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A batsman in his 16th innings makes a score of 92 runs, thereby increases his average by 4. What is his average after 16 innings?
1. 32
2. 31
3. 33
4. 36

1 Answer

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Correct Answer - Option 1 : 32

Given

A batsman in his 16th innings makes a score of 92 runs and thereby increases his average by 4. 

Concept used

Average = Sum of all observations / Total number of observations 

Or we can write it as,

Sum of all observations = Average × Total number of observations   

Calculation

Suppose the average run after 15th innings was x.

As per the question,

Total runs after 16 innings = 15x + 92

Total runs after 16 innings = 16(x + 4)

⇒ 15x + 92 = 16x + 64

⇒ x = 28

Average runs after 16th innings = 28 + 4 = 32 Runs

∴ Average runs after 16th innings is 32

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