Loans
Taxes
1998
288
98
3.00
23.4
83
1999
342
112
2.52
32.5
108
2000
324
101
3.84
41.6
74
2001
336
133
3.68
36.4
88
2002
420
142
3.96
49.4
98
1. What is the average amount of interest per year which the company had to pay during this period?
A.Rs. 32.43 lakhs
B.Rs. 33.72 lakhs
C.Rs. 34.18 lakhs
D.Rs. 36.66 lakhs
2. The total amount of bonus paid by the company during the given period is approximately what
percent of the total amount of salary paid during this period?
A.0.1% B.0.5% C.1%
D.1.25%
3. Total expenditure on all these items in 1998 was approximately what percent of the total
expenditure in 2002?
A.62% B.66% C.69% D.71%
4. The total expenditure of the company over these items during the year 2000 is?
A.Rs. 544.44 lakhs
B.Rs. 501.11 lakhs
C.Rs. 446.46 lakhs
D.Rs. 478.87 lakhs
5. The ratio between the total expenditure on Taxes for all the years and the total expenditure on
Fuel and Transport for all the years respectively is approximately?
A.4:7
B.10:13
C.15:18
D.5:8
Directions to Solve
Study the following table and answer the questions.
Classification of 100 Students Based on the Marks Obtained by them in Physics and Chemistry in an
Examination.
Marks out of 50
Subject
40 and
above
30 and
above
20 and
above
10 and
above
0 and
above
Physics
9
32
80
92
100
Chemistry
4
21
66
81
100
Average
(Aggregate)
7
27
73
87
100
1.
What is the different between the number of students passed with 30 as cut-off marks in
Chemistry and those passed with 30 as cut-off marks in aggregate?
A.3
B.4C.5 D.6
2. If at least 60% marks in Physics are required for pursuing higher studies in Physics, how many
students will be eligible to pursue higher studies in Physics?
A.27
B.32C.34
D.41
3. The percentage of number of students getting at least 60% marks in Chemistry over those getting
at least 40% marks in aggregate, is approximately?
A.21% B.27%C.29%
D.31%
4. The number of students scoring less than 40% marks in aggregate is?
A.13
B.19C.20
D.27
5. If it is known that at least 23 students were eligible for a Symposium on Chemistry, then the
minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range?
A.40-45 B.30-40C.20-30 D. Below 20
Directions to Solve
The following pie-chart shows the percentage distribution of the expenditure incurred in
publishing a book. Study the pie-chart and the answer the questions based on it.
Various Expenditures (in percentage) Incurred in Publishing a Book
1.
If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, then
what will be amount of royalty to be paid for these books?
A.Rs. 19,450
B.Rs. 21,200C.Rs. 22,950
D.Rs. 26,150
2. What is the central angle of the sector corresponding to the expenditure incurred on Royalty?
A.15º
B.24ºC.54º
D.48º
3. The price of the book is marked 20% above the C.P. If the marked price of the book is Rs. 180,
then what is the cost of the paper used in a single copy of the book?
A.Rs. 36
B.Rs. 37.50C.Rs. 42
D.Rs. 44.25
4. If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, then what
should be the selling price of the book so that the publisher can earn a profit of 25%?
A.Rs. 187.50
B.Rs. 191.50C.Rs. 175 D.Rs. 180
5. Royalty on the book is less than the printing cost by:
A.5%
B.33
1
%
5C.20% D.25%
Directions to Solve
The following pie-chart shows the sources of funds to be collected by the National Highways
Authority of India (NHAI) for its Phase II projects. Study the pie-chart and answers the question
that follow.
Sources of funds to be arranged by NHAI for Phase II projects (in crores Rs.)
1.
Near about 20% of the funds are to be arranged through:
A.SPVS B.External Assistance C.Annuity D.Market Borrowing
2. If NHAI could receive a total of Rs. 9695 crores as External Assistance, by what percent
(approximately) should it increase the Market Borrowing to arrange for the shortage of funds?
A.4.5% B.7.5%C.6%
D.8%
3. If the toll is to be collected through an outsourced agency by allowing a maximum 10%
commission, how much amount should be permitted to be collected by the outsourced agency, so
that the project is supported with Rs. 4910 crores?
A.Rs. 6213 crores
B.Rs. 5827 croresC.Rs. 5401 crores
D.Rs. 5316 crores
4. The central angle corresponding to Market Borrowing is
A.52º
B.137.8ºC.187.2º
D.192.4º
5. The approximate ratio of the funds to be arranged through Toll and that through Market Borrowing
is
A.2 : 9 B.1 : 6C.3 : 11 D.2 : 5
DATA INTERPRETATION-2
Directions to Solve
The following line graph gives the ratio of the amounts of imports by a company to the amount of
exports from that company over the period from 1995 to 2001.
Ratio of Value of Imports to Exports by a Company Over the Years.
1. If the imports in 1998 was Rs. 250 crores and the total exports in the years 1998 and 1999
together was Rs. 500 crores, then the imports in 1999 was ?
A.Rs. 250 crores
B.Rs. 300 crores C.Rs. 357 crores
D.Rs. 420 crores
2. The imports were minimum proportionate to the exports of the company in the year ?
A.1995 B.1996C.1997
D.2000
3. What was the percentage increase in imports from 1997 to 1998 ?
A.72
B.56C.28
D.Data inadequate
4. If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996
was ?
A.Rs. 370 crores
B.Rs. 320 crores C.Rs. 280 crores
D.Rs. 275 crores
5. In how many of the given years were the exports more than the imports ?
A.1
B.2
C.3
D.4
Directions to Solve
Study the following line graph and answer the questions based on it.
