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?

7th May

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5th May

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6th May

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4th 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.

$\begin{matrix} 2 & 6, 12, 18 3 & 3, 6, 9 2 & 1, 2, 3 3 & 1, 1, 3 1, 1, 1 \end{matrix}$

LCM of 6, 12, 18
$= 3 \times 2 \times 2 \times 3 = 36$

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

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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?

The correct option is C 6th MayIn 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. 26,12,1833, 6, 921, 2, 331, 1, 31, 1, 1 LCM of 6, 12, 18 =3×2×2×3=36 April 1st + 36 days = 6th May (Since April has 30 days)