Alex and Roy clean their cars every 4th and 6th day, respectively. If both of them have cleaned their cars today, how many times will they do so on the same day in next 60 days?

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Solution

The correct option is A 5
The common days of cleaning their cars will be the common multiples of 4 and 6.

Multiple of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.
Multiple of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
So, Common multiples (upto 60) = 12, 24, 36, 48, 60.

Therefore, 5 times both of them will clean their cars on the same day in next 60 days.

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