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  #2  
8th August 2014, 09:44 AM
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Join Date: Apr 2013
Re: Topics for Aptitude Test in TCS

You are looking for topics are come under Aptitude paper of Tata Consultancy Services (TCS) placement exam, i am giving here:

TCS Online Aptitude Test Pattern For Freshers:

The first section in the TCS Online Aptitude Test is Verbal Ability
Duration: 10 minutes
Total Questions: 1
Question Type – Free Text Writing

Email writing on the given topic and using the given outline.
The sender and receiver in the email should be as given.
Email must contain a minimum of 50 words or it will not be evaluated at all.
If the outline is not strictly followed or correct English is not used, the score in this section will be poor.
Negative Marking is not applicable to this section Analytical Ability

The second and last section of the TCS Online Aptitude Test is Analytical Ability
Duration: 80 minutes
Total Questions: 30
Question Type: Multiple choice – Mix of Logic & Arithmetic type questions
Negative Marking is applicable to this section. Please avoid guessing.
An online scientific calculator will be provided on the test screen. You are permitted to carry your own scientific calculator too.
Aptitude Question paper:
1) 23 people are there, they are shaking hands together, How many hand shakes possible, if they are in pair of cyclic sequence ?

2) 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa.

3) B is taller than j and 3 pillars. P is shorter than B and 2 pillars is j shorter/taller than P?

4) In school there are some bicycles and 4wheeler wagons. One Tuesday there are 58 wheels in the campus. How many bicycles are there?

5) Which is the smallest no divides 2880 and gives a perfect square?

a) 1 b) 2 c) 5 d) 6

6) Rearrange and categorize the word ‘RAPETEKA’?

7) Key words in question (Fibonacci series, infinite series, in the middle of the question one number series is there. I got the series 3 12 7 26 15 b?

8) What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?

9) There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160. If B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?

10) There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively?

11) Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 2 flavors from 6 flavors. In how many ways we can select?

12) 3, 15, x, 51, 53,159,161. Find X

13) A hollow space on earth surface is to be filled. Total cost of filling is Rs20000. The cost of filling per mt3 is Rs 225 .how many times a size of 3 mt3 soil is required to fill the hollow space?

14) There are different things like p,q,r,s,t,u,v. We can take p and q together. If r and s are taken together then t must has to be taken. u and v can be taken together.v can be taken with p or s. every thing can be taken together except.
a) p b) t c) v d) s

15) There are 11 boys in a family. Youngest child is a boy. Probability is 1 that of all are boys out of?
a) 2 b) 2 C) 2048 d) 1024

16) Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side.The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position(.i.e no three points in P lie on a line) is:

a) 3 b) 5 c) 2 d)1


17) The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8.A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000.How many 3s are used in numbering these buildings?
a) 54 b) 64 c) 265 d) 192

18) Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
a) 1 b) 3 c) 4 d) 0

19) Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?
a) 37.80 b) 8 c) 40 d) 5

20) Here 10 programers, type 10 lines with in 10 minutes then 60 lines can type within 60 minutes. How many programmers are needed?
a) 16 b) 6 c) 10 d) 60

21) Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it’s a player’s turn then the player wins the game. Initially, the gold coins the third coin from the top. Then

a) In order to win, Alice’s first move should be a 1-move.
b) In order to win, Alice’s first move should be a 0-move.
c) In order to win, Alice’s first move can be a 0-move or a 1-move.
d) Alice has no winning strategy.

22) For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A’s chances of winning. Let’s assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
a) 1/9 b) 4/9 c) 5/9 d) 2/3

23) 36 people {a1, a2, …, a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
a) 12 b) 11 c) 13 d) 18

24) After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
a) 1/12 b) 0 c) 12/212 d) 11/12

25) A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:
a) 1/4 b) 1/10 c) 7/15 d) 8/15

26) If VXUPLVH is written as SURMISE, what is SHDVD ?

27) If DDMUQZM is coded as CENTRAL then RBDJK can be coded as ———

28) In the word ECONOMETRICS, if the first and second , third and forth ,forth and fifth, fifth and sixth words are interchanged up to the last letter, what would be the tenth letter from right?

29) Find the result of the following __expression if, M denotes modulus operation, R denotes round-off, T denotes truncation: M(373,5)+R(3.4)+T(7.7)+R(5.8)

30) Find the missing number in the series: 2, 5, __ , 19 , 37, 75.
  #3  
26th November 2019, 09:57 AM
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Re: Topics for Aptitude Test in TCS

Can you tell me about the topics for Aptitude Questions asked in TCS (Tata Consultancy Services) recruitment test for Engineering Post?
  #4  
26th November 2019, 09:58 AM
Super Moderator
 
Join Date: Aug 2012
Re: Topics for Aptitude Test in TCS

The topics for Aptitude Questions asked in TCS (Tata Consultancy Services) recruitment test for Engineering Post are as follows:

Topic Number of Questions


Number system 2 – 3
HCF & LCM 1 – 2
Time, Speed & Distance 2 – 3
Mixtures & Allegations 2 – 3
Time & Work 2 – 3
Percentages 2 – 3
Permutations & Combinations 1 – 2
Profit & Loss 1 – 2
Functions & Equations 1 – 2
Series & Progression 1 – 2
Blood Relations 1 – 2
Averages 1 – 2
Geometry 1 – 2
Clocks & Calendars 1 – 2

Some Aptitude Questions


1) A, B, and C can together do some work in 72 days. A and B can together do two times as much work as C alone, and A and C together can do four times as much work as B alone. Find the time taken by C alone to do the whole work.

a. 144 days
b. 360 days
c. 216 days
d. 180 days

Answer: 216 days

The work done by A, B and C together = A + B + C = 72 days
A + B = 2C
A + C = 4B
On solving, we get 3C = 72 days and hence C = 72*3 = 216 days


2) A and B completed certain work together in 5 days. Had A worked at twice his own speed and B half his own speed, it would have taken them 4 days to complete the job. How much time would it take for A alone to do the job?

a. 10 days
b. 20 days
c. 25 days
d. 15 days

Answer: 10 days

A and B can together do a work in 5 days = A + B = 1/5 days
2A + B/2 = 1/4
On solving these equations, we get A = 1/10 and hence A will take 10 days to complete the work all alone.


3) A sum of Rs 2387 is divided into three parts in such a way that one-fifth of the first part, one half of the second part and the fourth one and the third part are equal. Find the sum of five times the first part, three times the second part and four times the third part (in rupees).

a. 9982
b. 7812
c. 9114
d. 10199

Answer: 10199

Let the amount be divided into three parts X, Y, and Z.
X + Y + Z = 2387
X/5 = Y/2 = Z/4 = K
X = 5K
Y = 2K
Z = 4K
Hence, 5K + 2K + 4K = 2387
11K = 2387
K = 217
5 times of 1st part + 3 times of 2nd part + 4 times of 3rd part = 5X + 3Y + 4Z
= 5(5K) + 3(2K) + 4(4K) = 5(5*217) + 3(2*217) + 4(4*217)
= 5425 + 1302 + 3472 = 10199


4) What is the greatest possible positive integer n if 16^n divides (44)^44 without leaving a remainder.

a. 14
b. 15
c. 28
d. 29

Answer: 29


5) In a test with 26 questions, five points were deducted for each wrong answer and eight points were added for every correct answer. How many were answered correctly if the score was zero?

a. 11
b. 10
c. 13
d. 12

Answer: 10

Let the number of correct answers be y and number of wrong answers be x.
(-5)x + 8(y) = 0
x + y = 26
On solving these, we get x = 16 and y = 10


6) The air-conditioned bus service from Siruseri industry park runs at regular intervals throughout the day. It is now 3:12 pm and it has arrived 1 minute ago but it was 2 minutes late. The next bus is due at 3:18 pm. When is the next bus due?

a. 3:27 pm
b. 3:29 pm
c. 3:24 pm
d. 3:25 pm

Answer: 3:27 pm

Time right now = 3:12 pm
Time at which the bus should have arrived = 3:09 pm
The next bus timing = 3:18 pm
The interval between 1st bus and 2nd bus = 0.09 min
so next bus will be at = 3:18 +0.09= 3:27 pm


