Question

A batsman played n + 2 innings and got out on all occasions. His average score in these n + 2 innings was 29 runs and he scored 38 and 15 runs in the last two innings. The batsman scored less than 38 runs in each of the first n innings. In these n innings, his average score was 30 runs and lowest score was x runs. The smallest possible value of x is

• A. 2
• B. 3
• C. 4
• D. 1

Answer 1

Answer: (A)

2

Answer 2

The correct answer is (A): $2$

Total score in $(n+2)$ inning = $29×(n+2)$

The total score in n innings = $29(n+2)-38-15$

= $29n+5=30n ⇒ n=5$

Total score in $5$ innings = $30×5=150=37×4+2$