Question : In a match, the average number of runs scored by five players is 49. If the runs scored by four players are 75, 30, 62, and 21 respectively, then how many runs did the fifth player score?
Option 1: 43
Option 2: 49
Option 3: 57
Option 4: 89
Correct Answer: 57
Solution : Given: The average of runs scored by 5 players = 49 Runs of four players = 75, 30, 62 and 21 Let the runs scored by the fifth player be $f$. Average runs = $\frac{\text{Total runs}}{\text{Total number of players}}$ ⇒ $49 =\frac{(75 + 30 + 62 + 21 + f)}{5}$ ⇒ 188 + $f$ = 245 $\therefore f$ = 57 Hence, the correct answer is 57.
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