Question : Sachin Tendulkar has a certain average for 11 innings. In the 12th inning, he scores 120 runs, thereby increasing his average by 5 runs. His new average is:
Option 1: 60
Option 2: 62
Option 3: 65
Option 4: 66
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Correct Answer: 65
Solution : Runs scored in the 12 th innings = 120 runs Let the average in the first 11 innings be $x$. Total runs in 11 innings = $11 × x$ = $11x$ New average = $x + 5$ New average = $\frac{\text{Total runs in 11 innings + Runs in the 12th innings}}{12}$ ⇒ $\frac{11x + 120}{12}$ = $x + 5$ ⇒ $12x + 60$ = $11x + 120$ ⇒ $x$ = $60$ ⇒ New average = 60 + 5 = 65 Hence, the correct answer is 65.
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