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There are no numbers that are divisible by 21 but not by 7 so the "or 21" part of the question can be ignored.

There are 166 numbers between 1 and 1000 that are divisible by 6. However, 23 of those are also divisible by 7.

So 166 - 23 = 143 numbers.

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โˆ™ 2011-08-02 17:28:19
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Q: How many integers between 1 and 1000 inclusive are divisible by 6 or 21 but not by 7?
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