TCS NQT 2026 || PYQ || APTITUDE || Permutations & Combinations, Probability & DI || CLASS

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Question 1

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

  • 266

  • 5040

  • 86400

  • 11760

Question 2

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

  • 810

  • 1440

  • 2880

  • 50400

Question 3

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

  • 21/46

  • 25/117

  • 1/50

  • 3/25

Question 4

Three unbiased coins are tossed. What is the probability of getting at most two heads?

  • 3/4

  • 1/4

  • 3/8

  • 7/8

Question 5

What is the probability of getting a sum 9 from two throws of a dice?

  • 1/9

  • 1/5

  • 1/12

  • 1/15

Question 6

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

  • 1/3

  • 3/4

  • 7/19

  • 8/21

Question 7

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

  • 10/21

  • 11/21

  • 2/7

  • 5/7

Question 8

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

  • 1/2

  • 2/3

  • 8/15

  • 9/20

Question 9

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

  • 40

  • 400

  • 5040

  • 2520

Question 10

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

  • 32

  • 48

  • 36

  • 60

There are 22 questions to complete.

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