CLAT 2022 Sample Paper Quantitative Aptitude

Sample Paper

Clat (Math)

Q.No. 1 If a person travels at a speed of 40 km/h he will reach his destination on time. He covered half the
journey in of time. At what speed (in km/h) should he travel to cover the remaining journey to reach the
destination on time?

(A) 48

(B) 50

(C) 60

(D) 72

Q.No. 2 The parallel sides of a trapezium shaped field are 25 m and 10 m and non parallel sides are 14 m and
13 m. What is the area (in m2) of the field?

(A) 204

(B) 196

(C) 156

(D) 144

Q.No. 3 Four pipes A, B, C and D can fill a tank with water in 15, 20, 30 and 60 hours respectively. Pipe A
is opened at 4 a.m., B at 5 a.m., C at 6 a.m. and D at 7 a.m. When is the tank filled up completely?

(A) 9:30 a.m.

(B) 10:00 a.m.

(C) 10:30 a.m.

(D) 11:00 a.m.

Q.No. 4 The ratio of two numbers is 4:5. But, if each number is increased by 20, the ratio becomes 6:7. The
sum of such numbers is:

(A) 90

(B) 95

(C) 100

(D) 60

Q.No. 5 Two coins are tossed simultaneously. The probability of getting at the most one head is:

(A) 1/4

(B) 1/2

(C) 3/4

(D) 1

Q.No. 6 The fractions 42/491 , 30/313 and 35/367 are arranged in ascending order of magnitude as

(A) 35/367, 30/313, 42/491

(B) 42/491, 35/367, 30/313

(C) 30/313, 35/367, 42,491

(D) 42/491, 30/391, 35/367

Q.No. 7 The 10th term of the series: 5, 8, 11, 14, ... is:

(A) 32

(B) 35

(C) 38

(D) 185

Q.No. 8 x2 (a-b) + a2(b-x) + b2 (x-a) is factored as

(A) (a-b)(x-a)(x-b)

(B) (a-b)(x-a)(x+b)

(C) (b-a)(x+a)(x-b)

(D) (a+b)(x-a)(x+b)

Q.No. 9 Jogen's taxable income for 2010-11 is Rs. 5,00,000. The tax rates are (i) nil for first 1,50,000, (ii)
10% for 150,001-3,00,000, and (iii) 20% for the remaining. His Tax liability is:

(A) 45000

(B) 50000

(C) 55000

(D) 60000

Q.No. 10 A flag pole 18 m high casts a shadow 9.6 m long. What is the distance of the top of the pole from
the far end of the shadow?

(A) 20 metres

(B) 20.04 metres

(C) 20.4 metres

(D) 24 metres

Q.No. 11 In a 120 litre of solution of Acid and water, acid is 75%. A person takes out 20 litres of this
solution and added 16.2 litres of acid and 3.8 litres of water in the remaining solution. What is the percentage
of water in the final solution?

(A) 22

(B) 24

(C) 25

(D) 28

Q.No. 12 If (9/7)3 x (49/81)2x-6 =(7/9)9, then the value of x is:

(A) 12

(B) 9

(C) 8

(D) 6

Q.No. 13 Six dice are stacked on the floor as shown in the figure below. On each dice, the sum of numbers
on opposite faces is 7, i.e., if 1 is written on one face then 6 is written on the face opposite it and so on.

What is the maximum possible sum of numbers
on the 21 visible faces?

(A) 88

(B) 89

(C) 96

(D) 147

Q.No. 14 Akbar will turn 50 when his son Jehangir turns 18. What will be Akbar's age when it will be
exactly 5 times that of Iehangir?

(A) 36

(B) 40

(C) 44

(D) 48

Q.No. 15 The marked price of an article is 20% more than the cost price. If the article is sold at a discount of
15% on its marked price, then the gain percent is

(A) 5

(B) 4 1

2

(C) 2 1

2

(D) 2

Q.No. 16 Difference between two numbers is 9 and difference between their squares is 981. Lowest of the
two numbers is:

(A) 40

(B) 50

(C) 55

(D) 59

Q.No. 17 In a staff room of 25 teachers, 13 drink black coffee, 7 milk coffee, 9 drink both tea and either type
of coffee, and everyone drinks either of the beverages. How many teachers drink only tea?

