Multiple Choice Questions on Five men and 2 women can do a piece of work in 9 days whereas 11 men and 5 women can do the same wor........... for SSC (MTS) Preparation

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Quantitative Aptitude (MTS)

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    Five men and 2 women can do a piece of work in 9 days, whereas 11 men and 5 women can do the same work in 4 days. To

    complete the same work in 6 days, the number of women required is:

    This questions was previously asked in
    SSC MTS 27th October 2021 Shift-2

    20

    Incorrect Answer

    18

    Correct Answer

    15

    Incorrect Answer

    16

    Incorrect Answer
    Explanation:

    - Let's denote the work done by one man in one day as M and by one woman in one day as W.

    - The equation from the first scenario is: \(5M + 2W = \frac{1}{9}\) of the work.

    - The equation from the second scenario is: \(11M + 5W = \frac{1}{4}\) of the work.

    - Solving these equations gives the rates for M and W.

    - For completion in 6 days, let the number of women required be X with 8 men, so \(8M + XW = \frac{1}{6}\) of the work.

    - Substituting values from M and W, solve for X.

    ?? Option:2 - 18 is the correct answer according to these calculations.


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