2016 AMC 8 Problem 5

The number N is a two-digit number.

• When N is divided by 9, the remainder is 1.

• When N is divided by 10, the remainder is 3.

What is the remainder when N is divided by 11?

\textbf{(A) }0\qquad\textbf{(B) }2\qquad\textbf{(C) }4\qquad\textbf{(D) }5\qquad \textbf{(E) }7

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