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Select the correct answerThe average 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?Options54606757

Question

Select the correct answerThe average 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?Options54606757

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Solution

To solve this problem, we need to understand that the sixth inning is counted in both the first six innings and the last six innings.

Step 1: Calculate the total runs scored in the first six innings and the last six innings.

The total runs scored in the first six innings = average of first six innings * number of innings = 60 * 6 = 360 runs.

The total runs scored in the last six innings = average of last six innings * number of innings = 65 * 6 = 390 runs.

Step 2: Calculate the total runs scored in all 11 innings.

The total runs scored in 11 innings = average of 11 innings * number of innings = 63 * 11 = 693 runs.

Step 3: Calculate the runs scored in the sixth inning.

The runs scored in the sixth inning = (total runs in first six innings + total runs in last six innings) - total runs in 11 innings = (360 + 390) - 693 = 57 runs.

So, the correct answer is 57.

This problem has been solved

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