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CLAT Maths Numerical Ability Sample Paper

common law admission test numerical ability
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This CLAT Maths sample paper consists 20 questions from and has 20 marks in CLAT Exam.

Question: A clock shows the time as 6 a.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 9 p.m.?
(a) 30 minutes
(b) 25 minutes
(c) 28 minutes
(d) 34 minutes
Ans: (a)

Question: A train of 100 meters long is running at the speed of 36 km per hour. In what time it passes a bridge of 80 meters long?
(a) 30 seconds
(b) 36 seconds
(c) 20 seconds
(d) 18 seconds
Ans: (d)

Question: If the price of sugar is raised by 60% then by how much percentage should a household reduce his consumption so that his expenditure on sugar doesn’t increase?
(a) 60%
(b) 40%
(c) 37.5%
(d) 30%
Ans: (c)

Question: If two-third of a bucket is filled in one minute then the time taken to fill the bucket completely will be ___
(a) 90 seconds
(b) 70 seconds
(c) 60 seconds
(d) 100 seconds
Ans: (a)

Question: A man invested 1 3 of his capital at 7%, 1 4 at 8% and the remainder at 10%. If his annual income is Rs. 561, the capital is ___
(a) Rs. 6000
(b) Rs. 6200
(c) Rs. 6400
(d) Rs. 6600
Ans; (d)

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Question: What is the chance of getting a 2 or 4 in rolling a die?
(a) 2/3
(b) 1/6
(c) 1/3
(d) 1/2
Ans: (b)

Question: At what rate of simple interest per annum an amount will be doubled in 10 years?
(a) 10%
(b) 7.5%
(c) 16%
(d) 15%
Ans: (a)

Question: If 75 % of a number is added to 75, the result is the number itself, then the number is:
(a) 250
(b) 750
(c) 400
(d) 300
Ans: (d)

Question: Three books and a pen cost Rs. 70 and 2 pens and a book cost Rs. 40. How much will a book and a pen cost ?
(a) Rs. 10
(b) Rs. 20
(c) Rs. 30
(d) Rs. 40
Ans: (c)

Question: A school has enough food for 400 children for 12 days. How long will the food last if 80 more children join them?
(a) 6 days
(b) 7 days
(c) 10 days
(d) 8 days
Ans: (c)

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Question: The radii of two spheres are in the ratio 2:3. What is the ratio of their surface areas?
(a) 4 : 9
(b) 2 : 3
(c) 8 : 27
(d) 4 : 6
Ans: (c)

Question: In what proportion must water be mixed with spirit to gain 16 2/3 % % by selling it at cost price?
(a) 6:1
(b) 2:1
(c) 1:2
(d) 1:6
Ans: (d)

Question: Some persons contributed Rs. 1089. Each person gave as many rupees as they are in number. Find their number.
(a) 33
(b) 66
(c) 45
(d) 2
Ans: (a)

Question: Find the area of a right angled triangle whose hypotenuse is 10 cm and base 8 cm.
(a) 48 sq.cm
(b) 34 sq.cm
(c) 24 sq.cm
(d) 42 sq.cm
Ans: (c)

Question: 20% of 5 + 5% of 20 =
(a) 5
(b) 2
(c) 6
(d) 21
Ans: (b)

Question: 7/8 th of a number exceeds its 7/16 th by 84. Find 3/4 th of the number.
(a) 144
(b) 192
(c) 138
(d) 204
Ans: (a)

Question: A thief steals a car at 1.30 pm and drives it at 40 km/hr. The theft is discovered at 2 pm and the owner sets off in another car at 50 km/hr. He will overtake the thief at
(a) 3.30 pm
(b) 4 pm
(c) 4.30 pm
(d) 6 pm
Ans: (b)

Question: Find the greatest number that will divide 197 and 269 and leaves 5 as remainder in each case?
(a) 7
(b) 8
(c) 9
(d) 10
Ans: (b)

Question: Prashanth buys mangoes at 3 per kg.for Rs 21 and sells them at 5 kg. for Rs.50. To earn Rs. 102 as profit, he must sell
(a) 34 kg
(b) 52 kg
(c) 26 kg
(d) 32 kg.
Ans: (a)

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Question: A and B working together can do a piece of work in 10 days, B alone could do it in 20 days. Supposing B works at it for 4 days, in how many days A alone could finish the remaining work?
(a) 9 days
(b) 12 days
(c) 16 days
(d) 10 days
Ans: (c)

Question: The maximum value of sin x + cos x is
(a) 0
(b) 1
(c) √2
(d) 2
Ans: (c)

Question: A car starting from airport reaches the bus station in 45 mts with an average speed of 40 km/hr. If the speed of the car is increased by 10 km/hr. how much less time will the car take to cover the distance?
(a) 19 mts
(b) 10 mts
(c) 9 mts
(d) 24 mts
Ans: (c)

Question: If the volume of a sphere is divided by its surface area, the result is 27 cm. The radius of the sphere in cm is ….
(a) 9
(b) 27
(c) 81
(d) 243
Ans: (c)

Question: The volume of a sphere is 4851 cm. Its surface area is
(a) 1286 cm
(b) 1386 cm
(c) 1486 cm
(d) None of these
Ans: (b)

Question: A sum of money is to be divided among A, B and C in the ratio of 3:7:6. If the difference in the shares of A and B is Rs 2,700 what is the share of C?
(a) Rs 4050
(b) Rs 4000
(c) Rs 4100
(d) Rs 4500
Ans: (a)

Question: The H.C.F. and L.C.M. of a pair of numbers are 12 are 924 respectively. How many such distinct pairs are possible?
(a) 1
(b) 2
(c) 3
(d) 4
Ans: (2)

Question: At present, Madhu is 15 years older than Kamal. After 5 years Kamal will be 10 years old. What is Madhu’s present age?
(a) 25 years
(b) 10 years
(c) 20 years
(d) Data inadequate
Ans: (c)

Question: (12.11) + (?)2 = 732.2921
(a) 20.2
(b) 24.2
(c) 23.1
(d) 19.2
Ans: (b)

Question: 486 + 32 × 25 — 59 = ?
(a) 514
(b) 528
(c) 599
(d) 507
Ans: (b)

Question: 15 litres of a mixture contains 20% alcohol and the rest water. If 3 litres of water be mixed in it, the percentage of alcohol in the new mixture will be
(a) 17
(b) 16 2/3
(c) 18 ½
(d) 15
Ans: (b)

Question: 1256 + 4813 + 765 = ?
(a) 5642
(b) 5876
(c) 6788
(d) 6834
Ans: (d)

Question: Ram and Vilas can do a piece of work in 14 days and 21 days respectively. They start the work together but after some days, Ram leaves the job. Vilas alone does the remaining work in 6 days. Find after how many days does Ram leave the job?
(a) 7 days
(b) 6 days
(c) 8 days
(d) 9 days
Ans. (b)

Question: Find the missing numbers?

12 47 21
10 52 4
64 ? 24

(a) 16
(b) 40
(c) 62
(d) 83
Ans: (d)

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Question: A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds had he in all?
(a) 9
(b) 18
(c) 27
(d) 36
Ans: (a)

Question: Ratio of two numbers is 5 : 7. If the LCM of those two numbers be 140 then. HCF of those two numbers is
(a) 4
(b) 14
(c) 15
(d) 20
Ans: (a)

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