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    Question

    A cricketer whose bowling average is 28.25 runs per wicket takes 2 wickets for 73 runs and thereby increases his average by 0.75. The number of wickets taken by him beforethe last match was;

    A 40 Correct Answer Incorrect Answer
    B 32 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 46 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the no. of wickets taken beforethe last match be n. Total runs at 28.25 runs per wickets = 28.25n Total runs after the current match = 28.25n + 73 Total no. of wickets after the current match = n + 2 Bowling average after the current match ⇒ (28.25n + 73 )/(n + 2) = 28.25 + 0.75 ⇒( 28.25n + 73 )/ (n + 2) = 29 Or, 28.25n + 73 = 29n + 58 Or, 0.75n = 73-58 Or, n = 15/.75 = 20

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