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One of every three numbers is divisible by three. Therefore, 1000/3 (rounded down) tells you how many numbers in that range are divisible by 3. Similar for the number 7.

Now, if you add the two, you'll be counting all the multiples of 21 (which is 3 x 7) double. Therefore, you must calculate 1000 / 21 (rounded down), and subtract that from the previous result.

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10y ago
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Q: How many numbers between 1 to 1000 are divisible by 3 or 7?
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