Multiple Choice Questions on 3 men 4 women and 6 boys together can complete a work in 6 days A woman does triple the work a man d........... for SSC CGL Exam Preparation

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    3 men, 4 women and 6 boys together can complete a work in 6 days. A woman does triple the work a man does and a boy does

    half the work a man does. How many women alone will be able to complete this work in 4 days?

    This questions was previously asked in
    SSC CGL 13 June 2019 Shift-3

    7

    Incorrect Answer

    8

    Incorrect Answer

    6

    Incorrect Answer

    9

    Correct Answer
    Explanation:

    - Let's assign a variable M to represent the work done by a man per day.

    - Hence, a woman does 3M work per day, and a boy does M/2 work per day.

    - In the given scenario, the daily work done by the group is:

    - 3 men = 3M

    - 4 women = 4 × 3M = 12M

    - 6 boys = 6 × (M/2) = 3M

    - Total = 3M + 12M + 3M = 18M

    - Therefore, the work is completed in 6 days, so total work is 18M × 6 = 108M.

    - If women alone need to complete this work in 4 days, they must do 108M work in 4 days.

    - Hence, the required number of women is 108M ÷ (3M × 4) = 9 women.

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