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The averages of runs scored by a cricket player in 11 innings is 63 and the average of his first six innings is 60 and the average of last six innings is 65. Find the runs scored by him in the sixth innings.
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- 60
- 54
- 67
- 57
- 60
Correct Option: D
Here , The averages of runs scored by a cricket player in 11 innings = 63
Sum of runs scored in 11 innings = 11 × 63
The average of his first six innings = 60
Sum of runs scored in first six innings = 6 × 60
and the average of last six innings = 65
Sum of runs scored in last six innings = 6 × 65
∴ Runs scored by the cricketer in the 6th innings = 6 × 60 + 6 × 65 – 11 × 63
Runs scored by the cricketer in the 6th innings = 360 + 390 – 693 = 57
