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Manish can complete a work in 21 days and Karan can complete the same work in 28 days. If both together work for 7 days, then what fraction…

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Manish can complete a work in 21 days and Karan can complete the same work in 28 days. If both together work for 7 days, then what fraction of total work is left?
  • A3/5
  • B2/3
  • C7/12
  • D5/12
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Discussion 1

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CCommunity
Work done in 1 day by Manish = 1/21

Work done in 1 day by Karan = 1/28

Work done in 1 day by both = 1/21 + 1/28 = 1/12

Work done in 7 day by both = 7/12

∴ Remaining work = 1 - 7/12 = 5/12