TCS QUESTION PAPER FOR APTITUDE TEST

TCS NEW PATTERN‐MODEL PAPER 1

Questions‐35 (Time: 60 Min)

[Note: 60 min time limit is for an online test which is computer based. So we believe 50 min is the logical time limit when taken as a paper based test.]

1) A person climbed a hill which was 200m high. The average speed while climbing was 24 m/sec and while coming down it was 30m/sec. What is the average speed (in kmph) of his journey?

A. 36                            B. 56

C. 76                            D. 96

2) The cost of making a robot is divided into cost of material, cost of assembling and cost of painting in the ratio of 5: 4:1. The cost of material is Rs.20,000. Find the total cost of making the robot (in Thousands)?

A. 20                            B. 30

C. 40                             D. 50       

3) John Mason wanted to build a wall. The length and height of the wall are 30m, 20m respectively. If he needs 35 bricks per m2 of wall area, how many bricks are needed to build 4 walls of same specification?

A. 72000                      B. 78000

C. 84000                      D. 90000

4) Rearrange the jumbled word ‘RAETPEKA’. What category does it belong to?

A. Bird                                     B. Animal

C. Vegetable               D. City

5) 4 men are standing in a queue in a supermarket. Their average weight is 43. One more man joins the queue and the average weight changes to 47. What is the weight of the new guy?

A. 43                            B. 53

C. 63                            D. 73

6) In a class of 40 students, 30 speak Hindi and 20 speak English. What is the lowest possible number of students who speak both the languages?

A. 0                              B. 10

C. 20                            D. 40

7) A can do a piece of work in 20 days, which B can do in 12 days. B works for 9 days and stops. How many days will A take to finish the remaining work?

A. 2                              B. 3

C. 4                              D. 5

8) One fast typist types some matter in 2hr and another slow typist types the same matter in 3hr. If both type together in how much time (in min) they will finish the same amount of matter.

A. 60                            B. 72

C. 84                            D. 96

9) The ratio of incomes of C and D is 3:4. The ratio of their expenditures is 4:5. Find the ratio of their savings if the savings of C is one fourth of his income?

A. 2/9                          B. 12/19

C. 16/9                        D. 9/16

10) Horse started to chase a dog which got relieved from its kennel two hrs ago. Horse started to run with average speed 22kmph. Horse crossed a 10m road and two small ponds of depth 3m, and it crossed two small streets of 1200m length. After travelling for 6 hrs, 2hrs after sunset it caught the dog. Compute the speed of dog in kmph?

A. 14.5                         B. 15.5

C. 16.5                         D. 18.5

11) Form 8 digit numbers by using 1,2,3,4,5. Repetition is allowed and they must be divisible by 4. How many such numbers can be formed?

A. 31250                      B. 46875

C. 62500                      D. 78125

12) The value of the below expression

square root (124²− 4×87×37) + square root (26²+ 4×63×37)

is

A. 50                            B. 100

C. 150                          D. 200

13) Which is the smallest number that divides 2880 and gives a perfect square?

A. 1                              B. 2

C. 5                              D. 6

14) A man was standing before a painting of a person. He says "Brothers and sisters I have none. The person’s father is my father's son and I love poems”. How is the person in the painting related to this man?

A. Self                          B. Son

C. Father                     D. Cannot say

15) In a large residential college campus, although the faculty is allowed to use motored vehicles, students are not allowed to drive motored vehicles. However, the faculty can use only small cars or bicycles. All the students are forced to use either bicycles or battery driven college vans or they have to walk long distances to go from their hostels to the classrooms or their departments. Hence all the students use bicycles. In the campus, only 2 wheelers or 4 wheelers are allowed. If on a Tuesday there are 190 wheels on the campus. How many bicycles can be there?

A. 10                            B. 20

C. 35                            D. 40

16) Two bowls are taken. First bowl contains water and second bowl contains tea in equal amounts. One spoon of water from 1st bowl is added to 2nd bowl and mixed well. Now a spoon of the mixture is taken from 2nd bowl and added to the 1st bowl. Which of the following statement(s) is valid now?

A. 1st bowl’s water volume is equal to 2nd bowl’s tea volume.

B. 1st bowl’s tea volume is equal to 2^nd  bowl’s water volume.

C. Both A and B are valid.

D. None of the above

17) Difference between two numbers is 4 and their product is 17. Find the sum of their squares.

A. 16                            B. 50

C. 68                            D. 84

18) Six persons of different ages are standing in a queue. After two years their average age will be 43. After a seventh person joined them, their current average age has become 45. Find the age of seventh person?

A. 39                            B. 49

C. 65                            D. 69

19) The ratio between the ages of two persons is 6:5 and sum of their ages is 77. How many years later will their ratio become 8:7?

A. 10                            B. 12

C. 14                            D. 16

20) A tailor has a piece of cloth which is 135m long and 35m wide. He wants to divide the cloth into pieces of length 35m and breadth 1m. If he took 7sec for cutting a piece, what is the time taken (in sec) for cutting the whole cloth into required pieces?

A. 808                          B. 908

C. 938                          D. 838

21) A is 4 times as efficient as B. A and B both work together to complete a task in 8 days. Find in how many days A alone and B alone can complete the task (respectively)?

A. 5, 20                        B. 15, 60

C. 10, 40                      D. 40, 10

22) The total expense of a boarding house is partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 boarders.

A. 65                            B. 55

C. 50                            D. 45

23) A triangle is made from a rope. The three sides of a triangle are: 18cm, 18cm, 28 cm and this triangle is converted into a square. So what will be the area of the square generated?

A. 128 cm²                                     B. 256cm²

C. 512cm²                                       D. 640cm²

24) Fruits are to be distributed amongst 9 children from a basket of fruits containing 4 mangoes, 3 apples and 2 oranges. Each child has to get one fruit. In how many ways can the fruits be distributed?

A. 450                          B. 630

C. 720                          D. 960

25) There are 4 balls and 4 boxes of colors yellow, pink, red and green. Red ball is in a box whose color is same as that of the ball in a yellow box. Red box has green ball. In which box do you find the yellow ball?

A. Green                      B. Pink

C. Yellow                     D. None of these

26) A bag contains 20 yellow balls, 10 green balls, 5 white balls, 8 black balls, and 1 red ball. How many minimum balls one should pick out to make sure that he gets at least 2 balls of same color?

A. 2                              B. 5

C. 6                              D. 8

27) One person had three children. He bought some fruits for Rs.7 and distributed them equally among his children.

1. He gets 1 Water melon (Wm) for 1Re

2. He gets 2 Oranges (O) for 1Re

3. He gets 3 Bananas (B) for 1Re

What is the distribution?

A. 1 Wm, 2 O,2 B        B. 1 Wm, 3 O, 1 B

C. 2 Wm, 2 O, 1 B       D. 1 Wm, 2 O, 1 B

28) Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter in years?

A. 7                              B. 14

C. 21                            D. 28

29) There are 1000 pillars for a temple. 3 friends Linda, Chelsea, Julie visited that temple. Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julie is shorter than Linda. Find the correct sentence?

A. Linda is shortest among them

B. Chelsea is taller than Julie

C. Chelsea is shorter than Julie

D. Cannot determine who is taller between Chelsea and Julie

30) A game is played between two players and one player is declared as winner. All the winners from first round play in the second round. All the winners from second round play in third round and so on. If eight rounds are played to declare only one player as winner, how many players played in first round?

A. 16                            B. 256

C. 64                            D. 128

31) Find the single discount equivalent to a series of discounts of 20%, 10% and 5%.

A. 35%                         B. 31.6%

C. 32.6%                      D. 33.6%

32) Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour alternately, the tank will be full in :

A. 6hrs                         B. 6.67hrs

C. 7hrs                         D. 7.5hrs

33) A retailer buys 40 pens at a marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, what is his profit percent?

A. 10%                         B. 20%

C. 30%                                     D. 40%

34) If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10% at different stages. What will be the approximate overall reduction in the wastage of the fuel if the mechanisms are combined?

A. 50%                         B. 55 %

C. 60%                                     D. 65%

35) A lies on Mon, Tues, Wed and speaks truth on all other days. B lies on Wed, Thu and Sat and speaks truth on all other days. One day A said: I didn’t lie yesterday, then B said: I too didn’t lie yesterday. What day is today?

A. Sunday                    B. Monday

C. Tuesday                   D. Friday

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