Problem:
Marvin had a birthday on Tuesday, May in the leap year . In what year will his birthday next fall on a Saturday?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
A non-leap year has days, and , so there are weeks and day in a non-leap year. Because May was after leap day in , Marvin's birthday fell on Wednesday in , and will fall on Thursday in and Friday in . His birthday will be on Sunday in the leap year , Monday in , Tuesday in , Wednesday in , Friday in , and Saturday in .
The problems on this page are the property of the MAA's American Mathematics Competitions