Discussion

Explanation:

A batsman has an average of 30 runs in his 42 inning.The difference between his maximum and minimum score is 100. If these two innings are removed his average for 40 innings comes down to 28. What is his minimum score?

Total score of batsman across all 42 innings = 42 × 30 = 1260
Total score of batsman across 40 innings (excluding highest and lowest innings) = 40 × 28 = 1120

∴ Runs scored by him in the 2 innings with higest and lowest scores = 1260 - 1120 = 140

Let his score in lowest innings is x, hence his score in highest innings = x + 100
⇒ x + x + 100 = 140
⇒ x = 20

Hence, option (a).

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