Number of Vehicles Manufactured by Two companies over the Years (Number in Thousands)
1. What is the difference between the number of vehicles manufactured by Company Y in 2000 and
2001 ?
A.50000
B.42000C.33000
D.21000
2. What is the difference between the total productions of the two Companies in the given years ?
A.19000
B.22000C.26000
D.28000
3. What is the average numbers of vehicles manufactured by Company X over the given period ?
(rounded off to nearest integer)
A.119333
B.113666C.112778
D.111223
4. In which of the following years, the difference between the productions of Companies X and Y was
the maximum among the given years?
A.1997 B.1998C.1999
D.2000
5. The production of Company Y in 2000 was approximately what percent of the production of
Company X in the same year?
A.173
B.164C.132
D.97
Directions to Solve
The bar graph given below shows the sales of books (in thousand number) from six branches of a
publishing company during two consecutive years 2000 and 2001.
Sales of Books (in thousand numbers) from Six Branches - B1, B2, B3, B4, B5 and B6 of a publishing
Company in 2000 and 2001.
1. What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for
both years?
A.2:3
B.3:5C.4:5
D.7:9
2. Total sales of branch B6 for both the years is what percent of the total sales of branches B3 for
both the years?
A.68.54%
B.71.11%
C.73.17% D.75.55%
3. What percent of the average sales of branches B1, B2 and B3 in 2001 is the average sales of
branches B1, B3 and B6 in 2000?
A.75% B.77.5%C.82.5%
D.87.5%
4. What is the average sale of all the branches (in thousand numbers) for the year 2000?
A.73
B.80C.83
D.88
5. Total sales of branches B1, B3 and B5 together for both the years (in thousand numbers) is?
A.250
B.310C.435
Directions to Solve
D.560
The bar graph given below shows the foreign exchange reserves of a country (in million US $) from
1991 - 1992 to 1998 - 1999.
Foreign Exchange Reserves Of a Country. (in million US $)
1. The ratio of the number of years, in which the foreign exchange reserves are above the average
reserves, to those in which the reserves are below the average reserves is?
A.2:6
B.3:4C.3:5
D.4:4
2. The foreign exchange reserves in 1997-98 was how many times that in 1994-95?
A.0.7
B.1.2C.1.4
D.1.5
3. For which year, the percent increase of foreign exchange reserves over the previous year, is the
highest?
A.1992-93
B.1993-94C.1994-95
D.1996-97
4. The foreign exchange reserves in 1996-97 were approximately what percent of the average foreign
exchange reserves over the period under review?
A.95% B.110%C.115% D.125%
5. What was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94?
A.100
B.150C.200
D.620
CODING & DECODING
1.
In a certain code, DESIREABLE
written in that code?
is written as JTFEQFMCBF how is DIMENSION
(a) FNJEMTJPO (b) FNJEOOPJT (c) FNJEMOPJT (d) EJNFMOPJT
2.
In a certain code, KNIFE is written as $ 3%#5 and Lake is written as 7 @ $5. How is FAIL
written in that code?
(a) %$#7
3.
(b) #@%7
(c) $@%7
(d) $%@7
In a certain code, PHYSICAL is written as MQBIDZJT. How is Breaking written in that code?
(a) HCOQJFLB (b) HCOSJFLB
(c) HCOSLJKB
(d) HCOTJFLB
4.
In a certain code, DIARY is written as @ 5 * % 4 and 'LOOK' is written as $ # # 3. How is
LOAD written in that code?
(a) $ % * @
(b) $ # %
(c) $#%@
(d) $#*@
5.
In a code language, 123 means 'hot filtered coffee', 356 means 'very hot day', 589 means
'day and night'. Which numerical stands for 'very'?
(a) 5
(b) 6
6.
If CLOCK IS coded as 34235 and TIME is 8679, what will be the code for MOLEK?
(a) 62495
7.
(c) 8
(d) 9
(b) 62945
(c) 72495
(d) 72945
In a certain language
(1) PIC VIC NIC means 'winter is cold'
(2) TO NIC RE means 'summer is hot'
(3) RE THO PA means 'nights are hot' Which of the following is the code for 'summer'?
(a) TO (b) NIC (c) PIC (d) VIC
8.
If ASSIGN is coded as SASING, then KIDNAP is coded as:
(a) IKNDPA
(b) IKDNPA
(c) IKDNAP
(d) IKAPDN
9.
In a certain code "TERMINAL' is written as 'NSFUMBOJ' and 'TOWERS' is written as 'XPUTSF'.
How is 'MATE' written in that code?
(a) FUBN
(b) UFNB
(c) BNFU
(d) ENDS
10.
In a certain code RACKET is written as '5%3#42' and ALARM is written as '% 1 % 5 9'. How
is TERM written in that code?
(a) 2359
11.
In a certain code ARCHIVE is written as CRAHIA How is SYSTEMS written in that code?
(a) SYSTSME
12.
(b) 2495
(b) YSSTSEM
(c) SYSTESM
(d) SYSTMES
In a certain code, ROAD is written as URDG. Hw FAIR written in that code?
(a) UXDQ
(b) IDLU
(c) VXDQ
(d) VZCQ
13.
If Table is called Chair, Chair is called Cot, Cot is called Pot and Pot is called Filter, where
does a person sit
(a) Pot (b) Cot (c) Chair
(d) Filter
14.
In a certain code language 'how many goals scored’ is written as '5397' ; 'many more
matches 'is written as '982' and 'he scored five' is written as '1 6 3'.Howis 'goals' written in that code
language?
(a) 5
(b) 7
(c) 5 or 7
(d) Data inadequate
15.
In a certain code CONSIDER is written as RMNBSFI How is NOTEBOOK written in that code?
