2000 AMC 10 Problem 25

In year N, the 300^\text{th} day of the year is a Tuesday. In year N+1, the 200^\text{th} day is also a Tuesday. On what day of the week did the 100^\text{th} day of year N-1 occur?

\textbf{(A)}\ \text{Thursday} \qquad\textbf{(B)}\ \text{Friday} \qquad\textbf{(C)}\ \text{Saturday} \qquad\textbf{(D)}\ \text{Sunday} \qquad\textbf{(E)}\ \text{Monday}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.