SSC CGL Average Questions
20 questions on Average for SSC CGL, including questions from 2024 papers. Each comes with the correct answer and a worked explanation.
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Average questions with solutions
The average of 10 numbers is 30. If one number is removed, the average of the remaining numbers becomes 32. What is the removed number?
- (A)12
- (B)32
- (C)2
- (D)30
Show answer and explanation
Correct answer: (A) 12
Sum of all 10 numbers = 10 × 30 = 300. Sum of the remaining 9 numbers = 9 × 32 = 288. The removed number is the difference: 300 − 288 = 12.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 30 + 9 × (-2).
The average of 10 numbers is 27. If one number is removed, the average of the remaining numbers becomes 24. What is the removed number?
- (A)27
- (B)54
- (C)30
- (D)44
Show answer and explanation
Correct answer: (B) 54
Sum of all 10 numbers = 10 × 27 = 270. Sum of the remaining 9 numbers = 9 × 24 = 216. The removed number is the difference: 270 − 216 = 54.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 27 + 9 × (3).
The average of 5 numbers is 45. If one number is removed, the average of the remaining numbers becomes 43. What is the removed number?
- (A)45
- (B)43
- (C)48
- (D)53
Show answer and explanation
Correct answer: (D) 53
Sum of all 5 numbers = 5 × 45 = 225. Sum of the remaining 4 numbers = 4 × 43 = 172. The removed number is the difference: 225 − 172 = 53.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 45 + 4 × (2).
The average of 9 numbers is 22. If one number is removed, the average of the remaining numbers becomes 20. What is the removed number?
- (A)22
- (B)38
- (C)29
- (D)47
Show answer and explanation
Correct answer: (B) 38
Sum of all 9 numbers = 9 × 22 = 198. Sum of the remaining 8 numbers = 8 × 20 = 160. The removed number is the difference: 198 − 160 = 38.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 22 + 8 × (2).
The average of 8 numbers is 21. If one number is removed, the average of the remaining numbers becomes 20. What is the removed number?
- (A)21
- (B)28
- (C)8
- (D)36
Show answer and explanation
Correct answer: (B) 28
Sum of all 8 numbers = 8 × 21 = 168. Sum of the remaining 7 numbers = 7 × 20 = 140. The removed number is the difference: 168 − 140 = 28.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 21 + 7 × (1).
The average of 5 numbers is 55. If one number is removed, the average of the remaining numbers becomes 53. What is the removed number?
- (A)53
- (B)63
- (C)68
- (D)55
Show answer and explanation
Correct answer: (B) 63
Sum of all 5 numbers = 5 × 55 = 275. Sum of the remaining 4 numbers = 4 × 53 = 212. The removed number is the difference: 275 − 212 = 63.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 55 + 4 × (2).
The average of 9 numbers is 49. If one number is removed, the average of the remaining numbers becomes 47. What is the removed number?
- (A)65
- (B)56
- (C)49
- (D)74
Show answer and explanation
Correct answer: (A) 65
Sum of all 9 numbers = 9 × 49 = 441. Sum of the remaining 8 numbers = 8 × 47 = 376. The removed number is the difference: 441 − 376 = 65.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 49 + 8 × (2).
The average of 5 numbers is 50. If one number is removed, the average of the remaining numbers becomes 53. What is the removed number?
- (A)50
- (B)38
- (C)43
- (D)53
Show answer and explanation
Correct answer: (B) 38
Sum of all 5 numbers = 5 × 50 = 250. Sum of the remaining 4 numbers = 4 × 53 = 212. The removed number is the difference: 250 − 212 = 38.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 50 + 4 × (-3).
The average of 8 numbers is 60. If one number is removed, the average of the remaining numbers becomes 62. What is the removed number?
- (A)38
- (B)62
- (C)46
- (D)60
Show answer and explanation
Correct answer: (C) 46
Sum of all 8 numbers = 8 × 60 = 480. Sum of the remaining 7 numbers = 7 × 62 = 434. The removed number is the difference: 480 − 434 = 46.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 60 + 7 × (-2).
The average of 6 numbers is 50. If one number is removed, the average of the remaining numbers becomes 49. What is the removed number?
- (A)6
- (B)50
- (C)61
- (D)55
Show answer and explanation
Correct answer: (D) 55
Sum of all 6 numbers = 6 × 50 = 300. Sum of the remaining 5 numbers = 5 × 49 = 245. The removed number is the difference: 300 − 245 = 55.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 50 + 5 × (1).
The average of 5 numbers is 23. If one number is removed, the average of the remaining numbers becomes 24. What is the removed number?
- (A)23
- (B)19
- (C)14
- (D)24
Show answer and explanation
Correct answer: (B) 19
Sum of all 5 numbers = 5 × 23 = 115. Sum of the remaining 4 numbers = 4 × 24 = 96. The removed number is the difference: 115 − 96 = 19.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 23 + 4 × (-1).
The average of 5 numbers is 26. If one number is removed, the average of the remaining numbers becomes 29. What is the removed number?
- (A)14
- (B)19
- (C)29
- (D)26
Show answer and explanation
Correct answer: (A) 14
Sum of all 5 numbers = 5 × 26 = 130. Sum of the remaining 4 numbers = 4 × 29 = 116. The removed number is the difference: 130 − 116 = 14.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 26 + 4 × (-3).
The average of 6 numbers is 31. If one number is removed, the average of the remaining numbers becomes 32. What is the removed number?
- (A)26
- (B)20
- (C)32
- (D)31
Show answer and explanation
Correct answer: (A) 26
Sum of all 6 numbers = 6 × 31 = 186. Sum of the remaining 5 numbers = 5 × 32 = 160. The removed number is the difference: 186 − 160 = 26.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 31 + 5 × (-1).
The average of 11 numbers is 47. If one number is removed, the average of the remaining numbers becomes 46. What is the removed number?
- (A)68
- (B)47
- (C)46
- (D)57
Show answer and explanation
Correct answer: (D) 57
Sum of all 11 numbers = 11 × 47 = 517. Sum of the remaining 10 numbers = 10 × 46 = 460. The removed number is the difference: 517 − 460 = 57.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 47 + 10 × (1).
The average of 7 numbers is 26. If one number is removed, the average of the remaining numbers becomes 25. What is the removed number?
- (A)26
- (B)32
- (C)7
- (D)25
Show answer and explanation
Correct answer: (B) 32
Sum of all 7 numbers = 7 × 26 = 182. Sum of the remaining 6 numbers = 6 × 25 = 150. The removed number is the difference: 182 − 150 = 32.
Shortcut: Removed number = old average + (n − 1) × (old average − new average) = 26 + 6 × (1).
Showing 15 of 20 questions. Start a practice set above to work through the rest.
Frequently asked questions
How many SSC CGL Average questions can I practise here?
20 questions — 20 moderate. 15 are shown on this page with answers and explanations, and the practice set draws from all of them.
How should I practise Average for SSC CGL?
Read through a few solved questions first to see the method, then take a timed practice set. Afterwards, check which questions you got wrong or spent longest on and redo those before moving on.