Problem:
What is the probability that an integer in the set  is divisible by  and not divisible by 
Answer Choices:
A.  
B.  
C.  
D.  
E.  
Solution:
Of the integers that are divisible by , there are that are divisible by both and . So there are that are divisible by and not by , and .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions