A score in the 17th innings — Averages Aptitude Question
A score in the 17th innings: A batsman's average after 16 innings is 40. He scores 91 in the 17th. Answer and worked solution on CodeKairo.
- Topic: Averages
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 50 seconds
Question
A batsman's average after 16 innings is 40. He scores 91 in the 17th. What is his new average?
Options
- 41
- 42
- 43
- 44
Show the answer and the worked solution
Correct answer: C. 43
Worked solution
- Runs after 16 innings = 640.
- After 17 innings = 731.
- New average = 731 ÷ 17 = 43.
Answer: 43.
The idea
The average moves by (new score − old average) ÷ new count = (91 − 40)/17 = 3. Deviation from the old average is what shifts a mean.
Shortcut. Back-check the options: a new average of 43 needs the 17th innings to be 43 + 16 × 3 = 91 — exactly the score given.
Common trap. "44" — it feels right because 91 is more than double 40, but 44 would need 44 + 16 × 4 = 108 in the 17th innings.