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Delhi Police Constable Average Questions with Answers & Explanations

16 Average questions from the Numerical Ability section of Delhi Police Constable, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

Question 1

The average of 5 numbers is 27. If one number is removed, the average of the remaining numbers becomes 31. What is the number removed?

  1. A16
  2. B14
  3. C11
  4. D13
Show answer
Answer: (C) 11 Removed number = 5 Γ— 27 βˆ’ 4 Γ— 31 = 11.
Question 2

The average of 8 numbers is 53. If one number is removed, the average of the remaining numbers becomes 51. What is the number removed?

  1. A69
  2. B67
  3. C65
  4. D75
Show answer
Answer: (B) 67 Removed number = 8 Γ— 53 βˆ’ 7 Γ— 51 = 67.
Question 3

The average of 8 numbers is 22. If one number is removed, the average of the remaining numbers becomes 24. What is the number removed?

  1. A8
  2. B16
  3. C5
  4. D3
Show answer
Answer: (A) 8 Removed number = 8 Γ— 22 βˆ’ 7 Γ— 24 = 8.
Question 4

The average of 10 numbers is 32. If one number is removed, the average of the remaining numbers becomes 30. What is the number removed?

  1. A51
  2. B53
  3. C49
  4. D50
Show answer
Answer: (D) 50 Removed number = 10 Γ— 32 βˆ’ 9 Γ— 30 = 50.
Question 5

The average of 6 numbers is 60. If one number is removed, the average of the remaining numbers becomes 62. What is the number removed?

  1. A44
  2. B56
  3. C47
  4. D50
Show answer
Answer: (D) 50 Removed number = 6 Γ— 60 βˆ’ 5 Γ— 62 = 50.
Question 6

The average of 6 numbers is 46. If one number is removed, the average of the remaining numbers becomes 43. What is the number removed?

  1. A64
  2. B67
  3. C60
  4. D61
Show answer
Answer: (D) 61 Removed number = 6 Γ— 46 βˆ’ 5 Γ— 43 = 61.
Question 7

The average of 10 numbers is 32. If one number is removed, the average of the remaining numbers becomes 29. What is the number removed?

  1. A62
  2. B59
  3. C49
  4. D61
Show answer
Answer: (B) 59 Removed number = 10 Γ— 32 βˆ’ 9 Γ— 29 = 59.
Question 8

The average of 6 numbers is 41. If one number is removed, the average of the remaining numbers becomes 39. What is the number removed?

  1. A51
  2. B50
  3. C52
  4. D56
Show answer
Answer: (A) 51 Removed number = 6 Γ— 41 βˆ’ 5 Γ— 39 = 51.
Question 9

The average of 5 numbers is 58. If one number is removed, the average of the remaining numbers becomes 61. What is the number removed?

  1. A44
  2. B46
  3. C43
  4. D51
Show answer
Answer: (B) 46 Removed number = 5 Γ— 58 βˆ’ 4 Γ— 61 = 46.
Question 10

The average of 10 numbers is 40. If one number is removed, the average of the remaining numbers becomes 37. What is the number removed?

  1. A66
  2. B67
  3. C68
  4. D57
Show answer
Answer: (B) 67 Removed number = 10 Γ— 40 βˆ’ 9 Γ— 37 = 67.

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Question 11

The average of 6 numbers is 20. If one number is removed, the average of the remaining numbers becomes 24. What is the number removed?

  1. A1
  2. B6
  3. C5
  4. D0
Show answer
Answer: (D) 0 Removed number = 6 Γ— 20 βˆ’ 5 Γ— 24 = 0.
Question 12

The average of 10 numbers is 56. If one number is removed, the average of the remaining numbers becomes 58. What is the number removed?

  1. A36
  2. B41
  3. C33
  4. D38
Show answer
Answer: (D) 38 Removed number = 10 Γ— 56 βˆ’ 9 Γ— 58 = 38.
Question 13

The average of 6 numbers is 22. If one number is removed, the average of the remaining numbers becomes 25. What is the number removed?

  1. A10
  2. B7
  3. C4
  4. D2
Show answer
Answer: (B) 7 Removed number = 6 Γ— 22 βˆ’ 5 Γ— 25 = 7.
Question 14

The average of 10 numbers is 41. If one number is removed, the average of the remaining numbers becomes 39. What is the number removed?

  1. A62
  2. B57
  3. C59
  4. D54
Show answer
Answer: (C) 59 Removed number = 10 Γ— 41 βˆ’ 9 Γ— 39 = 59.
Question 15

The average of 6 numbers is 25. If one number is removed, the average of the remaining numbers becomes 22. What is the number removed?

  1. A40
  2. B41
  3. C37
  4. D34
Show answer
Answer: (A) 40 Removed number = 6 Γ— 25 βˆ’ 5 Γ— 22 = 40.
Question 16

The average of 8 numbers is 43. If one number is removed, the average of the remaining numbers becomes 41. What is the number removed?

  1. A56
  2. B58
  3. C57
  4. D54
Show answer
Answer: (C) 57 Removed number = 8 Γ— 43 βˆ’ 7 Γ— 41 = 57.

These are RankerClub practice questions written in the Delhi Police Constable pattern. They are not official SSC/IBPS/RRB papers.

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