How many numbers in the set {1, 2, 3, ..., 100} are neither multiples of 2 nor multiples of 3?
In short, the answer is 33 numbers.
I used a 100s table and eliminated all multiples of 2 and 3 and then counted the remaining numbers.
I'm sure there are other faster ways to do this but this was the first way that came to mind.
Hope it helps!