# TCS Aptitude Paper 6

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

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Attempt TCS Aptitude Paper 6 | 25 questions in 50 minutes | Mock test for Quant preparation | Free important questions MCQ to study Placement Papers - Technical & HR Questions for Quant Exam | Download free PDF with solutions
QUESTION: 1

Solution:
QUESTION: 2

Solution:
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?

Solution:

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

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?

Solution:

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

*Answer can only contain numeric values
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 ?

Solution:

31+31+2 (worst case probability)= 64

QUESTION: 6

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

Solution:

21 since cycle will not form.

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?

Solution:

2^n > no of barrels

Then n=will be required mice N=8

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

Solution:

5 same as given no of points

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?

Solution:
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

Solution:
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?

Solution:

1/3, 1/8

3*8=24

(24-3)=21

(21-8)=13

(21*13)/3^2

QUESTION: 12

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

Solution:
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

Solution:
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?

Solution:
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

Solution:
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?

Solution:
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?

Solution:
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

Solution:
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?

Solution:
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?

Solution:
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?

Solution:

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

*Answer can only contain numeric values
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

Solution:
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?

Solution:
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__)?

Solution:

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

thus 1 out of 8 ans

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?

Solution:
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