CSAT 2020

Q. The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average Score increases by 2.6. What was his average score in the last ten innings?

(a) 122
(b) 91
(c) 62
(d) 49
Correct Answer: (c) 62

Question from UPSC Prelims 2020 CSAT Paper

Explanation : 

The average score of a batsman ?

The batsman’s performance analysis:

After 50 innings:
– Average score = 46.4
– Total score = 50 × 46.4 = 2320 runs

After 60 innings:
– Average score increased to 49
– Total score = 60 × 49 = 2940 runs

Last 10 innings analysis:
1. Total runs in last 10 innings = Total after 60 innings – Total after 50 innings
= 2940 – 2320 = 620 runs

2. Average score in last 10 innings = Total runs in last 10 innings ÷ Number of innings
= 620 ÷ 10 = 62 runs

Therefore, the batsman’s average score in his last 10 innings was 62 runs.

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