Problem:
In a certain year, January had exactly four Tuesdays and four Saturdays. On what day did January fall that year?
Answer Choices:
A. Monday
B. Tuesday
C. Wednesday
D. Friday
E. Saturday
Solution:
January has days. Had January fallen on a Monday or Tuesday, then there would have been five Tuesdays - , 23,30 or . Likewise, had January fallen on a Friday or Saturday, there would have been five Saturdays. Thus is correct.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions