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    Question

    The average age of 'p' employees in an office is (p - 8) years. When two managers aged 56 years and 40 years join the office, the average age of all individuals in the office increases by 2 years. Calculate the total number of employees in the office.

    A 25 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 27 Correct Answer Incorrect Answer
    D 32 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, p × (p – 8) + 56 + 40 = (p + 2)(p – 8 + 2) Or, p2 – 8p + 96 = p2 + 2p – 6p – 12 Or, 96 + 12 = -4p + 8p Or, 4p = 108 Or, p = 27 Required number of employees = 27

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