(a) DSNMLPPC (b) DSPMCPPL (c) DPSMLPPL
(d) DSPMCPPL
16.
In a certain code DRAUGHT is written as CQBVHIL and CONCISE is written as BNODJTF.
How will PROBLEM be written in that code?
(a) OSNCMFN
17.
(b) OQPCMFN
(c) QSNAMFN
(d) OQPCKDN
If CHOLINE is written as 'HLCIOEN', then SURGEON will be written as:
(a) UGSRENO
(b) UGSENRO
(c) UGESRNO
(d) UGSERNO
18.
In a certain code, LATE is written as $%#@ and WIDE is written as *©A @. How is DIAL
written in that code?
(a) A@#$
(b) A@%$
(c) A©%$
(d) A©%#
19.
In a certain code, CLIMATE is written as BUFLJMD, How is ORDERLY written in that code?
(a) SMZDESP
(b) ZMSDPSE
(c) ZMSDESP
(d) ZMSFESP
20.
In a certain code, TOLD is written as 5132 and DEAR is written as 2648. How is LATE written
in that code?
(a) 3652
(b) 3246
(c) 3856
(d) 3456
21.
In a certain code BEAN is written as ABNE and SALE is written as LSEA. How is NEWS written
in that code?
(a)
WNES (b) WNSE
Directions (Q. 22-27): Study the following information to answer the given questions: In a certain
code, 'weapons hidden in town' is written as 'white yellow red', 'ready weapons for attack' is written
as 'grey digored green', 'hidden for own safety' is written as 'sliver 'violet white' and 'own town under
attack' is written as tblue indigo black'.
22.
What is the code for 'ready'?
(a) red (b) indigo
23.
(b) own
(d) risk in town
(c) white
(d) violet
(b) brown grey red
(c) indigo white red
(d) red violet white
What is the code for 'own'?
(b) blue
(c) indigo
(d) violet
If PALE is coded as 2134, EARTH is CODED as 41590, how is PEARE coded in that code?
(a) 29530
29.
(c) attack in town
Which of the following may represent 'all hidden weapons'?
(a) silver
28.
(b) hidden for safety
(b) indigo
(a) white red orange
27.
(d) for
What is the code for 'attack'?
(a) grey
26.
(c) hidden
'black pink yellow' could be a code for which of the following?
(a) town under attack
25.
(d) grey
What does 'sliver' stand for?
(a) safety
24.
(c) green
(b) 24153
(c) 25413
(d) 25430
In a certain code DROWN is written as MXNSC. How i is BREAK written in that code?
(a) LBFSC
(b) JBDSA
(c) JZDQA
(d) LZFQC
DATA SUFFICIENCY-1
In each of the questions below consists of a question and two statements numbered I and II given
below it. You have to decide whether the data provided in the statements are sufficient to answer the
question. Read both the statements and
Give answer
(A) If the data in statement I alone are sufficient to answer the question.
(B) If the data in statement II alone are sufficient to answer the question.
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the
question
(D) If the data given in both statements I and II together are not sufficient to answer the question
and
(E) If the data in both statements I and II together are necessary to answer the question.
1. Question : Why haven't Indian scientists made such headway in any field after independence ?
I. Indian scientists are not provided with up to date laboratory facilities.
II. Indian scientists regard that knowledge of western science advances is enough for a nation to
advance.
1. data in statement I alone are sufficient to answer the question.
2. data in statement II alone are sufficient to answer the question.
3. data either in statement I alone or in statement II alone are sufficient to answer the question.
4. data given in both statements I and II together are not sufficient to answer the question.
5. data in both statements I and II together are necessary to answer the question.
2. Question : What time does the office starts working ?
I. Some employees reach office at 9:00 am.
II. Some employees reach office at 4:00 pm.
1. data in statement I alone are sufficient to answer the question.
2. data in statement II alone are sufficient to answer the question.
3. data either in statement I alone or in statement II alone are sufficient to answer the question.
4. data given in both statements I and II together are not sufficient to answer the question.
5. data in both statements I and II together are necessary to answer the question.
3. Question : How many flats are there in this housing complex ?
I. Each wing has 16 flats which is incidentally equal to the total number of buildings.
II. Each building has four wings - A, B, C and D.
1. data in statement I alone are sufficient to answer the question.
2. data in statement II alone are sufficient to answer the question.
3. data either in statement I alone or in statement II alone are sufficient to answer the question.
4. data given in both statements I and II together are not sufficient to answer the question.
5. data in both statements I and II together are necessary to answer the question.
4. Question : Out of A, B, C and D, who was selected by the interview panel ?
I. C's interview was much better than A and D.
II. B has better qualification and experience than other three.
1. data in statement I alone are sufficient to answer the question.
2. data in statement II alone are sufficient to answer the question.
3. data either in statement I alone or in statement II alone are sufficient to answer the question.
4. data given in both statements I and II together are not sufficient to answer the question.
5. data in both statements I and II together are necessary to answer the question.
5. Question : Did Arvind lose money in the school ?
I. Children are not expected to carry money with them to school.
II. His father gave him money in the morning.
1. data in statement I alone are sufficient to answer the question.
2. data in statement II alone are sufficient to answer the question.
3. data either in statement I alone or in statement II alone are sufficient to answer the question.
4. data given in both statements I and II together are not sufficient to answer the question.
5. data in both statements I and II together are necessary to answer the question.
6. Question : Does drinking coffee leads to headache ?
I. Overstimulation of pancreas leads to headache.
II. Coffee contains caffeine which excessively stimulates pancreas.
1. data in statement I alone are sufficient to answer the question.
2. data in statement II alone are sufficient to answer the question.
3. data either in statement I alone or in statement II alone are sufficient to answer the question.
