Problem:
The letters and the digits are "cycled" separately as follows and put in a numbered list:
What is the number of the line on which will appear for the first time?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The letters will go through a complete cycle every lines and the numbers every lines. The letters and numbers together will go through a complete cycle every LCM times. Thus AJHSME occurs for the first time on the th line.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions