220k views
3 votes
How many positive integers leave a remainder of 11 when divided into 1000​

User Dzenesiz
by
5.3k points

1 Answer

4 votes

Explanation:

The number of positive integers divisible by 7 but not by 11 is 142 - 12 = 130. ==>the number of positive integers less than 1000 that are divisible by either 7 or 11 is 142 + 90 - 12 = 220. ==>the number of positive integers less than 1000 that are divisible by exactly by one of 7 and 11 is 220 - 12 = 208.

User Kassens
by
5.4k points