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XAT Previous Year Paper | XAT QADI Questions | Question 11

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Question 11 : X, Y, and Z are three software experts, who work on upgrading the software in a number of identical systems. X takes a day off after every 3 days of work, Y takes a day off after every 4 days of work and Z takes a day off after every 5 days of work.
Starting afresh after a common day off,
i) X and Y working together can complete one new upgrade job in 6 days
ii) Z and X working together can complete two new upgrade jobs in 8 days
iii) Y and Z working together can complete three new upgrade jobs in 12 days
If X, Y and Z together start afresh on a new upgrade job (after a common day off), exactly how many days will be required to complete this job?

  1. 2 days
  2. 3.5 days
  3. 2.5 days
  4. 4 days
  5. 5 days

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Choice C2.5 days is the correct answer.


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