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      Question

      M and N together complete a work in 10 days, while N alone

      does it in 16 days. If the efficiency of M to O is in the ratio 5:6, what is the ratio of efficiencies of N and O?
      A 18:9 Correct Answer Incorrect Answer
      B 25:18 Correct Answer Incorrect Answer
      C 15:4 Correct Answer Incorrect Answer
      D 19:10 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let total work = 80 units {LCM of 10 and 16}

      Efficiency of (M + N) = 80/10 = 8 units/day

      Efficiency of N = 80/16 = 5 units/day

      Therefore, efficiency of M = 8 – 5 = 3 units/day

      Efficiency of O = 3 Γ— (6/5) = 18/5 units/day

      Required ratio = 5 : 18/5 = 25 : 18

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