Problem:
For how many positive integer values of are both and three-digit whole numbers?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Because is at least and is an integer, is at least and is a multiple of . Because is at most is at most . The possible values of are , so the number of possible values is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions