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How many integers less than 1000 are divisible by 11?

There are 90 integers less than 1,000 that are divisible 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 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 not divisible by 3?

666 integers.


How many positive integers less than 200 are divisible by 2 3 5?

6


What is the sum of all positive integers less than 10000 that are divisible by three but not divisible by two?

It is 83667.


How many positive integers less than 100 and divisible by 3 are also divisible by 4?

8 of them.


How many positive integers less than 200 divisible by 7 and 3?

Nine of them.


What is the number of positive integers less than 6000 which are divisible by 5 but not by 9?

533


How many integers less than 1000 are divisible than 3?

333 (including 3 itself).


How many positive integers less than or equal to 10000 are divisible by 2 5 or 10?

To find how many positive integers less than or equal to 10,000 are divisible by 2, 5, or 10, we can use the principle of inclusion-exclusion. The count of integers divisible by each is: Divisible by 2: ( \frac{10000}{2} = 5000 ) Divisible by 5: ( \frac{10000}{5} = 2000 ) Divisible by 10: ( \frac{10000}{10} = 1000 ) Applying inclusion-exclusion, we have: [ 5000 + 2000 - 1000 = 6000 ] Thus, there are 6000 positive integers less than or equal to 10,000 that are divisible by 2, 5, or 10.


How many positive integers less than 100 are divisible-by 3 5 and 7?

To find how many positive integers less than 100 are divisible by 3, 5, and 7, we first calculate their least common multiple (LCM). The LCM of 3, 5, and 7 is 105. Since 105 is greater than 100, there are no positive integers less than 100 that are divisible by all three numbers. Therefore, the answer is 0.