INDEX
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Sr. No
Topic Name
Pagte No.
1
Number System, H.C.F. and L.C.M. of Numbers,
Decimal Fractions and Simplification
3
2
Square Roots and Cube Roots,
Surds and Indices
18
3
Average
19
4
Problems on Numbers
24
5
Problems on Ages
31
6
Ratio and Proportion
34
7
Miscellaneous
39
8
Percentage, Profit and Loss
42
9
Pipes and Cisterns
52
10
Time and Work
53
11
Time and Distance
57
12
Problems on Trains
61
13
Alligation or Mixture
62
14
Simple Interest, Compound Interest
63
15
Calendar and Clocks
64
16
Permutations and Combinations
68
17
Probability
72
18
Heights and Distances and Trigonometry
73
19
Odd Man Out and Series
74
20
Data Interpretation
75
21
2-D Mensuration
85
22
3-D Mensuration
87
23
Section B : REASONING
88-139
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Number System, H.C.F. and L.C.M. of Numbers,
Decimal Fractions and Simplification
2023
1.
Which of the statement given above are
correct?
What is the ramainder when
(a) 1 and 2 only
85 × 87 × 89 × 91 × 95 × 96 is divided by
(b) 2 and 3 only
100 ?
(a) 0
(c) 1 and 3 only
(b) 1
(d) 1, 2 and 3
(c) 2
5.
are different non-zero digits. What is the
What is the unit digit in the expansion of
value of A+B+C ?
(57242)9 × 7 × 5 × 3 × 1 ?
3.
(a) 2
(a) 18
(b) 4
(b) 16
(c) 6
(c) 15
(d) 8
(d) Cannot be determined
insufficient data
Three of the five positive integers p, q,
r, s, t are even and two of them are old
6.
due
to
For any choices of values of X, Y, and Z,
(not necessarily in order). Consider the
the 6-digit number of the form XYZXYZ is
following:
divisible by:
(a) p + q + r – s – t is definitely even.
(a) 7 and 11 only
(b) 2p + q + 2r – 2s + t is definitely odd.
(b) 11 and 13 only
which of
(c) 7 and 13 only
the above statements is/are
correct:
(d) 7, 11 and 13
(a) 1 only
4.
A 3-digit number ABC, on multiplication
with D gives 37DD where A, B, C and D
(d) 4
2.
1
7.
How many distinct 8-digit numbers can
(b) 2 only
be formed by rearranging the digits of
(c) Both 1 and 2
the number 11223344 such that odd
(d) Neither 1 nor 2
digits occupy odd positions and even
Consider the following in respect of
prime number p and composite number
c.
1.
p+c
can be even.
p–c
digits occupy even positions?
(a) 12
(b) 18
(c) 36
(d) 72
2. 2p + c can be odd.
3. pc can be odd.
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8.
9.
C-SAT MADE EASY
Let x be a positive integer such that 7x +
13. How many natural numbers are there
96 is divisible by x. how many values of x
which give a remainder of 31 when 1186
are possible?
is divided by these natural numbers?
(a) 10
(a) 6
(b) 11
(b) 7
(c) 12
(c) 8
(d) Infinitely many
(d) 9
If p, q, r and s distinct single digit positive
14. Let pp, qq and rr be 2-digit numbers
numbers, then what is the greatest value
where p < q < r. If pp + qq + rr = tt0, where
of (p + q)(r + s) ?
tt0 is a 3-digit number ending with zero,
(a) 230
consider the following statements:
(b) 225
1. The number of possible values of p is
5.
(c) 224
2. The number of possible values of q is
6.
(d) 221
10. A number N is formed by writing 9 for
99 times. What is the remainder if N is
divided by 13 ?
correct?
(b) 2 only
(b) 9
(c)
Which of the above statements is/are
(a) 1 only
(a) 11
(c) Both 1 and 2
7
(d) Neither 1 nor 2
(d) 1
11. Each digit of a 9 digit number is 1. It is
multiplied by itself. What is the sum of
the digits of the resulting number?
15. What is the sum of all 4-digit numbers
less than 2000 formed by the digits 1,
2, 3 and 4, where none of the digits is
repeated?
(a) 64
(a) 7998
(b) 80
(b) 8028
(c) 81
(c) 8878
(d) 100
(d) 9238
12. What is the sum of all digits which appear
in all the integers from 10 to 100 ?
16. There are three traffic signals. Each
signal changes colour from green to
(a) 855
red and then from red to green. The first
(b) 856
signal takes 25 seconds, the second
signal takes 39 seconds and the third
(c) 910
signal takes 60 seconds to change the
(d) 911
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C-SAT MADE EASY
(a) The Question can be answered by
using one of the Statements alone,
but cannot be answered using the
other Statement alone.
colour from green to red. The durations
for green and red colours are same.
At 2:00 p.m, they together turn green.
At what time will they change to green
(b) The Question can be answered by
using either Statement alone.
next, simultaneously?
(a) 4:00 p.m.
(c) The Question can be answered by
using both the Statements together,
but cannot be answered using
either Statement alone.
(b) 4:10 p.m.
(c) 4:20 p.m.
(d) 4:30 p.m.
(d) The Question cannot be answered
even by using both the Statements
together.
17. Question : Is p greater than q ?
Statement -1 : p × q is greater than zero
Statement-2 : p2 is greater than q2
19. Consider a 3-digit number.
Which one of the following is correct in
Question :
Statement-1 :
respect of the above Question and the
Statements?
to the product of the
Statement-2 :
digits.
The number is divisible
by the sum of the digits
(b) The Question can be answered by
using either Statement alone.
of the number.
Which one of the following is correct in
(c) The Question can be answered by
using both the Statements together,
but cannot be answered using either
Statement alone.
respect of the above Question and the
Statements?
(a) The Question can be answered by
using one of the Statements alone,
but cannot be answered using the
other Statement alone.
(d) The Question cannot be answered
even by using both the Statements
together.
(b) The Question can be answered by
using either Statement alone.
18. Question: Is (p + q – r)) greater than
(c) The Question can be answered by
using both the Statements together,
but cannot be answered using
either Statement alone.
(p - q + r), where p, q and r are integers ?
Statement-1 : (p - q) is positive.
Statement-2 : (p - r) is negative.
(d) The Question cannot be answered
even by using both the Statements
together.
Which one of the following is correct
inrespect of the above Question and the
Statements?
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What is the number?
The sum of the digits
of the number is equal
(a) The Question can be answered by
using one of the Statements alone,
but cannot be answered using the
other Statement alone.
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C-SAT MADE EASY
QUANTITATIVE APTITUDE
2022
20. A rectangular floor measures 4 m in
length and 2.2 m in breadth. Tiles of size
140 cm by 60 cm have to be laid such
that the tiles do not overlop. A tile can
be placed in any orientation so long as
its edges are parallel to the edges of the
floor. What is the maximum number of
tiles that can be accommodated on the
floor?
23. An
Identity
Card
has
the
number
ABCDEFG, not necessarily in that order,
where each letter represents a distinct
digit (1, 2, 4, 5, 7, 8, 9 only). The number
is divisible by 9. After deleting two first
digits from the right, the resulting number
is divisible by 6. After deleting two digits
from the right of original number, the
(a) 6
resulting number is divisible by 5. After
(b) 7
deleting three digits from the right of
(c) 8
original number, the resulting number is
divisible by 4. After deleting four digits
(d) 9
from the right of original number, the
21. What is the ramainder if 2
192
is divided by
resulting number is divisible by 3. After
6?
deleting five digits from the right of
(a) 0
original number, the resulting number is
(b) 1
divisible by 2. Which of the following is a
possible value for the sum of the middle
(c) 2
three digits of the number?
(d) 4
22. AB
and
CD
are
2-digit
numbers.
Multiplying AB with CD results in a
3-digits number DEF. Adding DEF to
(a) 8
(b)
9
(c) 11
(d)
12
24. Which number amongst 240, 321, 418 and
another 3-digit number GHI results in
812 is the smallest?
975 . Further A, B, C, D, E, F, G, H, I are
(a) 240
(b)
321
distinct digits. If E = 0, F = 8, then what is
(c) 418 (d)
812
A + B + C equal to ?
25. The digits 1 to 9 are arranged in three
(a) 6
rows in such a way that each row contains
(b) 7
three digits, and the number formed in the
(c) 8
second row is twice the number formed
in the first row; and the number formed in
(d) 9
the third row is thrice the number formed
in the first row. Repetition of digits is not
allowed. If only three of the four digits
2, 3, 7 and 9 are allowed to use in the
first row, how many such combinations
are possible to be arranged in the three
rows?
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(a) 4
QUANTITATIVE APTITUDE
(c) Both Statement-1 and Statement-2
are sufficient to answer the Question
(b) 3
(d) Both Statement-1 and Statement-2
are not sufficient to answer the
Question
(c) 2
(d) 1
26. In a tournament of Chess having 150
29. How many seconds in total are there in ϰ
entrants, a player is eliminated whenever
weeks, ϰ days, ϰ hours, ϰ minutes and ϰ
he loses a match. It is given that no match
seconds?
results in a tie/draw. How many matches
(a) 11580ϰ
are played in the entire tournament?
(b) 11581ϰ
(a) 151
(c) 694860ϰ
(b) 150
(d) 694861ϰ
(c) 149
30. Let A, B and C represent distinct non-
(d) 148
27. How
zero digits. Suppose ϰ is the sum of all
many
3-digit
natural
numbers
(without repetition of digits) are there
such that each digit is odd and the
number is divisible by 5?
and C without repetation.
Consider the following statements :
1. The 4-digit least value of ϰ is 1332.
(a) 8
2. The 3-digit greatest value of ϰ is 888.
(b) 12
Which of the above statements is/are
(c) 16
correct?
(d) 24
28. Consider
possible 3-digit numbers formed by A, B
the
Question
and
two
Statements given below :
(a) 1 only
(b) 2 only
(c) Both 1 and 2
Question : Is ϰ an integer?
(d) Neither 1 nor 2
Statement-1 : ϰ/3 is not an integer.
31. What is the remainder when
Statement-2 : 3ϰ is an integer.
Which one of the following is correct
in respect of the Question and the
91 × 92 × 93 × 94 × 95 × 96 × 97 × 98 × 99
is divided by 1261?
Statements?
(a) 3
(a) Statement-1 alone is sufficient to
answer the Question
(b) 2
(b) Statement-2 alone is sufficient to
(d) 0
(c) 1
answer the Question
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32. What is the smallest number greater
(a) 7
than 1000 that when divided by any one
(b) 6
of the numbers 6, 9, 12, 15, 18 leaves a
remainder of 3?
(c) 5
(d) 4
(a) 1063
36. The sum of three conssecutive integers
(b) 1073
is equal to their product. How many such
(c) 1083
possibilities are there?
(d) 1183
(a) Only one
33. Let p be a two-digit number and q be the
number consisting of same digits writtn
in reverse order. If p × q = 2430, then
what is the difference between p and q?
(b) Only two
(c) Only three
(d) No such possiblity is there
37. What is the number of numbers of the
(a) 45
form 0. XY, where X and Y are distinct
(b) 27
non-zero digits?
(c) 18
(a) 72
(d) 9
(b) 81
34. Consider the following statements in
respect of two natural numbers p and q
such that p is a prime number and q is a
(c) 90
(d) 100
2021
composite number.
1. p × q can be an odd number.
38. If 32019 is divided by 10, then what is the
2.
q/p can be a prime number.
remainder?
3.
p + q can be prime number.
(a) 1
Which of the above statements are
(b) 3
correct?
(c) 7
(a) 1 and 2 only
(d) 9
(b) 2 and 3 only
39. The number 3798125P369 is divisible by
(c) 1 and 3 only
7. What is the value of the digit?
(d) 1, 2 and 3
(a) 1
35. If
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(b) 6
15 × 14 × 13 ×.... ×3 × 2 × 1 = 3m × n
(c) 7
Where m and n are positive integers,
then what is the maximum value of m?
(d) 9
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C-SAT MADE EASY
40. From January 1, 2021, the price of petrol
(in Rupees per litre) on m day of the year
th
is 80 + 0.1m, where m = 1, 2, 3, ..., 100 and
therafter remains costant. On the other
hand, the price of diesel (in Rupees per
QUANTITATIVE APTITUDE
1. S is always divisible by 74.
2. S is always divisible by 9.
Select the correct answer using the code
given below:
litre) on nth day of 2021 is 69 + 0.15n for
(a) 1 only
any n. On which date in the year 2021 are
(b) 2 only
the prices of these two fuels equal.
(c) Both 1 and 2
(a) 21 May
st
(d) Neither 1 nor 2
(b) 20 May
th
44. Consider the following addition problem:
(c) 19th May
3P + 4P + PP + PP = RQ2; where P, Q and
(d) 18th May
R are different digits.
41. A boy plays with a ball and he drops it
What is the arithmetic mean of all such
from a height of 1.5m. Every time the ball
possible sums?
hits the ground, it bounces back to attain
(a) 102
a height 4/5th of the previous height.
The ball does not bounce further if the
(b) 120
previous height is less than 50cm. What
(c) 202
is the number of times the ball hits the
(d) 220
ground before the ball stops bouncing?
45. Consider the following multiplication
(a) 4
problem :
(b) 5
(PQ) × 3 = RQQ, where P, Q and R are dif-
(c) 6
ferent digits and R ≠ 0.
(d) 7
What is the value of (P + R) ÷ Q ?
42. Integers are listed from 700 to 1000.
(a) 1
In how many integers is the sum of the
(b) 2
digits 10?
(c) 5
(a) 6
(d) Cannot be detemined
insufficient data.
(b) 7
to
(c) 8
46. Using 2,2,3,3,3 as digits how many
(d) 9
distinct numbers greater than 30000 can
43. Consider all 3-digit numbers (without
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due
be formed?
repetition of digits) obtained using three
(a) 3
non-zero digits which are multiples of 3.
(b) 6
Let S be their sum.
(c) 9
Which of the following is/are correct?
(d) 12
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C-SAT MADE EASY
47. Consider the following statements:
QUANTITATIVE APTITUDE
Which of the above statements is/are
1. The sum of 5 consecutive integers can
be 100.
correct?
2. The product of three consecutive
natural numbers can be equal to their
sum.
(b) 2 only
Which of the above statements is/are
(a) 1 only
(c) Both 1 and 2
(d) Neither 1 nor 2
50. When a certain number is multiplied by
correct?
7, the product entirely comprises ones
(a) 1 only
only (1111...). What is the smallest Such
(b) 2 only
Number?
(c) Both 1 and 2
(a) 15713
(d) Neither 1 nor 2
(b) 15723
48. An amount of money was distributed
among A, B and C in the ratio p : q : r.
(c) 15783
(d) 15873
Consider the following statements :
1. A gets the maximum share if p is
greater than (q + r).
2020
51. How many zeroes are there at the end of
2. C gets the minimum share if r is less
than (p + q).
the following product?
Which of the above statements is/ are
45 × 50 × 55 × 60
correct?
(a) 10
(a) 1 only
(b) 12
(b) 2 only
(c) 14
(c) Both 1 and 2
(d) 15
(d) Neither 1 nor 2
49. The
difference
between
1 × 5 × 10 × 15 × 20 × 25 × 30 × 35 × 40 ×
52. Let XYZ be a three-digit number, where (X
a
2-digit
+ Y + Z) is not a multiple of 3. Then (XYZ +
number and the number obtained by
YZX + ZXY) is not divisible by
interchanging the positions of the digits
(a) 3
is 54.
(b) 9
Consider the following statements:
1. The sum of the two digits of the
number can be determined only if the
product of the two digits is known.
(c) 37
(d) (X + Y + Z)
2. The difference between the two digits
of the number can be determined.
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53. Let p, q, r and s be natural numbers
(a) 34
such that P – 2016 = q + 2017 = r – 2018 =
(b) 36
s + 2019. Which one of the following is the largest
natural number?
(c) 38
(d) 40
58. Which one of the following will have
(a) p
minimum change in its value if 5 is added
(b) q
to both numerator and the denominator
(c) r
of the fractions 2/3, 3/4, 4/5 and 5/6?
(d) s
(a) 2/3
54. How many five-digit prime numbers can
be obtained by using all the digits 1, 2, 3,
4 and 5 without repetition of digits?
(b) 3/4
(c) 4/5
(d) 5/6
(a) Zero
59. A digit n > 3 is divisible by 3 but not
(b) One
divisible by 6. Which one of the following
(c) Nine
is divisible by 4?
(d) Ten
(a) 2n
55. How many integers are there between 1
and 100 which have 4 as a digit but are
not divisible by 4?
(b) 3n
(c) 2n + 4
(d) 3n + 1
(a) 5
60. What is the largest number among the
(b) 11
following?
(c) 12
(d) 13
(a)
1
2
(b)
1
4
(c)
1
3
(d)
1
6
56. In the sum ⊗ + 1 ⊗ + 5 ⊗ + ⊗ ⊗ + ⊗ 1 = 1 ⊗⊗
for which digit does the symbol ⊗ stand?
(a) 2
(b) 3
(c) 4
(d) 5
57. A simple mathematical operation in each
number of sequence 14, 18, 20, 24, 30,
-6
-3
-4
-2
32, 36 … results in a sequence with
respect to prime numbers. Which one of
the following is the next number in the
sequence?
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61. What is the greatest length ϰ such that
1
3
m and 8
m are integral multiples
3
2
4
of ϰ?
65. What is the remainder when 51 × 27 × 35
× 62 × 75 is divided by 100?
(a) 50
1 m
(a) 1
2
(b) 1
1m
3
(c)
1 m
4
(d)
1
QUANTITATIVE APTITUDE
(b) 25
(c) 50
(d) 1
66.
A sum of Rs. 2,500 is distributed among,
X, Y and Z in two ratio
1 3 m
4
is the difference between the maximum
share and the minimum share?
62. The recurring decimal representation
(a) Rs. 300
1.272727 … is equivalent to
(b) Rs. 350
(a) 13/11
(c) Rs. 400
(b) 14/11
(d) Rs. 450
(c) 27/99
67. For what value of n, the sum of digits in
(d) 37/99
the number (10n + 1) is 2?
63. What is the least four-digit number
(a) For n = 0 only
when divided by 3, 4, 5 and 6 leaves a
(b) For any whole number n
remainder 2 in each case?
(c) For any positive integer n only
(a) 1012
(d) For any real number n
(b) 1022
2019
(c) 1122
68. The number of times the digit 5 will
(d) 1222
appear while writing the integers 1 to
64. In adult population of a city, 40% men
and 30% women are married. What
percentage
of
adult
population
is
1000 is
(a) 269
married if no man marries more than
(b) 271
one woman and no woman marries more
(c) 300
than one man; and there are no widows
(d) 302
and widowers?
69. In a school every student is assign a
1
(a) 33 %
7
unique identification number. A student
is a football player if and only if the
(b) 34%
identification number is divisible by
2
(c) 34 7 %
(d) 35%
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1
3
5
:
:
What
2
4
6
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4, whereas a student is a cricketer if
and only if the identification number is
12
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divisible by 6. If every number from 1 to
73. Sunita cuts a sheet of paper into three
100 is assigned to a student, then how
pieces Length of first piece is equal to
many of them play cricket as well as
the average of the three single digit odd
football.
prime numbers. Length of the second
(a) 4
piece is equal to that of the first plus onethird the length of the third. The third
(b) 8
piece is as long as the other two pieces
(c) 10
together. The length of the original sheet
(d) 12
of paper is
70. If ϰ is greater than or equal to 25 and y is
(a) 13 units
less than or equal to 40, then which one
(b) 15 units
of the following is always correct?
(c) 16 units
(a) ϰ is greater than y
(d) 30 units
(b) (y - ϰ) is greater than 15
74. How many triplets (x, y, z) satisfy the
(c) (y - ϰ) is less than or equal to 15
equation x + y + z = 6 , where x, y and z
(d) (ϰ + y) is greater than or equal to 65
are natural numbers ?
71. If the numerator and denominator of a
proper fraction are increased by the
(b) 5
same positive quantity which is greater
(c) 9
than zero, the resulting fraction is
(d) 10
(a) Always less than the original fraction
(b) Always greater than the original
fraction
75. An 8 digit number 4252746B leaves
remainder 0 when divided by 3. How
many values of B are possible ?
(c) Always equal to the original fraction
(a) 2
(d) Such that nothing can be claimed
definitely
(b) 3
72. Number 136 is added to 5B7 and the
sum obtained is 7A3, where A and B are
integers. It is given that 7A3 is exactly
divisible by 3. The only possible value of
B is
(c) 4
(d) 6
2018
76. A number consist of three digits of which
the middle one is zero and their sum is 4.
(a) 2
If the number formed by interchanging
(b) 5
the first and last digits is greater than the
(c) 7
number itself by 198, then the difference
between the first and last digits is
(d) 8
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(a) 4
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(a) 1
(c) Both 1 and 2
(b) 2
(d) Neither 1 nor 2 nor 3
(c) 3
2017
(d) 4
80. If there is a policy that 1/3rd of a population
77. While writing all the numbers from 700 to
of a community has migrated every year
1000, how many numbers occur in which
from one place to some other place,
the digit at hundred’s place is greater
what is the leftover population of that
than the digit at ten’s place is greater
community after the sixth year, if there
than the digit at unit’s place?
is no further growth in the population
(a) 61
during this period?
(b) 64
(a) 16/243rd part of the population
(c) 85
(b) 32/243rd part of the population
(d) 91
(c) 32/729th part of the population
78. A
bookseller
sold
‘a’
number
of
Geography textbooks at the rate of Rs.
81. Certain
3-digit
numbers
have
x per book, a + 2 number of history
following characteristics:
textbooks at the rate of Rs. (ϰ + 2 ) per
1. All the three digits are different.
book and
a - 2 number of Mathematics
textbooks at the rate of Rs. (ϰ - 2 ) per
the
2. The number is divisible by 7
3. The number on reversing the digits is
also divisible by 7
book. What is his total sale in Rs. ?
(a) 3ϰ + 3a
How many such 3-digits numbers are
(b) 3aϰ + 8
there?
(c) 9aϰ
(a) 2
(d) ϰ a
3 3
(b) 4
79. If ϰ - y = 8 , then which of the following
must be true ?
1. Both ϰ and y must be negative for any
value of ϰ and y
2. If ϰ is positive, y must be negative for
any value of ϰ and y
3. If ϰ is negative, y must be positive for
any value of ϰ and y
(a) 1 only
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(c) 6
(d) 8
82. How many numbers are there between 99
and 1000 such that the digit 8 occupies
the units place?
(a) 64
(b) 80
(c) 90
(d) 104
(b) 2 only
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(d) 64/729th part of the population
14
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2016
83. If for a sample data Mean < Median <
Mode then the distribution is
87. If R and S are different integers both
(a) Symmetric
divisible by 5, then which of the following
(b) Skewed to the right
is not necessarily true?
(c) Neither symmetric nor skewed
(a) R − S is divisible by 5
(d) Skewed to the left
(b) R + S is divisible by 10
84. A 2-digit number is reversed. The larger
(c) R × S is divisible by 25
of the two numbers is divided by the
(d) R2 + S2 is divisible by 5
smaller one. What is the largest possible
remainder?
88. How many numbers are there between
100 and 300 which either begin or end
(a) 9
with 2 ?
(b) 27
(a) 110
(c) 36
(b) 111
(d) 45
(c) 112
85. There are certain 2-digit numbers. The
difference between the number and the
one obtained on reversing it is always
27. How many such maximum 2-digit
numbers are there?
(d) None of these
89. Four-digit numbers are to be formed
using the digits 1, 2, 3 and 4 ; and none
of these four digits are repeated in any
manner Further,
(a) 3
1. 2 and 3 each not to immediately
follow each other
(b) 4
(c) 5
2. 1 is not to be immediately followed
by 3
(d) None of the above
86. What is the total number of digits printed,
3. 4 is not appear at the last place
if a book containing 150 pages is to be
4. 1 is not appear at the first place
numbered from 1 to 150?
(a) 6
(a) 262
(b) 8
(b) 342
(c) 9
(c) 360
(d) None of the above
(d) 450
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
90. If there is a policy that 1/3rd of a
population of a community has migrated
every year from one place to some other
place, what is the leftover population
of that community after the sixth year,
if there is no further growth in the
population during this period ?
(a) 16/243rd part of the population
(b) 32/243rd part of the population
(c) 32/729th part of the population
(d) 64/729th part of the population
Prathmesh Tijare (IFoS)
AIR 85 - 2022
Saurabh Shinde cleared CSE
Prelims 2023
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
Answer Key
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1
A
19
D
37
A
55
C
73
D
2
A
20
C
38
C
56
B
74
D
3
A
21
D
39
B
57
C
75
C
4
D
22
A
40
B
58
D
76
B
5
A
23
A
41
B
59
D
77
C
6
D
24
B
42
D
60
C
78
B
7
C
25
C
43
C
61
D
79
D
8
C
26
C
44
C
62
B
80
D
9
B
27
B
45
B
63
B
81
B
10
A
28
D
46
B
64
C
82
C
11
C
29
D
47
C
65
A
83
D
12
B
30
A
48
A
66
C
84
D
13
D
31
D
49
B
67
B
85
D
14
C
32
C
50
D
68
C
86
B
15
A
33
D
51
A
69
B
87
B
16
B
34
D
52
B
70
C
88
A
17
D
35
B
53
C
71
B
89
A
18
C
36
C
54
A
72
D
90
D
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Square Roots and Cube Roots,
Surds and Indices
2020
1.
2017
How many pairs of natural numbers are
3.
The age of Mr. X last year was the
there such that the difference of whose
square of a number and it would be
squares is 63?
the cube of a number next year. What
(a) 3
is the least number of years he must
wait for his age to become the cube of
(b) 4
a number again ?
(c) 5
(a) 42
(d) 2
(b) 38
2018
2.
2
(c) 25
(d) 16
If X is between -3 and -1, and Y is between -1 and 1, then ϰ2- y2 is in between
which of the following ?
Answer Key
1
(a) -9 and 1
A
2
D
3
B
(b) -9 and -1
(c) 0 and 8
(d) 0 and 9
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3
Average
2023
1.
Which of the above statements is/ are
correct?
In how many ways can a batsman score
(a) 1 only
exactly 25 runs by scoring single runs,
fours and sixes only, irrespective of the
(b) 2 only
sequence of scoring shots ?