4. data given in both statements I and II together are not sufficient to answer the question.
5. data in both statements I and II together are necessary to answer the question.
7. Question : The cost of the kit is solely based on the number of leaves. The kit has how many
leaves ?
I. The cost of kit of medium size is Rs 850.
II. The small size kit contains 55 leaves.
1. data in statement I alone are sufficient to answer the question.
2. data in statement II alone are sufficient to answer the question.
3. data either in statement I alone or in statement II alone are sufficient to answer the question.
4. data given in both statements I and II together are not sufficient to answer the question.
5. data in both statements I and II together are necessary to answer the question.
In each of the questions below consists of a question and two statements numbered I and II given
below it. You have to decide whether the data provided in the statements are sufficient to answer the
question. Read both the statements and
Give answer
(A) If the data in statement I alone are sufficient to answer the question.
(B) If the data in statement II alone are sufficient to answer the question.
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the
question
(D) If the data given in both statements I and II together are not sufficient to answer the question
and
(E) If the data in both statements I and II together are necessary to answer the question.
8. Question : A ground plus four storied residential building has 3 wings namely A, B and C. How
many flats are there in a building ?
I. Each floor has equal number of flats.
II. All the three flats on the ground floor of wing A are unoccupied.
1. data in statement I alone are sufficient to answer the question.
2. data in statement II alone are sufficient to answer the question.
3. data either in statement I alone or in statement II alone are sufficient to answer the question.
4. data given in both statements I and II together are not sufficient to answer the question.
5. data in both statements I and II together are necessary to answer the question.
9. Question : How many doctors are practising in the town ?
I. There is one doctor per 700 residents.
II. There are 16 wards with each ward having as many doctors as the number of wards.
1. data in statement I alone are sufficient to answer the question.
2. data in statement II alone are sufficient to answer the question.
3. data either in statement I alone or in statement II alone are sufficient to answer the question.
4. data given in both statements I and II together are not sufficient to answer the question.
5. data in both statements I and II together are necessary to answer the question.
DATA SUFFICIENCY-2
Directions (Q. 1-5): Each of the questions below consists of a question and two statements numbered
I and II given below it. You have to decide whether the data provided in the statement are sufficient
to answer the question. Read both the statements
and.......
Give answer (a) If the data in statement I alone are sufficient to answer the question, while the data
in statement II alone are not sufficient to an¬swer the question. If the data in statement II alone are
sufficient to answer the question, While the data in statement I alone are not sufficient to answer the
question.
Give answer (b) If the data either in statement I alone or in statement II alone are sufficient to
answer the question.
Give answer (c) If the data given in both the statements I and II together are not sufficient to answer
the question.
Give answer (d) If the data in both the statements I and II to¬gether are necessary to answer the
question.
1.
Pillar 'X' is in which direction with respect to pillar y?
I. Z is to the south of Y.
If. M is to the west of Z and to the south of X.
2.
What is Sunita rank from top in the class of 45 student?
I. Sunita is seven ranks below Abhijit who ranks tenth from the top.
II. Sunita is six ranks above Sudhakar who ranks twen¬ty-third from the bottom.
3.
How is Nishant related to Raja?
I. Raja is son of Ramesh whose daughter is Nishant's mother.
II. Ramesh is father of Raja and grandfather of Nishant.
4.
What is the code for'has'?
I. In a certain code, 'girl has passed' is written as 'fe ka lo'.
II. In the same code, 'boy and girl' is written as 'mo fe ji'5.
When is Nilima's birthday?
I. Sharmila correctly remembers, Nilima's birthday is after 13th but before 17 th.
II. Rahul correctly remembers, Nilima's birthday is af¬ter 15th but before J9th.
Directions (Q. 6-10): Each of the questions below consists of a question and two statements
numbered I and II given be-'nw it. You have to decide whether the data provided in the 'statement
are sufficient to answer the question. Read both the 'statements and ..
Give answer (a) If the data in statement I alone are sufficient to answer the question, while the data
in statement II alone are not sufficient to an¬swer the question. If the data in statement II alone are
sufficient to answer the question, While the data in statement I alone are not sufficient to answer the
question.
Give answer (b) If the data either in statement I alone or in statement II alone are sufficient to
answer the question.
Give answer (c) If the data given in both the statements I and II together are not sufficient to answer
the question.
Give answer (d) If the data in both the statements I and II together are necessary to answer the
question.
6.
Towards which direction is Village M from Village T?
I. Village P is to the south of Village M and Village P is to the west of Village T.
II. Village K is to the east of Village M and Village K is to the north of Village T.
7.
On which day in July was definitely Rehan's wife's birth-day?
I. Rehan's correctly remembers that his wife's birth¬day is before eighteenth but after twelfth July.
II. Rehan's sister correctly remembers that their her sister-in-laws birthday is after fifteenth but
before nineteenth July.
8.
How is D related to M?
I. K and D are only sisters of R.
II. M is married to R's father.
9.
How is 'near' written in a code language?
I. 'go near the tree' is written as 'sa na pa ta' in that code language.
II. 'tree is near home' is written as ja pa da sa' in that code language.
10.
Among A, B, C, D and E, each having scored different marks in an exam, who has scored the
lowest marks?
I. D has scored more marks than only three of them.
II. A has scored more marks than only E.
Directions (Q. 11-15): Each of the questions below consists of a question and two statements
numbered I and II given be¬low it. You have to decide whether the data provided in the statements
are sufficient to answer the question. Read both the statements and
Give answer (a) If the data in statement I alone are sufficient to answer the question, while the data
in statement II alone are not sufficient to an¬swer the question. If the data in statement II alone are
sufficient to answer the question, while the data in statement I alone are not sufficient to answer the
question.
