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Worksheets

TCS - NQT Mock Test_2022

Total questions: 40

Worksheet time: 40mins

Name
Class
Date
1.

What is the supplement of 80 deg?

a)

100

b)

60

c)

75

d)

90

2.

Given the perimeters of 2 similar triangles ABC and PQR are 36cm and 24cm respectively. Find AB if PQ = 10cm

a)

30 cm

b)

15 cm

c)

45 cm

d)

90 com

3.

The volumes of two cones are in the ratio of 1 :10 and the radii of the cones are in the ratio of 1 : 2, what is the ratio of their vertical heights?

a)

1:5

b)

3:5

c)

4:5

d)

2:5

4.

The various number of solutions (x, y, z) to the equation x – y – z = 25, where x, y, and z are positive integers such that x ≤ 40, y ≤ 12, and z ≤ 12 is

a)

101

b)

87

c)

99

d)

56

5.

How many integers of 'n', will be the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied?

a)

10

b)

11

c)

12

d)

13

6.

Ratio of the present age of Bala to that of Arnav is 3:11, Arnav is 12 years younger than Rahim. Rahim's age after 7 years will be 85 years.

Quantity I: The present age of Bala's father, who is 25 years older than Bala

Quantity II: Rahim's present age

a)

Quantity I > Quantity II

b)

Quantity I = Quantity II

c)

Quantity I < Quantity II

d)

Quantity I = Quantity II or relation cannot be established

7.

The length of a rectangle wall is 3/2 times of its height. The area of the wall is 600 sq. meter

Quantity I: Height of the wall

Quantity II: Length of the wall

a)

Quantity I = Quantity II

b)

Quantity I > Quantity II

c)

Quantity I < Quantity II

d)

Quantity I = Quantity II or relation cannot be established

8.

Out of 14 applicants for a job, there are 6 women and 8 men. It is desired to select 2 persons for the job.

Quantity I: Probability of selecting no woman

Quantity II: Probability of selecting at least one woman

a)

Quantity I < Quantity II

b)

Quantity I = Quantity II

c)

Quantity I < Quantity II

d)

Quantity I = Quantity II or relation cannot be established

9.

Determine the fifteenth term of an arithmetic progression whose first term is 2 and the common difference is 3.

a)

42

b)

44

c)

46

d)

48

10.

In arithmetic series consisting of 51 terms, the sum of the first three terms is 65 and the sum of the middle three terms is 129. What is the first term and the common difference of the series?

a)

187/9, 8/9

b)

185/9, 7/9

c)

184/9, 6/9

d)

183/9, 5/9

11.

4 angles of a quadrilateral are in GP. Whose common ratio is an integer. Two of the angles are acute while the other two are obtuse. The measure of the smallest angle of the quadrilateral is, _____

a)

20

b)

22

c)

24

d)

26

12.

If Sn denotes the sum of the first 'n' terms in an AP and S1:S4 = 1:10, Then the ratio of first term to fourth term is:

a)

1:4

b)

1:3

c)

2:4

d)

2:3

13.

What is the 16th term of HP if the 6th and 11th term of HP are 10 and 18, respectively.

a)

80

b)

90

c)

100

d)

110

14.

Determine 20th term & nth term, if 7th term of an H.P. is 1/10 and 12th term is 1/25.

a)

1/49, 1/(2n-11)

b)

1/49, 1/(3n-11)

c)

2/49, 1/(n-11)

d)

2/49, 1/(3n-11)

15.

Given series has 3, 6, 12, 24, ............., 384, Find how many terms are there in GP.

a)

8

b)

9

c)

10

d)

11

16.

After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. What is the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.

a)

1020

b)

1040

c)

1060

d)

1080

17.

Sum of three numbers in AP is -3, and their product is 8. What are these numbers?

a)

1, 2, 4

b)

-1, 0, 4

c)

-4, -1, 2

d)

-4, -2, -1

18.

If log 27 = 1.431, then the value of log 9 is:

a)

0.934

b)

0.954

c)

0.968

d)

0.988

19.

If logX/(a+ ab + b2) = log Y/(b+ bc + c2) = logZ/(c+ ca + a2), then Xa - b.Yb - c. Zc - a =?

a)

-1

b)

0

c)

1

d)

2

20.

If log2 = 0.3010 and log3 = 0.477, then number of digits in 6485 is?

a)

12

b)

13

c)

14

d)

15

21.

In each of the following questions, arrange the given words in a meaningful sequence and thus find the correct answer from alternatives.

Choose the CORRECT option in which given words in meaningful sequence:

1. Key

2. Door

3. Lock

4. Room

5. Switch on

a)

5, 1, 2, 4, 3

b)

1, 3, 2, 4, 5

c)

1, 3, 2, 4, 5

d)

1, 2, 3, 4, 5

22.