(c) Both 1 and 2
(a) 18
(d) Neither 1 nor 2
(b) 19
2020
(c) 20
4.
(d) 21
Consider the following date:
2022
2.
The average weight of A, B, C is 40 kg,
Girls
Boys
Overall
the average weight of B, D, E is 42 kg and
the weight of F is equal to that of B. What
is the average weight of A, B, C, D, E and
average
marks
F?
(a) 40.5 kg
Average
marks in
Hindi
8
7
8.8
X
What is the value of x in the above table?
(b) 40.8 kg
(a) 7.8
(c) 41 kg
(b) 7.6
(d) Cannot be determined as data is
inedequate.
(c) 7.4
(d) 7.2
2021
3.
Average
marks
in English
9
8
There are two classes A and B having 25
and 30 students respectively. In Class-A
the highest score is 21 and lowest score
is 17. In Class-B the highest score is 30
and lowest score is 22. Four students are
shifted from Clas-A to Class-B
5.
The average score of a batsman after his
50th innings was 46.4. After 60th innings,
his average score increases by 2.6. What
was his average score in the last ten
innings?
(a) 122
(b) 91
Consider the following stetements :
1. The average score of Class-B will
definitely decrease.
(c) 62
(d) 49
2. The average score of Class-A will
definitely increase.
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DELHI UPSC SECRETS
6.
C-SAT MADE EASY
2017
In a class, there are three groups A, B
and C. If one student from group A and
two students from group B are shifted
to group C, then what happens to the
average weight of the students of the
class?
9.
Suppose the average weight of 9 persons
is 50 kg. The average weight of the first
5 persons is 45 kg, whereas the average
weight of the last 5 persons is 55 kg.
Then the weight of the 5th person will be
(a) It increases
(a) 45 kg
(b) In decreases
(b) 47.5 kg
(c) It remains the same
(d) No conclusion can be drawn due to
insufficient data
2019
7.
QUANTITATIVE APTITUDE
The average marks of 100 students are
given to be 40. It was found later that
marks of one student were 53 which
were misread as 83. The corrected mean
marks are
(c) 50 kg
(d) 52.5 kg
10. There are thirteen 2-digit consecutive
odd numbers. If 39 is the mean of the
first five such numbers, then what is the
mean of all the thirteen numbers ?
(a) 47
(b) 49
(a) 39
(c) 51
(b) 39.7
(d) 45
(c) 40
(d) 40.3
11. The average rainfall in a city for the first
8.
A family has two children along with their
parents. The average of the weights
of the children and their mother is 50
kg. The average of the weights of the
children and their father is 52 kg. If the
weight of the father is 60 kg, then what is
four days was recorded to be 0.40 inch.
The rainfall on the last two days was in
the ratio of 4 : 3. The average of six days
was 0.50 inch. What was the rainfall on
the fifth day ?
(a) 0.60 inch
the weight of the mother ?
(b) 0.70 inch
(a) 48 kg
(c) 0.80 inch
(b) 50 kg
(d) 0.90 inch
(c) 52 kg
(d) 54 kg
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2016
2015
12. Average hourly earnings per year (E) of
14. The graph below depicts the earnings of
the workers in a firm are represented in
A and B over the period 2000 to 2010
figures A and B as follows :
A
Earnings
E
40
35
Hourly
30
earning
25
20
B
2000
2013 14 15 16 17
years Fig. A
2007
2010
Y
From the graph, which one of the
following can be concluded?
E
(a) On the average A earned more than
B during this period.
40
Hourly
earning
30
(b) On the average B earned more than
A during this period.
20
10
2013 14 15 16 17
(c) The earnings of A and B were equal
during this period.
Y
years
(d) The earnings of A were less as
compared to B during this period.
From the figures, it is observed that the
2014
(a) Values of E are different
(b) Ranges (i.e. the difference between
the maximum and the minimum) of E
are different
15. Direction for the follows 4 (four) items:
The following graph shows the average
profit of two fruit-sellers A and B in
(c) Slopes of the graphs are same
thousands (Rs) per year from the year
(d) Rates of increase of E are different
1995 to 2000. Consider the graph and
13. The average monthly income of a person
answer the 4 (four) items that follow :
in a certain family of 5 is Rs. 10,000. What
6
person in the same family if the income
5
of one person increased by Rs. 1,20,000
per year ?
(a) Rs. 12,000
(b) Rs. 16,000
(d) Rs. 34,000
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21
A
3
A
2
1
0
(c) Rs. 20,000
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Average profit in thousands (Rs.)
will be the average monthly income of a
1995
1996
1997
Year
1998
1999
2000
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DELHI UPSC SECRETS
i)
C-SAT MADE EASY
In which year is the average profit
of A and B same?
(a) 1995
QUANTITATIVE APTITUDE
Sanskrit
30
50
15
25
The difference in the mean aggregate
percentage marks of the students is
(b) 1996
(a) 2.5 %
(c) 1997
(b) 13.75 %
(d) 1998
ii) What is the difference between the
average profit of B and A in the
year 1998?
(a) - Rs. 100
(c) 1.25 %
(d) Zero
2011
17. A student on her first 3 tests receives
(b) - Rs. 1000
on an average score of N points. If she
(c) + Rs. 600
exceeds her previous average score by
20 points on her fourth test, then what is
(d) + Rs. 300
iii) How much more average profit did
A make in the year 2000 than in the
year 1999?
the average score for the first 4 tests?
(a) N + 20
(b) N + 10
(a) Rs. 200
(c) N + 4
(b) Rs. 1000
(d) N + 5
(c) Rs. 1500
(d) Rs. 2000
iv) What is the trend of the average
profit of B from the year 1997 to the
year 2000?
(a) Non - increasing
(b) Non - decreasing
(c) Steady
(d) Fluctuating
16. The following table shows the marks
obtained by two students in different
subjects:
English
Psychology
History
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Students
A
B
60 100
70 100
50 100
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C
80
70
60
D
150
100
100
Soubhagya cleared CSE & IFoS
Prelims 2023
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
Answer Key
1
B
2
C
3
A
4
A
5
C
6
C
7
B
8
D
9
C
10
A
11
C
12
C
16
C
13
A
14
A
15
i
B
ii
C
iii D
iv B
17
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D
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Problems on Numbers
2019
2020
1.
Consider the following sequence of
4.
balls and 10 rackets. Rakesh spent Rs.
52243496
1300 and Rajesh spent Rs. 1500. If each
racket costs three times a ball does, then
what is the price of a racket?
the odd number in the above sequence?
(a) 5
(a) Rs. 70
(b) 6
(b) Rs. 90
(c) 7
(c) Rs. 210
(d) 8
(d) Rs. 240
A is 16th from the left end in a row of boys
5.
the participants are vegetarian, then
from A towards the right and 3rd from V
which of the following statements is/are
towards the right end. How many boys
correct?
are there in the row?
1. At least 30 Indian participants are
vegetarian.
2. At least 10 Indian participants are
nonvegetarian
(a) 40
(b) 41
(c) 42
(d) Cannot be determined
insufficient data
In a conference, out of a total 100
participants, 70 are Indians, If 60 of
and V is 18th from the right end. G is 11th
3.
Rakesh and Rajesh together bought 10
numbers: 5 1 4 7 3 9 8 5 7 2 6 3 1 5 8 6 3 8
How many odd numbers are followed by
2.
4
due
Select the correct answer using the
to
codes given below :
One page is torn from a booklet whose
(a) 1 only
pages are numbered in the usual manner
(b) 2 only
starting from the first page as 1. The sum
(c) Both 1 and 2
of the numbers on the remaining pages
(d) Neither 1 nor 2
is 195. The torn page contains which of
6.
the following numbers.
Seeta and Geeta go for a swim after a
gap of every 2 days and every 3 days
(a) 5, 6
respectively. If on 1st January both of
(b) 7, 8
them went for a swim together, when will
(c) 9, 10
they go together next?
(d) 11, 12
(a) 7th January
(b) 8th January
(c) 12th January
(d) 13th January
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DELHI UPSC SECRETS
7.
C-SAT MADE EASY
A printer numbers the pages of a book
What was the approximate total value (in
starting with 1 and uses 3089 digits in all.
$) of sheet steel imported over the six
How many pages does the book have?
months period?
(a) 1040
(a) 45,555
(b) 1048
(b) 50,555
(c) 1049
(c) 55,550
(d) 1050
(d) 65,750
2018
8.
9.
QUANTITATIVE APTITUDE
10. X and Y are natural numbers other than
Directions for the following 3 (three)
items :
The following three items are based on
1, and Y is greater than X. Which of the
following represents the largest number?
(a) XY
the graph given below which shows
(b) X / Y
imports of three different types of steel
(c) Y / X
over a period of six months of a year.
(d) (X +Y) / XY
Study the graph and answer the three
items that follows.
11. A student has to get 40% marks to pass
in an examination. Suppose he gets 30
Thousands of tons imported
marks and fails by 30 marks, then what are
the maximum marks in the examination?
(a) 100
(b) 120
(c) 150
(d) 300
The figures in the brackets indicate the
12. 19 boys turn out for playing hockey. Of
average cost per ton over six months
these, 11 are wearing hockey shirts and
period.
14 are wearing hockey pants. There are
1.
no boys without shirts and/or pants.
By how much (measured in thousands
of tons) did the import of sheet steel
exceed the import of coil steel in the
first three months of the year ?
(a) 11
uniform?
(a) 3
(b) 5
(b) 15
(c) 6
(c) 19
(d) 8
(d) 23
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2017
13. Consider the following figures A and B:
Cost of production
(Rs. in Lakhs)
8
7
14. The sum of income of A and B is more
6
than that of C and D taken together. The
5
sum of income of A and C is the same as
4
that of B and D taken together. Moreover,
1000
2000
A earns half as much as the sum of the
3000
No. of pieces manufactured
income of B and D whose income is the
Selling Price per
(Price Rs.)
Fig. A
highest ?
(a) A
500
450
(b) B
400
350
(c) C
300
1000
2000
(d) D
3000
No. of pieces sold
15. There are three pillars X, Y and Z of
Fig. B
The manufacturing cost and projected
sales for a product are shown in the
above figures A and B respectively. What
is the minimum number of pieces that
should be manufactured to avoid a loss?
(a) 2000
different heights. Three spiders A, B
and C start to climb on these pillars
simultaneously. In one chance, A climbs
on X by 6 cm but slips down 1 cm. B
climbs on Y by 7 cm but slips down 3 cm.
C climbs on Z by 6.5 cm but slips down 2
cm. If each of them requires 40 chances
(b) 2500
to reach the top of the pillars, what is the
(c) 3000
height of the shortest pillar?
(d) 3500
(a) 161 cm
A lift has the capacity of 18 adults or 30
(b) 163 cm
children. How many children can board
(c) 182 cm
the lift with 12 adults?
(d) 210 cm
(a) 6
16. 15 students failed in a class of 52. After
(b) 10
removing the names of failed students,
(c) 12
a merit order list has been prepared in
(d) 15
which the position of Ramesh is 22nd
from the top. What is his position from the
bottom ?
(a) 18th
(b) 17th
(c) 16th
(d) 15th
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
17. Six boys A, B, C, D, E and F play a game
20. In paid of charity, every student in a
of cards. Each has a pack of 10 cards. F
class contributes as many rupees as the
borrows 2 cards from A and gives away 5
number of students in that class. With
to C who in turn gives 3 to B while B gives
the additional contribution of Rs. 2 by
6 to D who passes on 1 to E. Then the
one student only, the total collection is
number of cards possessed by D and E is
Rs. 443. Then how many students are
equal to the number of cards possessed
there in the class?
by
(a) 12
(a) A, B and C
(b) 21
(b) B, C and F
(c) 43
(c) A, B and F
(d) 45
(d) A, C and F
21. In a class, there are 18 very tall boys.
18. In a test, Randhir obtained more marks
If these constitute three-fourths of the
than the total marks obtained by Kunal
boys and the total number of boys is two
and Debu. The total marks obtained by
– thirds of the total number of students
Kunal and Shankar are more than those
in the class, what is the number of girls
of Randhir. Sonal obtained more marks
in the class?
than Shankar. Neha obtained more
(a) 6
marks than Randhir, who amongst them
obtained highest marks?
(c) 18
(a) Randhir
(d) 21
(b) Neha
22. A daily train is to be introduced between
(c) Sonal
station A and B starting from each end at
(d) Data are inadequate
6 AM and the journey is to be completed
2016
in 42 hrs. What is the number of trains
19. There are some nectar-filled flowers on
a tree and some bees are hovering on it.
If one bee lands on each flower, one bee
needed in order to maintain the shuttle
service?
(a) 2
will be left out. If two bees land on each
(b) 3
flower, one flower will be left out. The
(c) 4
number of flowers and bees respectively
(d) 7
are:
23. In a question paper there are five
(a) 2 and 4
questions to be attempted and answer
(b) 3 and 2
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(b) 12
to each question has two choices – True
(c) 3 and 4
(T) or False (F). It is given that no two
(d) 4 and 3
candidates have given the answer to the
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
For this to happen the maximum number
(c) C has more than what A and D have
together
of candidates is:
(d) B is richer than D
five questions in an identical sequence.
(a) 10
27. In a parking area, the total number of
(b) 18
wheels of all the cars (four – wheelers)
(c) 26
and
scooters
/
motorbikes
(two
–
wheelers) is 100 more than twice the
(d) 32
number of parked vehicles. The number
24. A person is standing on the first step
from the bottom of a ladder. If he has to
climb 4 more steps to reach exactly the
of cars parked is
(a) 35
middle step, how many steps does the
(b) 45
ladder have?
(c) 50
(a) 8
(d) 55
(b) 9
28. If ABC × DEED = ABCABC where A, B, C,
D and E are different digits, what are the
(c) 10
values of D and E?
(d) 11
25. In a class of 60 students, where the
(a) D = 2, E = 0
number of girls is twice that of boys,
(b) D = 0, E = 1
Kamal, a boy, ranked seventeenth from
(c) D = 1, E = 0
the top. If there are 9 girls ahead of
(d) D = 1, E = 2
Kamal, the number of boys in rank after
him is :
2014
(a) 13
29. A group of 630 children is seated in rows
(b) 12
for a group photo session. Each row
contains three less children than the row
(c) 7
in front of it. Which one of the following
(d) 3
number of rows is not possible?
2015
(a) 3
26. Each of A, B, C and D has Rs. 100. A pays
(b) 4
Rs. 20 to B, who pays Rs. 10 to C, who
(c) 5
gets Rs. 30 from D. In this context, which
(d) 6
one of the following statements is not
correct ?
(a) C is the richest
(b) D is the poorest
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2013
30. The letters L, M, N, O, P, Q, R, S and T
in their order are substituted by nine
integers 1 to 9 but not in that order 4 is
assigned to P. The difference between P
and T is 5. The difference between N and
T is 3. What is the integer assigned to N?
33. In a class of 45 students, a boy is ranked
20th. When two boys joined, his rank was
dropped by one. What is his new rank
from the end?
(a) 25th
(a) 7
(b) 26th
(b) 5
(c) 27th
(c) 4
(d) 28th
(d) 6
31. Four persons, Alok, Bhupesh, Chander
and Dinesh have a total of Rs. 100 among
themselves. Alok and Bhupesh between
them have as much money as Chander
and Dinesh between them, but Alok has
more money than Bhupesh and Chander
34. A gardener has 1000 plants. He wants to
plant them in such a way that the number
of rows and the number of columns
remains the same. What is the minimum
number of plants that he needs more for
this purpose?
has only half the money that Dinesh has.
(a) 14
Alok has in fact Rs. 5 maximum amount
(b) 24
of money?
(c) 32
(a) Alok
(d) 34
(b) Bhupesh
35. A sum of Rs. 700 has to be used to
(c) Chander
give seven cash prizes to the students
(d) Dinesh
of a school for their overall academic
32. For a charity show, the total tickets sold
were 420. Half of these tickets were
sold at the rate of Rs. 5 each, one-third
performance. If each prize is Rs. 20 less
than its preceding prize, what is the least
value of the prize ?
at the rate of Rs. 3 each and the rest for
(a) Rs. 30
Rs.2 each. What was the total amount
(b) Rs. 40
received?
(c) Rs. 60
(a) Rs. 900
(d) Rs. 80
(b) Rs. 1540
(c) Rs. 1610
(d) Rs. 2000
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
Answer Key
1
B
13
2
B
14
3
B
4
i
A
ii
B
25
B
B
26
C
15
B
27
C
C
16
C
28
C
5
C
17
B
29
D
6
D
18
D
30
D
7
C
19
C
31
A
8
C
20
B
32
C
9
C
21
B
33
C
10
A
22
C
34
B
11
C
23
D
35
B
12
C
24
B
Vipin cleared CSE & IFoS
Prelims 2023
Jitin Yadhav cleared CSE
Prelims 2023
Finally Dreams Comes True ...
Nikhil Murthy cleared CSE Prelims 2023
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Problems on Ages
2023
1.
Which one of the following is correct
in respect of the Question and the
For five children with ages a < b < c < d
statements?
< e ; any two successive ages differ by 2
(a) Statement-1 alone is sufficient to
answer the Question
years.
Question
What is the age of the
youngest child?
Statement-1 The age of the eldest is 3
times the youngest.
Statement-2 The average age of the
children is 8 years.
(b) Statement-2 alone sufficient to answer
the Question
(c) Both Statement-1 and Statement-2
are sufficient to answer the Question
(d) Both Statement-1 and Statement-2
are not sufficient to answer the
Question
Which one of the following is correct
inrespect of the above Question and the
2021
Statements?
(a) The Question can be answered by
using one of the Statements alone, but
cannot be answered using the other
Statement alone.
3.
villagers cultivate paddy. One-third of
the villagers are literate. Four-fifth of
the villagers are under 25 years of age.
Which one of the following statements is
(c) The Question can be answered by
using both the Statements together,
but cannot be answered using either
Statement alone.
certainly correct?
(a) All the villagers who have their own
houses are literate.
(b) Some villagers under 25 years of age
are literate.
(d) The Question cannot be answered
even by using both the Statements
together.
(c) Only half of the villagers who cultivate
paddy are literate.
2022
(d) No villager under 25 years of age has
his own house.
Consider the Question and two Statement
given below :
Question : What is the age of Manisha?
Statement-1 : Manisha is 24 years younger
than her mother.
Statement-2 : 5 years later, the ages of
Manisha and her mother will be in the ratio
3:5
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Half of the villagers of a certain village
have their own houses. One-fifth of the
(b) The Question can be answered by
using either Statement alone.
2.
5
4.
X said to Y, “At the time of your birth I
was twice as old as you are at present.”
If the present age of X is 42 years, then
consider the following statements :
1. 8 years ago, the age of X was five
times the age of Y.
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2. After 14 years, the age of X would
be two times the age of Y.
(b) 30 years
Which of the above statements is/are
(d) 45 years
(c) 35 years
correct?
2019
(a) 1 only
7.
(b) 2 only
age of Meera, whereas in 2010, Meenu’s
(c) Both 1 and 2
age was half the age of Meera. What is
(d) Neither 1 nor 2
Meenu’s year of birth?
2020
5.
(a) 1992
Three Statements S1, S2 and S3 are
(b) 1994
given below followed by a Question:
(c) 1996
S1 : C is younger than D, but older than
A and B.
S2 : D is the oldest.
(d) 1998
8.
Ena was born 4 years after her parents
marriage. Her mother is three years
S3 : A is the older than B.
younger than her father and 24 years
older than Ena, who is 13 years old. At
Questions:
what age did Ena’s father get married?
Who among A, B, C and D is the younges?
(a) 22 years
Which one of the following is correct in
respect of the above Statements and the
(b) 23 years
Question?
(c) 24 years
(a) S1 alone is sufficient to answer the
Question.
(d) 25 years
(b) S1 and S2 together are sufficient to
answer the Question.
(c) S2 and S3 together are sufficient to
answer the Question.
(d) S1 and S3 together are sufficient to
answer the Question.
6.
In 2002, Meenu’s age was one-third of the
The average age of a teacher and
three students in 20 years. If all the
three students are of same age and
2016
9.
The sum of the ages of 5 members
comprising a family, 3 years ago was
80 years. The average age of the family
today is the same as it was 3 years ago,
because of an addition of a baby during
the intervening period. How old is the
baby ?
(a) 6 months
the difference between the age of the
(b) 1 year
teachers and each student is 20 years,
(c) 2 years
then what is the age of the teacher?
(d) 2 years and 6 months
a) 25 years
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2011
10. Consider the four age pyramids given
Answer Key
1
B
6
C
four different countries.
2
C
7
B
D
3
B
8
B
4
B
9
B
5
D
10
C
below namely A, B, C and D representing
B
C
Age
A
Percent in age class
Which one of them indicates the declining
population?
(a) A
(b) B
(c) C
(d) D
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Ratio and Proportion
2023
1.
₹50 and ₹10.
3. 20 notes of ₹10 are used and the
remaining are in the denominations of
₹50 and ₹20.
D is a 3-digit number such that the ratio
of the number to the sum of its digits is
least. What is the difference between the
2.
digit at the hundred’s place and the digit
Which of the above statements are not
at the unit’s place of D?
correct?
(a) 0
(a) 1 and 2 only
(b) 7
(b) 2 and 3 only.
(c) 8
(c) 1 and 3 only
(d) 9
(d) 1, 2 and 3
There are large number of silver coins
4.
weighing 2 gm, 5 gm, 10 gm, 25 gm, 50 gm
each. Consider the following statemens :
1. To buy 78 gm of coins one must buy
at least 7 coins.
2. To weigh 78 gm using these coins one
can use less than 7 coins.
are correct?
(b) 68
(a) 1 only
(c) 60
(b) 2 only
(d) 52
5.
(c) Both 1 and 2
2022
₹1,840 is paid in the
denominations of ₹50, ₹20, and ₹10
A
bill
for
notes. 50 notes in all are used. Consider
the following statements :
1. 25 notes of ₹50 are used and the
remaining are in the denominations of
₹20 and ₹10.
2. 35 notes of ₹20 are used and the
remaing are in the denomiations of
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A person X wants to distribute some
pens among six children A, B, C, D, E and
(d) Neither 1 nor 2
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A has some coins. He gives half of the
coins and 2 more to B. B gives half of the
coins and 2 more to C. C Gives half of
the coins and two more to D. The number
of coins D has now, is the smallest twodigit number. How many coins does A
have in the beginning?
(a) 76
Which of the statements given above is/
3.
6
34
F. Suppose A gets twice the number of
pens received by B, three times that of
C, four times that of D, five times that
of E and six times that of F. What is the
minimum number of pens X should buy
so that the number of pens each one
gets is an even number?
(a) 147
(b) 150
(c) 294
(d) 300
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2021
6.
7.
2020
A person P asks one of his three friends X
litres of liquid A is taken out of its and
“ If Y gives me ₹ 40, then Y will have half
replace by same quantity of liquid B.
of as much as Z, but if Z gives me ₹ 40,
Again 4 litres of the mixture is taken out
then three of us will have equal amount.”
and replaced by same quantity of liquid
What is the total amount of money that X,
B. What is the ratio of quantity of liquid
Y and Z have?
A to that of liquid B in the final mixture?
(a) ₹ 420
(a) 4 : 1
(b) ₹ 360
(b) 5 : 1
(c) ₹ 300
(c) 16 : 9
(d) ₹ 270
(d) 17 : 8
2019
There are three points P, Q and R on a
is the number of possible values of PQ :
PR, then what is n equal to?
10. The ratio of a two-digit natural number to
a number formed by reversing its digits
is 4 : 7. The number of such pairs is
(a) 1
(a) 5
(b) 2
(b) 4
(c) 3
(c) 3
(d) 4
A cubical vessel of side 1 m is filled
completely
with
water.
How
many
millilitres of water is contained in it
(neglect thickness of the vessel)?
(d) 2
11. In an examination, A has scored 20 marks
more than B. If B has scored 5% less
marks than A, how much has B scored?
(a) 360
(a) 1000
(b) 380
(b) 10000
(c) 400
(c) 100000
(d) 420
(d) 1000000
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A bottle contains 20 litres of liquid A. 4
as to how much money he had. X replied,
straight line such that PQ : QR = 3 : 5. If n
8.
9.
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DELHI UPSC SECRETS
C-SAT MADE EASY
2018
QUANTITATIVE APTITUDE
14. The monthly incomes of X and Y are the
12. Directions for the following 1 (one) items:
The following three items are based on
the graph given below which shows
imports of three different types of steel
ratio of 4 : 3 and their monthly expenses
are in the ratio of 3 : 2. However, each
saves Rs. 6000 per month. What is their
total monthly income ?
over a period of six months of a year.
(a) Rs. 28000
Study the graph and answer the three
(b) Rs. 42000
items that follows.
(c) Rs. 56000
(d) Rs. 84000
2016
15. The total emoluments of two persons
are the same, but one gets allowances
to the extent of 65% of his basic pay and
the other gets allowances to the extent
of 80% of his basic pay. The ratio of the
The figures in the brackets indicate the
basic pay of the former to the basic pay
average cost per ton over six months
of the latter is :
period.
(a) 16 : 13
What was the approximate ratio of sheet
(b) 5 : 4
steel and scrap steel imports in the first
(c) 7 : 5
three months of the year ?
(d) 12 : 11
(a) 1 : 1
2015
(b) 1.2 : 1
16. In a 500 meters race, B starts 45 meters
(c) 1.4 : 1
ahead of A, but A wins the race while B
(d) 1.6 : 1
is still 35 meters behind. What is the ratio
2017
of the speeds of A and B assuming that
13. P works thrice as fast as Q, whereas P
and Q together can work four times as
(a) 25 : 21
fast as R, If P, Q and R together work on
(b) 25 : 20
a job, in what ratio should they share the
(c) 5 : 3
earnings?
(d) 5 : 7
(a) 3 : 1 : 1
17. The monthly income of Peter and Paul
(b) 3 : 2 : 4
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both start at the same time ?
are in the ratio of 4 : 3. Their expense are
(c) 4 : 3 : 4
in the ratio of 3 : 2. If each saves Rs. 6000
(d) 3 : 1 : 4
at the end of the month, their monthly
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DELHI UPSC SECRETS
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incomes respectively are (in Rs.)
QUANTITATIVE APTITUDE
19. In a rare coin collection, there is one
gold coin for every three non-gold coins.