Give answer (b) If the data either in statement I alone or in statement II alone are sufficient to
answer the question.
Give answer (c) If the data given in both the statements I and II together are not sufficient to answer
the question and
Give answer (d) If the data in both the statements I and II to¬gether are necessary to answer the
question.
11.
How is 'book' written in a code language?
I. 'he has book' has written as 'ji hi mi' in that code language.
II. 'has she book' has written as 'ka ji mi' in that code language.
12.
What is Reshma's position from the left end in a row?
I. Manish is tenth from the left end of the row.
II. There are twenty children between Manish and Reshma.
13.
How is A related to C?
I. C has only one brother and two sisters.
II. A is daughter of D and wife of C.
14.
Is aft =1394
(a) - =17,36= 123
(b) ^-^ 41
ab
15.
Among Baljit, Saevanjit, Kanwaljit, Ajit and Charanjit each having different age, who is the
youngest among them?
I. Saevanjit is younger than only Baljit
II. Ajit is older than only Kanwaljit.
Directions (Q. 16—20): Each of the questions below consists of a question and two statements
numbered I and II. You have to decide whether the data provided in the statements the data
provided in the statements are sufficient to answer the ques¬tion. Read both the statements.
Give answer (a) If the data in statement I alone is sufficient to answer the question but the data in
statement II alone is not sufficient to answer the ques¬tion; If the data in statement II alone is sufficient to answer the question but the data in statement I alone is not sufficient to answer the
question; Give answer (b) If the data in either statement I or II alone is sufficient to answer the
question;
Give answer (c) If the data even in both statement I and II together is not sufficient to answer the
ques¬tion but still more data is needed.
Give answer (d) If the data in both the statements I and II to¬gether are necessary to answer the
question.
16.
Who is a better musician, Reema or Seema? Statements
I. Reema had played at more instruments.
II. The number of books on music by Seema is more.
17.
Among 10 children standing in a row and facing north, what is Akash's position from the right
end of the line? Statements
I. Ravi is fifth from the left. Three students are stand¬ing between Ravi and Akash.
II. Niharika is standing to the immediate right of Akasli. Niharika is not standing at any of the extreme
ends of the line.
18.
On which day of the week did 'A' meet with an accident? Statements
I. 'A' was released from hospital on Friday, three days after he met with the accident.
II. 'A' was travelling on a scooter on Tuesday?
19.
'A' is shorter than 'B', 'C' is taller than 'D'. Who b shortest among them? Statements
I. 'A' is shorter than 'D'
II. 'A'is taller than'C'
20.
What will be the total weight of 10 boxes each of same weight? Statements
I. One-fourth of the weight of box is 5 kg.
II. total weight of three boxes is 20 kg more than t total weight of two boxes.
Directions (Q. 21-23): The questions below consist of question followed by two statements labeled as
1 and II. You have to decide if these statements are sufficient to answer the question.
Give answer (a) If statement I alone is sufficient to answer the question but statement II alone is not
sufficient to answer the question; If statement 11 alone is sufficient to answer the question but
statement I alone is not sufficient to answer the question;
Give answer (b) If you can get the answer of either statement, or statement II alone.
Give answer (c) If you cannot get the answer from statement I and II together but still more data are
required to answer the question.
Give answer (d) If the data in both the statements I and II together are necessary to answer the
question.
21.
Among Anki, Bob, Charlie, Doll and Elina each having a different height, who is the second
tallest? Statements
I. Elina is taller than only Charlie and Doll, Bob is taller than Anki.
II. Two people are shorter as well as taller than Elina. Bob is taller than Anki. Anki is not the shortest.
22.
Does lack of physical exercise leads to heart attack? Statements
I. According to a survey, 8 out of 10 people suffering from heart related problems, who avoid any
type of physical exercise.
II. Heart diseases are the result of consumption of oily foods.
23.
How is 'always' written in a code language? Statements
I. 'Rain is always good' is written as '1 4 2 7' in that code language.
II. 'He is always there' is written as '4 7 8 5' in that code language.
Directions (Q. 24-28): Each of the questions below consists of a question and two statements
numbered I and II given be¬low it. You have to decide whether the data provided in the statements
are sufficient to answer the question. Read both the Statements and
Give answer (a) If the data in statement I alone are sufficient to answer the question, while the data
in statement II alone are not sufficient to an¬swer the question. If the data in statement II alone are
sufficient to answer the question, while the data in statement I alone are not sufficient to answer the
question.
Give answer (b) If the data either in statement I alone or in statement II alone are sufficient to
answer the question.
Give answer (c) If the data given in both the statements I and II together are not sufficient to answer
the question.
Give answer (d) If the data in both the statements I and II to¬gether are necessary to answer the
question.
24.
A group of students facing the school building are stand¬ing in a row, how many students
are towards left of Ra-him?
I. Rahim is seventh from the left end of the row.
II. There are forty-three students in the row.
25.
Who among Romi, Romil, Romit, Romik and Romula live in room No.4 of a hostel which has
only 5 rooms?
I. None of the rooms are vacant and at least one of them stay in one room.
II. Romil, Romil and Romula do not stay in room no.4
26.
What is the relationship between Balwinder and Paramjit?
I. Balwinder born to Mohinder
II. Paramjit is the only son of Mohinder.
27.
Among M, P, T, R and W, each of a different age, who is the youngest?
I. T is younger than only P and W.
II. M is younger than T and older than R.
28.
How is 'greatest' coded in a certain language?
