TCS Aptitude Sample Paper

In this section, we have provided Aptitude Test Question and Answers with detailed explanation. Before going to Attend for the TCS Recruitment candidates should refer the submitted sample questions to get the best result.

1. Excluding stoppages, the speed of a bus is 54 km/hr, and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?

  1. 9
  2. 10
  3. 12
  4. 20

Answer: Option 2
Solution:
Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = 9/54 * 60 = 10 min.


2. A jogger running at 9 km/hr alongside a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?

  1. 3.6 sec
  2. 18 sec
  3. 36 sec
  4. 72 sec

Answer: Option 3
Solution:
Speed of train relative to jogger = 45 – 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec.


3. Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish work together and get Rs. 150. What is the share of Kim?

  1. Rs. 30
  2. Rs. 60
  3. Rs. 70
  4. Rs. 75

Answer: Option 2
Solution:
Kim’s wages: David’s wages = Kim’s one day work: David’s 1-day work = 1/3: 1/2 = 2:3
Kim’s share = 2/5 * 150 = Rs. 60


4. A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit, and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?

  1. 53000
  2. 58000
  3. 50000
  4. 59000

Answer: Option 4
Solution:
Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.
An amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.
Let ‘P’ be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)
Total income of B = only his share from the remaining profit = ‘P,’ as A and B share the remaining profit equally.
Income of A = Twice the income of B
(2500 + 18000 + P) = 2(P)
P = 20500
Total profit = 2P + 18000
= 2*20500 + 18000 = 59000


5. Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit’s present salary?

  1. Rs. 17,000
  2. Rs. 20,000
  3. Rs. 25,500
  4. None of these

Answer: Option 4
Solution:
Let the starting salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.
Then, (2x + 4000)/(3x + 4000) = 40/57
6x = 68000 => 3x = 34000
Sumit’s present salary = (3x + 4000) = 34000 + 4000 = Rs. 38,000.


6. A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?

  1. 6.24 km
  2. 6 km
  3. 5.76 km
  4. 5.66 km

Answer: Option 3
Solution:
M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76


7. At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?

  1. 4%
  2. 5 2/3 %
  3. 6%
  4.  6 2/3 %

Answer: Option 1
Solution:
Let sum = x. Then, S.I. = 2x/5, Time = 10 years.
Rate = (100 * 2x) / (x * 5 * 10) = 4%


8. If the area of a circle is 616 sq cm then its circumference?

  1. 78 m
  2.  88 m
  3. 75 m
  4. 70 m

Answer: Option 2
Solution:
22/7 r2 = 616 => r = 14
2 * 22/7 * 14 = 88


9. The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is?

  1. 35.2
  2. 36.1
  3. 36.5
  4. 39.1

Answer: Option 3
Solution:
Correct sum = (36 * 50 + 48 – 23) = 1825.
Correct mean = 1825/50 = 36.5


10. The H.C.F and L.C.M of two numbers are 84 and 21, respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is?

  1. 12
  2. 48
  3. 84
  4. 108

Answer: Option 3
Solution:
Let the numbers be x and 4x. Then, x * 4x = 84 * 21 x2 = (84 * 21)/4 = x = 21.
Hence, larger number = 4x = 84.


11. If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is?

  1. 12
  2. 28
  3. 160
  4. 180

Answer: Option 3
Solution:
Let the numbers be x and y.
Then, x + y = 20 and x – y = 8
x2 – y2 = (x + y)(x – y) = 20 * 8 = 160.


12. Pipes A and B can fill a tank in 5 and 6 hours, respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?

  1. 1 13/17 hours
  2. 2 8/11 hours
  3. 3 9/17 hours
  4. 4 1/2 hours

Answer: Option 3
Solution:
Net part filled in 1 hour = 1/5 + 1/6 – 1/12 = 17/60
The tank will be full in 60/17 hrs, i.e., 3 9/17 hrs.


13. The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?

  1. 2
  2. 2 1/2
  3. 3
  4. 4

Answer: Option 1
Solution:
Amount = (30000 + 4347) = Rs. 34347
Let the time be n years. Then,
30000(1 + 7/100)n = 34347
= (107/100)n = 34347/30000 = (107/100)2
n = 2 years.


14. A cylinder and a cone have the same height and same radius of the base. The ratio between the volumes of the cylinder and cone is?

  1. 1:3
  2. 3:1
  3. 1:2
  4. 2:1

Answer: Option 2
Solution: 3:1


15. Find the one which does not belong to that group?

  1. Baseball
  2. Boxing
  3. Chess
  4. Wrestling

Answer: Option 1
Solution: Boxing, Chess, Wrestling, and Squash are individual events, while Baseball is a team event.


16. A fair price shopkeeper takes a 10% profit on his goods. He lost 20% of goods during the theft. His loss percent is?

  1.  8
  2. 10
  3. 11
  4. 12

Answer: Option 4
Solution:
Suppose he has 100 items. Let C.P. of each piece be Re. 1.
Total cost = Rs. 100. Number of items left after theft = 80.
S.P. of each item = Rs. 1.10
Total sale =  1.10 * 80 = Rs. 88
Hence, loss % = 12/100 * 100 = 12%


17. Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is?

