Problem:
The smallest positive integer greater than that leaves a remainder of when divided by , and lies between which of the following pairs of numbers?
Answer Choices:
A. and
B. and
C. and
D. and
E. and
Solution:
The least common multiple of , and is . Numbers that leave a remainder of when divided by , and are more than a whole number multiple of . So the smallest positive number greater than that leaves a remainder of when divided by , and is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions