2004 AMC 8 Problem 13

Amy, Bill and Celine are friends with different ages. Exactly one of the following statements is true.

I. Bill is the oldest. II. Amy is not the oldest. III. Celine is not the youngest.

Rank the friends from the oldest to the youngest.

\begin{array}{l} \textbf{(A)}\ \text{Bill, Amy, Celine}\qquad \textbf{(B)}\ \text{Amy, Bill, Celine}\qquad \textbf{(C)}\ \text{Celine, Amy, Bill}\\ \textbf{(D)}\ \text{Celine, Bill, Amy} \qquad \textbf{(E)}\ \text{Amy, Celine, Bill} \end{array}

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