TCS NQT 2026 || PYQ || APTITUDE || Permutation and combination , Probability & DI || HW

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Question 1

In how many ways can 5 different books be arranged on a shelf?

  • 120

  • 60

  • 24

  • 30

Question 2

How many ways can a committee of 3 be chosen from a group of 10 people?

  • 120

  • 720

  • 60

  • 240

Question 3

If a pizza shop offers 10 different toppings, and offers two types with 5 toppings and 3 toppings respectively, then how many different pizzas can be made?

  • 252

  • 720

  • 372

  • 352

Question 4

How many different combinations can be formed if you have 5 items and choose 4?

  • 12

  • 5

  • 120

  • 4

Question 5

How many different 5-card hands can be dealt from a standard 52-card deck?

  • 2,598,960

  • 1,326

  • 1,081

  • 10,000

Question 6

How many ways can 2 boys and 3 girls be selected from a class of 5 boys and 6 girls?

  • 180

  • 150

  • 200

  • 30

Question 7

In how many ways can the letters of the word "BANANA" be arranged?

  • 60

  • 120

  • 30

  • 90

Question 8

In how many ways can a group of 3 girls and 3 boys can be seated at a round table such that all girls sit together?


  • 24

  • 12

  • 72

  • 36

Question 9

How many distinct words having 2 consonants and 1 vowel can be formed from a set of 5 consonants and 3 vowels?

  • 180

  • 60

  • 200

  • 90

Question 10

Which type of probability does the Law of Large Numbers support?



  • Empirical Probability


  • Conditional Probability


  • Subjective Probability


  • Geometric Probability

There are 16 questions to complete.

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