Question

4 boys visit a garden after every 3, 5, 2 and 6 days, respectively. How many times in a year will they visit the garden on the same day? Consider counting is done from the start of the year

Answer 1

Answer:

Answer is 12 times in a year

Step-by-step explanation:

From the information provided, all the four boys will visit the garden on the same day, every 30 days.

This is because LCM of 3,5,2 and 6 is 30.

Thus, in a period of 365 days (one year) such common day visits will occur 12 times.

How do we get 30?

First boy visits on days:

3,6,9,12,15,18,21,24,27,30, 33...

Second: 5,10,15,20,25,30,35...

Third: 2,4,6,8,10,12,14,16,18,20,22,24,6,28,30,32..

Fourth: 6,12,18,24,30,36....

Note that the common day will occur every 30 days