I. " Sachin is the greatest batsman of all time" coded in this language as "aa bb cc dd ee ff gg hh"
II. "Greatest worry for any batsman will be to score century" is coded in this language as "kk aa mm
uu ww bx zk bn cc xx"
Directions (Q. 29—33): Each of the questions below consists of a question and two statements
numbered I and II given be¬low it. You have to decide whether the data provided in the statements
are sufficient to answer the questions. Read both the statements and
Give answer (a) If the data in statement I alone are sufficient to answer the question, while the data
in statement II alone are not sufficient to an¬swer the question. If the data in statement II alone are
sufficient to answer the question, while the data in statement I alone are not sufficient to answer the
questions.
Give answer (b) If the data either in statement I alone or in statement II alone are sufficient to
answer the question.
Give answer (c) If the data given in both the statements I and II together are not sufficient to answer
the question, and
Give answer (d) If the data in both the statements 1 and II to¬gether are necessary to answer the
question.
29.
Who among M, N, P, T and R is the youngest?
I. N and T are younger than P.
II. M is older than R and P.
30.
How many children are there in the row?
I. Manoj is twelfth from the left end and fourth to the left of Hari in that row.
II. Hari is eight from the right end of that row
31.
How is 'red' written in a code language?
I. 'red and blue' is written as 'ho po da' in that code language.
II. 'spread red carpet' is written as 'na da ka' that code language.
32.
Village R is towards which direction of village M?
I. Village M is to the west of village T which is to the south of village R.
II. Village M is to the south of village B which is to the west of Village R.
SYLLOGISM:
Introduction:
The questions which are asked in this section contain two or more statements and these statements
are followed by two or more conclusions. You have to find out which of the conclusions logically
follow from the given statements. The statements have to be taken true even if they seem to be at
variance from the commonly known facts.
For such questions, you can take the help of Venn Diagrams. On the basis of the given statements,
you should draw all the possible diagrams, and then derive the solution from each of these diagrams
separately. Finally, the answer common to the all the diagrams is taken.
Example 1:
Statements:•
All dogs are asses.
Conclusions:•
Some dogs are not bulls. •
•
All bulls are dogs. •
•
All asses are bulls.
Some bulls are dogs.
All dogs are bulls.
From the diagram it is clear that (2) and (4) conclusions logically follow.
Example 2:
Statements:•
Some dogs are asses. • Some asses are bulls.
Conclusions:•
Some asses are not dogs. •
Some dogs are bulls.
Directions to Solve
In each of the following questions two statements are given and these statements are followed by
two conclusions numbered (1) and (2). You have to take the given two statements to be true even if
they seem to be at variance from commonly known facts. Read the conclusions and then decide
which of the given conclusions logically follows from the two given statements, disregarding
commonly known facts.
Give answer:
•
(A) If only (1) conclusion follows •
(B) If sonly (2) conclusion follows
•
(C) If either (1) or (2) follows • (D) If neither (1) nor (2) follows and
•
(E) If both (1) and (2) follow.
1.
Statements: Some actors are singers. All the singers are dancers.
Conclusions:•
Some actors are dancers. •
No singer is actor.
A. Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
2.
Statements: All the harmoniums are instruments. All the instruments are flutes.
Conclusions:•
All the flutes are instruments. • All the harmoniums are flutes.
A. Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E.Both (1) and (2) follow
3.
Statements:Some mangoes are yellow. Some tixo are mangoes.
Conclusions:•
Some mangoes are green. •
Tixo is a yellow.
A. Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD.Neither (1) nor (2) follows
E. Both (1) and (2) follow
4.
Statements: Some ants are parrots. All the parrots are apples.
Conclusions: • All the apples are parrots. •
Some ants are apples.
A.Only (1) conclusion followsB.Only (2) conclusion follows
C.Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
5.
Statements:Some papers are pens. All the pencils are pens.
Conclusions:•
Some pens are pencils. •
Some pens are papers.
A. Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Directions to Solve
In each of the following questions two statements are given and these statements are followed by
two conclusions numbered (1) and (2). You have to take the given two statements to be true even if
they seem to be at variance from commonly known facts. Read the conclusions and then decide
which of the given conclusions logically follows from the two given statements, disregarding
commonly known facts.
Give answer:
•
(A) If only (1) conclusion follows
•
(C) If either (1) or (2) follows • (D) If neither (1) nor (2) follows and
•
(E) If both (1) and (2) follow.
6.
Statements: All the actors are girls. All the girls are beautiful.
Conclusions:•
All the actors are beautiful. •
(B) If sonly (2) conclusion follows
Some girls are actors.
A. Only (1) conclusion follows B. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
7.
Statements:All the windows are doors. No door is a wall.
Conclusions:•
Some windows are walls. •
No wall is a door.
A.Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
8.
Statements:All cups are books. All books are shirts.
Conclusions:•
Some cups are not shirts. •
Some shirts are cups.
A. Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
9.
Statements: Some cows are crows. Some crows are elephants.
Conclusions:•
Some cows are elephants. •
All crows are elephants.
A. Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
10.
Statements:All the pencils are pens. All the pens are inks.
Conclusions:•
All the pencils are inks. •
Some inks are pencils.
A. Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Directions to Solve
In each of the following questions two statements are given and these statements are followed by
two conclusions numbered (1) and (2). You have to take the given two statements to be true even if
they seem to be at variance from commonly known facts. Read the conclusions and then decide
which of the given conclusions logically follows from the two given statements, disregarding
commonly known facts.
Give answer:
•
(A) If only (1) conclusion follows •
•
(C) If either (1) or (2) follows • (D) If neither (1) nor (2) follows and
•
(E) If both (1) and (2) follow.
11.
Statements: Some dogs are bats. Some bats are cats.
Conclusions:•
Some dogs are cats. •
(B) If sonly (2) conclusion follows
Some cats are dogs.
A. Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
12.
Statements:All the trucks are flies. Some scooters are flies.