(a) 24,000 and 18,000
10 more gold coins are added to the
(b) 28,000 and 21,000
collection and the ratio of gold coins
(c) 32,000 and 24,000
to non-gold coins would be 1 : 2. Based
(d) 34,000 and 26,000
on the information, the total number of
coins in the collection now becomes.
2013
(a) 90
18. Direction for the following questions.
Study the two figures given below and
answer the questions.
(b) 80
(c) 60
(d) 50
20. Out of 120 applicants for a post, 70 are
male and 80 have a driver’s license.
What is the ratio between the minimum
to maximum number of males having
dirver’s license ?
(a) 1 to 2
(b) 2 to 3
(c) 3 to 7
(d) 5 to 7
2012
21. Two
glasses
of
equal
volume
are
respectively half and three-fourths filled
with milk. They are then filled to the brim
by adding water. Their contents are then
Figure 1 Number of Professors in
selected disciplines in a
University by sex.
Figure 2 Age of Physics Professors
poured into another vessel. What will be
the ratio of milk to water in this vessel?
(a) 1 : 3
(b) 2 : 3
Which one of the following disciplines
(c) 3 : 2
has the highest ratio of males to females?
(d) 5 : 3
(a) Physics
(b) Mathematics
(c) Chemistry
(d) Economics
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2011
Answer Key
22. A village having a population of 4000
1
C
8
D
15
D
day. It has a tank measuring 20 m × 15 m
2
A
9
B
16
A
× 6 m. The water of this tank will last for
3
D
10
B
17
A
(a) 2 days
4
D
11
B
18
A
(b) 3 days
5
C
12
B
19
A
(c) 4 days
6
B
13
A
20
C
(d) 5 days
7
B
14
B
21
D
22
B
requires 150 liters of water per head per
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Miscellaneous
2021
1.
(c) 20 kg
(d) 25 kg
A biology class at high school predicted
that a local population of animals will
4.
A frog tries to come out of a dried well
double in size every 12 years. The
4.5 m deep with slippery walls. Every time
population at the beginning of the year
the frog jumps 30 cm, slides down 15 cm.
2021 was estimated to be 50 animals.
What is the number of jumps required for
If P represents the population after n
the frog to come out of the well?
years, then which one of the following
(a) 28
equations represents the model of the
(b) 29
class for the population?
(c) 30
(a) P = 12 + 50n
(d) 31
(b) P = 50 + 12n
2019
(c) P = 50 + (2)12n
(d) P = 50 + (2)n/12
5.
The number of parallelograms that can
be formed from a set of four parallel lines
2020
2.
intersecting another set of four parallel
A man walks down the backside of his
lines is:
house straight 25 metres, then turns to
(a) 18
the right and walks 50 metres
again;
(b) 24
then he turns towards left and again
walks 25 metres. If his house faces to the
(c) 32
East, what is his direction from the start-
(d) 36
ing point?
2018
(a) South-East
6.
(b) South-West
B. The straight line OKP represents
(d) North-West
the velocity of vehicle A at any instant,
A vessel full of water weighs 40 kg. If it
whereas the horizontal straight line CKD
is one-third filled, its weight becomes
20 kg. What is the weight of the empty
vessel?
any instant. In the figure, D is the point
where perpendicular from P meets the
1
PD = 2 LD
(b) 15 kg
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represents the velocity of vehicle B at
horizontal line CKD such that
(a) 10 kg
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The figure drawn below gives the
velocity graphs of two vehicles A and
(c) North-East
3.
7
39
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2014
Velocity
P
C
Vehicle B
K
9.
D
Points are to be marked on the line from
A
cle
i
h
Ve
O
both the end points. From each end, the
first point is at a distance of 1 cm from
Time
the end, the second point is at a distance
L
of 2cm from the first point and the third
What is the ratio between the distance
point is at a distance of 3cm from the
covered by vehicles A and B in the time
second point and so on. If the points
interval OL?
on the ends are not counted and the
(a) 1 : 2
common points are counted as one, what
is the number of points?
(b) 2 : 3
(a) 10
(c) 3 : 4
(b) 12
(d) 1 : 1
(c) 14
2017
7.
A straight line segment is 36 cm long.
(d) 16
Two walls and a ceiling of a room meet
2012
at right angles at a point P. A fly is in the
air 1m from one wall, 8m from the other
wall and 9 m from the point P. How many
meters is the fly from the ceiling?
10.
P
(a) 4
9
(b) 6
R
(c) 12
(d) 15
8
7
5
1
6
Q
2
3
S
hardworking people, circle Q represents
In a plane, line X is perpendicular to
intelligent people, Circle R represents
line Y and parallel to line Z line U is
truthful people and circle S represents
perpendicular to both lines V and W line
honest people. Which region represents
X is perpendicular to line V. the people who are intelligent, honest
Which one of the following statements is
and truthful but not hardworking?
correct?
diagram
(a) Z, U and W are parallel
(a) 6
(b) X, V and Y are parallel
(b) 7
(c) Z, V and U are all perpendicular to
W
(c) 8
(d) Y, V and W are parallel
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4
11
In the above figure, circle P represents
2015
8.
10
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(d) 11
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
Answer Key
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1
D
2
D
3
A
4
B
5
D
6
C
7
A
8
D
9
C
10
A
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Percentage, Profit and Loss
2023
1.
(b) 17
In a party, 75 persons took tea, 60
(c) 23
persons took coffee and 15 persons took
(d) 35
both tea and coffee. No one taking milk
2022
takes tea. Each person takes at least one
3.
drink.
by 20% and then again increased by 10%.
What is the resultant increase in the
Statement-1 : 50 persons took milk.
price?
Statement-2 : Number of persons who
attended the party is five times the number
of persons who took milk only.
(a) 5%
(b) 10%
Which one of the following is correct in
(c) 12.5%
respect of the above Question and the
(d) 15%
Statements?
(a) The Question can be answered by
using one of the Statements alone, but
cannot be answered using the other
Statement alone.
(b) The Question can be answered by
using either Statement alone.
(c) The Question can be answered by
using both the Statements together,
but cannot be answered using either
Statement alone.
(d) The Question cannot be answered
even by using both the Statements
together.
4.
Five friends P, Q, X, Y and Z purchased
some
notebooks.
The
relevent
information is given below:
1. Z purchased 8 notebooks more than X
did.
2. P and Q together purchased 21
notebooks.
3. Q purchased 5 notebooks less than P
did.
4. X and Y together purchased 28
notebooks.
P
purchased 5 notebooks more than X
did.
In an examination, the miximum marks
If each notebook is priced ₹ 40, then what
for each of the four papers namely P, Q,
is the total cost of all the notebooks?
R and S are 100. Marks scored by the
(a) ₹ 2,600
students are in integers. A student can
score 99% in n different ways. What is
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The increase in the price of a certain item
was 25%. Then the price was decreased
Question : How many persons attended the
party?
2.
8
(b) ₹ 2,400
the value of n?
(c) ₹ 2,360
(a) 16
(d) ₹ 2,320
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DELHI UPSC SECRETS
5.
C-SAT MADE EASY
When 70% of a number ϰ is added to
8.
and rest are foreigners. Further, 70
165% of the value of y. When 60% of the
persons in the group can speak English.
number ϰ is added to another number
The number of Indians who can speak
z, then the sum becomes 165% of the
English is
value of z. Which one of the following is
(a) 20
(b) 30
(a) z < ϰ < y
(c) 30 or less
(b) ϰ < y < z
(d) 30 or more
(c) y < ϰ < z
9.
(d) z < y < ϰ
Jay and Vijay spent an equal amount of
money to buy some pens and special
Two candidates X and Y contested an
pencils of the same quality from the
election. 80% of voters cast their vote
same store. If Jay bought 3 pens and 5
and there were no invalid votes. There
pencils, and Vijay bought 2 pens and 7
was no NOTA (None of the above) option.
pencils, then which one of the following
X got 56% of the votes cast and won by
1440 votes. What is the total number of
voters in the voters list?
is correct?
(a) 15000
(b) 12000
(a) A pencil costs more than a pen
(b) The price of a pencil is equal to that
of a pen
(c) The price of a pen is two times the
price of a pencil
(c) 9600
(d) The price of a pen is three times the
price of a pencil
(d) 5000
2021
7.
In a group of 120 persons, 80 are Indians
another number y, the sum becomes
correct?
6.
QUANTITATIVE APTITUDE
10. P scored 40 marks more than Q in an
In a class, 60% of students are from India
examination. If Q scored 10% less marks
and 50% of the students are girls. If 30%
than P, then how much did Q score?
of the Indian students are girls, then
(a) 360
what percentage of foreign students are
boys?
(b) 380
(c) 400
(a) 45%
(d) 420
(b) 40%
11. In an objective types test of 90 questions,
(c) 30%
5 marks are allotted for every correct
(d) 20%
answer and 2 marks are deducted for
every wrong answer. After attempting
all the 90 questions, a student got a total
of 387 marks. What is the number of
incorrect response?
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C-SAT MADE EASY
QUANTITATIVE APTITUDE
2020
(a) 9
(b) 13
15. As a result of 25% hike in the price of
(c) 27
rice per kg, a person is able to purchase
(d) 43
6 kg less rice for Rs. 1,200. What was the
12. A pie diagram shows -the percentage
original price of rice per kg?
and
(a) Rs. 30
other dry elements in the human body.
(b) Rs. 40
Given that proteins correspond to 16%
(c) Rs. 50
distribution
of
proteins,
water
and water corresponds to70%. If both
proteins and the other dry elements
(d) Rs. 60
correspond to p%, then what is the
16. A person bought a car and sold it for Rs.
central angle of the sector representing
3,00,000. If he incurred a loss of 20%,
p on the pie diagram?
then how much did he spend to buy the
car?
(a) 540
(a) Rs. 3,60,000
(b) 960
(b) Rs. 3,65,000
(c) 1080
(c) Rs. 3,70,000
(d) 1200
13. If the price of an article is decreased by
(d) Rs. 3,75,000
2019
20% and then the new price is increased
by 25%, then what is the net change in
the price?
B is placed on the top of A, the weight
(a) 0%
increases by 60%. How much weight will
(b) 5% increase
reduce with respect to the total weight of
(c) 5% decrease
A and B, if B is removed from the top of
(d) Cannot be determined
insufficient data
due
to
14. A man completes 7/8 of a job in 21 days.
A?
(a) 60 %
(b) 45.5 %
How many more days will it take him
(c) 40 %
to finish the job if quantum of work is
(d) 37.5 %
further increased by 50%
18. Raju has Rs. 9000 with him and he wants
(a) 24
to buy a mobile handset but he finds that
(b) 21
he has only 75% of the amount required to
(c) 18
buy the handset. Therefore, he borrows
Rs. 2000 from a friend. Then
(d) 15
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17. A and B are two heavy steel blocks. If
(a) Raju still does not have enough amount
to buy the handset.
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C-SAT MADE EASY
QUANTITATIVE APTITUDE
(b) Raju has exactly the same amount as
required to buy the handset.
(a) 1 and 2 only
(c) Raju has enough amount to buy the
handset and he will have Rs. 500 with
him after buying the handset.
(c) 1 and 3 only
(d) Raju has enough amount to buy the
handset and he will have Rs. 1000
with him after buying the handset.
19. All members of a club went to Mumbai
and stayed in a hotel. On the first day,
80% went for shopping and 50% went
for sightseeing, whereas 10% took
(b) 2 and 3 only
(d) 1,2 and 3
21. Rakesh had money to buy 8 mobile
handsets of a specific company. But the
retailer offered very good discount on
that particular handset. Rakesh could by
10 mobile handsets with the amount he
had. What was the discount the retailer
offered?
rest in the hotel. Which of the following
(a) 15 %
conclusion(s) can be drawn from the
(b) 20 %
above data ?
1. 40 % members went for shopping as
well as sightseeing.
(c) 25 %
(d) 30 %
2. 20 % members went for only shopping.
2018
Select the correct answer using the code
22. A shopkeeper sells an article at Rs. 40 and
given below :
gets X % profit. However, when he sells
(a) 1 only
it at Rs. 20, he faces same percentage
of loss. What is the original cost of the
(b) 2 only
article ?
(c) Both 1 and 2
(a) Rs. 10
(d) Neither 1 nor 2
(b) Rs. 20
20. In a school, 60% students play cricket. A
student who does not play cricket, play
football. Every football player has got
(c) Rs. 30
(d) Rs. 40
2017
a two-wheeler. Which of the following
conclusions cannot be drawn from the
above data ?
1. 60% of the students do not have two
wheelers
2. No cricketer has a two wheeler.
3. Cricket players do not play football.
Select the correct answer using the code
given below
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23. Gopal bought a cell phone and sold it to
Ram at 10% profit. Then Ram wanted to
sell it back to Gopal at 10% loss. What
will be Gopal’s position if he agreed?
(a) Neither loss nor gain
(b) Loss 1 %
(c) Gain 1 %
(d) Gain 0.5 %
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DELHI UPSC SECRETS
C-SAT MADE EASY
24. P (40% of A) + (65%of B) and
QUANTITATIVE APTITUDE
27. The monthly average salary paid to all
Q = (50% of A) + (50% of B) where A is
greater than B
the employees of a company was Rs.
5000. The monthly average salary paid
In this context, which of the following
statements is correct?
to male and female employees was Rs.
5200 and Rs. 4200 respectively. Then
the percentage of males employed in the
(a) P is greater than Q
company is
(b) Q is greater than P
(a) 75 %
(c) P is equal to Q
(d) None of the above can be concluded
with certainty
25. In a city, 12 % of households earn less
(b) 80 %
(c) 85 %
(d) 90 %
than Rs. 30,000 per year, 6% households
28. Two members X and Y are respectively
earn more than Rs. 2,00,000 per year,
20% and 28% less than a third number Z.
22% households earn more than Rs.
By what percentage is the number Y less
1,00,000 per year and 990 households
than the number X ?
earn between Rs. 30,000 and Rs. 1,00,000
(a) 12 %
per year. How many households earn
(b) 10 %
between Rs. 1,00,000 and Rs. 2,00,000
per year ?
(c) 9 %
(d) 8 %
(a) 250
29. A person allows a 10% discount for cash
(b) 240
payment from the marked price of a toy
(c) 230
and still he makes a 10 % gain. What is
(d) 225
the cost price of the toy which is marked
Rs. 770 ?
2016
26. Anita’s mathematics test had 70 problems
carrying equal marks i.e. 10 arithmetic,
(a) Rs. 610
(b) Rs. 620
30 Algebra and 30 geometry. Although
(c) Rs. 630
she answered 70% of the arithmetic, 40
(d) Rs. 640
% of algebra and 60% of the geometry
problems correctly, she did not pass
the test because she got less than 60%
marks. The number of more questions
she would have to answer correctly to
earn a 60% passing marks is:
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(a) 1 (b)
5
(c) 7 (d)
9
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DELHI UPSC SECRETS
C-SAT MADE EASY
2015
30. An
automobile
QUANTITATIVE APTITUDE
From these charts, we can conclude that
owner
reduced
his
monthly petrol consumption when the
prices went up. The price consumption
relationship is as follows:
Price (in Rs. Per litre) 40,50,60,75
Monthly consumption (in. L) 60,48,40,32
If the price goes up to Rs. 80 per litre, his
expected consumption (in litres) will be :
(a) Family A spent more money on food
than family B
(b) Family B spent more money on food
than family A
(c) Family A and Family B spent the same
amount on food
(d) The expenditure on food by family A
and family B cannot be compared.
33. A cow costs more than 4 goats but less
(a) 30
than 5 goats. If a goat costs between Rs.
(b) 28
600 and Rs. 800, which of the following is
(c) 26
a most valid conclusion?
(d) 24
(a) A cow costs more than Rs. 2,500
31. In a test, a candidate attempted only 8
questions and secured 50% marks in
each of the questions. If he obtained a
total of 40% in the test and all questions
in the test carried equal marks, how
many questions were there in the test?
(b) A cow costs less than Rs. 3,600
(c) A cow costs between Rs. 2,600 and
Rs. 3,800
(d) A cow costs between Rs. 2,400 and
Rs. 4,000
34. Candidates in a competitive examination
(a) 8
consisted of 60% men and 40% women.
(b) 10
70% men and 75% women cleared the
(c) 15
qualifying test and entered the final test
(d) 16
where 80% men and 70% women were
32. The
proportion
of
expenditure
on
various item by two families A and B are
represented in the following Bar
successful.
Which of the following statements is
correct?
(a) Success rate is higher for women
50%
Food
30%
Other
items
30%
Education
Family A
Family B
Rs. 20,0000
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(c) More men cleared the examination
than women.
60%
Other
items
20%
Education
Total expenditure (b) Overall success rate is below 50%
10% Food
(d) Both (a) and (b) above are correct.
Total expenditure
Rs. 1,00,000
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DELHI UPSC SECRETS
C-SAT MADE EASY
2014
35. If Sohan, while selling two goats at the
QUANTITATIVE APTITUDE
(c) Per capita income was always above
Rs. 5000
same price, makes a profit of 10% on one
(d) Per capita income was highest in 1994
goat and suffers a loss of 10 % on the
38. A and B decide to travel from place X
other
to place Y by bus. A has Rs. 10 with him
(a) He makes no profit and no loss
and he finds that it is 80 % of the bus
fare for two persons. B finds that he has
(b) He makes a profit of 1%
Rs. 3 with him and hands it over to A. In
(c) He suffers a loss of 1%
this context, which one of the following
(d) He suffers a loss of 2%
statements is correct?
36. Out of a total of 120 musicians in a club,
5% can play all the three instruments,
guitar, violin and flute. It so happens
that the number of musicians who
can play any two and only two of the
above instruments is 30. The number of
musicians who can play the guitar alone
is 40. What is the total number of those
who can play violin alone or flute alone?
(a) 49
(a) Now the money A has is just enough to
buy two tickets.
(b) A still needs Rs. 2 for buying the
tickets.
(c) After buying the two tickets A will be
left with 50 paise.
(d) The money A now has is still not
sufficient to buy two tickets.
2013
39. Direction for the following questions.
(b) 44
Study the two figures given below and
(c) 38
answer the questions.
(d) 30
37. The following table gives population and
total income of a city for four years.
Year
1992 1993 1994 1995
Population
20
21
22
23
In lakhs
Income
Increases 1010 1111 1225 1345
crores (Rs.)
Which one of the following statements is
correct in respect of the above data?
(a) Population increased by 5% or more
every year.
(b) Income increased by 10% or more
every year.
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
(b) 500
(c) 600
(d) 700
2011
40. There are 100 students in a particular
class. 60% students play cricket, 30%
student play football and 10% student
play both the games. Figure 1 Number of Professors in
selected disciplines in a
University by sex.
Figure 2 Age of Physics Professors
What is the number of students who play
neither cricket nor football?
(a) 25
(b) 20
(c) 18
i)
What percentage of all Psychlology
professors are females?
(a) 40 %
41. In a group of persons, 70% of the persons
are male and 30% of the persons are
(b) 50 %
ii)
(d) 15
married. If two sevenths of males are
(c) 60 %
married, what fraction of the females is
(d) 70 %
single?
If the number of female Physics
professors in the age group 25 –
34 equals 25% of all the Physics
professors in that age group, then
what is the number of male Physics
professors in the age group 25 -34 ?
(a) 2/7
(b) 1/3
(c) 3/7
(d) 2/3
42. Read the following passage and answer
(a) 9
the 3 (three) items that follow:
(b) 6
In a survey regarding a proposed
(c) 3
measure to be introduced, 2878 persons
took part of which 1652 were males.
(d) 2
1226 persons voted against the proposal
iii) If the Psychology professors in the
University constitute 2% of all the
professors in the university, then what
is the number of professors in the
university ?
of which 796 were males. 1425 persons
voted for the proposal. 196 females were
undecided.
(a) 300
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DELHI UPSC SECRETS
i)
C-SAT MADE EASY
How many females voted for the proposal?
(a) 430
QUANTITATIVE APTITUDE
(c) 426
(d) 581
(b) 600
iii) How many females were not in favour
the proposal ?
(c) 624
(a) 430
(d) 640
(b) 496
ii)
(c) 586
How many males were undecided ?
(a) 31
(d) 1226
(b) 227
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
Answer Key
1
C
10
A
19
A
28
B
37
C
2
D
11
A
20
D
29
C
38
C
3
B
12
C
21
B
30
A
39
i
C
ii
A
iii
B
4
A
13
A
22
C
31
B
40
B
5
A
14
D
23
C
32
C
41
D
6
A
15
B
24
D
33
D
7
D
16
D
25
B
34
C
8
D
17
D
26
B
35
C
9
C
18
D
27
B
36
B
42
i
B
ii
A
iii
A
Husnain cleared CSE
Prelims 2023
Salman Khan cleared CSE
Prelims 2023
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Pipes and Cisterns
9
2015
1.
Two pipes A and B can independently fill
a tank completely in 20 and 30 minutes
respectively. If both the pipes are opened
simultaneously, how much time will they
take to fill the tank completely ?
(a) 10 minutes
(b) 12 minutes
(c) 15 minutes
(d) 25 minutes
Answer Key
1
B
Bhartendra Deshmukh cleared CSE
Prelims 2023
Megha cleared CSE
Prelims 2023
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10
Time and Work
2020
2023
1.
A, B, C working independently can do
3.
A person x can complete 20% of work in 8
a piece or work in 8, 16 and 12 days
days and another person Y can complete
respectively. A alone works on Monday,
25% of the same work in 6 days. If they
B alone works on Tuesday, C alone works
work together, in how many days will
on Wednesday; A alone, again works
40% of the work by completed?
on Thursday and so on. Consider the
(a) 6
following statements:
(b) 8
1. The work will be finished on Thursday.
(c) 10
2. The work will be finished in 10 days.
(d) 12
Which of the above statements is/are
2016
correct?
4.
(a) 1 only
…
(b) 2 only
photography,
electronics
(c) Both 1 and 2
and
yachting,
gardening.
chess,
The
gardening group meets every second
(d) Neither 1 nor 2
day, the electronics group meets every
third day, the chess group meets every
2022
2.
There are five hobby clubs in a college
fourth day, the yachting group meets
24 men and 12 women can do a piece of
every fifth day and the photography
work in 30 days. In how many days can
group meets do all the five groups meet
12 men and 24 women do the same piece
on the same day within 180 days?
of work?
(a) 5
(a) 30 days
(b) 18
(b) More than 30 days
(c) 10
(c) Less than 30 days or more than 30
days
(d) 3
(d) Data is inadequate to draw any
conclusion
5.
There is an order of 19000 quantity of
a particular product from a customer.
The firm produces 1000 quantity of that
product per day out of which 5% are unfit
for sale. In how many days will the order
be completed?
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(a) 18 (b)
19
(c) 20 (d)
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DELHI UPSC SECRETS
6.
7.
C-SAT MADE EASY
A class starts at 11.00 am and lasts till
8.
QUANTITATIVE APTITUDE
Ram and Shyam work on a job together
2.27pm. Four periods of equal duration
for four days and complete 60% of it.
are held during this interval. After every
Ram takes leave then and Shyam works
period, a rest of 5 minutes is given to
for eight more days to complete the job.
the students. The exact duration of each
How long would Ram take to complete
period is :
the entire job alone?
(a) 48 minutes
(a) 6 days
(b) 50 minutes
(b) 8 days
(c) 51 minutes
(c) 10 days
(d) 53 minutes
(d) 11 days
Four friends A, B, C and D need to cross
9.
W can do 25% of a work in 30 days, X can
a bridge. A maximum of two persons can
do ¼ of the work in 10 days, Y can do 40%
cross it at a time. It is night and they just
of the work in 40 days and Z can do 1/3
have one lamp. Persons that cross the
of the work in 13 days. Who will complete
bridge must carry the lamp to find the
the work first ?
way. A pair must walk together at the
(a) W
speed of slower person. After crossing
the bridge, the person having faster
(b) X
speed in the pair will return with the
(c) Y
lamp each time to accompany another
(d) Z
person in the group. Finally, the lamp has
2014
to be returned at the original place and
the person who returns the lamp has to
10. Five persons fire bullets at a target at
cross the bridge, the time taken by them
an interval of 6,7,8,9 and 12 seconds
is as follows : A : 1 minutes, B : 2 minutes,
respectively. The number of times they
C : 7 minutes and D : 10 minutes. What
would fire the bullets together at the
is the total minimum time required by all
target in an hour is
the friends to cross the bridge?
(a) 6
(a) 23 minutes
(b) 7
(b) 22 minutes
(c) 8
(c) 21 minutes
(d) 9
(d) 20 minutes
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DELHI UPSC SECRETS
C-SAT MADE EASY
2013
13. The tank – full petrol in Arun’s motorcycle
11. Consider the following diagrams : x
men, working at constant speed, do a
certain job in y days. Which one of these
lasts for 10 days. If he starts using 25%
more everyday, how many days will the
tank – full petrol last ?
diagrams shows the relation between x
(a) 5
and y ?
(b) 6
(c) 7
y
(d) 8
2012
Days
Days
y
O
x
Men
14. Mr. Kumar drives to work at an average
O
Diagram I
Men
speed of 48km/hr. The time taken to
x
cover the first 60% of the distance is
Diagram II
y
10 minutes more than the time taken to
cover the remaining distance. How far is
his office?
(a) 30km
Days
Days
y
O
QUANTITATIVE APTITUDE
Men
x
Diagram III
(b) 40km
O
(c) 45km
Men x
(d) 48km
Diagram IV
(a) Diagram I
2011
(b) Diagram II
15. A contract on construction job specifies
(c) Diagram III
a penalty for delay in completion of the
work beyond a certain date is as follows:
(d) Diagram IV
Rs. 200 for the first day, Rs. 250 for the
12. In a garrison, there was food for 1000 s
second day, Rs. 300 for the third day etc.,
for one month. After 10 days, 1000 more
the penalty for each
s joined the garrison. How long would the
being 50 more than that of the preceding
s be able to carry on with the remaining
day. How much penalty should the
food?
contractor pay if he delays the work by
(a) 25 days
10 days ?
(b) 20 days
(a) Rs. 4950
(c) 15 days
(b) Rs. 4250
(d) 10 days
(c) Rs. 3600
succeeding day
(d) Rs. 650
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
Answer Key
1
A
6
A
11
D
2
D
7
A
12
D
3
A
8
C
13
D
4
D
9
D
14
B
5
C
10
B
15
B
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Prelims 2023
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Time and Distance
2022
1.
