TCS NQT

(Numerical Ability)
Previous Year Paper
1. A man has to travel 50 km in two hours. He could go 20 km in one hour and
then had to stop for 10 minutes for refueling. By what factor should he
increase his speed concerning that of the first hour to be able to complete the
journey as per schedule?

A. 1.2
B. 1.8
C. 2.4
D. 1.5

2. If (x + 10)% of 240 is 60% more than x% of 180, then 15% of (x + 20) is what
percent less than 25% of x?

A. 16
B. 15
C. 15 (1/2)
D. 19 (1/21)

3. Five consecutive positive even numbers are arranged in ascending order. The sum
of squares of 3rd number and 5th number is equal to 400. Then the average of the five
numbers is

A. 8
B. 10
C. 12
D. 14

4. A fruit seller purchased 32 kg grapes for Rs. 960. He dried them to make
raisins and would be able to sell raisins for Rs. 65 per kg. He can get 800 gm of
raisins from 1 kg of grapes. Find profit %.

A. Profit 73.33%
B. Loss 73.33%
C. Profit 26.67%
D. Loss 26.67%

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5. What is the sum (in RS) which divided among X Y Z in the proportion 3 ∶ 5 ∶ 7
provides rupees 8000 more to Z than what it would have done to him when the
proportion is 11 ∶ 15 ∶ 19?

A. 180000
B. 120000
C. 175000
D. 135000

6. Elan, Jeff, and Bill together started the business where Elan invested $ 2500 for 8
months, Jeff invested $ 2000 for 12 months and Bill invested $ 6000 for 4 months. If
the profit earned from the business is $1360, then find the share of Jeff.

A. $ 360
B. $ 420
C. $ 400
D. $ 480

7. The marks scored by a student out of 100 in English and Mathematics at four
consecutive monthly tests held in 2019 are presented through a Bar Graph shown
below. In each case the marks is a multiple of five

In which month is the difference of marks scored in the two subjects are highest?

A. Apr
B. Mar
C. Feb
D. Jan

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8. In a class of 25 students, 12 have taken mathematics, 8 have taken mathematics
and computer science.The number of students who have taken computer science but
NOT mathematics is:

A. 13
B. 8
C. 4
D. 17

9. What is the mean proportional (MP) between the MPs of (2/7 & 32/343) and (2 &
1/5000)?

A. 3/35
B. 4/35
C. 2/35
D. 2/175

10. Three bells ring simultaneously at 11 a.m. They ring at regular intervals of 20
min., 30 min., 40 min. respectively. The time when all the three bells ring together
next is

A. 2 p.m.
B. 1 p.m.
C. 1:15 p.m.
D. 1:30 p.m.

11. When a number is divided by 12, 16, 18 and 21 it will leave a remainder of 7 in
each case find the third smallest number of this type.

A. 1015
B. 2023
C. 3031
D. 4039

12. If 5x 3y = 225 × 405,find the value of x2y - 3x

A. 27
B. 81
C. 125
D. 25

13. If six digits number 25a64b is divisible by 11. Find the value of (a – b).

A. 5
B. 4
C. 3
D. 7

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14. The collection numbers below are in ascending order (3, 7, 9, N-1, 15, 18, 19, 20) if
the median of data is 12.5, what is the value of n?

A. 11
B. 11.5
C. 12
D. 10.5

15. A work can be completed by A, B and C in 12 days,15 days and 24 days

respectively. A started the work and worked for 2 days then B joined A and
together they worked for 5 days. C completed the remaining work alone. Find the
time taken by C to complete remaining work.

A. 1 days
B. 2 days
C. 5 days
D. 3 days

16. Pipe X, Y and Z can fill a cistern 8 hrs, 12 hrs and 24 hrs respectively. All three
began to fill the cistern together but X and Y left 4 hrs and 3 hrs respectively before
filling the cistern. What is the total time taken by all of them to fill the cistern?

A. 10 hrs
B. 7 hrs
C. 3 hrs
D. 14 hrs

17. What is the mean deviation of the data 8, 9, 12, 15, 16, 20, 24, 30, 32, 34?

A. 10.2
B. 9.6
C. 8
D. 0

18. How much percentage is (0.025% of 240% of 1.5%) of 0.9?

A. 0.01
B. 10
C. 0.1
D. 1

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19. Dalip can row 42 km downstream in 2 hours and the same distance
upstream in 2 hours and 48 minutes. How much time will he take to row 31.5
km downstream and 22.5 km upstream?

A. 3 h 15 m
B. 3h
C. 2 h 50 m
D. 3h5m

20. A student goes to college at the rate of 5 km/h and reaches 12 minutes late. If he
travels at the speed of 8 km/h he is 15 minutes early. Find the distance between his
college and his starting point.

A. 7 km
B. 9 km
C. 5 km
D. 6 km

21. If the positive square root of (√90 + √80) is multiplied by (√2 - 1) and the
product is raised to the power of four, the result would be

A. 100
B. 1600
C. 11520000
D. 10

22. The average of 41 numbers is 62. The average of the first 21 numbers is 56
and that of the last 21 numbers is 70. If the 21st number is removed, then what
will be the average of the remaining numbers?

A. 64.25
B. 66.75
C. 68.85
D. 60.95

23. In a competitive exam, 5 marks are awarded for every correct answer, and for
every wrong answer 2 marks are deducted. Sathwik scored 32 marks in this
examination. If the 4 marks had been awarded for each correct answer and 1 mark
are deducted for each incorrect answer, sathwik should have scored 34 marks. If
Sathwik attempted all the question, how many question were there in the test?

A. 12
B. 26
C. 14
D. 20

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24. Calculate the ratio in which Jeff Bezos mix two varieties of flour costing Rs. 70
per kg and Rs. 75 per kg so that he may gain of 10%. When the selling price of the
mixture is Rs. 79.20 per kg.

A. 3:2
A. 3:5
C. 3:4
D. 4:5

25. A sum invested on simple interest grows to Rs. 22500 and Rs. 25500 in
seven and nine years respectively. What is the rate percentage of the
interest?

A. 9.6
B. 13.5
C. 12.5
D. 7.5

26. The work done by (x - 1) men in (x + 1) days and the work done by (x + 1) men in
(x + 2) days are in the ratio 5 ∶ 6. The value of x is:

A. 16
B. 10
C. 8
D. 6

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 ANSWERS

1. Answer - A
2. Answer - A
3. Answer - C
4. Answer - A
5. Answer - A
6. Answer - D
7. Answer - A
8. Answer - A
9. Answer - A
10. Answer - B
11. Answer - C
12. Answer - A
13. Answer - A
14. Answer - A
15. Answer - B
16. Answer - B
17. Answer - A
18. Answer - A
19. Answer - B
20. Answer - D
21. Answer - A
22. Answer - D
23. Answer - A
24. Answer - A
25. Answer - A
26. Answer - A

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