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Question

Naira goes to music 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?

A
4th May
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B
5th May
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C
6th May
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D
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 least common multiple of 6, 12 and 18.

The multiple of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ........ .

The multiple of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ........ .

The multiple of 18 = 18, 36, 54, 72, 108, , 126, 144, 162, 180, ........ .

The least common muliple of 6, 12 and 18 is 36.

The nearest date she will attend all the three classes again =
April 1st + 36 days = 6th May (Since April has 30 days)

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