4.
same time to walk towards each other.
The places are separated by a distance
of 15 km. X walks with a uniform speed
of 1.5 km/hr and Y walks with a uniform
speed of 1 km/hr in the first hour, with
a uniform speed of 1.25 km/hr in the
(a) 2
second hour and with a uniform speed of
(b) 3
1.5 km/hr in the third hour and so on.
(c) 4
Which of the following is/are correct?
(d) 5
1. They take 5 hours to meet.
2. They meet midway between A and B.
Select the correct answer using the code
A bank employee drives 10 km towards
given below:
South from her house and turns to her
left and drives another 20 km. She again
(a) 1 only
turns left and drives 40 km, then she turns
(b) 2 only
to her right and drives for another 5 km.
(c) Both 1 and 2
She again turns to her right and drives
(d) Neither 1 nor 2
another 30 km to reach her bank where
2020
she works. What is the shortest distance
between her bank and her house?
5.
(a) 20 km
(b) 25 km
at an average speed of 2v km/hr, again
(c) 30 km
from X to Y at an average speed of 3v km/
hr and again from Y to X at an average
speed of 4v km/hr. Then the average
Replace the incorrect term by the correct
term in the given sequence
(b) lies between v and 2v km/hr
where odd terms and even terms follow
the same pattern.
(a) 0
(b)
1
(c) 3
(d)
6
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speed of the car for the entire journey
(a) is less than v km/hr
3, 2, 7, 4, 13, 10, 21, 18, 31, 28, 43, 40
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A car travels from a place X to place Y at
an average speed of V km/hr, from Y to X
(d) 35 km
3.
A person X from a place A and another
person Y from a place B set out at the
X and Y run a 3km race along a cicular
course of length 300 m. Their speeds are
in the rario 3 : 2. If they start together
in the same direction, how many times
would the first one pass the other (the
start-off is not counted as passing)?
2021
2.
11
(c) lies between 2v and 3v km/hr
(d) lies between 3v and 4v km/hr
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DELHI UPSC SECRETS
6.
C-SAT MADE EASY
What is the ratio of the speed in still
water to the speed of current?
9.
A freight train left Delhi for Mumbai
at an average speed of 40 km/hr. Two
hours later, an express train left Delhi for
(a) 1 : 2
Mumbail, following the freight train on
(b) 2 : 1
a parallel track at an average speed of
(c) 1 : 3
60 km/hr. How far from Delhi would the
express train meet the freight train?
(d) 3 : 1
(a) 480 km
2019
(b) 260 km
When a runner crossing the 12 km mark,
she was informed that she had completed
only
80%of
the
race.
How
many
kilometers was the runner supposed to
(c) 240 km
(d) 120 km
10. Two persons, A and B are running on a
run in this event?
circular track. At the start, B is ahead
(a) 14
of A and their positions make an angle
of 300 at the centre of the circle. When A
(b) 15
reaches the point diametrically opposite
(c) 16
to his starting point, he meets B. What is
(d) 16.5
8.
2017
A man takes half time in rowing a certain
distance downstream than upstream.
7.
QUANTITATIVE APTITUDE
the ratio of speeds of A and B, if they are
X, Y and Z are three contestants in a
running with uniform speeds ?
race of 1000 m. Assume that all run with
(a) 6 : 5
different uniform speeds. X gives Y a
(b) 4 : 3
start of 40 m and X gives Z a start of 64
(c) 6 : 1
m. If Y and Z were to compete in a race
of 1000 m, how many meters start will Y
(d) 4 : 2
2016
give to Z ?
(a) 20
11. A and B walk around a circular park.
(b) 25
They start at 8 am. From the same point
(c) 30
in the opposite directions. A and B walk
at a speed of 2 rounds per hour and 3
(d) 35
rounds per hour respectively. How many
times shall they cross each other after
8.00 am and before 9.30 am.
(a) 7
(b) 6
(c) 5
(d) 8
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2014
12. In a race, a competitor has to collect
6 apples which are kept in a straight
line on a track and a bucket is placed
at the beginning of the track which is
starting point. The condition is that the
competitor can pick only one apple at a
time, run back with it and drop it in the
bucket, how much total distance he has
15. A worker reaches his factory 3 minutes
late if his speed from his house to the
factory is 5 km/hr. If he walks at a speed
of 6 km/hr. then he reaches the factory 7
minutes early. The distance of the factory
from his house is
to run if the bucket is 5 meters from the
(a) 3 km
first apple and all other apples are placed
(b) 4 km
3 meters apart?
(c) 5 km
(a) 40 m
(d) 6 km
(b) 50 m
16. Two cars start towards each other,
(c) 75 m
from two places A and B which are at
(d) 150 m
a distance of 160 km. They start at the
2015
same time 08 : 10 AM. If the speeds of
13. In a 500 meters race, B starts 45 meters
respectively, they will meet each other at
the cars are 50 km and 30 km per hour
ahead of A, but A wins the race while B
is still 35 meters behind. What is the ratio
of the speeds of A and B assuming that
(a) 10 : 10 AM
(b) 10 : 30 AM
both start at the same time ?
(c) 11 : 10 AM
(a) 25 : 21
(d) 10 : 20 AM
2013
(b) 25 : 20
(c) 5 : 3
17. A thief running at 8 km/hr is chased by
(d) 5 : 7
a policeman whose speed is 10 km/hr. If
14. Two cities A and B are 360 km apart. A
car goes from A to B with a speed of 40
km/hr and returns to A with a speed of 60
the thief is 100 m ahead of the policeman,
then the time required for the policeman
to catch the thief will be
km/hr. What is the average speed of the
(a) 2 min
car ?
(b) 3 min
(a) 45 km/hr
(c) 4 min
(b) 48 km/hr
(d) 6 min
(c) 50 km/hr
(d) 55 km/hr
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
18. Four cars are hired at the rate of Rs. 6
per km plus the cost of diesel at Rs. 40 a
Answer Key
litre. In this context, consider the details
1
B
8
B
15
C
given in the following table:
2
B
9
C
16
A
3
A
10
A
17
B
4
C
11
A
18
A
5
B
12
D
19
A
6
D
13
A
20
B
7
B
14
B
Car
A
B
C
D
Mileage
(km/l)
8
10
9
11
Hours
20
25
24
22
Total Payment
(INR)
2120
1950
2064
1812
Which car maintained the maximum
average speed?
(a) Car A
(b) Car B
(c) Car C
(d) Car D
19. A person can walk a certain distance
and drive back in six hrs. He can also
walk both ways in 10 hrs. How much time
will he take to drive both ways?
(a) Two hours
(b) Two and a half hours
(c) Five and a half hours
Shobhit Pandey cleared CSE & IFoS
Prelims 2023
(d) Four hours
2011
20. If a bus travels 160 km in 4 hours and a
train travels 320 km in 5 hours at uniform
speeds, then what is the ratio of the
distances travelled by them in one hour?
(a) 8 : 5
(b) 5 : 8
(c) 4 : 5
(d) 1 : 2
Priyanka Kumari cleared CSE
Prelims 2023
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Problems on Trains
2013
2018
1.
A train 200 metres long is moving at the
2.
A train travels at a certain average speed
rate of 40 kmph. In how many seconds
for a distance of 63 km and then travels
will it cross a man standing near the
a distance of 72 km at an average speed
railway line?
of 6 km/hr more than its original speed.
(a) 12
If it takes 3 hours to complete the total
journey, what is the original speed of the
(b) 15
train in km/hr?
(c) 16
(a) 24
(d) 18
(b) 33
Answer Key
1
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12
D
2
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(c) 42
C
(d) 66
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13
Alligation or Mixture
2022
1.
Answer Key
There are two containers X and Y. X
contains 100 ml of milk and Y contains
1
A
2
A
3
D
100 ml of water. 20 ml of milk from X is
transferred to Y. After mixing well, 20 ml
of the mixture in Y is transferred back to
X. If m denotes the proportion of milk in
X and n denotes the proportion of water
in Y, then which one of the following is
correct?
(a) m = n
(b) m > n
(c) m < n
(d) Cannot be determined
insufficient data
due
to
2017
2.
There is a milk sample with 50% water in
it. If 1/3rd of this milk is added to equal
amount of pure milk, then water in the
new mixture will fall down to :
(a) 25%
(b)
30%
(c) 35% (d)
40%
2016
3.
30g of sugar was mixed in 180 ml water
in a vessel A, 40 g of sugar was mixed
in 280 ml of water in vessel B and 20 g
of sugar was mixed in 100 ml of water in
LIET & SCOPE BATCH STUDENT
vessel C. The solution in vessel B is :
(a) Sweeter than that in C
(b) Sweeter than that in A
(c) As sweet as that in C
(d) Less sweet than that in C
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Simple Interest, Compound Interest
2023
1.
4.
A principle P becomes Q in 1 year when
compounded half-yearly with R% annual
rate of interest. If the same principle P
becomes Q in 1 year when compounded
annually with S% annual rate of interest,
then which one of the following is
correct?
2.
As per agreement with a bank, a
businessman had to refund a loan in
some equal instalments without interest.
After paying 18 instalments he found
that 60 percent of his loan was refunded.
How many instalments were there in the
agreement?
(a) 22
(a) R = S
(b) R > S
(b) 24
(c) R < S
(d) R ≤ S
(c) 30
Three of the five positive integers p, q,
14
(d) 33
r, s, t are even and two of them are odd
(not necessarily in order). Consider the
following:
Answer Key
1
C
2. 2p+q+2r-2s+ t is definitely odd.
2
A
Which of the above statements is/are
3
D
correct?
4
C
1. p+q+r-s-t is definitely even.
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
2018
3.
A person bought a refrigerator worth Rs.
22800 with 12.5% interest compounded
yearly. At the end of first year he paid Rs.
8650 and at the end of second year Rs.
9125. How much will he have to pay at
Abhilash Bhandari cleared CSE
Prelims 2023
the end of third year to clear the debt?
(a) Rs. 9990
(b) Rs. 10000
(c) Rs. 10590
(d) Rs. 11250
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Calendar and Clocks
2023
1.
(c) 10 minutes fast
(d) 5 minutes fast
What is the number of selections of 10
consecutive things out of 12 things in a
5.
circle taken in the clockwise direction?
Consider the following statements :
1. Between 3:16 p.m. and 3:17 p.m.,
both hour hand and minute hand
coincide.
(a) 3
(b) 11
2. Between 4:58 p.m. and 4:59 p.m.,
both minute hand and second hand
coincide.
(c) 12
(d) 66
2.
If today is Sunday, then which day is it
Which of the above statements is/are
exactly on 1010 day?
correct?
(a) Wednesday
(a) 1 only
(b) Thursday
(b) 2 only
(c) Friday
(c) Both 1 and 2
(d) Saturday
(d) Neither 1 nor 2
2022
3.
2021
Which date of June 2099 among the
following is Sunday?
6.
Which day is 10th October, 2027 ?
(a) Sunday
(a) 4
(b) Monday
(b) 5
(c) Tuesday
(c) 6
(d) Saturday
(d) 7
4.
15
A man started from home at 14:30 hours
and drove to village, arriving there when
the village clock indicated 15:15 hours.
After staying for 25 minutes, he drove
back by a different route of length 1.25
times the first route at a rate twice as
7.
Joseph visits the club on every 5th day,
Harsh visits on every 24th day, while
Sumit visits on every 9th day. If all three
of them met at the club on a Sunday, then
on which day will all three of them meet
again?
fast reaching home at 16:00 hours. As
(a) Monday
compared to the clock at home, the
(b) Wednesday
village clock is
(c) Thursday
(a) 10 minutes slow
(d) Sunday
(b) 5 minutes slow
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DELHI UPSC SECRETS
C-SAT MADE EASY
2020
8.
(b) Thursday
In the particular year 12th January is a
(c) Saturday
Sunday, then which one of the following
(d) Sunday
is correct?
9.
11. A wall clock moves 10 minutes fast in
(a) 15th July is a Sunday if the year is a
leap year.
every 24 hours. The clock was set right
(b) 15th July is a Sunday if the year is
not a leap year.
Monday. When the clock shows the time
(c) 12th July is Sunday if the year is a
leap year.
correct time?
(d) 12th July is a not Sunday if the year
is a leap year.
(b) 5 : 30 pm
Consider the following data:
(d) 5 : 18 pm
Year
Birth rate
1911-1921
1921-1931
1931-1941
1941-1951
1951-1961
1961-1971
1971-1981
48.1
46.4
45.2
39.9
41.7
41.1
37.1
Death
rate
35.5
36.3
31.2
27.4
22.8
18.9
14.8
to show the correct time at 8.00 am. On
6.00 pm. On Wednesday, what is the
(a) 5 : 36 pm
(c) 5 : 24 pm
12. Which year has the same calendar as
that of 2009?
(a) 2018
(b) 2017
(c) 2016
(d) 2015
2017
For which period was the natural growth
13. If second and fourth Saturdays and all
rate maximum?
the Sundays are taken as only holidays
(a) 1911-1921
for an office, what would be the minimum
number of possible working days of any
(b) 1941-1951
month of any year ?
(c) 1961-1971
(a) 23
(d) 1971-1981
(b) 22
2019
(c) 21
10. Mr X has three children. The birthday of
the first child falls on the 5 Monday of
th
April, that of the second one falls on the
5th Thursday of November. On which day
is the birthday of his third child, which
falls on 20th December?
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(d) 20
14. A watch loses 2 minutes in every 24 hours
while another watch gains 2 minutes in
every 24 hours. At a particular instant,
the two watches showed an identical
time. Which of the following statements
(a) Monday
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QUANTITATIVE APTITUDE
is correct if 24 hour clock is followed ?
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
(a) The two watches show the identical
time again on completion of 30 days
After
(b) The two watches show the identical
time again on completion of 90 days
one above the other?
(c) The two watches show the identical
time again on completion of 120 days
(b) 62
(d) None of the above statements is
correct.
(d) 67
15. A clock strikes once at 1 o’clock, twice
at 2 o’clock and thrice 3 o’clock, and so
on. If it takes 12 seconds to strike at 5
o’clock, what is the time taken by it to
strike at 10 o’clock
how
many
minutes
(nearest
integer) will the two hands be again lying
(a) 60
(c) 65
18. A bell rings 18minutes. A second bell
rings every 24minutes. A third bell rings
every 32minutes. If all the three bells
ring at the same time at 8 o’clock in the
morning, at what other time will they all
ring together?
(a) 20 seconds
(a) 12 : 40 hrs.
(b) 24 seconds
(b) 12 : 48 hrs.
(c) 28 seconds
(c) 12 : 56 hrs.
(d) 30 seconds
(d) 13 : 04 hrs.
2015
19. If the 3rd day of a month is Monday,
16. Between 6 PM and 7 PM the minute hand
which one of the following will be the fifth
of a clock will be ahead of the hour hand
day from 21st of this month?
by 3 minutes at
(a) Monday
(a) 6 : 15 PM
(b) Tuesday
(b) 6 : 18 PM
(c) Wednesday
(c) 6 : 36 PM
(d) Friday
(d) 6 : 48 PM
2013
2014
20. There are five hobby clubs in a college.
17. Assume that
photography, yachting, chess, electronics
1. The hour and minute hands of a clock
move without jerking.
and gardening. The gardening group
2. The clock shows a time between 8’o
clock and 9’o clock.
group meets every third day, the chess
3. The two hands of the clock are one
above the other.
meets every second day, the electronics
group meets every fourth day, the
yachting group meets every fifth day and
the photography group meets do all the
five groups meet on the same day within
180 days?
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DELHI UPSC SECRETS
C-SAT MADE EASY
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(a) 3
Answer Key
(b) 5
(c) 10
(d) 18
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Delhi Secrets
67
1
C
8
C
15
C
2
B
9
D
16
C
3
D
10
B
17
C
4
D
11
A
18
B
5
C
12
D
19
C
6
A
13
B
20
A
7
B
14
D
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Permutations and Combinations
2023
1.
4.
One non-zero digit, one vowel and
one consonant from English alphabet
A flag has to be designed with 4
(in capital) are to be used in forming
horizontal stripes using some or all of
passwords, such that each password
the colours red, green and yellow. What
has to start with a vowel and end with a
is the number of different ways in which
consonant. How many such passwords
this can be done so that no two adjacent
can be generated?
stripes have the same colour?
(a) 105
(a) 12
(b) 525
(b) 18
(c) 945
(c) 24
(d) 1050
(d) 36
5.
2022
2.
There are 9 cups placed on a table
arranged in equal number of rows and
A, B and C are three places such that
there are three different roads from A to
B, four different roads from B to C and
three different roads from A to C. In how
many different ways can one travel from
A to C using these roads?
columns out of which 6 cups contain
(a) 10
(b) 27
(b) 13
(c) 54
(c) 15
(d) 81
coffee and 3 cups contain tea. In how
many ways can they be arranged so that
each row should contain at least one cup
of coffee?
(a) 18
(d) 36
3.
16
2021
There is a numeric lock which has a 3-digit
PIN. The PIN contains digits 1 to 7. There
is no repetition of digits. The digits in the
PIN from left to right are in decreasing
order. Any two digits in the PIN differ by
6.
On a chess board, in how many different
ways can 6 consecutive squares be
chosen on the diagonals along a straight
path?
at least 2. How many maximum attempts
(a) 4
does one need to find out the PIN with
(b) 6
certainty?
(c) 8
(a) 6
(d) 12
(b) 8
(c) 10
(d) 12
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DELHI UPSC SECRETS
7.
C-SAT MADE EASY
2018
There are 6 persons arranged in a row.
Another person has to shake hands with
3 of them so that he should not shake
hands with two consecutive persons. In
how many distinct possible combinations
can the handshakes take place?
10. A bag contains 15 red balls and 20 black
balls. Each ball is numbered either 1 or 2
or 3.20% of the red balls are numbered
1 and 40% of them are numbered 3.
Similarly, among the black balls, 45% are
(a) 3
numbered 2 and 30% are numbered 3.
(b) 4
A boy picks a ball at random. He wins if
(c) 5
the ball is red and numbered 3 or if it is
black and numbered 1 or 2. What are the
(d) 6
chances of his winning?
2020
8.
QUANTITATIVE APTITUDE
How many different sums can be formed
with the denomination Rs. 50, Rs. 100,
Rs. 200, Rs. 500, and Rs. 2,000 taking at
least three denominations at a time?
(a) 16
1
2
4
(b)
7
(c) 5
9
12
(d)
13
(a)
(b) 15
11. For a sports meet, a winner’s stand
(c) 14
comprising three wooden blocks is in the
(d) 10
following form :
2019
9.
Suppose you have sufficient amount of
rupee currency in three denominations:
Rs. 1, Rs. 10, Rs. 50. In how many different
ways can you pay a bill of Rs. 107 ?
There are six different colours available
(a) 16
to choose from and each of the three
(b) 17
wooden blocks is to be painted such
(c) 18
that no two of them has the same colour.
In how many different ways can the
(d) 19
winners’ stand be painted?
(a) 120
(b) 81
(c) 66
(d) 36
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
2017
2015
12. A bag contains 20 balls. 8 balls are
15. There are 5 tasks and 5 persons. Tasks-1
green, 7 are white and 5 are red. What is
cannot be assigned to either person-1
the minimum number of balls that must
or person-2. Task -2 must be assigned
be picked up from the bag blindfolded
to either person-3 or person 4. Every
(without replacing any of it) to be
person is to be assigned one task. In how
assured of picking at least one ball of
many ways can the assignment be done
each colour?
?
(a) 17
(a) 6
(b) 16
(b) 12
(c) 13
(c) 24
(d) 11
(d) 144
13. If 2 boys and 2 girls are to be arranged in
16. In a box of marbles, there are three less
a row so that the girls are not next to each
white marbles than the red ones and five
other, how many possible arrangements
more white marbles than the green ones.
are there ?
If there are a total of 10 white marbles,
(a) 3
how many marbles are there in the box ?
(b) 6
(a) 26
(b)
28
(c) 12
(c) 32 (d)
36
2014
(d) 24
14. Directions for the following questions:
17. Six identical cards are placed on a table.
Consider the given information and
Each card has number 1 marked on one
answer the items that follow:
side and number 2 marked on its other
Eight railway stations A, B, C, D, E,
F, G and H are connected either by
two – way passages or one-way
passages. One-way passages are
from C to A, E to G, B to F, D to H, G
to C, E to C and H to G. Two – way
passages are between A and E, G
and B, F and D, and E and D.
such a manner that the number 1 is on
the upper side. In one try, exactly four
(neither more nor less) cards are turned
upside down. In how many least number
of tries down. In how many least number
of tries can the cards be turned upside
down such that all the six cards show
In how many different ways can a train
number 2 on the upper side ?
travel from F to A without passing through
(a) 3
any station more than once?
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side. All the six cards are placed in
(a) 1 (b)
2
(c) 3 (d)
4
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(b) 5
(c) 7
(d) This cannot be achieved.
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DELHI UPSC SECRETS
C-SAT MADE EASY
QUANTITATIVE APTITUDE
Answer Key
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1
C
2
C
3
C
4
C
5
D
6
B
7
B
8
A
9
C
10
B
11
A
12
B
13
C
14
D
15
C
16
B
17
A
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17
Probability
2023
1.
3.
balls, 26 green balls, 28 yellow balls, 38
Raj has ten pairs of red, nine pairs of
red balls and 54 white balls. Consider the
white and eight pairs of black shoes in a
following statements:
box. If he randmoly picks shoes one by
1. The smallest number n such that any
n balls drawn from the box randomly
must contain one full group of at least
one colour is 175.
one (without replacement) from the box
to get a red pair of shoes to wear, what is
the maximum number of attempts he has
to make?
2. The smallest number m such that any
m balls drawn from the box randomly
must contain at least one ball of each
colour is 167.
(a) 27
(b) 36
(c) 44
Which of the above statements is/are
(d) 45
2.
correct?
There are four letters and four envelopes
(a) 1 only
and exactly one letter is to be put in exactly
one envelope with the correct address. If
(b) 2 only
the letters are randomly inserted into the
(c) Both 1 and 2
envelopes, then consider the following
(d) Neither 1 nor 2
statement :
1.
It is possible that exactly that exactly
one letter goes into an incorrect
envelope.
2016
4.
A round archery target of diameter 1m
is marked with four scoring regions from
2. There are only six ways in which only
two letters can go into the correct
envelops.
the centre outwards as red, blue, yellow
Which of the statements given above is/
bands is equal. If archers throw arrows
are correct?
towards the target, what is the probabili-
and white. The radius of the red band
is 0.20m. The width of all the remaining
ty that the arrows fall in the red region of
(a) 1 only
the archery target?
(b) 2 only
(a) 0.40
(c) Both 1 and 2
(b) 0.20
(d) Neither 1 nor 2
(c) 0.16
Answer Key
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A box contains 14 black balls, 20 blue
(d) 0.04
1
B
3
C
2
B
4
C
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Heights and Distances and
Trigonometry
18
2020
1.
If you have two straight sticks of length
7.5 feet and 3.25 feet, what is the
minimum length can your measure?
(a) 0.05 foot
(b) 0.25 foot 35
(c) 1 foot
(d) 3.25 feet
2016
2.
AB is a vertical trunk of a huge tree with
A being the point where the base of trunk
touches the ground. Due to a cyclone
the trunk has been broken at C which is
at a height of 12 meters, broken part is
partially attached to the vertical portion
of the trunk at C. If the end of the broken
part B touches the ground at D which is
at a distance of 5 meters from A, then the
original height of the trunk is
(a) 20 m
(b) 25 m
(c) 30 m
(d) 35 m
Mansi cleared CSE
Prelims 2023
Answer Key
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1
C
2
B
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Odd Man Out and Series
2019
1.
4.
Consider the sequence given below :
4/12/95, 1/1/96, 29/1/96, 26/2/96, …. What
What is X in the sequence: 132, 129, 124,
is the next term of the series?
117, 106, 93, X ?
(a) 24/3/96
(a) 74
(b) 25/3/96
(b) 75
(c) 26/3/96
(c) 76
(d) 27/3/96
(d) 77
2.
2013
What is X in the sequence: 4, 196, 16,
144, 36, 100, 64, X ?
5.
(a) 48
Consider the following matrix:
3
2
1
(b) 64
(c) 125
370
224
730
7
6
X
What is the number at X in the above
(d) 256
matrix?
2018
3.
19
Consider
the
(a) 5
following
pattern
of
numbers :
(b) 8
(c) 9
8
10
15
13
6
5
7
4
4
6
8
8
6
11
16
?
(d) 11
What is the number at? in the above
pattern ?
(a) 17
(b) 19
(c) 21
(d) 23
Answer Key
1
C
2
B
4
B
5
C
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Animesh cleared CSE
Prelims 2023
A
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Data Interpretation
2022
1.
3.
Consider the following Table:
Player
A pie chart gives the expenditure on
five different items A, B, C, D and E in a
household. If B, C, D and E correspond
to 90°, 50°, 45° and 75° respectively, then
what is the percentage expenditure on
A
B
C
D
item A? of
(a)
(c)
(b)
(d)
112
9
125
9
155
9
250
9
Runs
Balls
Runs
Balls
scored faced scored faced
in the
in the in the
in the
First
First Second Second
Innings Innings Innings Innings
61
99
14
76
05
12
50
85
15
75
20
50
13
55
12
50
Who is the fastest run scorer in the
TestMatch?
(a) A
(b) B
(c) C
2021
2.
20
(d) D
2019
You are given two identical sequences in
two rows :
4.
Sequence-I 8 4 6 15 52.5 236.25
Passage :
Six students A, B, C, D, E and F appeared
in several tests. Either C or F scores the
Sequence-II 5 A B C
D
highest. Whenever C scores the highest,
E
then E scores the least. Whenever F
What is the entry in the place of C for the
scores the highest, B scores the least.
Sequence-II?
i) In all the tests they got different marks
(a) 2.5
: D scores higher than A, but they are
(b) 5
close competitors; A scores higher than
B; C scores higher than A. If F stands in
(c) 9.375
the ranking, then the position of B is
(d) 32.8125
(a) Third
(b) Fourth
(c) Fifth
(d) Sixth
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QUANTITATIVE APTITUDE
2018
ii) If B scroes the least, the rank of C will
be
6.
