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XAT 2020 Time and Work — Previous Year Question

Paper

XAT 2020

Section

Quantitative

Topic

Time and Work

Difficulty

Hard

Question

XAT 2020

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?

3 days

4 days

2 days

3.5 days

2.5 days

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