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How many numbers less than or equal to 100 are divisible by either 2 or 3, but not by 4?

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Answer:

We are looking for numbers less than or equal to 100 that are divisible by either 2 or 3, but not by 4.

We have these numbers (n is an integer ≥ 0):

2 + 4n (0 < n < 24)--25 total

3 + 6n (0 < n < 16)--16 total

There are 41 total numbers.

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