Multiple choice

A batsman scores 92 runs in the 15th innings and thus increases his average by 4. What is his average after the 15th innings?

  1. 40

  2. 32

  3. 35

  4. 36
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the average after 14 innings. Total runs after 14 innings = 14x. After the 15th innings, the total is 14x + 92, and the new average is x + 4. So, (14x + 92) / 15 = x + 4. 14x + 92 = 15x + 60, which gives x = 32. The average after the 15th innings is x + 4 = 36.

AI explanation

Let the average after 14 innings be A, making the total runs 14A. In the 15th innings, he scores 92 runs, so the new total is 14A plus 92 and the new average is A plus 4. This gives the equation (14A plus 92) divided by 15 equals A plus 4. Solving this yields 14A plus 92 equals 15A plus 60, so A equals 32. The average after the 15th innings is 32 plus 4, which is 36.

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