2012 AMC 12A Problem 9
Problem 9 of 25EasierAlgebraNumber Theory
A year is a leap year if and only if the year number is divisible by (such as ) or is divisible by but not by (such as ). The th anniversary of the birth of novelist Charles Dickens was celebrated on February a Tuesday. On what day of the week was Dickens born?
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Solution
From February to February there are ordinary days plus one for each leap day.
One quarter of the years contain a leap day, except giving leap days. So the span is days.
Since the birth day was days before a Tuesday, which is a Friday.
Thus, the correct answer is A.