Question : The average number of runs scored by a cricket player in 11 innings is 63, the average of his first six innings is 60, and the average of his last six innings is 65. Find the runs scored by him in the sixth inning.
Option 1: 60
Option 2: 54
Option 3: 67
Option 4: 57
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Correct Answer: 57
Solution :
Given: The average score of runs in 11 innings is 63.
So, the total number of runs = (11 × 63) = 693
The average score of the first 6 innings is 60.
So, the total runs in the first 6 innings is 6 × 60 = 360
The average score of his last 6 innings is 65.
So, the total runs in the last 6 innings is 6 × 65 = 390
Total runs scored in the 6th inning = 360 + 390 – 693 = 750 – 693 = 57
Hence, the correct answer is 57.
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