7) How many number plates can be made if the number plates have two letters of the English alphabets (A-Z) followed by two digits (0-9) if the repetition of digits or alphabets is not allowed?

a. 56800
b. 56500
c. 52500
d. 58500

Answer: 58500

The number of English alphabets (a-z) = 26
The number of digits (0-9) = 10
Number of ways to arrange two alphabets without repetition = 26*25
Number of ways to arrange two digits without repetition = 10*9
Number of number plates that can be made = 26*25*10*9 = 58500


8) In a cricket tournament, 16 school teams participated. A sum of Rs. 8000 is to be awarded among them as prize money. If the team placed last is awarded Rs. 275 as prize money and the award increases by the same amount for successive finishing teams, how much will the team placed first receive?

a. 1000
b. 500
c. 1250
d. 725

Answer: 725

Let the team which got placed first receive an amount a.
Since the award money increases by the same amount for successive finishing teams, the series will be in AP. Let the constant amount be d.
Now, l = 275 , n = 16 and S16 = 8000
l = a + (n – 1) d and hence 275 = a + 15d
S16 = 16/2 [2a + (16 -1)(d)] and hence 8000 = 8 (2a + 15d)
On solving these equations,
275 = a + 15d
1000 = 2a + 15d
(2a + 15d) – (a + 15d) = 1000 – 275
a = 725


9) Eesha’s father was 34 years of age when she was born. Her younger brother, Shashank, now that he is 13, is very proud of the fact that he is as tall as her, even though he is three years younger than her. Eesha’s mother, who is shorter than Eesha, was only 29 when Shashank was born. What is the sum of the ages of Eesha’s parents now?

a. 92
b. 76
c. 66
d. 89

Answer: 92

Let Eesha’s present age be x.
Eesha’s father’s present age = x + 34
Shashank’s age = 13
Eesha’s present age = 13 + 3 = 16
Eesha’s mother’s present age = 29 + 13 = 42
Sum of the ages of Eesha’s parents now = 42 + 16 + 34 = 92


10) Fishing is a serious environmental issue. It has been determined by the scientists that if the net of a trawler has mesh size x cm by x (square mesh) then the percentage of fish entering the net that is caught in the net is (100-0.02x^2-0.05x). For example, if the mesh size is zero 100% of the fish that enters the net will be caught. The trawler with the net with a square mesh that was suspected of using an illegal size net dropped its net to the ocean near the damans and coast guard officials arrested the crew. The scientists later looked at the size of the fish caught and estimated that the net used by the trawler at least 97.93% of the fish entering the net would be caught. What is the maximum value of x for the net by the trawler?

a. 8.5
b.9
c. 11
d. None of the answers

Answer: 9


11) In this question, x^y stands for x raised to the power y. For example, 2^3=8 and 4^1.5=8. If a,b are real numbers such that a+b=3, a^2+b^2=7, the value of a^4+b^4 is?

a. 49
b. 45
c. 51
d. 47

Answer: 47


12) The set A (0) is (1,2,3,4). For n > 0, A(n+1) contains all possible sums that can be obtained by adding two different numbers from what is the number of integers in A(10). (This is an advanced question)

Answer: 67


13) Considering a hash table with 100 slots. Collisions are resolved using chaining. Assuming simple uniform hashing, what is the probability that the first 3 slots are unfilled after the first 3 insertions? (NOTE:100 ^ 3 means 100 raised to the power 3) (This is an advanced question)

a.(97*96*95)/100^3
b.(97*96*95)/(6*100^3)
c.(97*97*97)/100^3
d. (99*98*97)/100^3

Answer: (97*97*97)/100^3


14) Advanced In this question x^y stands for x raised to the power y. For example 2^3=8 and 4^1.5=8. Find the number of positive integers n>2000 which can be expressed as n=2^m+2^n where m and n are integers (for example, 33=2^0+2^5) (This is an advanced question)

Answer: 65


15) A road network covers some cities. City C can be reached only from the city A or city B. The distance from A to C is 65 km and that from B to C is 30 km. The shortest distance from A to B is 58 km. The shortest distance from city P to A is 420 km and the shortest distance from city P to B is 345 km. The shortest distance from city P to city C in kms is:

a. 153
b. 478
c. 403
d. 375

Answer: 375


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