Manshi goes to dance class once after every 3 days, karate class once after every 5 days and art class once after every 6 days.

If she last attended all the three classes on $1^{st}$ of April, when will she next attend them together?

8^{th}

April

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7^{th}

May

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1^{st}

May

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6^{th}

May

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Solution

The correct option is C $1^{st}$ May
To find when Manshi will next attend the the classes together, we need to find the least common multiple (LCM) of 3, 5 and 6.

Multiples of 3 = 6, 9, 12, 15, 18, 21, 24, 27, 30, .....
Multiples of 5 = 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, ...
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...

30 is the least common multiple of 3, 5 and 6.

Hence, if she attended all three classes on $1^{st}$ of April, then she will next attend them after 30 days.

i.e., 30 days after $1^{st}$ of April = $1^{st}$ of May

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Manshi goes to dance class once after every 3 days, karate class once after every 5 days and art class once after every 6 days. If she last attended all the three classes on 1st of April, when will she next attend them together?

Manshi goes to dance class once after every 3 days, karate class once after every 5 days and art class once after every 6 days.

If she last attended all the three classes on $1^{st}$ of April, when will she next attend them together?