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The batting average for 30 innings of a cricket player is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. The lowest score of the player is:

1. 12
2. 15
3. 18
4. 20

Correct answer: 18

Solution

Total runs in 30 innings = 30 × 40 = 1200. Total of remaining 28 innings = 28 × 38 = 1064, so highest + lowest = 1200 − 1064 = 136. Also, highest − lowest = 100. Solving these two equations gives the lowest score as 18.

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