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    Question

    In how many ways a Cricketer can make a Double century with fours and Sixes only?

    A 20 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 24 Correct Answer Incorrect Answer
    D 17 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The possible number of ways are. Every 3 fours = 2 sixes = 12 runs Therefore, every new combination is in the difference of 12 runs. 8 is the lowest score for which fours are required and 200 is the maximum score for which fours are required. Therefore, number of possible ways = ((200-8)/12) + 1 = 17

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