Problem:
How many numbers between and are integer multiples of or but not ?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Between and , there are multiples of , multiples of , and multiples of . So there are
numbers between and that are integer multiples of or of but not of .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions