Multiple choice

In an innings, the average of the first 6 batsmen is 50 , while that of the latter 5 batsmen is 20 . If the scores of three batsmen from the first lot and three from the latter are swapped, the average of its first six becomes 40 , then what would the average of latter five become?

  1. 32

  2. 28

  3. 25

  4. 30
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total runs from all 11 batsmen initially: 6×50 + 5×20 = 300 + 100 = 400. After swapping, average of first 6 is 40, so their total = 240. Since total runs remain 400, latter 5 total = 400 - 240 = 160, giving average = 160/5 = 32. The key insight is that swapping doesn't change the overall total. Option A is correct.

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