Multiple choice

Rakesh played 24 matches in year 2015. He scored 134 runs in the 24th match and this increased his overall average for the year 2015 by 4. What was his new average for the year 2015?

  1. 32

  2. 34

  3. 42

  4. 52

  5. 38
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the average of 23 matches be x. Total runs = 23x. After 24th match, (23x + 134) / 24 = x + 4. 23x + 134 = 24x + 96. x = 38. New average = x + 4 = 42.

AI explanation

Using the deviation method, the 134 runs scored in the 24th match must equal the new average plus the 4-run increase applied to the previous 23 matches. This gives the equation 134 = x + (23 * 4), where x is the new average. Solving for x gives x + 92 = 134, so x = 42. Thus, his new average for the year 2015 is 42.

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