Multiple Choice Questions on 2 men and 5 women can do a work in 12 days 5 men and 2 women can do that work in 9 days Only 3 women........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

2 men and 5 women can do a work in 12 days 5 men and 2 women can do that work in 9 days Only 3 women...........

Quant (SSC) Time and work
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    2 men and 5 women can do a work in 12 days. 5 men and 2 women can do that work in 9 days. Only 3 women can finish the same work in

    36 days

    Correct Answer

    21 days

    Incorrect Answer

    30 days

    Incorrect Answer

    42 days

    Incorrect Answer
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    Explanation:

    As per the questions,
    (2M + 5W) × 12 ≡ (5M + 2W) × 9
    ⇒ 24 M + 60 W ≡ 45 M + 18 W
    ⇒ 42 W ≡ 21 M
    ⇒ 2W ≡ 1M
    ∴  2M + 5W ≡ 9W
    ∴  M1D1 = M2D2
    ⇒  9 × 12 = 3 × D2
    ⇒ D2 = 9 x 12 /3 = 36 days

    By: Amit Kumar
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