The fourth innings — Averages Aptitude Question
The fourth innings: A player's average after 3 innings is 42. After the 4th his average becomes 44. Answer and worked solution on CodeKairo.
- Topic: Averages
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 45 seconds
Question
A player's average after 3 innings is 42. After the 4th his average becomes 44. How many runs did he score in the 4th?
Options
- 46
- 48
- 50
- 52
Show the answer and the worked solution
Correct answer: C. 50
Worked solution
- Old total = 126; new total = 4 × 44 = 176.
- Fourth innings = 176 − 126 = 50.
Answer: 50.
The idea
Difference of totals gives the new value. The shortcut 44 + 3 × 2 = 50 gives the same thing.
Shortcut. Fourth innings = old average + new count × rise = 42 + 4 × 2 = 50.
Common trap. "46" — adding the 2-run rise to the new average of 44, forgetting that the innings must also lift the three earlier ones by 2 each.