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1. A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15days. A, B and C together can complete it in:

  • A. 12 days
  • B. 12 days
  • C. 12 days
  • D. 12 days

Answer: Option D

Explanation:

A & B can do in 1 day = 1/12 work
B & C can do in 1 day = 1/20 work
C & A can do in 1 day = 1/15 work
2(A&B&C) can do in 1 day = 1/12 + 1/20 + 1/15 = 12/60 = 1/5 work.
A&B&C can do in 1 day = 1/(5 × 2) = 1/10 work.
Required number of days = 1/(1/10) = 10 days. Ans: D.

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