666 integers.
There are 130 positive integers less than 1,000 that are divisible by seven but not divisible by 11
There are 544 positive integers less than 1,000 that are either divisible by two or by 11.
130 numbers
There are 90 integers less than 1,000 that are divisible by 11.
To find the number of positive integers less than 1001 that are divisible by either 2 or 5, we use the principle of inclusion-exclusion. First, the count of integers divisible by 2 is ( \left\lfloor \frac{1000}{2} \right\rfloor = 500 ), and those divisible by 5 is ( \left\lfloor \frac{1000}{5} \right\rfloor = 200 ). The count of integers divisible by both 2 and 5 (i.e., by 10) is ( \left\lfloor \frac{1000}{10} \right\rfloor = 100 ). Thus, the total is ( 500 + 200 - 100 = 600 ). Therefore, there are 600 positive integers less than 1001 that are divisible by either 2 or 5.
There are 130 positive integers less than 1,000 that are divisible by seven but not divisible by 11
There are 544 positive integers less than 1,000 that are either divisible by two or by 11.
332
130 numbers
334 of them.
There are 90 integers less than 1,000 that are divisible by 11.
There are 142 of them.The 142th one is (7 x 142) = 994
6
It is 83667.
8 of them.
1,2,3,4,5,6,7,8,9,10 all the way thru 1000.
533