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Positive integers less than 1000

Updated: 4/28/2022
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9y ago

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1,2,3,4,5,6,7,8,9,10 all the way thru 1000.

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9y ago
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Q: Positive integers less than 1000
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How many positive integers less than 1000 are not divisible by 3?

666 integers.


How many positive integers less than 1000 are either divisible by 2 or by 11?

There are 544 positive integers less than 1,000 that are either divisible by two or by 11.


How many positive integers less than 1000 are divisible by 7 and are not divisible by 11?

There are 130 positive integers less than 1,000 that are divisible by seven but not divisible by 11


How many positive integers less than 1000 have distinct digits and are even?

405


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52


How many positive integers less than 1000 are not divisible neither by 2 or 3?

332


How many positive integers less than 1000 are divisible by 7 but not by 11?

130 numbers


How many positive integers less than 1000 are not divisible neither by 2 nor 3?

334 of them.


How many positive integers less than 1000 have distinct digits?

10*9*8=720


Which has more elements the set of positive odd integers less than 50 or the set of positive even integers less than 50?

The set of positive odd integers.


What is the Sum of the positive non-multiples of three that are less than 1000?

That would be equal to the sum of all positive integers less than 1000 minus the sum of all positive multiples of three that are less than 1000. That would be equal to: (1000 + 1) * (1000 / 2) - 3 * (333 + 1) * (333 / 2) = 1001 * 500 - 1000 * 166.5 = 500500 - 166500 = 334000


How many positive integers less than 1000 are there such that the digits are not strictly increasing order from left to right?

There are 870 such numbers.