How many positive integers less than or equal to 10,000 are divisible by 2, 5 or 10?
I think you mean simultaneously by 2, 5, and 10, right? If so:
Then every number with units digit of 0 from 10 to 10000.
We can do the equation 10,000/10.
That means 1,000 such numbers.
Yay!