Challenge Level

How many integers between 1 and 1200 are multiples of 2?

How many integers between 1 and 1200 are multiples of 3?

How many integers between 1 and 1200 are multiples of 5?

Some integers are multiples of both 2 and 3, of both 2 and 5, of both 3 and 5...

Some integers are multiples of 2, 3 and 5...

Can the Venn diagram in the question help, if you consider that the multiples of 2, 3 and 5 each correspond to one of the sets (circles)?