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    Question

    2 assistants are as efficient as one senior officer. If 40

    assistants prepare 100 reports in 5 days, how many senior officers are needed to prepare 100 reports in 2 days?
    A 28 Correct Answer Incorrect Answer
    B 68 Correct Answer Incorrect Answer
    C 90 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of each assistant be 'x' units/day

    Efficiency of each officer = 2x units/day

    Let the number of officers be 'm'

    (40x × 5)/100 = (2x × m × 2)/100

    ⇒ 4m = 200

    ⇒ m = 50

    Therefore, 50 senior officers are needed to complete the reports in 2 days.

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