AMC 12 2012a Problem 9

A year is a leap year if and only if the year number is divisible by $400$ (such as $2000$) or is divisible by $4$ but not by $100$ (such as $2012$). The $200\text{th}$ anniversary of the birth of novelist Charles Dickens was celebrated on February $7$, $2012$, a Tuesday. On what day of the week was Dickens born?

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