(a) Second
Directions for the following 3 (three)
items : The following three items are
(b) Third
based on the graph given below which
(c) Fourth
shows imports of three different types
of steel over a period of six months of
(d) Second or third
a year. Study the graph and answer the
iii) If E is ranked third, then which one of
three items that follows.
the following is correct?
(a) E is gets more marks than C
(b) C gets more marks than E
(c) A is ranked fourth
(d) D is ranked fifth
5.
Directions for the following 2 (two) items:
Read the following statements S1 and S2
and answer the two items that follow.
S1: Twice the weight of Sohan is less than
the weight of Mohan or that of Rohan
S2: Twice the weight of Rohan is greater
than the weight of Mohan or that of
Sohan
The figures in the brackets indicate the
average cost per ton over six months
period.
i)
i) Which one of the following statements
is correct?
(a) Weight of Mohan is greatest
(a) 11
(b) Weight of Sohan is greatest
(b) 15
(c) Weight of Rohan is greatest
(d) Whose weight is greatest cannot be
determined.
ii) Which one of the following statements
is correct?
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By how much (measured in thousands
of tons) did the import of sheet steel
exceed the import of coil steel in the
first three months of the year?
(c) 19
(d) 23
ii)
What was the approximate total value
(in $) of sheet steel imported over the
six months period?
(a) Weight of Mohan is least
(a) 45,555
(b) Weight of Sohan is least
(b) 50,555
(c) Weight of Rohan is least
(c) 55,550
(d) Whose weight is least cannot be
determined.
(d) 65,750
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after 35 years.
iii) What was the approximate ratio of
sheet steel and scrap steel imports in
the first three months of the year ?
3. Death rate has fallen by 10% in the
first 10 years
(a) 1 : 1
4. Birthrate has stabilized after 35
years. Which of the above are the
most logical and rational statements
that can be made from the above
graph ?
(b) 1.2 : 1
(c) 1.4 : 1
(d) 1.6 : 1
7.
Directions for the following 2(two) items
(a) 1 and 2 only
: Consider the following graph in which
Birth and death rates per Thousand
QUANTITATIVE APTITUDE
the birthrate and death rate of a country
(b) 1,2 and 3 only
are given, and answer the two items that
(c) 3 and 4 only
follows.
(d) 2 and 4 only
8.
30
For a sports meet, a winner’s stand
comprising three wooden blocks is in the
following form :
Birth rate
20
Death rate
10
0
1970
There are six different colours available
1990
Years
1980
2000
2010
to choose from and each of the three
wooden blocks is to be painted such
i) Looking at the graph, it can be inferred
that from 1990 and 2010
(a) Population growth rate has increased
(b) Population growth rate has decreased
(c) Growth rate of population has
remainded stable
(d) Population growth rate shows no trend
that no two of them has the same colour.
In how many different ways can the
winners’ stand be painted ?
(a) 120
(b) 81
(c) 66
(d) 36
ii) With reference to the above graph
consider
the
following
statements
considering 1970 as base year :
1. Population has stabilized after 35
years.
2. Population growth rate has stabilized
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DELHI UPSC SECRETS
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Average hourly earnings per year (E) of
the workers in a firm are represented in
figures A and B as follows :
E
40
500
450
400
350
300
1000
30
The manufacturing cost and projected
2013 14 15 16 17
sales for a product are shown in the
Y
above figures A and B respectively. What
years
is the minimum number of pieces that
E
should be manufactured to avoid a loss ?
40
35
Hourly
30
earning
25
20
(a) 2000 (b)
2500
(c) 3000 (d)
3500
11. Consider the following graphs. The
2013 14 15 16 17
years Fig. A
Y
curves in the graphs indicates different
age groups in the population of two
countries A and B over a period of few
From the figures, it is observed that the
decades :
(a) Values of E are different
(b) Ranges of E are different
(c) Ranges (i.e. the difference between
the maximum and the minimum) of E
are different
12
10
0.8
0.6
0.4
0.2
0
1950
Population (in millons)
Consider the following figures A and B:
8
7
6
5
4
1000
2000
Country A
1970 1990 2010
Years
<15
15-64
(d) Rates of increase of E are different
Cost of production
(Rs. in Lakhs)
3000
Fig. B
20
10
10.
2000
No. of pieces sold
Population (in millons)
Hourly
earning
Selling Price per
(Price Rs.)
9.
C-SAT MADE EASY
12
10
0.8
0.6
0.4
0.2
0
1950
3000
2030 2050
64+
Country B
1970 1990 2010
Years
<15
15-64
2030 2050
64+
No. of pieces manufactured
Fig. A
With reference to the above graphs,
which of the following are the most
logical and rational inferences that can
be made
1. Over the last two and a half decade,
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the dependency ratio for country B
has decreased.
2. By the end of next two and a half
decades, the dependency ratio of
country A will be much less than that
of country B
3. In the next two decades, the work
force relative to its total population
will increase in country B as compared
to country A.
Select the correct answer using the code
QUANTITATIVE APTITUDE
(b) Increasing the liquidity
(c) Encouraging both public and private
savings.
(d) Anti-inflationary stance
13. Directions for the following 2 (two) items:
The following table gives the GDP growth
rate and Tele-density data of different
states of a country in a particular year.
Study the table and answer the two items
that follow.
States
given below
(a) 1 and 2 only
(b) 2 and 3 only
(c) 1 and 3 only
(d) 1, 2 and 3
12. The graph given below indicates the
changes in key policy rates made by the
central Bank several times in a year :
Key policy rates %
7.25
7.50
7.00
6.50
6.00
5.50
5.00
7.50
(+25)
7.50
(+25)
Repo Rate
6.25
CRR
6.00
6.00
6.00
(0)
Reverse Repp Rate
5.50
4.50
tele-density
70.27
35.88
50.7
5.94
76.12
77.5
104.86
6
82.25
96.7
57.7
63.8
52.3
97.9
62.3
93.8
49.9
47.84
of the following is/are the most logical
4.00
3.50
and rational inference / inferences that
Jul 2
Jul 27
Sep 16 Nov 2
Des 16 Jan 25 Mar 17 May 3 Jun 16
2010
2011
Which one of the following can be the
most likely reason for the Central Bank
for such an action
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can be made?
1. Higher per capita income is generally
associated with higher Tele-density.
2. Higher GDP growth rate always
ensure higher per capita income.
3. Higher GDP growth rate does not
necessary ensure higher Tele-density.
(a) Encouraging foreign investment
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GDP
growth
rate($)
9.52
5.31
10.83
9.78
10.8
11.69
8.88
6.92
7.76
9.55
4.7
7.85
9.37
5.46
7.48
7.03
5.8
7.49
With reference to the above table, which
4.00
3.00
state 1
state 2
state 3
state 4
state 5
state 6
state 7
state 8
state 9
state 10
state 11
state 12
state 13
state 14
state 15
state 16
state 17
state 18
per
capita income($)
704
419
254
545
891
1077
9100
395
720
893
363
966
495
864
497
777
335
599
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Select the correct answer using the code
With reference to the above graph, hich
given below
of the following is/are the most logical
(a) 1 only
and rational inference / inferences that
can be made?
(b) 2 and 3
(c) 1 and 3
(d) 3 only
14. With reference to the above table, the
following assumption have been made:
1. Nowadays, prosperity of an already
high performing stata cannot e
sustained without making further
large investments in its telecom
infrastructure.
2. Nowadays, a very high Tele-density
is the most essential condition for
promoting the business and economic
growth in a state.
Which of the above assumptions is/are
1. During the given period, the revenue
from Direct Taxes as percentage of
gross tax revenue has increased while
that of Indirect Taxes decreased.
2. The trend in the revenue from excise
duty demonstrates that the growth
of manufacturing sector has been
negative during the given period
Select the correct answer using the code
given below:
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
2015
valid?
(a) 1 only
16. Year – wise variation of the price of
(b) 2 only
a certain commodity is shown in the
(c) Both 1 and 2
following graph :
15. The
following
graph
indicates
the
composition of our tax revenue for a
30
20
10
1990
2000
Years →
2010
The price of the commodity in the year
1990
Customs
Corporate
Tax
Personal
income
tax
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2009-10
(Prov)
2010-11
(BE)
2008-09
2007-08
2006-07
2005-06
2004-05
2003-04
1995-96
(a) Must have been Rs. 10
Excise
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40
0
1980
45
40
35
30
25
20
15
10
5
0
1990-91
Per cent of gross tax revenue
period of two decades :
Price in Rupees →
50
(d) Neither 1 nor 2
Service
tax
(b) Must have been Rs. 12
(c) Must have been anywhere between
Rs. 10/- and 20/(d) Is higher than that in the year 1991
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DELHI UPSC SECRETS
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2014
17. Direction for the follows 4 (four) items :
The following graph shows the average
profit of two fruit-sellers A and B in
QUANTITATIVE APTITUDE
iv) What is the trend of the average profit of B from the year 1997 to the year
2000?
(a) Non - increasing
thousands (Rs) per year from the year
(b) Non - decreasing
1995 to 2000. Consider the graph and
(c) Steady
answer the 4 (four) items that follow :
(d) Fluctuating
18. The following table gives population and
Avarage profit in thousands (Rs.)
total income of a city for four years.
5
B →
4
3
A
2
1
0
i)
Year
1992 1993 1994 1995
Popula20
21
22
23
tion In
lakhs
Income 1010 1111 1225 1345
Increases
crores
(Rs.)
6
1995 1996
1997
Year
1998
1999 2000
In which year is the average profit of A
and B same ?
Which one of the following statements is
(a) 1995
(a) Population increased by 5% or more
every year.
(b) 1996
(b) Income increased by 10% or more
every year.
(c) 1997
(d) 1998
ii)
correct in respect of the above data?
What is the difference between the
average profit of B and A in the year
1998?
(a) - Rs. 100
(c) Per capita income was always above
Rs. 5000
(d) Per capita income was highest in 1994
2013
(b) - Rs. 1000
19. Direction for the following questions.
(c) + Rs. 600
Study the two figures given below and
(d) + Rs. 300
answer the questions.
iii) How much more average profit did A
make in the year 2000 than in the year
1999?
(a) Rs. 200
(b) Rs. 1000
(c) Rs. 1500
(d) Rs. 2000
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iv) If the number of female Physics professors in the age group 25 – 34 equals
25% of all the Physics professors in
that age group, then what is the number of male Physics professors in the
age group 25 -34 ?
(a) 9
(b) 6
Figure1
Figure 2
i)
disciplines in a University by sex.
Age of Physics Professors.
(d) 2
How many Physics professors belong
to the age group 35 – 44
(a) 18
(b) 16
v)
If the Psychology professors in the
University constitute 2% of all the professors in the university, then what is
the number of professors in the university?
(a) 400
(c) 14
(b) 500
(d) 12
ii)
(c) 3
Number of Professors in selected
(c) 600
Which one of the following disciplines
has the highest ratio of males to females ?
(d) 700
2012
(a) Physics
20. Consider
(b) Mathematics
following
information
regarding the performance of class of
1000 students in four different tests:
(c) Chemistry
Test
(d) Economics
Average
iii) What percentage of all Psychlology
professors are females ?
(a) 40 %
Marks
Range of
marks
(b) 50 %
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the
I
II
III
IV
60
60
70
80
30
45
20
0
to
to
to
to
90
75
100
100
(c) 60 %
If a student scores 74 marks in each
(d) 70 %
following tests is her performance the
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of the four tests, in which one of the
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DELHI UPSC SECRETS
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best comparatively?
QUANTITATIVE APTITUDE
Distribution of diseases in town - A
(a) Test I
(b) Test II
(c) Test III
(d) Test IV
2011
21. The followings figures has four curves
namely A, B, C and D, Study the figure
A
Distribution of diseases in town - B
2000
1800
D
1600
1400
1000
AD
800
600
400
0
C
B
1200
6
5
4
3
2
1
0
200
Population (billions
and answer the item that follows.
Year
Which curve indicates the exponential
growth?
(a) A
(b) B
(a) Town A
(c) C
(b) Town B
(d) D
(c) Same in Town A and Town B
22. Directions for the following 2 (two) items:
The following pie charts show the breakup of disease categories recorded in
the patients from two towns, Town A
and Town B. Pie charts plot the disease
Categories as percentage of the total
number of patients. Based on these,
answer the two items that follow the
charts.
i)
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Which of the two towns has a higher
number of persons with Diabetes?
Delhi Secrets
83
(d) No inference can be drawn
ii) What can we say about persons
with more than one disease from
these graphs?
(a) There are likely to be persons
with more than one disease in
Town A.
(b) There are likely to be persons
with more than one disease in
Town B.
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DELHI UPSC SECRETS
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(c) There are likely to be persons
with more than one disease in
both Towns A and B.
1
D
13
D
(d) No inference can be drawn.
2
C
14
D
3
B
15
A
16
C
23. Consider the following Velocity-Time
Answer Key
graph. It shows two trains starting
simultaneously on parallel tracks.
4
Velocity
Train B
0
Time
to
With reference to the above graph, which
one of the following statements is not
6
correct ?
(a) Train B has an initial acceleration
greater than that of Train A.
(b) Train B is faster than Train A at all
times.
7
(c) Both trains have the same velocity at
time to’
(d) Both trains travel the same distance in
time to units.
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i)
C
ii)
D
iii)
B
i)
D
5
Train A
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QUANTITATIVE APTITUDE
84
17
ii)
B
i)
C
ii)
C
iii)
B
i)
A
ii)
i)
B
ii)
C
iii)
D
iv)
B
18
19
D
C
i)
B
ii)
A
iii)
C
iv)
A
v)
B
8
A
20
B
9
C
21
C
10
A
22
11
C
23
12
D
i)
D
ii)
B
D
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2-D Mensuration
2022
1.
Which of the above statements is/are
correct?
Consider the following statements in
respect of a rectangular sheet of length
(a) 1 only
20 cm and breadth 8 cm :
(b) 2 only
1. It is possible to cut the sheet exactly
into 4 square sheets.
(c) Both 1 and 2
2. It is possible to cut the sheet into 10
triangular sheets of equal area.
(d) Neither 1 nor 2
4.
If 1 litre of water weighs 1 kg, then how
many cubic millimetres of water will
Which of the above statements is/are
weigh 0.1 gm?
correct?
(a) 1
(a) 1 only
(b) 10
(b) 2 only
(c) 100
(c) Both 1 and 2
(d) 1000
(d) Neither 1 nor 2
2019
2020
2.
5.
The number of parallelograms that can
Let x, y be the volumes; m, n be the
be formed from a set of four parallel lines
masses of two metallic cubes P and Q
intersecting another set of four parallel
respectively. Each side of Q is two times
lines is :
that of P and mass of Q is two times that
(a) 18
of P. Let u = m / x and v = n /y. Which one
(b) 24
of the following is correct?
(c) 32
(a) u = 4v
(d) 36
(b) u = 2v
2018
(c) v = u
(d) v = 4u
3.
6.
How many diagonals can be drawn by
Consider the following statements:
joining the vertices of an octagon?
1. The minimum number of points of
intersection of a square and a circle
is 2.
(a) 20
2. The maximum number of points of
intersection of a square and circle is
8.
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(b) 24
(c) 28
(d) 64
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7.
C-SAT MADE EASY
There are 24 equally spaced points lying
agricultural field will not exceed which
on the circumference of a circle. What
one of the following values ?
is the maximum number of equilateral
(a) 400 sq.m
triangles that can be drawn by taking
(b) 300 sq.m
sets of three points as the vertices?
(c) 200 sq.m
(a) 4
(d) 80 sq.m
(b) 6
11. A and B walk around a circular park.
(c) 8
They start at 8 am. from the same point in
(d) 12
8.
the opposite directions. A and B walket
Twelve equal squares are placed to fit
at a speed of 2 rounds per hour and 3
in a rectangle of diagonal 5cm. There
rounds per hour respectively. How many
are three rows containing four squares
times shall they cross each other after 8
each. No gaps are left between adjacent
am and before 9.30 am. ?
squares. What is the area of each square?
(a) 7
5
sq.cm
7
7
(b)
sq.cm
5
(c) 1 sq.cm
(b) 6
(a)
(d)
9.
QUANTITATIVE APTITUDE
25
sq.cm
12
(c) 5
(d) 8
2014
12. A gardener increased the area of his
rectangular garden by increasing its
2017
length by 40% and decreasing its width
There are 4 horizontal and 4 vertical
by 20%. The area of the new garden.
lines, parallel and equidistant to one
(a) Has increased by 20 %
another on a board. What is the maximum
(b) Has increased by 12 %
number of rectangles and squares that
can be formed ?
(c) Has increased by 8 %
(a) 16
(d) Is exactly the same as the old area
(b) 24
(c) 36
Answer Key
(d) 42
2016
10. An agricultural field is in the form of a
rectangle having length X1 meters and
1
C
2
A
3
B
4
C
5
D
6
A
7
C
8
C
9
C
10
A
11
A
12
B
breadth X2 meters (X1 and X2 are variable).
If X1+ X2 = 40 meters, then the area of the
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22
3-D Mensuration
2023
1.
3.
A cuboid of dimensions 7 cm x 5 cm
x 3 cm is painted red, green and blue
colour on each pair of opposite faces of
dimensions 7 cm x 5 cm, 5 cm x 3 cm, 7
cm x 3 cm respectively. Then the cuboid
A cylindrical overhead tank of radius
2m and height 7m is to be filled from an
underground tank of size 5.5m × 4m × 6m
. How much portion of the underground
tank is still filled with water after filling
the overhead tank completely?
is cut and separated into various cubes
(a) 1/3
each of side length 1 cm. Which of the
(b) 1/2
following statements is/are correct?
(c) 1/4
1. There are exactly 15 small cubes with
no paint on any face.
(d) 1/6
2. There are exactly 6 small cubes with
exactly two faces, one painted with
blue and the other with green.
Answer Key
1
A
2
C
3
A
Select the correct answer using the code
given below:
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
2016
2.
A piece of tin is in the form of a rectangle
having length 12cm and width 8 cm. This
is used to construct a closed cube. The
side of the cube is :
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 6 cm
Prasanth M. cleared CSE &
IFoS Prelims 2023
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Section B : REASONING
2023
1.
5.
If ABC and DEF are both 3-digit numbers
1. A is older than B.
such that A, B, C, D, E and F are distinct
2. C and D are of the same age.
non-zero digits such that ABC + DEF =
3. E is the youngest.
1111, then what is the value of A + B + C
4. F is younger than D.
+D+E+F?
5. F is older than A.
(a) 28
How many statements given above are
(b) 29
required to determine the oldest person/
(c) 30
persons?
(d) 31
2.
(a) Only two
125 identical cubes are arranged in the
(b) Only three
form of a cubical block. How many cubes
are surrounded by other cubes from
(c) Only four
each side?
(d) All five
(a) 27
6.
Question and the Statements:
(c) 21
There are 5 members A, B, C, D, E in a
family.
If 7 Ꚛ 9 Ꚛ 10 = 8, 9 Ꚛ 11 Ꚛ 30 = 5, 11 Ꚛ 17
15?
(a) 6
Statement-2: D is the father of C.
(b) 8
Statement-3: E is D’s son.
(c) 13
Statement-4: A and C are sisters.
(d) 15
Which one of the following is correct
If ‘ZERO’ is written as ‘CHUR’, then how
in respect of the above Question and
is PLAYER’ written?
Statements?
(a) SOCAGT
(a) Statement-1, Statement- 2 and
Statement-3 are sufficient to answer
the Question.
(b) SODBGT
(c) SODBHT
(b) Statement-1,
Statement-3
and
Statement-4 are sufficient to answer
the Question.
(d) SODBHU
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Question: What is the relation of E to B?
Statement-1: A and B are a married
couple.
Ꚛ 21 = 13, what is the value of 23 Ꚛ 4 Ꚛ
4.
Consider the following including the
(b) 25
(d) 18
3.
Consider the following statements:
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DELHI UPSC SECRETS
7.
C-SAT MADE EASY
(c) All four statements together are
sufficient to answer the Question.
(a) 6
(d) All four statements are not sufficient
to answer the Question.
(c) 18
Choose the group which is different from
theothers:
(a) 17, 37, 47, 97
(b) 31, 41, 53, 67
(c) 71, 73, 79, 83
40 children are standing in a circle and
one of them (say child-1) has a ring. The
ring is passed clockwise. Child-1 passes
on to child-2, child-2 passes on to child-4,
child-4 passes on to child-7 and so on.
11. Consider the following :
I.
A + B means A is neither smaller nor
equal to B.
II.
A - B means A is not greater than B.
IV. A ÷ B means A is neither greater nor
equal to B.
V.
A + B means A is neither smaller
norgreater than B.
Statement:
P X Q, P – T, T ÷ R, R + S
Conclusion-1: Q + T
child-1) will the ring be in the hands of
Conclusion-2: S + Q
Which one of the following is correct in
(a) 14
respectof the above Statement and the
(b) 15
Conclusions?
(c) 16
(a) Only Conclusion-1
theStatement.
(d) 17
What is the middle term of the sequence
Z, Z, Y, Y, Y, X, X, X, X, W, W, W, W, W, ...,
A?
(a) H
follows
from
(b) Only Conclusion-2 follows from the
Statement.
(c) Both Conclusion-1 and Conclusion-2
follow from the Statement.
(d) Neither Conclusion-1 nor Conclusion-2
follows from the Statement.
(b) I
(c) J
12. Consider the sequence
(d) M
ABC _ _ ABC _ DABBCD _ ABCD
10. There are five persons P, Q, R, S and T
each one of whom has to be assigned one
task. Neither P nor Q can be assigned
Task-1. Task-2 must be assigned to
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(d) 24
After how many such changes (including
child-1 again?
9.
(b) 12
III. A x B means A is not smaller than B.
(d) 83, 89, 91, 97
8.
REASONING
that follows a certain pattern.
Which one of the following completes
the sequence?
either R or S. In how many ways can the
(a) DACB (b)
CDAB
assignment be done?
(c) DCCA
DDCA
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(d)
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DELHI UPSC SECRETS
C-SAT MADE EASY
13. Consider the following statements in
REASONING
15. letters
of
the
word
The
respect of five candidates P, Q, R, S
“INCOMPREHENSIBILITIES”
and T. Two statements are true and one
arranged alphabetically in reverse order.
statement is false.
How many positions of the letter/letters
True Statement : One of P and Q was
will remain unchanged?
selected for the job.
False Statement : At
least one of R and S
are
(a) None
(b) One
was selected for the job.
(c) Two
True Statement : At most two of R, S and T
(d) Three
were selected for the job.
Which of the following conclusions can
Answer Key
be drawn?
1.At least four were selected for the job.
1
D
9
A
2. S was selected for the job.
2
A
10
A
Select the correct answer using the code
3
A
11
B
givenbelow:
4
D
12
D
(a) 1 only
5
D
13
D
(b) 2 only
6
C
14
A
(c) Both 1 and 2
7
D
15
C
(d) Neither 1 nor 2
8
B
14. Let P, Q, R, S and T be five statements
such that:
I. If P is true, then both Q and S are true.
II. If R and S are true, then T is false.
Which of the following can be concluded?
1. If T is true, then at least one of P and R
must be false.
2. If Q is true, then P is true.
Select the correct answer using the code
given below:
(a) 1 only
Dinesh cleared CSE
Prelims 2023
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
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2022
REASONING
20. Consider
16. What is the value of X in the sequence
20, 10, 10, 15, 30, 75, X?
the
Question
two
Statements given below :
Question : Is Z brother of X?
Statement-1:
(a) 105
and
X is a brother
of Y and Y is a
(b) 120
(c) 150
Statement-2:
(d) 225
brother of Z.
X, Y and Z are
siblings.
17. Two friends X and Y start running and
Which one of the following is correct
they run together for 50 m in the same
in respect of the Question and the
direction and reach a point. X turns right
Statements?
and runs 60 m, while Y turns left and runs
(a) Statement-1 alone is sufficient to
answer the Question
40 m. Then X turns left and runs 50 m
and stops, while Y turns right and runs
50 m and then stops. How far are the two
friends from each other now?
(c) Both Statement-1 and Statement-2
are sufficient to answer the Question
(a) 100 m
(b) 90 m
(c) 60 m
(d) Both Statement-1 and Statement-2 are
not sufficient to answer the Question
(d) 50 m
21. In the series AABABCABCDABCDE...,
18. If the order of the letters in the English
which letter appears at the 100th place?
alphabet is reversed and each letter
(a) G
represents the letter whose position it
(b) H
occupies, then which one of the following
(c) I
represents ‘LUCKNOW?
(d) J
(a) OGXPMLD
22. Three persons A, B and C are standing
(b) OGXQMLE
in a queue not necessarily in the same
(c) OFXPMLE
order. There are 4 persons between A
(d) OFXPMLD
and B, and 7 persons between B and C.
19. The letters A, B, C, D and E are arranged
in such a way that there are exactly two
letters between A and E. How many such
(a) 12
(b)
18
(c) 24
(d)
36
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If there are 11 persons ahead of C and
13 behind A, what could be the minimum
number of persons in the queue?
(a) 22
arrangements are possible?
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(b) Statement-2 alone is sufficient to
answer the Question
91
(b)
32
(c) 28 (d)
38
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DELHI UPSC SECRETS
23. Consider
the
Question
C-SAT MADE EASY
and
two
Statements given below in respect of
three cities P, Q and R in a State :
(c) Both Conclusion-III and Conclusion-IV
(d) None of the Conclusions follows
25. Three Statements followed by three
Question : How far is city P from city Q?
Conclusions are given below. You have
Statement-1 City Q is 18 km fromcity R.
to take the Statements to be true even
Statement-2: City P is 43 km from city R.
if they seem to be at variance from the
Which one of the following is correct
in respect of the Question and the
Statements?
(a) Statement-1 alone is sufficient to
answer the Question
(b) Statement-2 alone is sufficient to
answer the Question
commonly known facts. Read all the
Conclusions and then decide which of
the given Conclusions logically follows/
follow from the Statements, disregarding
the commonly known facts :
Statement-1 : Some doctors are teachers.
Statement-2 : All teachers are engineers.
(c) Both Statement-1 and Statement-2
are sufficient to Question answer the
Statement-3 : All engineers are scientists.
(d) Both Statement-1 and Statement-2 are
not sufficient to answer the Question
Conclusion-II : All engineers are doctors.
24. Two
Statements
followed
by
four
Conclusions are given below. You have
to take the Statements to be true even
Conclusion-1: Some scientists are doctors.
Conclusion-III : Some engineers are doctors.
