2008 AMC 8 Problem 3

Attempt Problem 3 of the 2008 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2008 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

3.

If February is a month that contains Friday the 1313th, what day of the week is February 1?1?
Sunday
Monday
Wednesday
Thursday
Saturday
Answer: A
Concepts:date and timemodular arithmetic
Small hint:
Dates one week apart fall on the same weekday.
Big hint:
Compare February 1313 to February 6,6, then count back to February 1.1.
Solution:
Since the 1313th is a Friday, we know that the 66th is also a Friday. The 11st is 55 days before the Friday, making it a Sunday.
Thus, the answer is A .
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