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X can do a work in 15 days and Y in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

  • A.1/4
  • B.1/10
  • C.7/15
  • D.8/15

Answer: D

X's 1 day's work = 1/15. Y's 1 day's work = 1/20. Together, their 1 day's work = \(1/15 + 1/20 = (4+3)/60 = 7/60\). Work done in 4 days = \(4 \times (7/60) = 28/60 = 7/15\). Remaining work = \(1 - 7/15 = 8/15\).

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