Question

Leena has music classes on alternate days, dance class once in 3 days and yoga class once in 5days. On 1st of Jan she had all the 3 classes. When will she have all the 3classes again?

Answer 1

Leena has her classes
Music - alternate day
i.e every 2 nd day
Dance once in 3 days
Yoga once in 5 days
Find lcm of 2, 3and 5
Lcm(2,3,5) =30
Given
On1 jan she has all 3 classes
After 30 days she has again all 3 classes
i. e 31st jan

Answer 2

Solution :-

Leena is having her music classes on alternative days that means every 2nd day she is having her music classes.

She is having dance classes once in every 3 days.

And she is having her yoga classes once in every 5 days.

So, we have to find out L.C.M. of 2, 3 and 5

L.C.M. of 2, 3 and 5 = 30

And she had all her 3 classes on 1st January. So, after 30 days she will be having all her classes again. 

i.e. 1 + 30 = 31st January

Hence, on 31st January, she will have all the three classes again.

Answer.