Problem:
Leap Day, February , , occurred on a Sunday. On what day of the week will Leap Day, February , , occur?
Answer Choices:
A. Tuesday
B. Wednesday
C. Thursday
D. Friday
E. Saturday
Solution:
In the years from through , Each Leap Day occurs days after the preceding Leap Day. When is divided by the remainder is . So the day of the week advances days for each -year cycle. In the four cycles from to , the Leap Day will advance days. So Leap Day in will occur one day of the week earlier than in , that is, on a .
The problems on this page are the property of the MAA's American Mathematics Competitions