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    Question

    The average age of 11 players of a cricket team is

    increased by 2 months, when two of them aged 20 years and 21 years, respectively, are replaced by two new players. Find the average age of the two new players (in years).
    A 21(5/12) Correct Answer Incorrect Answer
    B 20(1/2) Correct Answer Incorrect Answer
    C 18(5/12) Correct Answer Incorrect Answer
    D 18(1/4) Correct Answer Incorrect Answer

    Solution

    ATQ,

    Old players' ages: 20 + 21 = 41 Avg. increase = 2 months = 1/6 year Total increase = 11 × 1/6 = 11/6 New players' total age = 41 + 11/6 = 257/6 Average = (257/6) ÷ 2 = 257/12 = 21 (5/12) years

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