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imc

number theory intermediate

Problem

Leap Day, February , , occurred on a Sunday. On what day of the week will Leap Day, February , , occur?
(A)
(B)
(C)
(D)
(E)
Solution
There are days in a year, plus extra day if there is a Leap Day, which occurs on years that are multiples of (with a few exceptions that don't affect this problem). Therefore, the number of days between Leap Day and Leap Day is: Since the days of the week repeat every days and , the day of the week Leap Day occurs is the day of the week the day before Leap Day occurs, which is .
Final answer
E