TCS Aptitude Paper 6


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25 Questions MCQ Test Placement Papers - Technical & HR Questions | TCS Aptitude Paper 6

TCS Aptitude Paper 6 for Quant 2022 is part of Placement Papers - Technical & HR Questions preparation. The TCS Aptitude Paper 6 questions and answers have been prepared according to the Quant exam syllabus.The TCS Aptitude Paper 6 MCQs are made for Quant 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for TCS Aptitude Paper 6 below.
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TCS Aptitude Paper 6 - Question 1

(1/3) of a number is 3 more than the (1/6) of the same number?

TCS Aptitude Paper 6 - Question 2

There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/4 filled of the 10 hours, what is total duration of hours required to fill it completely?

TCS Aptitude Paper 6 - Question 3

Samita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape? If we are painting only 2 face of each cube then how many faces will remain unpaint?

Detailed Solution for TCS Aptitude Paper 6 - Question 3

(5*5*5-3*3*3)=125-27=98*no of faces=98*6=588-(no of sides painted)=588-50=538

TCS Aptitude Paper 6 - Question 4

Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how manymatches were played?

Detailed Solution for TCS Aptitude Paper 6 - Question 4

2^n-1=2^8-1=255

*Answer can only contain numeric values
TCS Aptitude Paper 6 - Question 5

Mr. bean having magical balls 25 pink, 10 green, 31 red, 31 yellow, 30 purple. He drenched in rain red, green, and yellow turn into white what is the maximum probability of a pair of same color ?


Detailed Solution for TCS Aptitude Paper 6 - Question 5

31+31+2 (worst case probability)= 64

TCS Aptitude Paper 6 - Question 6

There is 22 friends (A1, A2, A3....A22).If A1 have to have shake with all without repeat. How many handshakes possible?

Detailed Solution for TCS Aptitude Paper 6 - Question 6

21 since cycle will not form.

TCS Aptitude Paper 6 - Question 7

If there are 254 barrels out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisoned can?

Detailed Solution for TCS Aptitude Paper 6 - Question 7

2^n > no of barrels

Then n=will be required mice N=8

TCS Aptitude Paper 6 - Question 8

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, that is 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 (that is no three points in P lie on a line) is

Detailed Solution for TCS Aptitude Paper 6 - Question 8

5 same as given no of points

TCS Aptitude Paper 6 - Question 9

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?

TCS Aptitude Paper 6 - Question 10

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

TCS Aptitude Paper 6 - Question 11

Hare in the other. The hare starts after the tortoise has covered 1/3 of its distance and that too leisurely. 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?

Detailed Solution for TCS Aptitude Paper 6 - Question 11

1/3, 1/8

3*8=24

(24-3)=21

(21-8)=13

(21*13)/3^2

TCS Aptitude Paper 6 - Question 12

Here 10 programmers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?

TCS Aptitude Paper 6 - Question 13

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 its a players turn then the player wins the game. Initially, the gold coins the third coin from the top. Then

TCS Aptitude Paper 6 - Question 14

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 As chances of winning. Lets 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?

TCS Aptitude Paper 6 - Question 15

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

TCS Aptitude Paper 6 - Question 16

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?

TCS Aptitude Paper 6 - Question 17

A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says At least and of the statements on this sheet are true.Which statements are true and which are false?

TCS Aptitude Paper 6 - Question 18

There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

TCS Aptitude Paper 6 - Question 19

A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

TCS Aptitude Paper 6 - Question 20

A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: Exactly n of the statements on this sheet are false. Which statements are true and which are false?

TCS Aptitude Paper 6 - Question 21

Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which ofthe following is true?

Detailed Solution for TCS Aptitude Paper 6 - Question 21

if the gold coin in 3rd position then mark it otherwise leave it

*Answer can only contain numeric values
TCS Aptitude Paper 6 - Question 22

Two pipes A and B fill at A certain rate B is filled at 10, 20, 40, 80. If 1/4 of B if filled in 21 hourswhat time it will take to get completely filled


TCS Aptitude Paper 6 - Question 23

One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it?

TCS Aptitude Paper 6 - Question 24

A toy train can make 10 sounds sound changes after every 4 minute now train is defective and can make only 2 sounds find probability that same sound is repeated 4 times consecutively (1 OUT OF__)?

Detailed Solution for TCS Aptitude Paper 6 - Question 24

(1/2)*(1/2)*(1/2)*(1/2)+ (1/2)*(1/2)*(1/2)*(1/2)=(1/8)

thus 1 out of 8 ans

TCS Aptitude Paper 6 - Question 25

In there is a planet Oz in which there is 36 hrs in a day & 90 minutes in a hrs and 60 seconds in 1 minute it is having same pattern as our watch. Then what will be angle between hour hand and minute hand at 9:40?

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