UPSC Prelims 2020·CSAT·Quantitative Aptitude·Arithmetic

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?

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Last updated 23 May 2026, 3:31 pm IST
  1. A122
  2. B91
  3. C62Correct
  4. D49

Explanation

The average score after 50 innings was 46.4, so the total score after 50 innings was 46.4 * 50 = 2320. After 60 innings, the average score increased by 2.6. The new average score is 46.4 + 2.6 = 49. The total score after 60 innings was 49 * 60 = 2940. The total score in the last ten innings (from 51st to 60th) is the difference between the total score after 60 innings and the total score after 50 innings: 2940 - 2320 = 620. To find the average score in the last ten innings, divide this total by the number of innings (10): 620 / 10 = 62. Therefore, the average score in the last ten innings was 62. Analyzing the options: A) 122 - Incorrect. This would imply a much higher total score for the last 10 innings. B) 91 - Incorrect. This is also too high. C) 62 - Correct. This matches our calculation. D) 49 - Incorrect. This is the new overall average after 60 innings, not the average for the last 10 innings. The final answer is C.
Quantitative Aptitude: The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average Score increases by 2.6.

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