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XAT Average Questions with Answers & Explanations

17 Average questions from the Quantitative Ability & Data Interpretation section of XAT, 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.

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Question 1

The average of 6 numbers is 26. If one number is removed, the average of the remaining numbers becomes 29. What is the number removed?

  1. A17
  2. B8
  3. C13
  4. D16
  5. E11
Show answer
Answer: (E) 11 Removed number = 6 × 26 − 5 × 29 = 11.
Question 2

The average of 5 numbers is 21. If one number is removed, the average of the remaining numbers becomes 23. What is the number removed?

  1. A11
  2. B12
  3. C16
  4. D18
  5. E13
Show answer
Answer: (E) 13 Removed number = 5 × 21 − 4 × 23 = 13.
Question 3

The average of 5 numbers is 47. If one number is removed, the average of the remaining numbers becomes 44. What is the number removed?

  1. A57
  2. B59
  3. C64
  4. D61
  5. E54
Show answer
Answer: (B) 59 Removed number = 5 × 47 − 4 × 44 = 59.
Question 4

The average of 5 numbers is 39. If one number is removed, the average of the remaining numbers becomes 41. What is the number removed?

  1. A33
  2. B26
  3. C29
  4. D31
  5. E36
Show answer
Answer: (D) 31 Removed number = 5 × 39 − 4 × 41 = 31.
Question 5

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. A16
  2. B17
  3. C24
  4. D19
  5. E18
Show answer
Answer: (D) 19 Removed number = 8 × 40 − 7 × 43 = 19.
Question 6

The average of 8 numbers is 45. If one number is removed, the average of the remaining numbers becomes 47. What is the number removed?

  1. A34
  2. B30
  3. C31
  4. D26
  5. E36
Show answer
Answer: (C) 31 Removed number = 8 × 45 − 7 × 47 = 31.
Question 7

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. A13
  2. B16
  3. C8
  4. D7
  5. E9
Show answer
Answer: (C) 8 Removed number = 8 × 22 − 7 × 24 = 8.
Question 8

The average of 5 numbers is 33. If one number is removed, the average of the remaining numbers becomes 30. What is the number removed?

  1. A50
  2. B44
  3. C40
  4. D43
  5. E45
Show answer
Answer: (E) 45 Removed number = 5 × 33 − 4 × 30 = 45.
Question 9

The average of 8 numbers is 32. If one number is removed, the average of the remaining numbers becomes 35. What is the number removed?

  1. A11
  2. B10
  3. C14
  4. D8
  5. E13
Show answer
Answer: (A) 11 Removed number = 8 × 32 − 7 × 35 = 11.
Question 10

The average of 8 numbers is 39. If one number is removed, the average of the remaining numbers becomes 43. What is the number removed?

  1. A14
  2. B8
  3. C11
  4. D6
  5. E10
Show answer
Answer: (C) 11 Removed number = 8 × 39 − 7 × 43 = 11.

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Question 11

The average of 8 numbers is 29. If one number is removed, the average of the remaining numbers becomes 33. What is the number removed?

  1. A6
  2. B1
  3. C3
  4. D4
  5. E2
Show answer
Answer: (B) 1 Removed number = 8 × 29 − 7 × 33 = 1.
Question 12

The average of 8 numbers is 57. If one number is removed, the average of the remaining numbers becomes 60. What is the number removed?

  1. A39
  2. B36
  3. C35
  4. D37
  5. E33
Show answer
Answer: (B) 36 Removed number = 8 × 57 − 7 × 60 = 36.
Question 13

The average of 6 numbers is 58. If one number is removed, the average of the remaining numbers becomes 55. What is the number removed?

  1. A76
  2. B78
  3. C79
  4. D73
  5. E70
Show answer
Answer: (D) 73 Removed number = 6 × 58 − 5 × 55 = 73.
Question 14

The average of 10 numbers is 58. If one number is removed, the average of the remaining numbers becomes 62. What is the number removed?

  1. A25
  2. B21
  3. C22
  4. D23
  5. E20
Show answer
Answer: (C) 22 Removed number = 10 × 58 − 9 × 62 = 22.
Question 15

The average of 10 numbers is 50. If one number is removed, the average of the remaining numbers becomes 52. What is the number removed?

  1. A31
  2. B42
  3. C32
  4. D22
  5. E34
Show answer
Answer: (C) 32 Removed number = 10 × 50 − 9 × 52 = 32.
Question 16

The average of 5 numbers is 60. If one number is removed, the average of the remaining numbers becomes 57. What is the number removed?

  1. A70
  2. B75
  3. C67
  4. D72
  5. E73
Show answer
Answer: (D) 72 Removed number = 5 × 60 − 4 × 57 = 72.
Question 17

The average of 10 numbers is 55. If one number is removed, the average of the remaining numbers becomes 53. What is the number removed?

  1. A71
  2. B83
  3. C73
  4. D76
  5. E78
Show answer
Answer: (C) 73 Removed number = 10 × 55 − 9 × 53 = 73.

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

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