Which one of the following is correct?
(a) Only Conclusion-I
if they seem to be at variance from the
(b) Only Conclusion-II
commonly known facts. Read all the
(c) Both Conclusion-I and Conclusion-III
Conclusions and then decide which of
(d) Both Conclusion-I and Conclusion-II
the given Conclusions logically follows/
follow from the Statements, disregarding
the commonly known facts::
26. Eight students A, B, C, D, E, F, G and H sit
around a circular table, equidistant from
each other, facing the centre of the table,
Statement-1 : All pens are books.
not necessarily in the same order. B and
Statement-2 : No chair is a pen.
D sit neither adjacent to C nor opposite
Conclusion-I : All chairs are books.
to C. A sits in between E and D, and F sits
Conclusion-II : Some chairs are pens.
in between B and H. Which one of the
following is definitely correct?
Conclusion-III : All books are chairs.
(a) B sits in between A and G
Conclusion-IV : No chair is a book.
(b) C sits opposite to G
Which one of the following is correct?
(c) E sits opposite to F
(a) Only Conclusion-I
(d) None of the above
(b) Only Conclusion-II
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REASONING
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REASONING
27. Six persons A, B, C, D, E and F are sitting
28. Six lectures A, B, C, D, E and F, each
equidistant from each other around a
of one hour duration, are scheduled
circular table (facing the centre of the
between 8:00 a.m. and 2:00 p.m.
table).
Consider the Question and Statements
Consider
the
Question
and
two
Statements given below:
given below :
Question:
Question :
Who is sitting on the immediate left of A?
Statement-1: B is sitting opposite to C
and D is sitting opposite
to E.
Statement-2: F is sitting on the immediate left of B.
Which lecture is in the
third period?
Statement-1: Lecture F is preceded by
A and followed by C.
Statement-2: There is no lecture
afterlecture B.
Which one of the following is correct
in respect of the Question and the
Which one of the following is correct
Statements?
in respect of the Question and the
Statements?
(a) Statement-1 alone is sufficient to
answer the Question
(a) Statement-1 alone is sufficient to
answer the Question
(b) Statement-2 alone is
toanswer the Question
(b) Statement-2 alone is sufficient to
answer the Question
(c) Both Statement-1 and Statement-2
are sufficient to answer the Question
(c) Both Statement-1 and Statement-2
are sufficient to Question answer the
(d) Both Statement-1 and Statement-2 are
not sufficient to answer the Question
(d) Both Statement-1 and Statement-2 are
not sufficient to answer the Question
29. What is the value of X in the sequence 2,
12, 36, 80, 150, X?
(a) 248
Answer Key
16
D
17
A
18
D
(b) 252
19
C
20
D
21
C
(c) 258
22
A
23
D
24
D
25
C
26
D
27
D
28
D
29
B
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sufficient
(d) 262
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DELHI UPSC SECRETS
C-SAT MADE EASY
2021
30. A Statement followed by Conclusion-I
and Conclusion-II is given below. You
have to take the Statement to be true
REASONING
Conclusion-I: Certainly some almirahs
are tables.
Conclusion-II: Some cats may not be
chairs.
even if it seems to be at variance from
Which one of the following is correct?
the commonly known facts. Read all
(a) Only Conclusion-I
Conclusions and then decide which of
(b) Only Conclusion-II
the given Conclusion(s) logically follows/
follow from the Statement, disregarding
(c) Both Conclusion-I and Conclusion-II
the commonly known facts.
(d) Neither Conclusion-I nor Conclusion-II
Statement:
Some radios are mobiles.
All mobiles are computers.
Some computers are
watches.
Conclusion-I: Certainly some radios
watches.
Conclusion-II: Certainly some mobiles
are watches.
32. Images of consonants of the English
alphabet (Capitals) are observed in a
mirror. What is the number of images of
these which do not look like their original
shapes?
(a) 13
(b) 14
Which one of the following is correct?
(c) 15
(a) Only Conclusion-I
(d) 16
33. A woman runs 12 km towards her North,
(b) Only Conclusion-II
then 6 km towards her South and then 8
(c) Both Conclusion-I and Conclusion-II
(d) Neither Conclusion-I nor Conclusion-II
31. A Statement followed by Conclusion-I
and, Conclusion-II is given below. You
have to take the Statement to be true
km towards her East. In which direction
is she from her starting point?
(a) An angle less than 45° South of East
(b) An angle less than 45° North of East
even if it seems to be at variance from
(c) An angle more than 45° South of East
the commonly known facts. Read all
(d) An angle more than 45° North of East
Conclusions and then decide which of
34. Seven books P, Q, R, S, T, U and V are
the given Conclusion(s) logically follows/
follow from the Statement, disregarding
the commonly known facts.
Statement:
placed side by side. R, Q and T have blue
covers and other books have red covers.
Only S and U are new books and the
Some cats are almirahs.
Some almirahs are chairs.
All chairs are tables.
rest are old. P, R and S are law reports;
the rest are Gazetteers. Books of Old
Gazetteers with blue covers are
(a) Q and R
(b) Q and U
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(c) Q and T
Question ?
(d) T and U
(a) Statement-1 alone is not sufficient to
answer the Question
35. Replace the incorrect term by the correct
term in the given sequence
3, 2, 7, 4, 13, 10, 21, 18, 31, 28, 43, 40
where odd terms and even terms follow
the same pattern.
(a) 0
(b) Statement-2 alone is not sufficient to
answer the Question
(c) Either
Statement-1
alone
or
Statement-2 alone is sufficient to
answer the Question
(b) 1
(d) Both Statement-1 and Statement-2
are required to answer the Question
(c) 3
38. Consider two Statements and a Question:
Statement-1:
(d) 6
36. Following is a matrix of certain entries.
The entries follow a certain trend rowwise. Choose the missing entry (?)
accordingly.
7B
3C
10A
10A
9B
13C
3C
6A
?
Each of A and D is heavier than each of B, E and
F, but none of them is the
heaviest.
Statement-2 : A is heavier than D, but is
lighter than C.
Question :
Who is the heaviest
among A, B, C, D and E?
Which one of the following is correct
(a) 9B
in respect of the Statements and the
(b) 3A
Question?
(c) 3B
(a) Statement-1 alone is sufficient to
answer the Question
(d) 3C
37. Consider two Statements and a Question:
Statement-1: Priya is 4 ranks below
Seema and is 31st from
the bottom.
Statement-2 : Ena is 2 ranks above
Seema and is 37th from
the bottom.
Question :
What is Seema’s rank
from the top in the class
of 40 students?
Which one of the following is correct
in respect of the Statements and the
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REASONING
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(b) Statement-2 alone is sufficient to
answer the Question
(c) Both Statement-1 and Statement-2
arerequired to answer the Question
(d) Neither Statement-1 alone nor
Statement-2 alone is sufficient to
answer the Question
39. In the English alphabet, the first 4 letters
are written in opposite order; and the
next 4 letters are written in opposite
order and so on; and at the end Y and Z
are interchanged. Which will be the fourth
letter to the right of the 13th letter?
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DELHI UPSC SECRETS
C-SAT MADE EASY
(a) N
Conclusion-2:
No green is black.
(b) T
Conclusion-3:
All greens are blacks.
(c) H
Conclusion-4:
All blacks are greens.
(d) I
Which one of the following is correct?
40. Consider two Statements and a Question:
Statement-1: The last day of the month
is a Wednesday.
Statement-2 : The third Saturday of
the month was the seventeenth day.
Question :
What day is the fourteenth of the given month?
Which one of the following is correct
in respect of the Statements and the
Question?
(a) Statement-1 alone is sufficient to
answer the Question
(b) Statement-2 alone is sufficient to
answer the Question
(c) Both Statement-1 and Statement-2
are required to answer the Question
(d) Neither Statement-1 alone nor
Statement-2 alone is sufficient to nor
answer the Question
41. Consider
two
Statements
and
four
Conclusions given below. You have to
take the Statements to be true even
if they seem to be at variance from
the commonly known facts. Read all
(a) Conclusion-1 and Conclusion-2 only
(b) Conclusion-2 and Conclusion-3 only
(c) Conclusion-3 and Conclusion-4 only
(d) Neither Conclusion 1 nor 2 nor 3 nor 4
42. What is the value of ‘X’ in the sequence
2, 7, 22, 67, 202, X, 1822 ?
(a) 603
(b) 605
(c) 607
(d) 608
43. In a code language ‘MATHEMATICS’
is written as ‘LBSIDNZUHDR’. How
is ‘CHEMISTRY’ written in that code
language?
(a) DIDLHRSSX
(b) BIDNHTSSX
(c) BIDLHTSSX
(d) DGFLIRUQZ
44. At which one of the following times, do
the hour hand and the minute hand of the
clock make an angle of 180° with each
other?
Conclusions and then decide which of
(a) At 7:00 hours
the given Conclusion(s) logically follows/
(b) Between 7:00 hours and 7:05 hours
follow from the Statements, disregarding
(c) At 7:05 hours
the commonly known facts.
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REASONING
(d) Between 7:05 hours and 7:10 hours
Statement-1:
Some greens are blues.
Statement-2:
Some blues are blacks.
Conclusion-1:
Some greens are blacks.
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45. In the series _b_a_ba_b_abab_aab; fill
in the six blanks (_) using one of the
following given four choices such that
the series follows a specific order.
REASONING
(c) S1 and S2 together are sufficient to
answer the Question, but neither S1
alone nor S2 alone is sufficient to
answer the question.
(d) S1 and S2 together are not sufficient
to answer the Question.
(a) bababa
(b) baabba
47. Two Statements S1 and S2 are given
(c) bbaabb
below followed by a Question:
(d) ababab
S1 : n is a prime number.
S2 : n leaves a remainder of 1 when
divided by 4.
Answer Key
Question:
30
D
35
A
40
B
31
C
36
C
41
D
32
B
37
C
42
C
33
B
38
C/D
43
B
respect of above Statements and the
34
C
39
B
44
D
Question?
45
D
If n is a unique natural number between
10 and 20, then what is n?
Which one of the following is correct in
(a) S1 alone is sufficient to answer the
Question.
(b) S2 alone is sufficient to answer the
Question.
2020
46. Two Statements S1 and S2 are given
below with regard to four members P, Q,
R and S followed by a Questions:
S1 : R is greater than P as well as Q.
(d) S1 and S2 together are not sufficient
to answer the Question.
S2 : S is not the largest one.
48. Two Statements S1 and S2 are given
Question:
Among four numbers P, Q, R and S, which
one is the largest?
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(c) S1 and S2 together are sufficient to
answer the Question, but neither S1
alone nor S2 alone is sufficient to
answer the Question.
below with regard to two numbers
followed by a Question:
Which one of the following is correct in
S1 : Their product is 21.
respect of the above Statements and the
S2 : Their sum is 10.
Question?
Question:
(a) S1 alone is sufficient to answer the
Question.
What are the two numbers?
(b) S2 alone is sufficient to answer the
Question.
respect of the above Statements and the
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Which one of the following is correct in
Question?
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DELHI UPSC SECRETS
C-SAT MADE EASY
(a) S1 alone is sufficient to answer the
Question.
Conclusion-II:
(b) S2 alone is sufficient to answer the
Question.
Which of the above Conclusions logically
(c) S1 and S2 together are sufficient to
answer the Question, but neither S1
nor S2 alone is sufficient to answer
the Question.
Statements,
(d) S1 and S2 together are not sufficient
to answer the Question.
49. Two statements are given followed by
two Conclusions:
follows/follow
from
the
two
disregarding
given
commonly
known facts?
(a) Only Conclusion-I
(b) Only Conclusion-II
(c) Neither Conclusion-I nor Conclusion-II
(d) Both Conclusion-I and Conclusion-II
has some missing letters:
abab_b_bcb_dcdcded_d
All numbers are divisible by 2.
The missing letters which complete the
All numbers are divisible by 3.
arrangement are
Conclusion-I:
(a) a, b, c, d
All numbers are divisible by 6.
(b) a, b, d, e
Conclusion-II:
(c) a, c, c, e
All numbers are divisible by 4.
Which of the above Conclusions logically
follows/follow
Some dogs are not black.
51. Consider the following arrangement that
Statements:
from
the
two
given
Statements?
(d) b, c, d, e
52. Let
A3BC
and
DE2F
be
four-digit
numbers where each letter represents a
different digit greater than 3. If the sum
(a) Only Conclusion-I
of the numbers is 15902, then what is the
(b) Only Conclusion-II
difference between the values of A and
(c) Neither Conclusion-I nor Conclusion-II
D?
(d) Both Conclusion-I and Conclusion-II
(a) 1
50. Two Statements are given followed by
(b) 2
two Conclusions:
(c) 3
Conclusions:
(d) 4
Statements:
53. Two statements S1 and S2 are given
All cats are dogs.
below followed by a Question:
All cats are black.
S1 : There are not more than two figures
on any page of a 51-page book.
Conclusion-I:
S2 : There is at least one figure on every
page.
All dogs are black.
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REASONING
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Question:
REASONING
56. The letters from A to Z are numbered
Are there more than 100 figures in that
from 1 to 26 respectively. If GHI = 1578
book?
and DEF = 912, then what is ABC equal
to?
Which one of the following is correct in
respect of the above Statements and the
(a) 492
Question?
(b) 468
(a) Both S1 and S2 are sufficient to
answer the Question, but neither S1
alone nor S2 alone is sufficient to
answer the Question.
(c) 262
(d) 246
57. What is the missing term @ in the
(b) S1 alone is sufficient to answer the
Question.
following?
(c) S1 and S2 together are not sufficient
to answer the Question.
(a) NPJL
(d) S2 alone is sufficient to answer the
Question.
(c) NPIL
ACPQ : BESU : MNGI : @
(b) NOJM
(d) NPJM
54. A family of two generations consisting
of six members P, Q, R, S, T and U has
three males and three females. There are
two married couples and two unmarried
Answer Key
siblings. U is P’s daughter and Q is
46
C
50
C
54
B
R’s mother-in-law. T is an unmarried
47
D
51
C
55
D
male and S is a male. Which one of the
48
C
52
C
56
D
49
A
53
C
57
D
following is correct?
(a) R is U’s husband
(b) R is S’s wife
2019
(c) S is unmarried
58. A solid cube is painted yellow, blue and
(d) None of the above
black such that opposite faces are of
55. How many different 5-letter words (with
or without meaning) can be constructed
The cube is then cut into 36 cubes of two
using all the letters of the word ‘DELHI’
different sizes such that 32 cubes are
so that each word has to start with D and
small and the other four cubes are big.
end with I?
None of the faces of the bigger cubes is
(a) 24
painted blue. How many cubes have only
one face painted?
(b) 18
(a) 4
(c) 12
(b) 6
(d) 6
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same colour.
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DELHI UPSC SECRETS
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(c) 8
(d) 10
59. Consider the following Statements and
Conclusions:
Statements:
1. Some rats are cats.
REASONING
(c) Statement 1 is not sufficient, but
statement 1 along with statement 2 is
sufficient
(d) Statement 3 is not sufficient, but
statement 3 along with statement 2 is
sufficient
61. P, Q and R are three towns. The distance
between P and Q is 60 km, whereas the
2. Some cats are dogs.
distance between P and R is 80 km. Q is
3. No dog is a cow.
in the West of P and R is in the South of
Conclusions:
P. What is the distance between Q and R?
I.
No cow is a cat.
(a) 140 km
II.
No dog is a rat.
(b) 130 km
III. Some cats are rats.
(c) 110 km
Which of the above conclusions is/are
drawn from the statements?
(d) 100 km
62. In a group of 15 people; 7 can read
(a) I, II and III
French, 8 can read English while 3 of
(b) Only I and II
them can read neither of these two
(c) Only III
languages. The number of people who
can read exactly one language is
(d) Only II and III
60. A five-storeyed building with floors from
(a) 10
I to V is painted using four different
(b) 9
colours and only one colour is used to
(c) 5
paint a floor.
(d) 4
Consider the following statements: -
63. A printer numbers the pages of a book
1. The middle three floors are painted in
different colours.
starting with 1 and uses 3089 digits in all.
2. The second (II) and the fourth (IV)
floors are painted in different colours.
(a) 1040
3. The first (I) and the fifth (V) floors are
painted red.
(c) 1049
To ensure that any two consecutive
How many pages does the book have?
(b) 1048
(d) 1050
floors have different colours
(a) Only statement 2 is sufficient
(b) Only statement 3 is sufficient
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64. Consider the following sequence that
follows some arrangement :
c_accaa_aa_bc_b
REASONING
(d) Both S1 and S2 are necessary to
answer the question
67. If every alternative letter of the English
The letters that appear in the gaps are
alphabet from B onwards (including B) is
(a) abba
written in lower case (small letters) and
the remaining letters are capitalized,
(b) cbbb
then how is the first month of the second
(c) bbbb
half of the year written?
(d) cccc
(a) JuLY
65. ‘A’ started from his house and walked
(b) jULy
20m towards East, where his friend B
(c) jUly
joined him. They together walked 10 m in
the same direction. Then ‘A’ turned left
while friend ‘B’ turned right and travelled
68. In the sequence 1, 5, 7, 3, 5, 7, 4, 3, 5,
2m and 8m respectively. Again ‘B’ turned
7, how many such 5s are there which are
left to travel 4m followed by 5m to his
not immediately preceded by 3 but are
right to reach his office. ‘A’ turned right
immediately followed by 7?
and travelled 12m to reach his office.
(a) 1
What is the shortest distance between
the two offices?
(b) 2
(c) 3
(a) 15m
(d) None
(b) 17m
69. A joint family consists of seven members
(c) 19m
A, B, C, D, E, F and G with three females. G
(d) 20m
is a widow and sister in-law of D’s father
66. Consider two statements S1 and S2
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(d) jUlY
F. B and D are siblings and A is daughter
followed by a question:
of B. C is cousin of B. Who is E?
S1: p and q both are prime numbers.
1. Wife of F
S2: p + q is an odd integer.
2. Grandmother of A
Question: Is pq an odd integer?
3. Aunt of C
Which one of the following is correct?
Select the correct answer using the code
(a) S1 alone is sufficient to answer the
question
given below:
(b) S2 alone is sufficient to answer the
question
(b) 2 and 3 only
(c) Both S1 and S2 taken together are
not sufficient to answer the question
(d) 1, 2 and 3
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(a) 1 and 2 only
(c) 1 and 3 only
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DELHI UPSC SECRETS
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REASONING
70. Each face of a cube can be painted in
2018
black or white colours. In how many
different ways can the cube be painted?
72. Consider the following three dimensional
figure:
(a) 9
(b) 10
(c) 11
(d) 12
71. If $ means ‘divided by’; @ means
‘multiplied by’; # means ‘minus’, then the
value of 10#5@1$5 is
(a) 0
(b) 1
(c) 2
(d) 9
Answer Key
How many triangles does the above
58
C
63
C
68
A
59
C
64
B
69
D
60
B
65
B
70
D
61
D
66
D
71
D
62
B
67
D
figure have?
(a) 18
(b) 20
(c) 22
(d) 24
73. Consider
the
following
sum:
*+1*+2*+*3+*1= 21*
In the above sum, * stands for
(a) 4 (b) 5
(c) 6 (d) 8
74. Rotated positions of a single solid are
shown below. The various faces of the
solid are marked with different symbols
like dots, cross and line. Answer the
three items that follow the given figures.
Aditya LIET & SCOPE
BATCH STUDENT
(I)
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(II)
(III)
(IV)
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C-SAT MADE EASY
What is the symbol on the face opposite
to that containing a single dot?
77. Directions for the following 2 items
Read following information and
answer the two items that follow.
(a) Four dots
The plan of an office block for six
officers A, B, C, D, E and F is as
follows: both B and C occupy officers
to the right of the corridor (as
one enters the office block) and A
occupies on the left of the corridor.
E and F occupy officers in opposite
sides the corridor but their offices do
not face each. The offices of C and
D face each other. E does not have
a corner office. F’s office is further
down the corridor than A’s but on the
same side.
(b) Three dots
(c) Two dots
(d) Cross
ii) What is the symbol on the face opposite
to that containing two dots?
(a) Single dot
(b) Three dots
(c) Four dots
(d) Line
iii) What is the symbol on the face opposite
to that containing the cross?
(a) Single dot
REASONING
i)
If E sits in his offices and faces the
corridor, whose office is to his left?
(b) Two dot
(a) A
(c) Line
(b) B
(d) Four dots
(c) C
75. If LSJXVC is the code for MUMBAI the
code for DELHI is
(d) D
ii)
(a) CCIDD
Who is/ are F’s immediate neighbour/
neighbours?
(b) CDKGH
(a) A only
(c) CCJFG
(b) A and D
(d) CCIFE
(c) C only
76. If RAMON is written as 12345 and
DINESH as 675849 then HAMAM will be
(d) B and C
78. A solid cube of 3 cm side, painted on all
written as
its faces is cut up into small cubes of 1
(a) 92233
cm side. How many of the small cubes
will have exactly two painted faces?
(b) 92323
(a) 12
(c) 93322
(b) 8
(d) 93232
(c) 6
(d) 4
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79. If pen< book and book> cap then which
REASONING
iii) C is Studying in
one of the following is always true?
(a) Science college
(a) Pen > cap
(b) Rajasthan
(b) Pen < cap
(c) Gujarat
(c) Pencil = cap
(d) City Q
(d) Pencil > cap
iv) Which one of the following statements
is correct?
80. Direction for the following 6 Items:
Read the information given below and
(a) D is not studying in city S
answer the six items that follow.
(b) A is studying in Science college
A B C and D are students they are
(c) A is studying in Kerala
studying in four different cities, viz, P Q
(d) Engineering college is located in
Gujarat.
R and S (not necessarily in that order).
They are studying in Science college,
Arts college, Commerce and Engineering
which are situated in four different states
Which one of the following statements
is correct regarding Engineering college?
viz., Gujrat, Rajasthan, Assam and Kerala
(a) C is studying there
(not necessarily in that order) further, it
(b) B is studying there
college (not necessarily in that order)
is given that-
(c) It is located in Gujarat
(a) D is studying in Assam
(b) Arts college is located in city S which
is in Rajasthan
(c) A is studying in commerce college
(d) D is studying there
vi) Which one off the following statements
is the correct?
(a) Engineering college is located in
Assam.
(d) B is studying in city Q
(e) Science college is located in Kerala
i)
v)
(b) City Q is situated in Assam
A is studying in
(c) C is studying in Kerala
(a) Rajasthan
(d) B is studying in Gujarat.
(b) Gujarat
(c) City Q
(d) Kerala
ii)
Science college is located in
(a) City Q
(b) City S
(c) City R
(d) City P
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DELHI UPSC SECRETS
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81. Consider the figures given below:
REASONING
83. Lakshmi, her brother, her daughter and
her son are badminton players. A game
of doubles is about to begin:
1. Lakshmi’s brother is directly across the
net from her daughter.
2. Her son is diagonally across the net
from the worst player’s sibling
3. The best player and the worst player
are on the same side of the net.
?
Who is the best player?
(a) Her brother
To fit the question mark the correct
(b) Her daughter
answer is
(c) Her son
(a)
(d) Lakshmi
(b)
(c)
(d)
Answer Key
82. Consider the following figures
72
(i)
(iv)
(ii)
(v)
73
(vi)
regular directions. Following the same
sequence which of the figures given
below will appear at VII stage?
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(c)
(d)
Delhi Secrets
74
B
80
77
i)
C
ii)
A
B
ii)
A
iii) B
iv)
A
v)
D
vi)
A
81
A
B
ii) C
78
A
82
B
79
B
83
A
iii) C
75
105
D
i)
are shown to change their position in
(b)
76
(iii)
In the figures I to IV above, some parts
(a)
B
i)
A
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DELHI UPSC SECRETS
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2017
84. Four
tests-Physics,
REASONING
(a) Q is the son of P
Chemistry,
(b) Q is the wife of P
Mathematics and Biology are to be
(c) Q is the father of P
conducted on four consecutive days,
(d) None of the above
not necessarily in the same order. The
Physics test is held before the test which
is conducted after Biology. Chemistry
is conducted exactly after two tests are
held. Which is the last test held?
87. In a group of six women, there are four
tennis
in
Sociology,
four
one
postgraduates
postgraduate
in
Commerce and three bank employees.
Vimala
(a) Physics
players,
and
Kamla
are
the
bank
employees while Amala and Komala
(b) Biology
are unemployed. Komala and Nirmala
(c) Mathematics
are among the tennis players. Amala,
Kamla,
(d) Chemistry
Komala
and
Nirmala
are
postgraduates in Sociology of whom two
85. Consider the following:
are bank employees. If Shyamala is a
Statement: Good voice is a natural gift
postgraduate in Commerce. Who among
but one has to keep practicing to improve
the following is both a tennis player and
and excel well in the field of music.
a bank employee?
Conclusions:
(a) Amala
I.
II.
Natural gifts need nurturing and care.
Even though one’s voice is not good,
one can keep practicing.
Which one of the following is correct
in respect of the above statement and
(b) Komala
(c) Nirmala
(d) Shyamala
88. Consider the given statement and the
conclusions?
two conclusions that follow:
(a) Only conclusion I follows from the
statement.
Statement : Morning walk is good for
(b) Only conclusion II follows from the
statement,
Conclusions:
(c) Either conclusion I or conclusion II
follows from the statement.
(d) Neither conclusion I nor conclusion II
follows from the statement.
86. Consider the following:
health.
1. All healthy people go for morning
walk.
2. Morning walk is essential
maintaining good health.
for
What is / are the valid conclusions /
conclusion?
A+B means A is the son of B.
(a) 1 only
A – B means A is the wife of B.
(b) 2 only
What does the expression P+R – Q mean?
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DELHI UPSC SECRETS
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(c) Both 1 and 2
REASONING
91. The outer surface of a 4 cm × 4 cm × 4 cm
cube is painted completely in red. It is
(d) Neither 1 nor 2
sliced parallel to the faces to yield sixty-
89. Examine the following statements:
four 1 cm × 1 cm x 1 cm small cubes. How
1. All colours are pleasant.
many small cubes do not have painted
2. Some colours are pleasant.
faces?
3. No colour is pleasant.
(a) 8
4. Some colours are not pleasant.
(b) 16
Given that statement 4 is true, what can
(c) 24
be definitely concluded?