Conclusions:•
All the trucks are scooters. •
Some scooters are trucks.
A. Only (1) conclusion follows B. Only (2) conclusion follows
C. Either (1) or (2) follows D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
13.
Statements: All buildings are chalks. No chalk is toffee.
Conclusions:•
No building is toffee •
All chalks are buildings.
A. Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
14.
Statements: All cars are cats. All fans are cats.
Conclusions:•
All cars are fans. •
Some fans are cars.
A. Only (1) conclusion followsB. Only (2) conclusion follows
C. Either (1) or (2) followsD. Neither (1) nor (2) follows
E. Both (1) and (2) follow
15. Statements: All dogs are kings
All lions are kings
Conclusion: 1. All dogs are lions
2. All lions are dogs
3. Some lions are dogs
4. None of these
A.) None follow B.) Only 1 and 2 follow C.) Only 2 and 3 follow D.) Only 4 follow E.) All follow
16. Statements: All books are computers
Some books are pens
Conclusion: 1. All computers are pens
2. All pens are computers
3. Some computers are pens
A.) Only 3 follows
4. None of these
B.) Only either 1 or 4 follows
C.) Only either 1 or 4 and 2 follows
D.) Only either 1 or 4 and 3 follows
E.) Only 2 follows
17. Statements: All books are computers
Conclusion: 1. Some books are not pens
3. No computers are pens
A.) None follows
No books are pens
2. Some pens are not computers
4. None of these
B.) Only 1 follows
C.) Only 1 and 3 follows
D.) Only 2 and 3 follows
E.) All follows
18. Statements: All pens are books
All books are computers
Conclusion: 1. All computers are pens
3. All pens are computers
A.) Only 1 follows
2. No computers are pens
4. None of these
B.) Only 1 and 2 follow
C.) Only 1 and either 2 or 4 follow
D.) Only 3 follows E.) None of these
19. Statements: All books are computers
Concussion: 1. Some books are pens
3. Some pens are not books
Some computers are not pens
2. Some books are not pens
4. None of these
A.) Only 1 follows
B.) Only 1,2 and 3 follows
C.) Only either 1 or 3 and 2 follows
D.) Only 1 and 2 follows
E.) Only 4 follows
20. Statements: Some students are drinkers
Some drinkers are careless
Conclusion: 1. Some students are careless
2. Some careless persons are drinkers
3.Some careless persons are students
4. 1 and 2 are correct
A.) None follow B.) Only 1 and 2 follow C.) Only 2 and 3 follow D.) Only 2 follow E.) All follow
21. Statements: All cars are lorrys
All bikes are lorrys
Conclusion: 1. All cars are bikes
2. All bikes are cars
3. Some cars are bikes
A.) Only 3 follows
4. None of these
B.) Only either 1 or 4 follows
C.) Only either 1 or 4 and 2 follows
D.) Only either 1 or 4 and 3 follows E.) Only 4 follows
22. Statements: All rats are cats
No rats are dogs
Conclusion: 1. No cats are dogs
2. Some cats are not dogs
3. Some cats are dogs
A.) None follows
4. None of these
B.) Only 1 follows C.) Only 1 and 3 follows
D.) Only 2 follows
E.) All follows
23. Statements: All dogs are cows
No cows are cats
Conclusion: 1. No dogs are cats
2. All dogs are cats
3. Some dogs are cats
A.) Only 1 follows
4. None of these
B.) Only 1 and 2 follow
C.) Only 1 and either 2 or 4 follow
D.) Only 3 follows E.) None of these
24. Statements: Some parrots are pigeons
Concussion: 1. Some parrots are crows
3. Some crows are not parrots
A.) Only 1 follows
No pigeons are crows
2. Some parrots are not crows
4. None of these
B.) Only 1,2 and 3 follows
C.) Only either 1 or 3 and 2 follows
D.) Only 1 and 2 follows E.) Only 4 follows
25. Statements: Some parrots are sparrows
Conclusion: 1. All crows are sparrows
3. Some parrots are crows
A.) None follow
follow
All sparrows are crows
2. All doors are crows
4. Some sparrows are crows
B.) Only 1 and 2 follow C.) Only 2 and 3 follow D.) Only 4 follow E.) All
26. Statements: Some sparrows are parrots
Conclusion: 1. No parrots is sparrow
3. Some parrots are birds
No parrot is bird
2. No sparrow is parrot
4. Some sparrows are birds
A.) Only 3 follows
B.) Only either 1 or 4 follows C.) Only either 1 or 4 and 2 follows D.) Only
either 1 or 4 and 3 follows E.) None follows
PUZZLES
Seven friends Kamal, Manish, Rohit, Amit, Gaurav, Pritam and Priya are sitting in a circle. Kamal,
Manish, Rohit, AMit, Pritam and Priya are sitting at equal distances from each other.
Rohit is sitting after two places right of Pritam, who is sitting one place right of Amit. Kamal forms an
angle of 90 degrees from Gaurav and an angle of 120 degrees from Manish. Manish is just opposite
Priya and is sitting on the left of Gaurav.
1. Who is the only person sitting between Rohit and Manish ?
1. Pritam
2. Amit
3. Gaurav
4. Kamla
2. Gaurav is not sitting at equal distance from
1. Manish and Pritam 2. Amit and Kamla 3. Rohit and Pritam
4. All of the Above
3. Gaurav is sitting .............. of Priya.
1. to the left
2. two places right
3. to the right
4. three places left
4. The angle between Gaurav and Manish in the clockwise direction is ?
1. 30 degree
2. 210 degree
3. 180 degree
4. 90 degree
5. Which of the following statements is not correct ?
1. Pritam is between Manish and Kamla 2. Manish is two places away from Priya
3. Gaurav is sitting opposite Pritam
4. All of Above
I. A, B, C, D, E, F and G are sitting on a wall and all of them are facing east.
II. C is on the immediate right of D.
III. B is at an extreme end and has E as his neighbor. IV. G is between E and F.
V. D is sitting third from the south end.
1. Who is sitting to the Right of E?
1. A
2. C
3. D
4. G
2. Which of the following pairs of people are sitting at the extreme ends?
1. AE2. AB3. CB4. FB
3. Name the person who should change places with C such that he gets the third place from the
north end.
