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AFCAT Average Questions with Answers & Explanations

15 Average questions from the Numerical Ability section of AFCAT, 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 8 numbers is 39. If one number is removed, the average of the remaining numbers becomes 36. What is the number removed?

  1. A62
  2. B61
  3. C63
  4. D60
Show answer
Answer: (D) 60 Removed number = 8 Γ— 39 βˆ’ 7 Γ— 36 = 60.
Question 2

The average of 8 numbers is 32. If one number is removed, the average of the remaining numbers becomes 29. What is the number removed?

  1. A53
  2. B51
  3. C50
  4. D55
Show answer
Answer: (A) 53 Removed number = 8 Γ— 32 βˆ’ 7 Γ— 29 = 53.
Question 3

The average of 10 numbers is 50. If one number is removed, the average of the remaining numbers becomes 53. What is the number removed?

  1. A28
  2. B24
  3. C26
  4. D23
Show answer
Answer: (D) 23 Removed number = 10 Γ— 50 βˆ’ 9 Γ— 53 = 23.
Question 4

The average of 8 numbers is 59. If one number is removed, the average of the remaining numbers becomes 57. What is the number removed?

  1. A65
  2. B73
  3. C78
  4. D70
Show answer
Answer: (B) 73 Removed number = 8 Γ— 59 βˆ’ 7 Γ— 57 = 73.
Question 5

The average of 8 numbers is 29. If one number is removed, the average of the remaining numbers becomes 27. What is the number removed?

  1. A43
  2. B41
  3. C42
  4. D48
Show answer
Answer: (A) 43 Removed number = 8 Γ— 29 βˆ’ 7 Γ— 27 = 43.
Question 6

The average of 10 numbers is 35. If one number is removed, the average of the remaining numbers becomes 37. What is the number removed?

  1. A17
  2. B18
  3. C16
  4. D7
Show answer
Answer: (A) 17 Removed number = 10 Γ— 35 βˆ’ 9 Γ— 37 = 17.
Question 7

The average of 8 numbers is 27. If one number is removed, the average of the remaining numbers becomes 30. What is the number removed?

  1. A7
  2. B14
  3. C3
  4. D6
Show answer
Answer: (D) 6 Removed number = 8 Γ— 27 βˆ’ 7 Γ— 30 = 6.
Question 8

The average of 10 numbers is 56. If one number is removed, the average of the remaining numbers becomes 59. What is the number removed?

  1. A31
  2. B34
  3. C29
  4. D30
Show answer
Answer: (C) 29 Removed number = 10 Γ— 56 βˆ’ 9 Γ— 59 = 29.
Question 9

The average of 6 numbers is 56. If one number is removed, the average of the remaining numbers becomes 54. What is the number removed?

  1. A64
  2. B66
  3. C68
  4. D65
Show answer
Answer: (B) 66 Removed number = 6 Γ— 56 βˆ’ 5 Γ— 54 = 66.
Question 10

The average of 6 numbers is 22. If one number is removed, the average of the remaining numbers becomes 26. What is the number removed?

  1. A8
  2. B1
  3. C4
  4. D2
Show answer
Answer: (D) 2 Removed number = 6 Γ— 22 βˆ’ 5 Γ— 26 = 2.

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Question 11

The average of 8 numbers is 40. If one number is removed, the average of the remaining numbers becomes 43. What is the number removed?

  1. A20
  2. B16
  3. C19
  4. D14
Show answer
Answer: (C) 19 Removed number = 8 Γ— 40 βˆ’ 7 Γ— 43 = 19.
Question 12

The average of 10 numbers is 20. If one number is removed, the average of the remaining numbers becomes 22. What is the number removed?

  1. A2
  2. B5
  3. C1
  4. D7
Show answer
Answer: (A) 2 Removed number = 10 Γ— 20 βˆ’ 9 Γ— 22 = 2.
Question 13

The average of 8 numbers is 49. If one number is removed, the average of the remaining numbers becomes 47. What is the number removed?

  1. A68
  2. B58
  3. C71
  4. D63
Show answer
Answer: (D) 63 Removed number = 8 Γ— 49 βˆ’ 7 Γ— 47 = 63.
Question 14

The average of 5 numbers is 54. If one number is removed, the average of the remaining numbers becomes 52. What is the number removed?

  1. A63
  2. B62
  3. C67
  4. D61
Show answer
Answer: (B) 62 Removed number = 5 Γ— 54 βˆ’ 4 Γ— 52 = 62.
Question 15

The average of 5 numbers is 24. If one number is removed, the average of the remaining numbers becomes 27. What is the number removed?

  1. A12
  2. B7
  3. C11
  4. D15
Show answer
Answer: (A) 12 Removed number = 5 Γ— 24 βˆ’ 4 Γ— 27 = 12.

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

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