(d) 36
(a) 1 and 2 are true
92. Consider the following:
(b) 3 is true
(c) 2 is false
A, B, C, D, E, F, G and H are standing
in a row facing North.
(d) 1 is false
B is not neighbour of G.
among members of a family of six
F is to the immediate right of G and
neighbour of E
persons A, B, C, D, E and F:
G is not at the extreme end.
1. The number of males equals that of
females
A is sixth to the left of E.
90. Consider the following relationships
2. A and E are sons of F
H is sixth to the right of C.
Which one of the following is correct in
3. D is the mother of two, one boy and
one girl
4. B is the son of A
5. There is only one married couple in
the family at present.
Which one of the following inferences
can be drawn from the above?
respect of the above?
(a) C is to the immediate left of A
(b) D is immediate neighbour of B and F
(c) G is to the immediate right of D
(d) A and E are at the extreme ends
93. In a certain code, ‘256’ means ‘red colour
chalk’, ‘589’ means ‘green colour flower
(a) A, B and C are all females
and 254’ means white colour chalk’. The
(b) A is the husband of D
digit in the code that indicates white’ is
(c) E and F are children of D
(a) 2
(d) D is the daughter of F
(b) 4
(c) 5
(d) 8
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DELHI UPSC SECRETS
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REASONING
ii)
Items:
To which city does the Lecturer specialized in Economics belong?
Consider the given information and
(a) Hyderabad
answer the three items that follow.
(b) Mumbai
A, B, C, D, E, F and G are Lecturers
from different cities-Hyderabad,
Delhi, Shillong, Kanpur, Chennai,
Mumbai and Srinagar (not necessarily
in the same order) who participated
in a conference. Each one of them
is specialized in a different subject,
viz., Economics, Commerce, History,
Sociology, Geography, Mathematics
and Statistics (not necessarily in the
same order).
(c) Neither Hyderabad nor Mumbai
94. Directions for the following 3 (three)
(d) Cannot be determined as data
are inadequate
iii) Who of the following belongs to Hyderabad?
(a) B
(b) E
(c) Neither B nor E
(d) Cannot be determined as data
are inadequate
Further.
1. Lecturer from Kanpur is specializedin
Geography
95. In a school, there are five teachers A,
B, C, D and E. A and B teach Hindi and
2. Lecturer D is from Shillong
English. C and B teach English and
3. Lecturer C from Delhi is specializedin
Sociology
Geography. D and A teach Mathematics
4. Lecturer B is specialized in neither
History nor Mathematics
French. Who teaches maximum number
5. Lecturer A who is specialized in
Economics does not belong to
Hyderabad
(a) A
and Hindi. E and B teach History and
of subjects?
(b) B
(c) D
6. Lecturer F who is specialized in
Commerce belongs to Srinagar.
7. Lecturer G who is specialized in
Statistics belongs to Chennai.
i)
Who is specialized in Geography?
(a) B
(b) D
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(d) E
Answer Key
84
C
88
D
92
C
85
D
89
D
93
B
(c) E
86
(d) Cannot be determined as data
are inadequate
87
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C
C
90
91
B
A
94
95
i)
A
ii)
B
iii)
B
B
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DELHI UPSC SECRETS
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2016
REASONING
98. A person X was driving in a place where
96. A ate grapes and pineapple; B ate grapes
and oranges; C ate oranges, pineapple
and apple; D ate grapes, apple and
pineapple. After taking fruits, B and C fell
sick. In the light of the above facts, it can
be said that the cause of sickness was :
all roads ran either north-south or eastwest, forming a grid. Roads are at a
distance of 1 km from each other in a
parallel. He started at the intersection
of two roads, drove 3 km north, 3. km
west and 4 km south. Which further route
could bring him back to his starting point,
(a) Apple
if the same route is not repeated ?
(b) Pineapple
(a) 3 km east, then 2 km south
(c) Grapes
(b) 3 km east, then 1 km north
(d) Oranges
(c) 1 km north, then 2 km west
(d) 3 km south, then 1 km north
97. Consider the following statements :
1. The rate of population growth is
increasing in the country
99. There
were
50
faculty
members
comprising 30 males and the rest
2. The death rate is declining faster in
the country compared to birth rate
females. No male faculty member knew
3. The birth rate is declining faster in the
country compared to death rate
members did. The Head of the institution
4. Rural-urban migration is taking place
regularly in the country
party by draw of lots. At the party it was
Which one of the following conclusions
may be true in the light of the above
facts?
(a) The rate of population growth
is increasing due to rural-urban
migration
(b) The rate of population growth is
increasing due to decline in death
rate only
(c) The rate of population growth is
increasing due to increase in birth
rate only
(d) The rate of population growth is
increasing due to faster decline in
death rate than in birth rate 3.
music, but many of the female faculty
invited six faculty members to a tea
discovered that no member knew music.
The conclusion is that:
(a) The party comprised male faculty
members only
(b) The party comprised only those
female faculty members who could
not give renderings in music
(c) The party comprised both male and
female faculty members
(d) Nothing can be said about the gender
composition of the party
100. Five people A, B, C, D and E are seated
about a round table. Every chair is
spaced equidistant from adjacent chairs.
(i) C is seated next to A
(ii) A is seated two seats from D
(iii) B is not seated next to A
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On the basis of above information, which
(c) 3 and 4
of the following must be true ?
(d) 4 and 3
1. D is seated next to B
103. Directions for the following 5 (five) items:
2. E is seated next to A
Consider the following information and
3. D and C are separated by two seats
answer the five items that follow :
Select the correct answer using the code
given below:
(a) 1 only
(b) 1 and 2 only
(c) 3 only
(d) Neither 1 nor 2 nor 3
101. There
college
are
five
hobby
…photography,
clubs
in
a
yachting,
chess, electronics and gardening. The
There are five persons in a group —
P, Q, R, S and T. The group has one
doctor, one lawyer and one artist. P
and S are unmarried students. T is
a man married to one of the group
members. Q is the brother of P and
is neither doctor nor artist. R is not
doctor.
i) Who is the doctor ?
(a) T
gardening group meets every second
(b) P
day, the electronics group meets every
(c) Q
third day, the chess group meets every
(d) R
fourth day, the yachting group meets
every fifth day and the photography
ii) Who is the artist ?
group meets every sixth day. How many
(a) P
times do all the five groups meet on the
(b) Q
same day within 180 days ?
(c) R
(a) 5
(d) T
(b) 18
iii) Who is the spouse of R ?
(c) 10
(a) P
(d) 3
(b) T
102. There are some nectar-filled flowers on
a tree and some bees are hovering on it.
If one bee lands on each flower, one bee
(c) Q
(d) S
will be left out. If two bees land on each
iv) Who is the lawyer ?
flower, one flower will be left out. The
(a) P
number of flowers and bees respectively
(b) Q
are :
(c) R
(a) 2 and 4
(d) S
(b) 3 and 2
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REASONING
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DELHI UPSC SECRETS
v)
C-SAT MADE EASY
Who of the following is definitely a
man?
(a) P
REASONING
(a) A is older than B
(b) B and D are of the same age
(c) D is older than C
(b) S
(d) A is older than C
(c) Q
106. Direction for the following 3 (three)
(d) None of the above
items:Consider the given information
104. Four friends A,B,C and D need to cross a
and answer the three items that follow.
Six boxes A, B, C, D, E and F have been
painted with six different colours viz.,
violet, indigo, blue, green, yellow and
orange and arranged from left to
right (not necessarily either kept or
painted with the colours in the same
order). Each box contains a ball of
any one of the following six games:
cricket, hockey, tennis, golf, football
and volleyball (not necessarily in the
same order). The golf ball is in violet
box and is not in the box D. The box
A which contains tennis ball is orange
in colour and is at the extreme right.
The hockey ball is neither in box D nor
in box E. The box C having cricket ball
is painted green. The hockey ball is
neither in the box painted blue nor in
the box painted yellow. The box C is
fifth from right and next to box B. The
box B contains volleyball. The box
containing the hockey ball is between
the boxes containing golf ball and
volleyball.
bridge. A maximum of two persons can
cross it at a time. It is night and they just
have one lamp. Persons that cross the
bridge must carry the lamp to find the
way. A pair must walk together at the
speed of slower person. After crossing
the bridge, the person having faster
speed in the pair will return with the lamp
each time to accompany another person
in the group. Finally, the lamp has to be
returned at the original place and the
person who returns the lamp has to cross
the bridge without lamp. The time taken
by them is as follows: A: 1 minute, B: 2
minutes, C: 7 minutes and D:10 minutes.
What is the total minimum time required
by all the friends to cross the bridge?
(a) 23 minutes
(b) 22 minutes
(c) 21 minutes
(d) 20 minutes
i)
105. Consider the following statements :
1. Either A and B are of the same age or
A is older than B
Which one of the following boxes contains the golf ball ?
(a) F
2. Either C and D are of the same age
or D is older than C
(b) E
3. B is older than C
(d) None of the above
(c) D
Which of the following conclusions can
be drawn from the above statements ?
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Which of the following statements is/
are correct?
REASONING
109. A person climbs a hill in a straight path
from point ‘O’ on the ground in the
direction of north-east and reaches a
(a) D is painted yellow
point ‘A’ after travelling a distance of 5
(b) F is painted indigo
km. Then, from the point ‘A’ he moves to
(c) B is painted blue
point ‘B’ in the direction of north-west.
(d) All of the above
Let the distance AB be 12 km. Now, how
iii) The football is in the box of which
colour?
far is the person away from the starting
point ‘O’?
(a) Yellow
(a) 7 km
(b) Indigo
(b) 13 km
(c) Cannot be determined as data
are inadequate
(c) 17 km
(d) Blue
(d) 11 km
110. A person is standing on the first step
107. A piece of tin is in the form of a rectangle
from the bottom of a ladder. If he has to
having length 12 cm and width 8 cm. This
climb 4 more steps to reach exactly the
is used to construct a closed cube. The
middle step, how many steps does the
side of the cube is :
ladder have ?
(a) 2 cm
(a) 8
(b) 3 cm
(b) 9
(c) 4 cm
(c) 10
(d) 6 cm
(d) 11
108. In a question paper there are five
111. Direction for the following 3 (three)
questions to be attempted and answer
items: Consider the given information
to each question has two choices – True
and answer the three items that follow.
(T) or False (F). It is given that no two
candidates have given the answer to the
five questions in an identical sequence.
For this to happen the maximum number
of candidates is :
When three friends A, B and C met, it was
found that each of them wore an outer
garment of a different colour. In random
order, the garments are: jacket, sweater
and tie; and the colours are: blue, white
(a) 10
and black. Their surnames in random
(b) 18
order are: Ribeiro, Kumar and Singh.
(c) 26
Further, we know that :
(d) 32
1. Neither B nor Ribeiro wore a white
sweater
2. C wore a tie
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REASONING
3. Singh’s garment was not white
113. A cube has all its faces painted with
4. Kumar does not wear a jacket
different colours. It is cut into smaller
5. Ribeiro does not like to wear the
black colour
the small cube is one-fourth the big cube.
6. Each of the friends wore only one
outer garment of only one colour
i) What is C’s surname ?
cubes of equal sizes such that the side of
The number of small cubes with only one
of the sides painted is :
(a) 32
(b) 24
(a) Ribeiro
(c) 16
(b) Kumar
(d) 8
(c) Singh
114. A military code writes SYSTEM as
(d) Cannot be determined
SYSMET and NEARER as AENRER.
ii) What is the colour of the tie?
Using the same code, FRACTION can be
(a) Black
written as:
(b) Blue
(a) CARFTION
(c) White
(b) FRACNOIT
(d) Cannot be determined
(c) NOITCARF
iii) Who wore the sweater ?
(d) CARFNOIT
115. If R and S are different integers both
(a) A
divisible by 5, then which of the following
(b) B
is not necessarily true ?
(c) C
(a) R – S is divisible by 5
(d) Cannot be determined
112. A person walks 12 km due north, then 15
km due east, after that 19 km due west
and then 15 km due south. How far is he
from the starting point ?
(b) R + S is divisible by 10
(c) R × S is divisible by 25
(d) R2 + S2 is divisible by 5
116. How many numbers are there between
100 and 300 which either begin or end
(a) 5 km
with 2 ?
(b) 9 km
(a) 110
(c) 37 km
(b) 111
(d) 61 km
(c) 112
(d) None of these
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Monthly consumption (in.L)
Answer Key
96
D
97
D
103
i)
A
ii)
C
iii) B
REASONING
60,48,40,32
If the price goes up to Rs. 80 per litre, his
expected consumption (in litres) will be :
110
B
(a) 30
iv) B
(b) 28
v)
(c) 26
104
C
A
i)
A
111 ii)
B
(d) 24
119. Consider the following given below :
iii) A
98
B
105
D
i)
99
A
106
112
A
113
B
?
B
ii) B
To fit the question mark, the correct
answer is :
iii) C
100
B
107
C
114
D
101
D
108
D
115
B
102
C
109
B
116
A
(a)
(b)
2015
(c)
117. Twelve people form a club. By picking
(d)
lots, one of them will host a dinner for all
once in a month. The number of dinners
a particular member has to host in one
120. Consider the following matrix :
3
6
year is
(a) One
8 10
56 90
?
20
1
0
What is the missing number at ‘?’ in the
(b) Zero
matrix ?
(c) Three
(a) 5
(d) cannot be predicted
his
(b) 0
monthly petrol consumption when the
(c) 7
prices went up. The price consumption
(d) 3
118. An
2
2
automobile
owner
reduced
relationship is as follows:
Price (in Rs. Per litre)
40,50,60,75
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121. What is the missing number ‘X’ of the
REASONING
124. Four persons A, B, C and D consisting
series 7, X, 21, 31, 43?
of two married couples are in a group.
(a) 11
Both the women are shorter than their
respective husbands. A is the tallest
(b) 12
among the four. C is taller than B. D is B’s
(c) 13
brother. In this context, which one of the
(d) 14
122. Four
following statements is not correct?
cardboard
pieces
of
specific
shapes are shown in the following figure:
(a) All four have family ties.
(b) B is the shortest among the four.
(c) C is taller than D
(d) A is B’s husband.
125. Consider the following statements :
Which one of the following figures given
can be formed by joining these pieces
together?
2. The daughters were invited to a feast
and the male members of the family
went out to take part in a picnic.
(a)
3. The man’s father did not return from
his work.
(b)
Which of the following statements is
true?
(a) Only the man’s wife was left at home.
(c)
(b) It is likely that the man’s wife was left
at home.
(d)
(c) None was left at home.
123. In a test, a candidate attempted only 8
questions and secured 50% marks in
each of the questions. If he obtained a
total of 40% in the test and all questions
(d) More than one person was left at
home.
126. Geeta : Naresh has become a better
boxer since he started meditation.
in the test carried equal marks, how
Radha : Impossible. A boxer’s most
many questions were there in the test ?
important asset is his aggressiveness.
(a) 8
Radha’s statement reflects her belief
that
(b) 10
(a) meditation tends to make a person
less aggressive.
(c) 15
(d) 16
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1. A man had a wife, two sons and two
daughters in his family.
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(b) meditation has little or no effect on
the person who practises it.
(c) C has more than what A and D have
together
(c) Naresh was a poor boxer earlier
because he was not aggressive
enough.
(d) B is richer than D
(d) Naresh would not have taken to
meditation as he was a boxer.
127. All good athletes want to win and all
130. Examine the following statements:
1. Lady’s finger is tastier than cabbage.
2. Cauliflower is tastier than lady’s
finger.
athletes who want to win eat a well
3. Cabbage is not tastier than peas.
balanced diet therefore all athletes who
The conclusion that can be drawn from
do not eat a well-balanced diet are bad
these statements is that
athletes.
The best conclusion from this statements
is that
(a) no bad athlete wants to win
(b) no athlete who does not eat a well
balanced diet is a good athlete
(a) peas are as tasty as lady’s finger.
(b) peas are as tasty as cauliflower and
lady’s finger.
(c) cabbage is the least tasty of the four
vegetables.
(d) cauliflower is tastier than cabbage.
(c) every athlete who eats a well –
balanced diet is a good athlete
131. Shahid and Rohit start from the same
(d) all athlete who want to win are good
athletes
1 km, Shahid always turns left and Rohit
128. If A runs less fast than B, and B runs
as fast but not faster than C; then, as
compared to A, C runs
(a) slower than A
point in opposite directions. After each
always turns right. Which of the following
statements is correct?
(a) After both have travelled 2 km, the
distance between them is 4 km.
(b) They meet after each has travelled 3
km.
(b) faster than A
(c) with same speed as A
(d) Given data is not sufficient to
determine
129. Each of A, B, C and D has Rs. 100. A pays
(c) They meet for the first time after each
has travelled 4 km
(d) They go on without ever meeting
again.
Rs. 20 to B, who pays Rs. 10 to C, who
132. Each of the six different faces of a
gets Rs. 30 from D. In this context, which
cube has been coated with a different
one of the following statements is not
colour i.e., V, I, B, G, Y and O. Following
correct?
information is given :
(a) C is the richest
1. Colours Y, O and B are on adjacent
faces.
(b) D is the poorest
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REASONING
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REASONING
2. Colours I, G and Y are on adjacent
faces.
135. Usha runs faster than Kamala, Priti runs
3. Colours B, G and Y are on adjacent
faces.
than Kamala. Who is the slowest runner ?
4. Colours O, V and B are on adjacent
faces.
(b) Priti
Which is the colour of the face opposite
(d) Usha
to the face coloured with O ?
slower than Swati, Swati runs slower
(a) Kamala
(c) Swati
136. Directions for the following 2 (two) items:
(a) B
Read the following passage and answer
(b) V
the 2 (two) items that follow :
(c) G
A, B, C, D, E and F are cousins. No two
(d) I
cousins are of the same age, but all
133. Consider
the
following
statements
have birthdays on the same day of the
followed by two conclusions :
same month. The youngest is 17 years
Statements
old and the oldest E is 22 years old. F is
Some men are great.
somewhere between B and D in age. A is
Some men are wise.
Conclusion 1
Men are either great or
wise.
Conclusion II
older than B. C is older than D. A is one
year older than C.
i) Which one of the following is possible?
Some men are neither
(a) D is 20 years old
great nor wise.
(b) F is 18 years old
Which one of the following is correct?
(c) F is 19 years old
(a) Only conclusion I is valid
(d) F is 20 years old
(b) Only conclusion II is valid
ii) What is the number of logically
(c) Both the conclusions are valid
possible orders of all six cousins in terms
(d) Neither of the conclusions is valid
of increasing age ?
134. If ABC × DEED = ABCABC where A, B, C,
(a) 1
D and E are different digits, what are the
(b) 2
values of D and E?
(c) 3
(a) D = 2, E = 0
(d) 4
(b) D = 0, E = 1
(c) D = 1, E = 0
(d) D = 1, E = 2
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137. Two men, Anil and David, and two women,
Shabnam and Rekha are in a sales group.
Only two speak Tamil. The other two
REASONING
(a) B, C and F are cowards.
(b) A, E and F are fighters.
speak Marathi. Only one man and one
(c) B and E are in the same category.
woman can drive a car. Shabnam speaks
(d) A and F are in different categories.
Marathi. Anil speaks Tamil. Both Rekha
140. Candidates in a competitive examination
and David can drive.
consisted of 60% men and 40% women.
Which of the following statements is
70% men and 75% women cleared the
true?
qualifying test and entered the final test
(a) Both the Tamil speakers can drive a
car.
where 80% men and 70% women were
(b) Both the Marathi speakers can drive
a car.
Which of the following statements is
(c) Both of those who can drive a car
speak Marathi.
(a) Success rate is higher for women
(d) One of those who can drive a car
speaks Tamil.
(c) More men cleared the examination
than women.
138. In a plane, line X is perpendicular to
line Y and parallel to line Z; line U is
successful.
correct?
(b) Overall success rate is below 50%
(d) Both (a) and (b) above are correct.
perpendicular to both lines V and W; line
X is perpendicular to line V.
Which one of the following statements is
correct ?
Answer Key
(a) Z, U and W are parallel
117
D
125
B
133
D
118
A
126
A
134
C
119
A
127
B
135
B
120
A
128
B
136
121
A
129
C
137
D
122
D
130
C
138
D
are enemies, C and D are friends, E and F
123
B
131
B
139
B
are indifferent to each other, A and E are
124
C
132
C
140
C
(b) X, V and Y are parallel
(c) Z, V and U are all perpendicular to W
(d) Y, V and W are parallel
139. A society consists of only two types
of people - fighters and cowards. Two
cowards are always friends. A fighter and
a coward are always enemies. Fighters
are indifferent to one another. If A and B
i)
B
ii)
B
not enemies, while B and F are enemies.
Which of the following statements is
correct?
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2014
REASONING
144. Consider the following statements: There
141. A group of 630 children is seated in rows
for a group photo session. Each row
are six villages A, B, C, D, E and F.
F is 1 km to the West of D
contains three less children than the row
B is 1 km to the East of E
in front of it. Which one of the following
A is 2 km to the North of E
number of rows is not possible?
C is 1 km to the East of A.
(a) 3
D is 1 km to the South of A.
(b) 4
Which three villages are in the line ?
(c) 5
(a) A, C, B
(d) 6
(b) A, D, E
142. There are seven persons up on a ladder
(c) C, B, F
A, B, C, D, E, F and G (not in that order). A
(d) E, B, D
is further up than E but is lower than C,B
is in the middle. G is between A and B. E
is between B and F. If F is between E and
D, the person on the bottom step of the
ladder will be
occupying the seat next to B but not next
to C. If C is not sitting next to D, who is/
are occupying seat/seats adjacent to D ?
(a) B
(a) B
(b) A
(b) F
(c) B and A
(c) D
(d) Impossible to tell
(d) C
146. Six books are labeled A,B,C,D,E and F
143. Consider that :
and are placed side by side. Books B,C,E,
1. A is taller than B
and F have green covers while others
2. C is taller than A
have yellow covers. Books A,B and D
3. D is taller than C
are new while the rest are old volumes.
4. E is the tallest of all
Books A,B and C are law reports while
If they are made to sit in the above order
of their height, who will occupy the mid
position?
the rest are medical extracts. Which two
books are old medical extracts and have
green covers?
(a) B and C
(a) A
(b) E and F
(b) B
(c) C and E
(c) C
(d) C and F
(d) D
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147. A straight line segment is 36 cm long.
REASONING
149. Consider the following matrix :
Points are to be marked on the line from
both the end points. From each end, the
first point is at a distance of 1 cm from
the end, the second point is at a distance
of 2cm from the first point and the third
point is at a distance of 3cm from the
on the ends are not counted and the
is the number of points ?
↑↓
↓↑
↑→
↑←
↓→
↑↓
second point and so on. If the points
common points are counted as one, what
↑↑
↓↓
Which one of the following figures fits
into the blank part of the above matrix?
(a) 10
(a)
(b) 12
(c) 14
(b)
(d) 16
148. Examine the following figure :
(c)
(d)
↑→
↑↑
↑↓
↓↑
Which one of the following figures has
150. Consider the table given below in which
the above figure embedded in it ?
the numbers bear certain relationship
(a)
among themselves along rows :
29
33
30
(b)
(c)
13
X
27
18
19
3
Which one of the following numbers is
the missing number indicated above by
X?
(d)
(a) 19
(b) 15
(c) 14
(d) 8
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151. Consider the following matrix with one
REASONING
153. Consider the following figures :
empty block in the lower extreme corner:
?
Change in positions of beads in the
four figures above follows a sequence.
Following the same sequence, which of
the figures below should appear as the
fifth figure above ?
Which of the following figures could fit in
the empty block and thus complete the
matrix ?
(a)
(a)
(b)
(b)
(c)
(c)
(d)
154. “Price is not the same thing as value.
(d)
Suppose that on a day the price of
everything viz., coal, bread, postage
152. With reference to the figure given below,
stamps, a day’s labour, the rent of
the number of different routes from S to
houses, etc. were to double. Prices then
T without retracting from U and /or V, is
would certainly rise, but values of all
things except one would not.”
The writer wants to say that if prices of
S
U
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V
(a) 3
(b)
6
(c) 9 (d)
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all things were doubled
T
(a) The values of all things would remain
constant.
(b) The values of the things sold would be
doubled.
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REASONING
(c) The values of the things bought would
be halved.
157. In a group of six women there are
(d) The value of money only would be
halved.
one actress and three violinists. Girija
155. A and B decide to travel from place X
to place Y by bus. A has Rs. 10 with him
and he finds that it is 80 % of the bus
fare for two persons. B finds that he has
Rs. 3 with him and hands it over to A. In
this context, which one of the following
statements is correct?
(a) Now the money A has is just enough to
buy two tickets.
(b) A still needs Rs. 2 for buying the
tickets.
(c) After buying the two tickets A will be
left with 50 paise.
four dancers, four vocal musicians,
and Vanaja are among the violinists
while Jalaja and Shailaja do not know
how to play on the violin. Shailaja and
Tanuja are among the dancers. Jalaja,
Vanaja, Shailaja and Tanuja are all vocal
musicians and two of them are also
violinists. If Pooja is an actress, who
among the following is certainly a dancer
and a violinist?
(a) Jalaja
(b) Pooja
(c) Shailaja
(d) Tanuja
158. The letters L, M, N, O, P, Q, R, S and T
(d) The money A now has is still not
sufficient to buy two tickets.
in their order are substituted by nine
156. A question paper must have a question on
assigned to P. The difference between P
one of the eight poets: A, B, C, D, E, F, G
and T is 5. The difference between N and
or H. The first four belong to the medieval
T is 3. What is the integer assigned to N ?
period while the rest are considered
(a) 7 (b) 5
modern poets. Generally, modern poets
(c) 4 (d) 6
figure in the question paper in alternate
years. Generally, those who like H like G
also; and those who like F like E also. The
paper setter does not like to ask about
F as he has written a book on F, but he
integers 1 to 9 but not in that order 4 is
159. The number of deaths among the army
personnel is 8 in 1000, but among the
civilian population it is 20 per 1000.
Which one of the following inferences
likes F. Last year, the paper contained
can be drawn from this statement?
a question on A. On the basis of the
(a) It is better to join the army.
information given, this year’s paper is
(b) The relationship is fortuitous.
most likely to contain a question on
(c) Quality of Life Index is very high
within the armed forces.
(a) C
(b) E
(d) The groups cannot be compared due
to their heterogeneity.
