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TCS_all_pdf_merged.pdf NIST College Banepa TRIGONOMET 223355

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2020 - TCS NQT Contents SLOT 1........................................................................................................ 1 NUMERICAL ABILITY................................................................................... 1 VERBAL ABILITY......................................................................................... 8 LOGICAL ABILITY...................................................................................... 11 PROGRAMMING LOGIC.............................................................................. 16 CODING..................................................................................................... 19 SLOT 2...................................................................................................... 25 NUMERICAL ABILITY................................................................................. 25 VERBAL ABILITY....................................................................................... 38 REASONING ABILITY................................................................................. 47 PROGRAMMING LOGIC:............................................................................. 49 CODING..................................................................................................... 52 SLOT 3...................................................................................................... 54 NUMERICAL ABILITY................................................................................. 54 VERBAL ABILITY....................................................................................... 62 REASONING ABILITY................................................................................. 69 PROGRAMMING LOGIC.............................................................................. 82 CODING..................................................................................................... 85 SLOT 1: NUMERICAL ABILITY Question 1- What is the sum ( in RS) which when divided among X Y Z in the proportion 3:5:7 provides rupees 8000 more to Z then what it would have done to him when the proportion is 11 : 15 : 19? 1. 2. 3. 4. Answer: Question 2- If the positive square root of (root 90 + root 80 ) is multiplied by (root (2 -1)) and the product is raised to the power of four, the result would be 1. 100 2. 1600 3. 4. 10 Answer: 10 (use the TCS calculator directly to find the answer of this question) Question 3- A man has to travel 50 km in 2 hours. He could cover 20 km in one hour, and then had to stop for 10 minutes for refueling. By What factor should he increase his speed with reference to that during the first hour so as to be able to complete the journey as per schedule? 1. 1.5 2. 1.8 3. 1.2 4. 2.4 Answer: 1.8 Question 4- X is four times as efficient as Y in respect of doing a particular work. Working together they complete the work in 16 days. In how many days y working alone will be able to half the work? 1. 80 2. 20 3. 40 4. 60 Efficiency of X = 4a Efficiency of Y = a Time taken by both to complete a work = 16 days 1/4a + 1/a = 1/16 (1+4)/4a = 1/16 5/4a = 1/16 a = 20 Hence X will do the work in 20 days And Y will do the work in 80 days Thus Y will do half of work in 40 days Question 5- If5^x 3^y = 225 x 405, find the value of x ^2y -3x 1. 27 2. 81 3. 125 4. 25 Question 6- The collection of numbers which comprise the data given below is arranged in ascending order. (3,7,9, N - 1,15,18,19,20) If the median of the data is 12.5, what is the value of N? 1. 10.5 2. 11.5 3. 11 4. 12 Answer - 11 Median of the even data = (sum of middle terms) / 2 = [(N - 1) + 15] / 2 = 12.5 Question 7 - How much percentage is (0.025% of 240% of 1.5) of 0.9? 1. 10 2. 0.01 3. 0.1 4. 1

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2020 - TCS NQT

Contents
SLOT 1 ........................................................................................................ 1
NUMERICAL ABILITY................................................................................... 1
VERBAL ABILITY ......................................................................................... 8
LOGICAL ABILITY...................................................................................... 11
PROGRAMMING LOGIC .............................................................................. 16
CODING ..................................................................................................... 19
SLOT 2 ...................................................................................................... 25
NUMERICAL ABILITY................................................................................. 25
VERBAL ABILITY ....................................................................................... 38
REASONING ABILITY ................................................................................. 47
PROGRAMMING LOGIC: ............................................................................. 49
CODING ..................................................................................................... 52
SLOT 3 ...................................................................................................... 54
NUMERICAL ABILITY................................................................................. 54
VERBAL ABILITY ....................................................................................... 62
REASONING ABILITY ................................................................................. 69
PROGRAMMING LOGIC .............................................................................. 82
CODING ..................................................................................................... 85




SLOT 1:
NUMERICAL ABILITY
Question 1- What is the sum ( in RS) which when divided among X Y Z in the
proportion 3:5:7 provides rupees 8000 more to Z then what it would have done to
him when the proportion is 11 : 15 : 19?
1. 180000
2. 120000
3. 175000
4. 135000
Answer: 180000
Question 2- If the positive square root of (root 90 + root 80 ) is multiplied by
(root (2 -1)) and the product is raised to the power of four, the result would be
1. 100
2. 1600
3. 11520000
4. 10
Answer: 10 (use the TCS calculator directly to find the answer of this question)

