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GATE Average Questions with Answers & Explanations

16 Average questions from the General Aptitude (Quantitative & Reasoning) section of GATE, 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 53. If one number is removed, the average of the remaining numbers becomes 57. What is the number removed?

  1. A31
  2. B33
  3. C27
  4. D32
Show answer
Answer: (B) 33 Removed number = 6 × 53 − 5 × 57 = 33.
Question 2

The average of 6 numbers is 52. If one number is removed, the average of the remaining numbers becomes 56. What is the number removed?

  1. A35
  2. B32
  3. C29
  4. D38
Show answer
Answer: (B) 32 Removed number = 6 × 52 − 5 × 56 = 32.
Question 3

The average of 6 numbers is 28. If one number is removed, the average of the remaining numbers becomes 25. What is the number removed?

  1. A43
  2. B48
  3. C49
  4. D42
Show answer
Answer: (A) 43 Removed number = 6 × 28 − 5 × 25 = 43.
Question 4

The average of 10 numbers is 30. If one number is removed, the average of the remaining numbers becomes 33. What is the number removed?

  1. A5
  2. B13
  3. C3
  4. D6
Show answer
Answer: (C) 3 Removed number = 10 × 30 − 9 × 33 = 3.
Question 5

The average of 5 numbers is 58. If one number is removed, the average of the remaining numbers becomes 62. What is the number removed?

  1. A41
  2. B37
  3. C42
  4. D45
Show answer
Answer: (C) 42 Removed number = 5 × 58 − 4 × 62 = 42.
Question 6

The average of 6 numbers is 38. If one number is removed, the average of the remaining numbers becomes 40. What is the number removed?

  1. A25
  2. B34
  3. C27
  4. D28
Show answer
Answer: (D) 28 Removed number = 6 × 38 − 5 × 40 = 28.
Question 7

The average of 6 numbers is 24. If one number is removed, the average of the remaining numbers becomes 22. What is the number removed?

  1. A34
  2. B36
  3. C35
  4. D28
Show answer
Answer: (A) 34 Removed number = 6 × 24 − 5 × 22 = 34.
Question 8

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. A20
  2. B22
  3. C12
  4. D32
Show answer
Answer: (B) 22 Removed number = 10 × 58 − 9 × 62 = 22.
Question 9

The average of 6 numbers is 42. If one number is removed, the average of the remaining numbers becomes 44. What is the number removed?

  1. A37
  2. B26
  3. C32
  4. D35
Show answer
Answer: (C) 32 Removed number = 6 × 42 − 5 × 44 = 32.
Question 10

The average of 5 numbers is 53. If one number is removed, the average of the remaining numbers becomes 50. What is the number removed?

  1. A68
  2. B65
  3. C63
  4. D60
Show answer
Answer: (B) 65 Removed number = 5 × 53 − 4 × 50 = 65.

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Question 11

The average of 8 numbers is 28. If one number is removed, the average of the remaining numbers becomes 30. What is the number removed?

  1. A19
  2. B14
  3. C9
  4. D17
Show answer
Answer: (B) 14 Removed number = 8 × 28 − 7 × 30 = 14.
Question 12

The average of 10 numbers is 45. If one number is removed, the average of the remaining numbers becomes 43. What is the number removed?

  1. A63
  2. B61
  3. C66
  4. D64
Show answer
Answer: (A) 63 Removed number = 10 × 45 − 9 × 43 = 63.
Question 13

The average of 8 numbers is 54. If one number is removed, the average of the remaining numbers becomes 58. What is the number removed?

  1. A18
  2. B23
  3. C34
  4. D26
Show answer
Answer: (D) 26 Removed number = 8 × 54 − 7 × 58 = 26.
Question 14

The average of 10 numbers is 49. If one number is removed, the average of the remaining numbers becomes 47. What is the number removed?

  1. A66
  2. B57
  3. C67
  4. D62
Show answer
Answer: (C) 67 Removed number = 10 × 49 − 9 × 47 = 67.
Question 15

The average of 6 numbers is 31. If one number is removed, the average of the remaining numbers becomes 35. What is the number removed?

  1. A5
  2. B16
  3. C11
  4. D9
Show answer
Answer: (C) 11 Removed number = 6 × 31 − 5 × 35 = 11.
Question 16

The average of 10 numbers is 47. If one number is removed, the average of the remaining numbers becomes 49. What is the number removed?

  1. A32
  2. B19
  3. C30
  4. D29
Show answer
Answer: (D) 29 Removed number = 10 × 47 − 9 × 49 = 29.

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

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