Sara goes to dance class once every 6 days, to karate class once every 12 days and to art class once every 18 days. If she attended all the three classes on 1st April then, on which nearest date will she attend all the three classes again?

4th May

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5th May

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6th May

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7th May

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Solution

The correct option is C 6th May
In order to find the nearest date she will attend all the three classes again after 1st April, we need to find the LCM of 6, 12 and 18.

Multiples of 6 = 6, 12, 18, 24, 36,....
Multiples of 12 = 12, 24, 36, 48,...
Multiples of 18 = 18, 36, 54, 72,....
Common multiples of 6, 12, and 18 = 36 and so on.
CM of 6, 12, 18 = 36

April 1st + 36 days = 6th May (Since April has 30 days)

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