Manu goes dance class once every 6 days, karate class once in every 12 days and art class once in every 18 days. She attended all the three classes on 1st April. On which day, will she attend all the 3 classes again? [3 Mark]

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Solution

She will go to all the 3 classes on the day which is LCM of 6, 12, 18.

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

LCM $= 2 \times 3 \times 2 \times 3 = 36$ [1 Mark]

If she is attending all the three classes on 1st April then she will attend all the three classes after 36 days which is 7th May. [1 Mark]

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Manu goes dance class once every 6 days, karate class once in every 12 days and art class once in every 18 days. She attended all the three classes on 1st April. On which day, will she attend all the 3 classes again? [3 Mark]

She will go to all the 3 classes on the day which is LCM of 6, 12, 18. 26,12,1823,6,933,3,631,1,31,1,1 [1 Mark] LCM =2×3×2×3=36 [1 Mark] If she is attending all the three classes on 1st April then she will attend all the three classes after 36 days which is 7th May. [1 Mark]