1985 AJHSME Problem 20
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Problem
In a certain year, January had exactly four Tuesdays and four Saturdays. On what day did January 
fall that year?
Solution
January has 31 days. If January 1 was on Monday or Tuesday, then there would have been 5 Tuesdays in the month. Similarly, if January 1 was on a Friday or Saturday, then there would have been 5 Saturdays in the month. Therefore, the answer is 
