Problem:
A clock chimes once at minutes past each hour and chimes on the hour according to the hour. For example, at PM there is one chime and at noon and midnight there are twelve chimes. Starting at AM on February , , on what date will the chime occur?
Answer Choices:
A. March
B. March
C. March
D. March
E. March
Solution:
In any twelve-hour period, there are half-hour chimes and on-the-hour chimes. Hence, a twelve-hour period results in chimes. Dividing by yields a quotient of . Therefore the chime will occur a little more than days later, on .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions