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In a cricket match an over contains six balls. In a T-20 Cricket match it was already 5 balls bowled in the last over. If Sachin hits six for the last ball the mean becomes 4 runs per ball in the over. But Sachin hits four runs. Then the mean score per ball in that over is A) 3 B) \(3\frac{2}{3}\)C) 4 D) 6 |
Answer» Correct option is (B) 3 2/3 Let sum of scored runs on first 5 balls in the last over is x. After hitting 6 on last ball of the over, the mean score becomes 4 runs per ball. \(\therefore\) \(\frac{x+6}6=4\) \(\Rightarrow\) \(\frac{x}6+1=4\) \(\Rightarrow\) \(\frac{x}6=4-1=3\) \(\Rightarrow\) x = 6 \(\times\) 3 = 18 Hence, the sum of scored runs on first 5 balls in the last over is 18. Given that Sachin scored 4 runs on last ball. \(\therefore\) Mean \(=\frac{18+4}6\) \(=\frac{22}6\) \(=3\frac46\) \(=3\frac23\) Hence, the mean score per ball in that over is \(3\frac23.\) Correct option is B) 3 2/3 |
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