1. G2. F3. D 4. A
4. Immediately between which of the following pairs of people D is sitting?
1. AC2. AF3. CF4. CE
5. Which of the conditions given above are not required to find out the place in which A is sitting?
1. I2. II3. IV4. All required
A. Eleven students, A, B, C, D, E, F, G, H, I, J and K, are sitting in the first row of the class facing the
teacher.
B. D who is to the immediate left of F is second to the right of C.
C. A is the second to the right of E, who is at one of the ends.
D. J is the immediate neighbour of A and B and third to the left of G.
E. H is to the immediate left of D and third to the right of I.
1. Who is sitting in the middle of the row?
1. B2. C3. G4. I
2. Which of the following group is sitting to the right of G?
1. CHDE2. CHDF3. IBJA4. ICHDF
3. Which of the following statements is true in the context of the above sitting arrangements ?
1. There are three students sitting between D and G.2. K is between A and J.
3. B is sitting between J and I.4. G and C are neighbours sitting to the immediate right of H.
Answer: Option C
4. In the above sitting arrangement, which of the following statements is superfluous ?
1. A2. B3. D4. None
5. If E and D, C and B, A and H and K and F interchange their positions, which of the following pairs
of students is sitting at the ends ?
1. D and E2. D and K3. K and F4. D and A
(i). Eight persons E, F, G, H, I, J, K and L are seated around a square table -- two on each side.
(ii). There are three lady members and they are not seated next to each other.
(iii). J is between L and F.(iv). G is between I and F.
(v). H, a lady member, is second to the left of J.
(vi). F, a member is second is seated opposite E, a lady member.
(vii). There is a lady member between F and I.
1. Who among the following is to the immediate left of F?
1. G2. I3. J 4. H
2. What is true about J and K ?
1. J is male, K is female2. J is female, K is male
3. Both are female4. Both are male
3. How many persons are seated between K and F?
1. 12. 33. 2 4. 4
4. Who among the following are three lady members?
1. E, H and J2. E, F and G3. E, H and G4. C, H and J
Answer: Option C
5. Who among the following is seated between E and H ?
1. K2. I3. F 4. None of these
Eight friends A, B, C, D, E, F, G and H are sitting in a circle facing the centre. B is sitting between G
and D. H is third to the left of B and second to the right of A. C is sitting between A and G and B and
E are not sitting opposite to each other.
1. Which of the following statements is not correct?
1. C is third to the right of D.2. E is sitting between F and D.
3. A is sitting between C and F.4. E and C are sitting opposite of each other.
2. Who is third to the left of D?
1. A2. E3. F4. None of these
Number Series
Directions to Solve:
In each series, look for the degree and direction of change between the numbers. In other words, do
the numbers increase or decrease, and by how much
1. Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
A.
(1/3)
B.
(1/8)
C.
(2/8)
D.
(1/16)
2. Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
A.
7
B.
10 C.
12
D.
13
3. Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
A.
20
4.
B.
22
C. 23
D.
26
Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
A.
22
B.
24 C.
25
D.
26
5. Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
A.
12
B.
14 C.
27
D.
53
6. Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
A.
14
B.
15 C.
21
D.
23
7. Look at this series: 58, 52, 46, 40, 34, ... What number should come next?
A.
26
B.
28 C.
30
D.
32
8. Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
A.
7
B.
10
C.
14
D.
15
9.Look at this series: 8, 22, 8, 28, 8, ... What number should come next?
A.
9
B.
29
C. 32
D.
34
10. Look at this series: 31, 29, 24, 22, 17, ... What number should come next?
A.
15
B.
14 C. 13
D.
12
11. Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?
A.
4.2
B.
4.4 C. 4.7
D.
5.1
12. Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?
A.
52
B.
56 C. 96
D.
128
13. Look at this series: 2, 4, 6, 8, 10, ... What number should come next?
A.
11
B.
12
C.
13
D.
14
14. Look at this series: 201, 202, 204, 207, ... What number should come next?
A.
205
B.
208
C.
210
D.
211
15. Look at this series: 544, 509, 474, 439, ... What number should come next?
A.
404
B.
414 C. 420
D.
445
16. Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
A.
20
B.
25
C.
30
D.
50
17.Look at this series: 2, 6, 18, 54, ... What number should come next?
A.
108
B.
148
C.
162
D.
216
18. Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?
A.
3
B.
3.3
C.
3.5
D.
3.6
19. Look at this series: 8, 6, 9, 23, 87 , ... What number should come next?
A.
128
B.
226
C.
324
D.
429
20. Complete the series 2,2,5, 13,28,....
1.
502.
513.
524.
53
21. Complete the series
20, 19, 17, ...., 10, 5
1.
152.
163.
134.
14
494.
51
22. Complete the series
1,6,13,22,33,...
1.
462.
483.
23. 30. 5, 9, 17, 29, 45, ... ?
1.
582.
643.
654.
80
24. 13, 35, 57, 79, 911,?
1.
10052. 11103. 11134. 1140
25. In the series 3, 9, 15.. What will be the 21st term ?
1.
1232.
1263.
1294.
136
26.In the series 2, 6, 18, 54, ... what will be the 8th term ?
1.
41742. 41503. 42744. 4374