A cricketer has a batting average of 50 runs over 40 innings. The difference between his highest and lowest scores is 172 runs. I…

Question

A cricketer has a batting average of 50 runs over 40 innings. The difference between his highest and lowest scores is 172 runs. If the highest and lowest scores are excluded, the average of the remaining 38 innings is 48. What was the cricketer's highest score?

1. A. 114
2. B. 131
3. C. 125
4. D. 174 (Correct answer)

Correct Answer

Option D — 174

Detailed Solution & Explanation

The correct answer is 174.

Key Points

• 40 innings, avg 50 → total=2000. 38 innings (excl.
• H and L), avg 48 → subtotal=1824. H+L=176, H−L=172. H=(176+172)/2=174.