Question

A cricket player after playing 15 tests scored 124 runs in the 16th test. As a result, the average of his runs is increased by 4. The present average of runs is

• A. 55
• B. 64
• C. 60
• D. 68

Hint:

When an average increases after adding a new term, equate the new average formula with the given condition. Always express in terms of \(n\) and \(n+1\) items for clarity.

Answer 1

The Correct Option is B

Step 1: The 124 runs scored in the 16th test must account for the new average itself, plus enough extra to raise each of the earlier 15 innings by 4 runs: \(124 = \text{new average} + 15\times4\).

Step 2: This gives \(124 = \text{new average} + 60\), so the new average \(= 124-60=64\).

Step 3: Checking: if the average before the 16th test was \(60\), the total after 15 tests was \(15\times60=900\); adding 124 gives \(1024\), and \(1024/16=64\), which matches. \[ \boxed{64} \]