(A) insufficient information

(B) 5

(C) 6

(D) 9

Q.No. 18 The number of children in a camp is x and their average weight is 20 kg. If 5 children each
weighing 12 kg, join the camp or if 10 children each weighing 21 kg leave the camp, the average weight in
both the cases remain the same. The value of x is

(A) 18

(B) 16

(C) 15

(D) 14

Q.No. 19 Three fair dice are thrown simultaneously. What is the probability that the sum of numbers on their
tops, is at least 6?

(A) 5/108

(B) 1/24

(C) 103/108

(D) 17/18

Q.No. 20 A student was asked to simplify the expression: 0.1216×0.105×0.0002

0.625×0.08512×0.039×0.16
his answer was 1/65. What
is the difference between his answer and the correct answer?

(A) 1/65

(B) 1/130

(C) 1/26

(D) 1/13

Q.No. 21 A man walks from his house to the Railway station to catch a train, which is running as per
schedule. If he walks at 6 km/hr, he misses the train by 9 minutes. However, if he walks at 7 km/hr, he
reaches the station 6 minutes before the departure of rain. The distance of his home to the Railway Station is:

(A) 2 km

(B) 1.5 km

(C) 10.5 km

(D) 1.25 km

Q.No. 22 Ms. Jhulan Goswami scores 102 runs in the 18th innings of her career and thus increases her
average by 5. After the 18th inning, her average is:

(A) 17

(B) 21

(C) 26

(D) 28

Q.No. 23 Arun can climb a Coconut tree by 1.5 feet by each lift; however he slips 0.5 feet every time he
makes the next lift. How many individual lifts he will have to reach the top of the Coconut tree of 18.5 feet?

(A) 20

(B) 19

(C) 18

(D) 17

Q.No. 24 A cylindrical tennis ball container can contain maximum three balls stacked on one another. The
top and bottom bails also touch the lid and the base of the container respectively. If the volume of a tennis
ball is 240 cm, then what is the volume of the container?

(A) 1080 cm3

(B) 840 cm3

(C) 1440 cm3

(D) 720 cm3

Q.No. 25 ABCD is a quadrilateral in which measures of angle D and angle C are 60°, and 100° respectively.
If the internal bisectors of angle A and angle B meet at P, then measure of angle APB is

(A) 80°

(B) 90 °

(C) 100 °

(D) 110 °

Q.No. 26 A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the
box, the probability that it bears a perfect square number is:

(A) 1/10

(B) 1/11

(C) 1/90

(D) 1/9

Q.No. 27 If the length and height of a brick increases by 10% each respectively, and the breadth reduces by
20%, what is the percentage change in the volume of the brick?

(A) 28

(B) 30

(C) 32

(D) 36

Q.No. 28 A sum amounts to Rs. 9680 in 2 years and to Rs. 10648 in 3 years respectively at compound
interest. What will be the amount if the same sum is invested for 1 years at the same rate of compound
2

5

interest?

(A) Rs. 9025

(B) Rs. 9152

(C) Rs. 9215

(D) Rs. 9251

Q.No. 29 Reshma sells an article to Rekha at 37.5% profit, Rekha sells it to Madhu at 9 % profit. Again
1

11

Madhu sells it to Mitu at 25% loss. If Mitu pays Rs. 342 for the article, then what is the cost price of the
article to Reshma?

(A) Rs. 304

(B) Rs. 266.50

(C) Rs. 380

(D) Rs. 384.75

Q.No. 30 Suman saves 10% of her monthly salary. Now her expenditure increases by 30% and savings
increases by 50%. The present increase in her salary is

(A) 25%

(B) 30%

(C) 32%

(D) 40%

Answer Sheet
Q.No Answer
Q.No. 1 (C)
Q.No. 2 (B)
Q.No. 3 (D)
Q.No. 4 (A)

Q.No. 5 (C)
Q.No. 6 (B)
Q.No. 7 (A)
Q.No. 8 (A)
Q.No. 9 (C)
Q.No. 10 (C)
Q.No. 11 (B)
Q.No. 12 (D)
Q.No. 13 (B)
Q.No. 14 (B)
Q.No. 15 (D)
Q.No. 16 (B)
Q.No. 17 (A)
Q.No. 18 (C)
Q.No. 19 (C)
Q.No. 20 (B)
Q.No. 21 (C)
Q.No. 22 (A)
Q.No. 23 (C)
Q.No. 24 (A)
Q.No. 25 (A)
Q.No. 26 (A)
Q.No. 27 (C)
Q.No. 28 (B)
Q.No. 29 (A)
Q.No. 30 (C)