(c) F
(d) H
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cause of more accidents than cars,
5. On Tuesday, he attends his Sports
classes.
and
If he attends just one subject in a day and
160. Given the statement: “Buses are the
trucks
cause
fewer
accidents
than buses”, which of the following
conclusions can we draw ?
(a) There are more buses on the road
than trucks.
(b) Car drivers are more careful than bus
drivers.
(c) Truck drivers are more skilled than
either car or bus drivers.
his Sunday is free, then he is also free on
(a) Monday
(b) Thursday
(c) Saturday
(d) Friday
163. In a row ‘A’ is in the 11th position from
the left and ‘B’ is in the 10th position from
the right. If ‘A’ and ‘B’ interchange, then
(d) None of the above
161. Four persons, Alok, Bhupesh, Chander
and Dinesh have a total of Rs. 100 among
themselves. Alok and Bhupesh between
‘A’ becomes 18h from the left. How many
persons are there in the row other than
‘A’ and ‘B’?
them have as much money as Chander
(a) 27
and Dinesh between them, but Alok has
(b) 26
more money than Bhupesh and Chander
(c) 25
has only half the money that Dinesh has.
Alok has in fact Rs. 5 more than Dinesh
has. Who has maximum amount of
(d) 24
164. Location of B is north of A and location
money?
of C is east of A. The distances AB and
(a) Alok
AC are 5 km and 12 km respectively. The
shortest distance (in km) between the
(b) Bhupesh
locations B and C is
(c) Chander
(a) 60 (b) 13
(d) Dinesh
(c) 17 (d) 7
162. Examine the following statements :
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REASONING
165. Directions for the following 3 (three)
1. George attends Music classes on
Monday.
items : Read the passage given below
2. Heattends Mathematics classes on
Wednesday.
C, D, E, F are members of a family. They
3. His Literature classes are not on
Friday.
draughtsman, lawyer and judge (not in
4. He attends History classes on the day
following the day of his Mathematics
classes.
lady stenographer. The judge is married
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and answer the items that follow. A, B,
are
engineer,
stenographer,
doctor,
order). A, the engineer is married to the
to the lawyer. F, the draughtsman is the
son of B and brother of E. C, the lawyer
is the daughter-in-law of D. E is the
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REASONING
2013
unmarried doctor, D is the grandmother
of F. There are two married couples in
the family.
166. Four friends A, B, C & D distribute some
money among themselves in such a
i) What is the profession of B ?
manner that A gets one less than B, C
(a) Judge
gets 5 more than D, D gets 3 more than B.
(b) Lawyer
Who gets the smallest amount?
(c) Draughtsman
(a) A
(d) Cannot be determined
(b) B
ii) Which of the following is/are a couple
(c) C
/ couples?
(d) D
(a) AD only
167. Directions for the following 4 (four)
(b) BC only
items: Read the following statements
and answer the four items that follow :
(c) Both AD and BC
Five cities P, Q, R, S and T are
connected by different modes of
transport as follows:
(d) Both AC and BD
iii) What is the profession of D ?
(a) Judge
P & Q are connected by boat as
well as rail.
(b) Stenographer
S and R are connected by bus and
boat.
(c) Doctor
(d) Cannot be determined
Q and T are connected by air only.
P and R are connected by boat only.
Answer Key
T and R are connected by rail and
bus.
141
D
150
D
159
D
142
C
151
A
160
D
143
C
152
D
161
A
144
B
153
B
162
D
Which mode of transport would
help one to reach R starting from Q,
but without changing the mode of
transport ?
145
B
154
D
163
C
(a) Boat
146
B
155
C
164
B
(b) Rail
147
B
156
B
148
C
157
D
149
B
158
D
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165
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i)
i)
A
(c) Bus
ii)
C
(d) Air
iii)
B
ii)
124
If a person visits each of the places starting from P and gets back to P,
which of the following places must be
visit twice ?
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REASONING
(a) Q
(b) A, C, X and Y
(b) R
(c) A, C, Y and Z
(c) S
(d) A, W, Y and Z
ii)
(d) T
iii) Which one of the following pairs of
cities is connected by any of the routes
directly without going to any other city
?
(a) P and T
If B is selected and Y is rejected, the
team will consist of which one of the
following groups ?
(a) A, B, C and W
(b) A, B, C and Z
(c) A, B, C and X
(b) T and S
(d) A, W, Y and Z
(c) Q and R
(d) None of these
iv) Between which two cities among the
pairs of cities given below are there
maximum travel options available ?
(a) Q and S
iii) If all the three males are selected,
then how many combinations of four
member teams are possible?
(a) 1
(b) 2
(c) 3
(b) P and R
(d) 4
(c) P and T
169. The music director of a film wants to
(d) Q and R
select four persons to work on different
168. Directions for the following 3 (three)
aspects of the composition of a piece of
items:
music. Seven persons are available for
Read the following passage and answer
this work; they are Rohit, Tanya, Shobha,
the three items that follow :
Kaushal, Kunal, Mukesh and Jaswant.
A tennis coach is trying to put together a
Rohit and Tanya will not work together.
team of four players for the forthcoming
Kunal and Shobha will not work together.
tournament. For this 7 players are
Mukesh and Kunal want to work together.
available : Males A,B and C and Females
Which of the following is the most
W, X, Y and Z. All players have equal
acceptable group of people that can be
capability and at least 2 males will be
selected by the music director ?
there in the team. For a team of four, all
players must be able to play with each
(a) Rohit, Shobha, Kunal and Kaushal
other. But, B cannot play with W, C cannot
(b) Tanya, Kaushal, Shobha and Rohit
play with Z and W cannot play with Y.
(c) Tanya, Mukesh, Kunal and Jaswant
i)
(d) Shobha, Tanya, Rohit and Mukesh
If Y is selected and B is rejected, the
team will consist of which one of the
following groups ?
(a) A, C, W and Y
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REASONING
170. Five people A, B, C, D and E are seated
(c) B
about a round table. Every chair is
(d) A
spaced equidistant from adjacent chairs.
(i) C is seated next to A.
(a) Basketball
(ii) A is seated two seats from D.
(b) Hockey
(iii) B is not seated next to A.
(c) Cricket
Which of the following must be true ?
I.
(d) Football
D is seated next to B.
172. Geeta is older than her cousin Meena.
II. E is seated next to A.
Meena’s brother Bipin is older than
Select the correct answer from the codes
Geeta. When Meena & Bipin visit Geeta,
given below :
they like to play chess. Meena wins the
game more often than Geetha.
(a) I only
Based on the above information, four
(b) II only
conclusions, as given below, have been
(c) Both I and II
made. Which one of these logically
(d) Neither I nor II
follows from the information given above?
171. Directions for the following 3 (three)
items :
Examine
carefully
the
following
statements and answer the three items
that follow :
i)
(c) Geeta hates to lose the game.
cities P, Q, R, and T (not necessarily in
that order). Each one of them comes
from a different city. Further it is given
that :
Who does not Play hockey?
1. B and C do not belong to Q
2. B and E do not belong to P and R
(b) C
3. A and C do not belong to R, S and T
(c) B
4. D and E do not belong to Q and T
(d) A
Who plays football, basketball and
hockey ?
(a) D
Which one of the following statements is
not correct ?
(a) C belongs to P
(b) D belongs to R
(b) C
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(b) Geeta is the oldest among the three.
173. A, B, C, D and E belong to five different
(a) D
ii)
(a) While playing chess with Geeta, and
Meena, Bipin often loses.
(d) Meena is the youngest of the three.
Out of four friends A, B, C and D,
A and B play football and cricket,
B and C play cricket and hockey,
A and D play basketball and football,
C and D play hockey and basketball.
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iii) Which game of B, C and D play ?
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(c) A belongs to Q
REASONING
177. Consider the following figures 1, 2, 3 and
4:
(d) B belongs to S
174. Seven men, A, B, C, D, E, F and G are
standing in a queue in that order. Each
one is wearing a cap of a different colour
like violet, indigo, blue, green, yellow,
orange and red. D is able to see in front
of him green and blue, but not violet. E
can see violet and yellow, but not red. G
can see caps of all colours other than
orange. If E is wearing an indigo coloured
1
2
3
4
In the figures from 1 to 4 above, two
symbols are shown to change their
position in a regular direction.
Following the same sequence,
which one of the following will
appear at the fifth stage?
cap then the colour of the cap worn by F
is
(a)
(a) Blue
(b) Violet
(c) Red
(d) Orange
(b)
175. There are some balls of red, green and
yellow colour lying on a table. There are
as many red balls as there are yellow
balls. There are twice as many yellow
(c)
balls as there are green ones. The
number of red balls
(a) is equal to the sum of yellow and
green balls.
(b) is double the number of green balls.
(c) is equal to yellow balls minus green
balls.
178. Directions for the following 2 (two) items:
In each item, there are two sets of figures,
first four figures named problem figures
(d) cannot be ascertained.
176. In a class of 45 students, a boy is ranked
20th. When two boys joined, his rank was
dropped by one. What is his new rank
from the end?
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(d)
and next four figures named answer
figures indicated as (a),(b),(c) and (d).
The problem figures follow a particular
sequence. In accordance with the same
which one of the four answer figures
(a) 25th (b)
26th
(c) 27th (d)
28th
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should appear as the fifth figure ?
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Problem figures :
REASONING
180. Consider the following diagrams: x
men, working at constant speed, do a
certain job in y days. Which one of these
diagrams shows the relation between x
and y?
Days
Answer figures :
y
Days
y
Days
179. Problem figures :
0
Men X
diagram II
y
Men X
diagram I
y
Days
0
0
Men X
diagram III
0
Men X
diagram IV
(a) diagram I
Answer figures :
(b) diagram II
(a)
(c) diagram III
(d) diagram IV
181. Examine the following three figures in
(b)
which the numbers follow a specific
pattern :
84
14
(c)
12
81
18
88
?
9
11
The missing number (?) in the third figure
above is :
(d)
(a) 7 (b) 16
(c) 21 (d) 28
182. A cube has six numbers marked 1, 2, 3,
4, 5 and 6 on its faces. Three views of the
cube are shown below :
1
6
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3
4
1
3
2
5
6
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REASONING
What possible numbers can exist on the
two faces marked (A) and (B) respectively
on the cube ?
Answer Key
166
i)
A
B
A
4
167
ii) B
iii) D
iv) A
(c) 1 and 4 (d) 3 and 1
i)
168
D
178
B
173
D
179
B
174
C
180
D
A
(a) 2 and 3 (b) 6 and 1
183. Consider the following figures :
172
B
ii) C
iii) B
(1)
(2)
(3)
(4)
(6)
C
175
B
181
D
170
C
176
C
182
B
177
B
183
D
i)
?
(5)
169
171
D
ii) A
iii) B
(7)
Which one of the following figures
2012
would logically come in the 7th position
indicated above by a question mark ?
184. Directions for the following 5 (five) items:
Examine the information given in the
following paragraph and Solution: the
items that follow:
(a)
Guest lectures on five subjects viz.,
Economics, History, Statistics, English
and Mathematics have to be arranged
(b)
in a week from Monday to Friday. Only
one lecture can be arranged on each
day. Economics cannot be scheduled
on Tuesday. Guest faculty for History is
(c)
available only on Tuesday. Mathematics
lecture has to be schedules immediately
after the day of Economics lecture.
English lecture has to be scheduled
(d)
immediately before the day of Economics
lecture.
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DELHI UPSC SECRETS
i)
C-SAT MADE EASY
Which lecture is scheduled on Monday?
(b) Economics
is equally friendly to all, and has to go up
as frequently as go down. The engineer
has to go up to meet his MLA friend above
(d) Statistics
whose flat lives the professor’s friend.
Which lecture is scheduled between
Statistics and English?
From the ground floor to the top floor, in
(a) Economics
(a) Engineer, Professor, Doctor, IAS officer,
MLA
what order do the five professionals live?
(b) Professor, Engineer, Doctor, IAS officer,
MLA
(c) Mathematics
(d) No lecture
iii) Which lecture is the last one in the
week?
(c) IAS officer, Engineer, Doctor, Professor,
MLA
(d) Professor, Engineer, Doctor, MLA, IAS
officer
(a) History
(b) English
186. Examine the following statements:
(c) Mathematics
1. I watch TV only if I am bored
(d) Economics
iv) Which lecture is located scheduled on
Wednesday?
2. I am never bored when I have my
brother’s company.
3. Whenever I go to the theatre I take
my brother along.
(a) Statistics
(b) Economics
Which one of the following conclusions
(c) English
is valid in the context of the above
(d) History
statements?
Which lecture is scheduled before the
Mathematics lecture?
(a) If I am bored I watch TV
(a) Economics
(b) History
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professionals. The professor has to go up
to meet his IAS officer friend. The doctor
(b) History
v)
185. In five flats, one above the other, live five
(a) History
(c) Mathematics
ii)
REASONING
(b) If I am bored, I seek my brother’s
company.
(c) Statistics
(c) If I am not with my brother, than i’ll
watch TV.
(d) English
(d) If I am not bored I do not watch TV.
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DELHI UPSC SECRETS
C-SAT MADE EASY
187. Only six roads A, B, C, P, Q and R connect
a military camp to the rest of the country.
Only one out of A, P, and R are open at
any one time. If B is closed so is Q. Only
one of A & B is open during storms. P
is closed during floods. In the context,
which one of the following statements is
correct?
(a) Under normal conditions only three
roads are open.
REASONING
189. Four political parties W, X, Y and Z
decided to set up a joint candidate for
the coming parliamentary elections.
The formula agreed by them was the
acceptance of a candidate of the most
of the parties. For aspiring candidates
A, B, C and D approached the parties for
their ticket.
A was acceptable to W but not Z
B was acceptable to Y but not X
(b) During storms at least one road is
open.
C was acceptable to W and Y
(c) During floods only three roads are
open
When candidate B was preferred by W
(d) During calamities all roads are closed
and Z and candidate A was acceptable
D was acceptable to W and X
and Z, candidate C was preferred by X
to X but not Y: Who got the ticket?
188. Examine the following statements:
1. None but students are the members of
the club.
(a) A
2. Some members of the club are
married.
(c) C
3. All married persons are invited for
dance.
Which one of the conclusions can be
drawn from the above statements?
(b) B
(d) D
190. Consider the following statements:
1. All X-brand cars parked here are
white.
2. Some of them have radial tyres
(a) All students are invited for dance
(b) All married students are invited for
dance
3. All X-brand cars manufactured after
1986 have radial tyres are parked
here.
(c) All members of the club are married
person
4. All cars are not X-brand.
(d) None of the above conclusions can be
drawn
can be drawn from the above statements?
Which one of the following conclusions
(a) Only white cars are parked here.
(b) Some white X-brand cars with radial
tyres are parked here.
(c) Cars other than X-brand cannot have
radial tyres.
(d) Most of the X-brand cars are
manufactured before 1986.
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DELHI UPSC SECRETS
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191. Consider the following statements:
REASONING
193. Six squares are coloured, front and
The Third World War, if it ever starts
will end very quickly with possible
end of civilization. It is only the misuse
of nuclear power which will trigger it.
back, red(R), blue(B), yellow (Y), green
Based on the above statement which
one of the following inferences is
correct?
what would be the face opposite to white
(G), white (W), orange (O) and are hinged
together as shown in the figure given
below. If they were folded to form a cube
face?
(a) R
(a) Nuclear power will be used in Third
World War.
(b) G
(b) There will be no civilization left after
the third world war.
(d) O
(c) The growth of nuclear power will
destroy civilization in the long run.
(c) B
194. Three views of a cube following a
particular motion are given below:
(d) The third world war will not take
place.
192. Figures given below are changing with
certain rules as we observe them from
K
A
left to right:
H
B
M
B
K
P
H
What is letter opposite to A?
(a) H
(b) P
According to this rule which of the
following would be the next figure if
the changes were made in the same
rule?
(a)
(c) B
(d) M
195.
(b)
?
(c)
(d)
Which one of the figures shown below
occupies the blank space(?) in the matrix
given below?
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DELHI UPSC SECRETS
C-SAT MADE EASY
REASONING
198. Examine the following statements:
(a)
(b)
(c)
1. Only those who have a pair of
binoculars can become the member
of the birdwatcher’s club.
2. Some members of the birdwatcher’s
club have cameras.
(d)
3. Those members who have cameras can
take part in photo-contests.
196. Consider the following statements:
1. All artists are whimsical.
Which of the following conclusions can
2. Some artists are drug addicts.
be drawn from the above statements?
3. Frustrated people are prone to
become drug addicts.
(a) All those who have a pair of binoculars
are members of the birdwatcher’s
club.
From the above three statements it may
be concluded that:
(a) Artists are frustrated
(b) Some drug addicts are whimsical
(c) All frustrated people are drug
addicts.
(d) Whimsical people are generally
frustrated
197. Examine the following statements:
1.
(b) All members of the birdwatcher’s club
have a pair of binoculars.
(c) All those who take part in photocontests are members of the
birdwatcher’s club.
(d) No conclusion can be drawn.
199. During the summer vacation Ankit went
to a summer camp where he took part
in hiking, swimming and boating. This
Either A & B are of same age or A is
older than B
summer, he is looking forward to a music
camp where he hopes to sing, dance and
2. Either C & D are of same age or D is
older than C
learn to play the guitar.
3. B is older than C
conclusions as given below, have been
Which of the following conclusions can
be drawn from the above statements?
Based on the above information four
made. Which one of these logically follows from the information given above?
(a) Ankit’s parents want him to play
guitar.
(a) A is older than B
(b) B and D are of the same age
(b) Ankit prefers
activities.
(c) D is older than C
(d) A is older than C
music
to
outdoor
(c) Ankit goes to some type of camp
every summer.
(d) Ankit likes to sing and dance
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200. Three persons A, B & C wear shirts of
REASONING
202. Gita is prettier than Sita but not as pretty
Black, Blue and Orange colours (not
as Rita. Then,
necessarily in the order) and pants of
(a) Sita is not as pretty as Gita
green, yellow and orange (not necessarily
in that order). No person wore shirt and
(b) Sita is prettier than Rita
pant of the same colour. Further, it is
(c) Rita is not as pretty as Gita
given that,
(d) Gita is prettier than Rita
1. A did not wear shirt of black colour.
203. Given that,
2. B did not wear shirt of blue colour.
1. A is the brother of B
3. C did not wear shirt of orange colour.
2. C is the father of A.
4. A did not wear the pants of green
colour
3. D is brother of E.
5. B wore pants of orange colour.
4. E is the daughter of B
Then, the uncle of D is?
What were the colours of the pants and
shirts worn by C respectively?
(a) A (b) B
(c) C (d) E
(a) Orange and black
204. Who scored the highest?
(b) Green and blue
(a) Rama
(c) Yellow and blue
(b) Padma
(d) Yellow and black
201. Ten new TV shows started in January 5
sitcoms, 3 drama and 2 news magazines.
(c) Rani
(d) Ratna
By April, only seven of the new shows
Answer Key
were still on, five of them being sitcoms.
Based on the above information, for
conclusions, as given below, have
been made. Which of these logically
follows from the information given
above?
(a) Only one news magazine show is still
going on.
D
ii)
B
184 iii) C
191
A
198
B
iv) C
v)
A
185
D
192
D
199
D
(b) Only one of the drama show is still
going on.
186
D
193
C
200
B
(c) At least one discontinued show was a
drama.
187
B
194
A
201
C
188
B
195
D
202
A
189
C
196
B
203
A
190
B
197
D
204
D
(d) Viewers prefer sitcoms over drama.
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i)
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DELHI UPSC SECRETS
C-SAT MADE EASY
2011
REASONING
206. Consider the following figures:
205. Consider the following distance - time
graph.
2
80
6
24
3
120
?
36
The graph shows three athletes A,
What is the missing number?
Band C running side by side for a 30 km
(a) 7 (b) 8
race. With reference to the above graph
(c) 9 (d) 10
consider the following statements:
207. Study the following figure:
1. The race was won by A.
2. B was ahead of A up to 25 km 26
mark.
3. C ran very slowly from the beginning.
C
35
Time in min
30
B
B
A
25
Select the correct answer from the codes
A
20
15
given below:
(a) 4
B
10
A person goes from A to B always
moving to the right or downwards
along the lines. How many different
routes can he adopt?
A
(b) 5
C
5
(c) 6
5 10 15 20 25 30 35 40 45
Distance in min
(d) 7
208. Consider the following figure and answer
the item that follow :
Which of the statements given above is/
are correct ?
(a) 1 only
(b) 1 and 2 only
(c) 2 and 3 only
(d) 1, 2 and 3
What is total number of triangles in the
above grid ?
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(a) 27 (b)
26
(c) 23 (d)
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DELHI UPSC SECRETS
C-SAT MADE EASY
209. Directions for the following 3 (Three)
items:
Read the passage given below, study
REASONING
iii) Which region of the curve indicates
that the treatment yielded effective relief?
the graph that follows and answer the
(a) C
three items given below the figure.
(b) D
During a party, a person was exposed to
(c) E
contaminated water. A few days later, he
developed fever and loose motions. He
suffered for some days before going to
(d) The curve does not indicate the
treatment
a doctor for treatment. On starting the
210. There are four routes to travel from city
treatment, he soon became better and
A to city B and six routes from city B to
recovered completely a few days later.
city C. How many routes are possible to
The following graph shows different
travel from the city A to city C?
phases of the person’s disease condition
(a) 24
as regions A, B, C, D and E of the curve.
(b) 12
Number of bacteria
(c) 10
(d) 8
D
E
C
A
0
i)
211. Consider the figure given below and
B
0
answer the items that follows:
P2
Time
Which region/regions of the curve
correspond/corresponds to incubation
phase of the infection ?
(a) A only
S
(b) B only
O
(c) B and C
ii)
P1
(d) No part of the curve indicates
the incubation phase
In the figure shown above, OP 1. and OP 2.
Which region of the curve indicates
that the person began showing the
symptoms of infection ?
to each other. S is the direction of a beam
(a) A
from the mirror OP 2 will be
(b) B
(a) Perpendicular to the direction S.
(c) C
(b) At 45° to the direction S.
(d) D
(c) Opposite and parallel to the direction
S.
are two plane mirrors kept perpendicular
of light falling on the mirror OP 1. The
direction of the reflected beam of light
(d) At 60° to the direction S.
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212. Consider the following figure and answer
the item that follows:
REASONING
214. A person has only Rs. 1 and Rs. 2 coins
with her. If the total number of coins that
she has is 50 and the amount of money
with her is Rs. 75, then the number of Rs.
1 and Rs. 2 coins are, respectively
(a) 15 and 35
(b) 35 and 15
(c) 30 and 20
(d) 25 and 25
215. Three persons start walking together and
their steps measure 40 cm, 42 cm and 45
What is the minimum number of different
cm respectively. What is the minimum
colours required to paint the figure given
distance each should walk so that each
above such that no two adjacent regions
can cover the same distance in complete
have the same colour ?
steps ?
(a) 3
(a) 25 m 20 cm
(b) 4
(b) 50 m 40 cm
(c) 5
(c) 75 m 60 cm
(d) 6
(d) 100 m 80 cm
213. Consider the following figure and answer
216. The houses of A and B face each other
on a road going north-south, A’s being
the items that follows:
on the western side. A comes out of his
15
house, turns left, travels 5 km, turns right,
travels 5 km to the front of D’s house.
48
B does exactly the same and reaches
A square is divided into four rectangles
as shown above. The lengths of the sides
of rectangles are natural n umbers. The
areas of two rectangles are indicated
the front of C’s house. In this context,
which one of the following statements is
correct?
(a) C and D live on the same street.
in the figure. What is the length of each
(b) C’s house faces south.
side of the square?
(a) 10
(c) The houses of C and D are less than 20
km apart.
(b) 11
(d) None of the above
(c) 15
(d) Cannot be determined as the given
data are Insufficient
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DELHI UPSC SECRETS
C-SAT MADE EASY
217. Read the following passage and answer
the 3 (three) items that follow:
A, B, C, D and E are members of the same
family. There are two fathers, two sons,
two wives, three males and two females.
The teacher was the wife of a lawyer who
was the son of a doctor. E is not a male,
neither also a wife of a professional. C is
the youngest person in the family and D
is the eldest. B is a male.
219. Consider the following three statements:
1. Only students can participate in the
race.
2. Some participants in the race are
girls.
3. All girl participants in the race are
invited for coaching.
Which one of the following conclusions
can be drawn from the above statements?
(a) All participants in the race are invited
for coaching.
i) How is D related to E ?
(a) Husband
(b) All students are invited for coaching.
(b) Son
(c) All participants in the race are
students.
(c) Father
(d) Wife
(d) None of the statements (a), (b) and (c)
given above is correct.
ii) Who are the females in the group ?
(a) C and E
220. Directions for the following 2 (two) items:
(b) C and D
Each of the following two items consists
of
(c) E and A
four
statements.
Of
these
four
statements, two cannot both be true, but
(d) D and E
both can be false. Study the statements
iii) Whose wife is the teacher?
carefully and identify the two that satisfy
(a) C
the above condition. Select the correct
answer using the codes given below
(b) D
each set of statements :
(c) A
i)
(d) B
Examine the following statements:
1. All animals are carnivorous.
218. In a queue, Mr. X is fourteenth from the
front and Mr. Y is seventeenth from the
end, while Mr. Z is exactly in between Mr.
X and Mr. Y. If Mr. X is ahead Mr. Y and
2. Some animals are not carnivorous.
3. Animals are not carnivorous.
4. Some animals are carnivorous.
there are 48 persons in the queue, how
Codes:
many persons are then between Mr. X
(a) 1 and 3
and Mr. Z ?
(b) 1 and 2
(a) 6 (b) 7
(c) 2 and 3
(c) 8 (d) 9
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REASONING
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(d) 3 and 4
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DELHI UPSC SECRETS
ii)
C-SAT MADE EASY
REASONING
Examine the following statements:
Answer Key
1. All trains are run by diesel engine.
2. Some trains are run by diesel
engine.
205
B
211
C
217
Codes:
(a) 1 and 2
212
A
218
C
207
C
213
B
219
C
208
C
214
D
220
215
A
216
C
Delhi Secrets
i)
A
ii)
B
i)
A
ii) C
iii) A
210
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C
C
209
(d) 1 and 4
ii)
206
(b) 2 and 3
(c) 1 and 3
A
iii) D
3. No train is run by diesel engine.
4. Some trains are not run by diesel
engine.
i)
139
A
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