  1. 54
  2. 72
  3. 105
  4. 108

Answer: Option 4
Solution:
Let the present ages of the father and son are 2x and x years, respectively.
Then, (2x – 18) = 3(x – 18) => x = 36
Required sum = (2x + x) = 108 years.


18. In an office, there are 6400 employees, and 65% of the total employees are males. 25% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?

  1. 1040
  2. 2080
  3. 3120
  4. 4160

Answer: Option 3
Solution:
Number of male employees = 6400 * 65/100 = 4160
Required number of male employees who are less than 50 years old = 4160 * (100 – 25)%
= 4160 * 75/100 = 3120.


19. The sum of four consecutive even numbers is 292. What would be the smallest number?

  1. 74
  2. 76
  3. 70
  4. 68
  5. None of these

Answer: Option 3
Solution:
Let the four consecutive even numbers be 2(x – 2), 2(x – 1), 2x, 2(x + 1)
Their sum = 8x – 4 = 292 => x = 37
Smallest number is: 2(x – 2) = 70.


20. I. a2 – 9a + 20 = 0,
II. 2b2 – 5b – 12 = 0 to solve both the equations to find the values of a and b?

  1. If a < b
  2. If a = b
  3. If the relationship between a and b cannot be established
  4. If a > b
  5. If a = b

Answer: Option 4
Solution:
I. (a – 5)(a – 4) = 0=> a = 5, 4
II. (2b + 3)(b – 4) = 0
=> b = 4, -3/2 => a = b


21. 6.4 * 1.25 = (?)3

  1. 1
  2. 4
  3. 2
  4. 3
  5. 5

Answer: Option 3
Solution:
8 = (?)3
=> ?3 = 23 => ? = 2


22. The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of whitewashing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?

  1. Rs. 4800
  2. Rs. 3600
  3. Rs. 3560
  4. Rs. 4530
  5. None of these

Answer: Option 4
Solution:
Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) – (6 * 3) – 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 5 = Rs. 4530


23. Four of the following five are alike in a certain way, and so form a group. Which is the one that does not belong to that group?

  1. Food: Hunger
  2. Water: Thirst
  3. Air: Suffocation
  4. Talent: Education
  5. Leg: Lame

Answer: Option 4
Solution:
-NA-


24. Four of the following five are alike in a certain way, and so form a group. Which is the one that does not belong to that group?

  1. 226
  2. 290
  3. 360
  4. 170
  5. 122

Answer: Option 3
Solution:
After a close look you will get the exact 360 each number is one more than square of a natural number, i.e.,226 = 152+ 1 ; 290 = 172+ 1 ; 170 = 132+ 1 ; 122 = 112+ 1.


25. Choose the correct alternative that will continue the same pattern and fill in the blank spaces?

19, 2, 38, 3, 114, 4, (….)

  1. 228
  2. 256
  3. 352
  4. 456

Answer: Option 4
Solution:
The sequence is a combination of two series
I. 19, 38, 114, (….)     II. 2, 3, 4
The pattern followed in I is *2, *3, …
Missing number = 114 * 4 = 456.


26. In a certain code language, the word DISTANCE is written as FLUWCQEH. How will the word NUMERALS be written in that code language?

  1. PXNHTDNV
  2. PXOITDNV
  3. PWOHTDNV
  4. PXOHTDNV
  5. None of these

Answer: Option 4
Solution:
Odd-positioned letters are coded as the positions forward and even-positioned three areas forward.


27. Study the following information and answer the questions given below?

(i) ‘P * Q’ means ‘Q is the mother of Q.’
(ii) ‘P + Q’ means ‘P is the father of Q.’
(iii) ‘P – Q’ means ‘P is the brother of Q.’
(iv) ‘P ÷ Q’ means ‘Q is the sister of P.’

Which of the following means ‘M is the niece of T’?

  1. M ÷ D + T * R
  2. T – D + R ÷ M
  3. T * D + R ÷ M
  4. Cannot be determined
  5. None of these

Answer: Option 2
Solution
T(+) —- D(+)
|
R —- M(-)


28. After 4 p.m. on a sunny day when Ramesh was returning from his school, he saw his uncle coming in the opposite direction. His uncle talked to him for some time. Ramesh saw that the shadow of his uncle was to his right side. Which direction was his uncle facing during their talk?

  1. North
  2. South
  3. East
  4. Data inadequate
  5. None of these

Answer: Option 2
Solution:
After 4 p.m., the shadow will be towards East. Now, East is to the right of Ramesh. So Ramesh faces North. And his uncle, who is opposite him, faces South.


29. QLR, JPD, RNU, GNC, SPX, DLB, __

  1. ARE
  2. AJA
  3. BTU
  4. KJE
  5. TRA

Answer: Option 5
Solution:
The other groups are in different series.
QLR, RNU, SPX are in one series. The pattern for the first letter:
Q+1, R+1, S+1, T
The pattern for the second letter:
L+2, N+2, P+2, R
The pattern for the third letter:
R+3, U+3, X+3, A
Hence, the next group in the series is TRA.


30. 6, 24, 60, 120, 210, __

  1. 432
  2. 343
  3. 368
  4. 322
  5. 336

Answer: Option 5
Solution:
6, 24, 60, 120, 210, __
=>23 – 2, 33 – 3, 43 – 4, 53 – 5, 63 – 6, __ The next number in the series is
73 – 7 = 336.