TCS NQT 2026 : ALgebra & Progression HW

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Question 1

For a coding competition a team of four members should be selected from a total of 6 boys and 10 girls. What are different ways to select the team, if it is mandatory to have exactly one boy in team?

  • 5040

  • 720

  • 120

  • 240

Question 2

Find the total number of 4-digit different numbers that can be formed using the only digits '1' and '2'.

  • 2

  • 4

  • 8

  • 16

Question 3

Harshit is on a trip with his 2 other friends, as a in-charge of trip Harshit booked 5 hotel rooms, but they required only 3 of them, so what are total number of ways in which the rooms can be allocated?

  • 20

  • 60

  • 120

  • 720

Question 4

How many triangles can be formed connecting 3 points from the two axis lines, given that x-axis contains 8 points and y-axis contains 10 points.

  • 620

  • 640

  • 720

  • 1040

Question 5

Find the number of ways in which the word DETAIL can be arranges such that the vowel occur on the odd positions.
  • 25
  • 81
  • 36
  • 45

Question 6

How many 3 digit numbers can be formed from the numbers from the given set {1,3,2,4,6} . Repetition not allowed
  • 24
  • 120
  • 40
  • 60

Question 7

Number of four digit numbers that can be formed from the digits { 1, 0 ,4, 9}. Repetition allowed
  • 64
  • 128
  • 216
  • 192

Question 8

What is the probability of a non leap year to have 53 Tuesdays?
  • 2/7
  • 1/7
  • 1
  • 6/7

Question 9

Find the 28th term from the end of the AP 6, 9, 12, 15, 18, …, 102.

  • 21

  • 22

  • 23

  • None of the above

Question 10

If the first term of an A.P. is 3 and the sum of its first four terms is equal to one-fifth of the sum of the next four terms, then the sum of the first 20 terms is equal to

  • -1200

  • -1080

  • -1020

  • -120

There are 15 questions to complete.

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