MathDB
What Day of the Week?

Source: 2012 AMC10A Problem #12 and AMC12A #9

February 8, 2012
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Problem Statement

A year is a leap year if and only if the year number is divisible by 400400 (such as 20002000) or is divisible by 44 but not by 100100 (such as 20122012). The 200th200\text{th} anniversary of the birth of novelist Charles Dickens was celebrated on February 77, 20122012, a Tuesday. On what day of the week was Dickens born?
<spanclass=latexbold>(A)</span> Friday<spanclass=latexbold>(B)</span> Saturday<spanclass=latexbold>(C)</span> Sunday<spanclass=latexbold>(D)</span> Monday<spanclass=latexbold>(E)</span> Tuesday <span class='latex-bold'>(A)</span>\ \text{Friday} \qquad<span class='latex-bold'>(B)</span>\ \text{Saturday} \qquad<span class='latex-bold'>(C)</span>\ \text{Sunday} \qquad<span class='latex-bold'>(D)</span>\ \text{Monday} \qquad<span class='latex-bold'>(E)</span>\ \text{Tuesday}