The Education Secretary said that it was extremely necessary that the professional researchers alone with practicing school teachers conduct practical research. Conclude the statement with __________

a)

School education is quite a specialized field and so long as teachers are not trained, the standard of education cannot be qualitatively better

b)

Education secretary was speaking to the school students

c)

Professional researchers are quite aware of the problems related to the school education

d)

Practicing teachers know the techniques of research

23.

Imagine that you have 26 constants, labeled A through Z. Each constant is assigned a value in the following way: A = 26^1, B = 25^2, C = 24^3, D = 23^2 and so on till Z = 1^26. Find the exact numerical value to the following equation: (Y - A) (Y - B) (Y - C) ... (Y - Z).

a)

-1

b)

0

c)

1

d)

2

24.

Samantha had twenty-one hens, all but eleven died, how many hens is she left with?

a)

9

b)

10

c)

11

d)

12

25.

High density of water flow is gushing through a pipe in narrows at the outlet. At which point, A, B, C or D will the water flow fastest?

a)

A

b)

B

c)

C

d)

D

26.

On Monday, Anitha ate half parantha. He ate half of what was left on Tuesday and so on. He followed this pattern for one week. How much of the parantha would she have eaten during the week?

a)

99.22%

b)

98.22%

c)

97.22%

d)

96.22

27.

The organization aims to providing with satellite-based data on climate-relevent information with highest possible levels of accuracy and realiability

a)

to providing with

b)

to provide

c)

to the provision of

d)

No correction required

28.

Underwater archaeology has huge potential, as it could be a time-consuming and costly way to study the past.

a)

as it is

b)

but it is

c)

since it could be

d)

No correction required

29.

Denizens of the Madras Zoo, on October 15, joined in the country-wide celebrations of the Wild-Life-Week, when some of them were taking out in a six-mile long procession through the prominent through fares of the city.

a)

were taken out in

b)

are taken out on

c)

were taken out on

d)

was taken out on

30.

Spotting the error in the given statement:

The house / has been / built / in 2012

a)

the house

b)

has been

c)

built

d)

in 2012

31.

A millionaire bought a job lot of hats 1/4 of which were brown. The millionaire sold 2/3 of the hats including 4/5 of the brown hats. What fraction of the unsold hats were brown.

a)

1/60

b)

1/15

c)

3/20

d)

3/5

32.

How many integers n greater than and less than 100 are there such that, if the digits of n are reversed, the resulting integer is n+9 ?

a)

5

b)

6

c)

7

d)

8

33.

In a murder case there are four suspects P, Q, R, S. Each of them makes a statement. They are

p: "I had gone to the theatre with S at the time of the murder".

q: "I was playing cards with P at the time of the murder".

r: "Q didn't commit the murder".

s: "R is not the murderer".

Assuming the only one of the above statement is false and that one of them is the murderer, who is the murderer?

a)

P

b)

Q

c)

R

d)

S

34.

Mohan earned twice as much as Deep. Yogesh earned Rs. 3/- more than half as much as deep. If the amounts earned by Mohan, Deep, Yogesh are M, D, Y respectively. Which of the following is the correct ordering of these amounts?

a)

M < D < Y

b)

M < Y < D

c)

D < M < Y

d)

it cann't be determined from the information given

35.

If taxi fares were Rs. 1.00 for the first 1/5 mile and Rs. 0.20 for each 1/5 miles thereafter. The taxi fare for a 3-mile ride was

a)

1.56

b)

2.40

c)

3.80

d)

4.20

36.

An investor purchased a shares of stock at a certain price. If the stock increased in price Rs. 0.25 per share and the total increase for the X shares was Rs. 12.50, How many shares of stock had been purchased?

a)

25

b)

50

c)

75

d)

100

37.

Arrange the words given below in a meaningful sequence.

1. Key

2. Door

3. Lock

4. Room

5. Switch on 

a)

1, 3, 2, 4, 5

b)

1,2,3,4,5

c)

2,3,4,5,1

d)

3,4,5,1,2

38.

Arrange the words given below in a meaningful sequence.

   1. Income    2. Status    3. Education    4. Well-being    5. Job

a)

1, 2, 3, 4, 5

b)

3, 5, 1, 2, 4

c)

2, 3, 4, 5, 1

d)

5, 3, 2, 1, 4

39.

Below in each of the questions are given two statements I and II. These statements may be either independent causes or may be effects of independent causes or a common cause. One of these statements may be the effect of the other statements. Read both the statements and decide which of the following answer choice correctly depicts the relationship between these two statements.

I. Standard of living among the middle class society is constantly going up since part of few years.

II. Indian Economy is observing remarkable growth.

A.Statement I is the cause and statement II is its effect.

B.Statement II is the cause and statement I is its effect.

C.Both the statements I and II are independent causes.

D.Both the statements I and II are effects of independent causes.

E.Both the statements I and II are effects of some common cause.

a)

B

b)

A

c)

C

d)

E

e)

D

40.

In each of the following questions find out the alternative which will replace the question mark.

Ornithologist : Bird :: Archaeologist : ?

a)

Islands

b)

Archaeology

c)

Mediators

d)

Aquatic