Question 29

An office employee works for $$4$$ consecutive days and then has one day off, repeating this pattern. Today is an off-day and a Sunday. The minimum number of days the employee must work before another off-day falls on Sunday is

Correct Answer: 28

Solution

Consecutive off-days are $$5$$ calendar days apart. The first return to Sunday occurs after $$7$$ such cycles because $$5 \times 7=35$$ is divisible by $$7$$. Each cycle contains $$4$$ working days, so the employee works $$7 \times 4=28$$ days.

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An office employee works for $$4$$ consecutive days and then has one day off, repeating this pattern. Today is an off-day and a Sunday. The minimum number of days the employee must work before another off-day falls on Sunday is

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