,Question 3- A man has to travel 50 km in 2 hours. He could cover 20 km in one
hour, and then had to stop for 10 minutes for refueling. By What factor should he
increase his speed with reference to that during the first hour so as to be able to
complete the journey as per schedule?
1. 1.5
2. 1.8
3. 1.2
4. 2.4
Answer: 1.8
Question 4- X is four times as efficient as Y in respect of doing a particular work.
Working together they complete the work in 16 days. In how many days y working
alone will be able to half the work?
1. 80
2. 20
3. 40
4. 60
Efficiency of X = 4a
Efficiency of Y = a
Time taken by both to complete a work = 16 days
1/4a + 1/a = 1/16
(1+4)/4a = 1/16
5/4a = 1/16
a = 20
Hence X will do the work in 20 days
And Y will do the work in 80 days
Thus Y will do half of work in 40 days
Question 5- If5^x 3^y = 225 x 405, find the value of x ^2y -3x
1. 27
2. 81
3. 125
4. 25
Question 6- The collection of numbers which comprise the data given below is
arranged in ascending order.
(3,7,9, N - 1,15,18,19,20)
If the median of the data is 12.5, what is the value of N?
1. 10.5
2. 11.5
3. 11
4. 12
Answer - 11
Median of the even data = (sum of middle terms) / 2
= [(N - 1) + 15] / 2 = 12.5
Question 7 - How much percentage is (0.025% of 240% of 1.5) of 0.9?
1. 10
2. 0.01
3. 0.1
4. 1

,Question 8 - After purchasing two copies of the same book, X sold them
respectively at 0.8 and 1.4 times their cost prices. What was the percentage gain
earned or loss incurred by X?
1. 10% loss
2. 5% gain
3. 10% gain
4. 5% loss
Answer: 10% gain
Let the C.P of each copy be Rs 100
ATQ one copy is sold at 0.8 x 100 = 80
One copy is sold at 1.4 x 100 = 140
Total money spent in buying the copies = Rs 200
Total money earned after selling the copies = Rs (80 + 140) = Rs 220
Total gain of Rs 20. Therefore gain% = 10%.

Question 9: A file of cadets consisting of ten rows and five columns measures 420
m in length along the direction of their marching. How much time (in hours and
minutes) would it take to march for a stretch of 3 km, if the stride of each cadet is
80 cm and he takes 57 strides per minute?
1. 1 hr 10 min
2. 1 hr 20 min
3. 1 hr 24 min
4. 1 hr 15 min
Question 10:Two vessels X and Y of capacities one and two litres respectively are
completely filled with mixtures of two chemicals A and B. The ratio by volume of
the chemicals A and B in X and Y are 3:2 and 4:5 respectively. The contents of A
and B are mixed and the combination is kept in a vessel C of capacity of four litres.
How many litres of Chemical A should be added to the combination so as to make
the ratio of A to B equal to 1:1?
1. 1/270
2. 1/67
3. 1/68
4. Not visible
Question 11 -The diameter of a pizza is 30 cm. What is the area(in cm ^2 )of the
upper surface of a sector of the pizza whose arc length is 8 cm?
1. 120
2. 120π
3. 60π
4. 60
Answer: Area of sector when arc is given = (L x r)/2
Where L = length of arc and r = radius of the circle
Here L = 8 cm and r = 15 cm
Therefore, Area =(8 x15)/2 = 60cm2
Question 12- In a competitive exam, 5 marks are awarded for every correct answer
and for every wrong answer, 2 marks are deducted. Sathwik scores 32 marks in the
examination. If 4 marks had been awarded for each correct answer and 1 mark had

, been deducted for each incorrect answer, Sathwik would have scored 34 marks. If
Sathwik attempted all the questions, how many questions were there in the test ?
1. 14
2. 12
3. 20
4. 26
Answer: 26 Answer
In given Question:-
Correct answer =5x and wrong answer=2y
Correct answer =4x and wrong answer= 1y
So,
5x -2y = 32
4x-2y =34 ----- *2
Now
5x-2y =32
8x-4y=68
By solving
3x=36
x=12
Now to find ‗y‘
5*12 -2y =32
60 -2y= 32
y=14
By adding x+y
12+24 =26
Questions in the test =26
Question 13- An item was sold at a profit of 12% after giving a discount of 12.5%
on the list price. What would be the gain or loss percentage if a discount of 25% is
given on the list price ?
1. 2.5% gain
2. 2.5% loss
3. 4% loss
4. 4% gain
Answer - 4% loss
Question 14- The mean of a set of data is 5. What will be the mean if ten is
subtracted from each data ?
1. -5
2. 5
3. 10
4. -15
Answer = -5
Explanation
let the number of data be n
so sum of data = mean * number of data
=5n
now 10 is subtracted to each data
so now sum becomes = 5n-10n =-5n

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