Question : A batsman makes 81 runs in the 16th match and thus increases his average runs per match by 3. What is his average after the 16th match?
Option 1: 35
Option 2: 34
Option 3: 33
Option 4: 36
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Correct Answer: 36
Solution :
Given:
A batsman makes 81 runs in the 16th match and thus increases his average runs per match by 3.
Let his average for 15 innings be $x$.
So, the total number of runs in first 15 innings $= 15x$
According to the question,
$16×(x+3)-15x=81$
⇒ $x=81-48$
$\therefore x =33$
Hence, the correct answer is 33.
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