A big score in the 17th innings — Averages Aptitude Question
A big score in the 17th innings: A batsman's average after 16 innings is 40. He scores 91 in the 17th innings. Answer and worked solution on CodeKairo.
- Topic: Averages
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 45 seconds
Question
A batsman's average after 16 innings is 40. He scores 91 in the 17th innings. What is his new average?
Options
- 42
- 43
- 44
- 45
Show the answer and the worked solution
Correct answer: B. 43
Worked solution
- Runs after 16 innings = 16 × 40 = 640.
- After 17 innings = 640 + 91 = 731.
- New average = 731 ÷ 17 = 43.
Answer: 43.
The idea
Shortcut: the new average rises by (new score − old average) ÷ new count = (91 − 40)/17 = 3. Deviation from the old average is what moves the mean.
Shortcut. Check an option: 17 × 43 = 731, and 16 × 40 + 91 = 640 + 91 = 731 — they match, so 43.
Common trap. 45 — the option nearest 731 ÷ 16 ≈ 45.7, which comes from dividing the new total by the old count of 16 innings instead of 17.