Q: How many numbers in the range of 1 to 1000 are divisible by 7 but not by 3?

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333 of them.

There are 12 multiples of 77 in that range.

There are 199 multiples of 5 in that range. There are 128 multiples of 7 in that range. There are 28 numbers on both lists. 1000 - 299 = 701

142 of them.

142 of them.

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333 of them.

500 numbers in the range [1, 1000] are divisible by 2.

How many numbers are divisible by 9 between 5 and 1000²

There are 12 multiples of 77 in that range.

The first number in this range divisible by 9 is 9 itself...9 = 1 x 9 The last number in the range is 999 = 111 x 9 So there are 111 numbers between 1 and 1000 that are divisible by 9.

There are 166 multiples of 6 in that range. There are 100 multiples of 10 in that range. There are 33 numbers on both lists. 266 - 33 = 233

There are 166 multiples of 6 in that range. There are 100 multiples of 10 in that range. There are 33 numbers on both lists. 266 - 33 = 233

There are 199 multiples of 5 in that range. There are 128 multiples of 7 in that range. There are 28 numbers on both lists. 1000 - 299 = 701

There are 66 numbers between 1 and 1,000 that are divisible by 15.

125 (including 1000)

There are 267 such numbers.

There are 90 such numbers.