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BARC OCES/DGFS Average Questions with Answers & Explanations

17 Average questions from the Quantitative Aptitude section of BARC OCES/DGFS, 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 10 numbers is 48. If one number is removed, the average of the remaining numbers becomes 52. What is the number removed?

  1. A7
  2. B12
  3. C9
  4. D11
Show answer
Answer: (B) 12 Removed number = 10 × 48 − 9 × 52 = 12.
Question 2

The average of 5 numbers is 51. If one number is removed, the average of the remaining numbers becomes 54. What is the number removed?

  1. A40
  2. B44
  3. C34
  4. D39
Show answer
Answer: (D) 39 Removed number = 5 × 51 − 4 × 54 = 39.
Question 3

The average of 5 numbers is 24. If one number is removed, the average of the remaining numbers becomes 21. What is the number removed?

  1. A34
  2. B38
  3. C35
  4. D36
Show answer
Answer: (D) 36 Removed number = 5 × 24 − 4 × 21 = 36.
Question 4

The average of 10 numbers is 59. If one number is removed, the average of the remaining numbers becomes 61. What is the number removed?

  1. A51
  2. B44
  3. C36
  4. D41
Show answer
Answer: (D) 41 Removed number = 10 × 59 − 9 × 61 = 41.
Question 5

The average of 5 numbers is 43. If one number is removed, the average of the remaining numbers becomes 46. What is the number removed?

  1. A36
  2. B26
  3. C30
  4. D31
Show answer
Answer: (D) 31 Removed number = 5 × 43 − 4 × 46 = 31.
Question 6

The average of 6 numbers is 47. If one number is removed, the average of the remaining numbers becomes 44. What is the number removed?

  1. A62
  2. B59
  3. C64
  4. D65
Show answer
Answer: (A) 62 Removed number = 6 × 47 − 5 × 44 = 62.
Question 7

The average of 10 numbers is 53. If one number is removed, the average of the remaining numbers becomes 51. What is the number removed?

  1. A76
  2. B71
  3. C73
  4. D74
Show answer
Answer: (B) 71 Removed number = 10 × 53 − 9 × 51 = 71.
Question 8

The average of 10 numbers is 28. If one number is removed, the average of the remaining numbers becomes 30. What is the number removed?

  1. A9
  2. B10
  3. C5
  4. D11
Show answer
Answer: (B) 10 Removed number = 10 × 28 − 9 × 30 = 10.
Question 9

The average of 6 numbers is 56. If one number is removed, the average of the remaining numbers becomes 59. What is the number removed?

  1. A43
  2. B41
  3. C47
  4. D46
Show answer
Answer: (B) 41 Removed number = 6 × 56 − 5 × 59 = 41.
Question 10

The average of 10 numbers is 42. If one number is removed, the average of the remaining numbers becomes 46. What is the number removed?

  1. A6
  2. B9
  3. C5
  4. D1
Show answer
Answer: (A) 6 Removed number = 10 × 42 − 9 × 46 = 6.

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Question 11

The average of 10 numbers is 38. If one number is removed, the average of the remaining numbers becomes 40. What is the number removed?

  1. A20
  2. B23
  3. C19
  4. D15
Show answer
Answer: (A) 20 Removed number = 10 × 38 − 9 × 40 = 20.
Question 12

The average of 6 numbers is 52. If one number is removed, the average of the remaining numbers becomes 54. What is the number removed?

  1. A42
  2. B47
  3. C43
  4. D40
Show answer
Answer: (A) 42 Removed number = 6 × 52 − 5 × 54 = 42.
Question 13

The average of 8 numbers is 34. If one number is removed, the average of the remaining numbers becomes 32. What is the number removed?

  1. A49
  2. B50
  3. C46
  4. D48
Show answer
Answer: (D) 48 Removed number = 8 × 34 − 7 × 32 = 48.
Question 14

The average of 10 numbers is 31. If one number is removed, the average of the remaining numbers becomes 34. What is the number removed?

  1. A4
  2. B6
  3. C9
  4. D2
Show answer
Answer: (A) 4 Removed number = 10 × 31 − 9 × 34 = 4.
Question 15

The average of 8 numbers is 60. If one number is removed, the average of the remaining numbers becomes 58. What is the number removed?

  1. A75
  2. B76
  3. C72
  4. D74
Show answer
Answer: (D) 74 Removed number = 8 × 60 − 7 × 58 = 74.
Question 16

The average of 8 numbers is 46. If one number is removed, the average of the remaining numbers becomes 50. What is the number removed?

  1. A26
  2. B19
  3. C18
  4. D15
Show answer
Answer: (C) 18 Removed number = 8 × 46 − 7 × 50 = 18.
Question 17

The average of 10 numbers is 38. If one number is removed, the average of the remaining numbers becomes 42. What is the number removed?

  1. A12
  2. B5
  3. C2
  4. D7
Show answer
Answer: (C) 2 Removed number = 10 × 38 − 9 × 42 = 2.

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

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