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    Question

    β€˜n’ men working 12 hours a day can complete a work

    in 15 days while (3n – 8) men working 12 hours a day can complete the same work in 9 days. In how many days can (n + 2) men working 5 hours a day complete the same work?
    A 22 days Correct Answer Incorrect Answer
    B 27 days Correct Answer Incorrect Answer
    C 25 days Correct Answer Incorrect Answer
    D 26 days Correct Answer Incorrect Answer

    Solution

    According to the question, (n Γ— 12 Γ— 15) = {(3n – 8) Γ— 12 Γ— 9} => 5n = 9n – 24 => n = 6 Let the number of days taken by (n + 2) = 8 men be β€˜x’ days Therefore, (6 Γ— 12 Γ— 15) = (8 Γ— 5 Γ— x) Therefore, x = 27 days

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