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?
- A71
- B70
- C73
- D68
Show answer
Answer: (A) 71
Removed number = 10 × 53 − 9 × 51 = 71.
CAT Average Questions with Answers & Explanations
17 Average questions from the Quantitative Ability section of CAT, 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.
The average of 6 numbers is 48. If one number is removed, the average of the remaining numbers becomes 50. What is the number removed?
- A38
- B32
- C44
- D37
Show answer
Answer: (A) 38
Removed number = 6 × 48 − 5 × 50 = 38.
The average of 8 numbers is 55. If one number is removed, the average of the remaining numbers becomes 57. What is the number removed?
- A41
- B44
- C46
- D38
Show answer
Answer: (A) 41
Removed number = 8 × 55 − 7 × 57 = 41.
The average of 10 numbers is 39. If one number is removed, the average of the remaining numbers becomes 42. What is the number removed?
- A12
- B2
- C14
- D11
Show answer
Answer: (A) 12
Removed number = 10 × 39 − 9 × 42 = 12.
The average of 10 numbers is 43. If one number is removed, the average of the remaining numbers becomes 46. What is the number removed?
- A13
- B14
- C18
- D16
Show answer
Answer: (D) 16
Removed number = 10 × 43 − 9 × 46 = 16.
The average of 10 numbers is 60. If one number is removed, the average of the remaining numbers becomes 58. What is the number removed?
- A79
- B88
- C78
- D81
Show answer
Answer: (C) 78
Removed number = 10 × 60 − 9 × 58 = 78.
The average of 6 numbers is 49. If one number is removed, the average of the remaining numbers becomes 53. What is the number removed?
- A29
- B35
- C30
- D28
Show answer
Answer: (A) 29
Removed number = 6 × 49 − 5 × 53 = 29.
The average of 5 numbers is 25. If one number is removed, the average of the remaining numbers becomes 29. What is the number removed?
- A14
- B9
- C4
- D10
Show answer
Answer: (B) 9
Removed number = 5 × 25 − 4 × 29 = 9.
The average of 8 numbers is 33. If one number is removed, the average of the remaining numbers becomes 37. What is the number removed?
- A5
- B2
- C3
- D6
Show answer
Answer: (A) 5
Removed number = 8 × 33 − 7 × 37 = 5.
The average of 6 numbers is 57. If one number is removed, the average of the remaining numbers becomes 55. What is the number removed?
- A67
- B69
- C62
- D68
Show answer
Answer: (A) 67
Removed number = 6 × 57 − 5 × 55 = 67.
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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?
- A52
- B50
- C54
- D51
Show answer
Answer: (D) 51
Removed number = 6 × 41 − 5 × 39 = 51.
The average of 10 numbers is 47. If one number is removed, the average of the remaining numbers becomes 51. What is the number removed?
- A13
- B14
- C11
- D9
Show answer
Answer: (C) 11
Removed number = 10 × 47 − 9 × 51 = 11.
The average of 10 numbers is 32. If one number is removed, the average of the remaining numbers becomes 35. What is the number removed?
- A2
- B6
- C5
- D4
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Answer: (C) 5
Removed number = 10 × 32 − 9 × 35 = 5.
The average of 5 numbers is 45. If one number is removed, the average of the remaining numbers becomes 48. What is the number removed?
- A33
- B32
- C28
- D35
Show answer
Answer: (A) 33
Removed number = 5 × 45 − 4 × 48 = 33.
The average of 6 numbers is 42. If one number is removed, the average of the remaining numbers becomes 45. What is the number removed?
- A28
- B27
- C25
- D32
Show answer
Answer: (B) 27
Removed number = 6 × 42 − 5 × 45 = 27.
The average of 6 numbers is 50. If one number is removed, the average of the remaining numbers becomes 52. What is the number removed?
- A41
- B35
- C34
- D40
Show answer
Answer: (D) 40
Removed number = 6 × 50 − 5 × 52 = 40.
The average of 8 numbers is 45. If one number is removed, the average of the remaining numbers becomes 49. What is the number removed?
- A17
- B16
- C12
- D22
Show answer
Answer: (A) 17
Removed number = 8 × 45 − 7 × 49 = 17.
These are RankerClub practice questions written in the CAT pattern. They are not official SSC/IBPS/RRB papers.
