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      Question

      A and B together can do a work in 8 days. If A can alone

      do the same work in 24 days, then in how many days B alone will do the same work?
      A 10 days Correct Answer Incorrect Answer
      B 14 days Correct Answer Incorrect Answer
      C 12 days Correct Answer Incorrect Answer
      D 18 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Total work = Number of days × 1 day’s work (efficiency) Total work = LCM (8, 24) = 24 unit 1 day’s work of (A+B) = 24/8 = 3 unit 1 day’s work of A = 24/24 = 1 unit 1 day’s work of B = 3 - 1 = 2 unit Now, Time taken by B to completed the work = 24/2 = 12 days

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