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There will be (200-100)/2+1 = 51 numbers divisible by 2.

There will be Floor[(200 - 100)/3] = 33 numbers divisible by 3.

Multiples of 6 from the 17th through the 33rd will be counted twice by the sum of these numbers (51+33). There are 17 of them.

That means the count of numbers you are interested in is 51+33-17 = 67.

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Q: How many nos are there between 100 and 200 both inclusive and divisible by 2 or 3?
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