MathDB
Tuesdays

Source:

March 21, 2008
modular arithmetic

Problem Statement

In year N N, the 300th 300^\text{th} day of the year is a Tuesday. In year N \plus{} 1, the 200th 200^{\text{th}} day of the year is also a Tuesday. On what day of the week did the 100th 100^\text{th} day of year N \minus{} 1 occur? <spanclass=′latex−bold′>(A)</span> Thursday<spanclass=′latex−bold′>(B)</span> Friday<spanclass=′latex−bold′>(C)</span> Saturday<spanclass=′latex−bold′>(D)</span> Sunday<spanclass=′latex−bold′>(E)</span> Monday <span class='latex-bold'>(A)</span>\ \text{Thursday} \qquad <span class='latex-bold'>(B)</span>\ \text{Friday} \qquad <span class='latex-bold'>(C)</span>\ \text{Saturday} \qquad <span class='latex-bold'>(D)</span>\ \text{Sunday} \qquad <span class='latex-bold'>(E)</span>\ \text{Monday}
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