MathDB
AMC 8 2004 Problem 13

Source:

November 28, 2010

Problem Statement

Amy, Bill and Celine are friends with different ages. Exactly one of the following statements is true.
\begin{align*}\text{I.}&\text{ Bill is the oldest.}\\ \text{II.}&\text{ Amy is not the oldest.}\\ \text{III.}&\text{ Celine is not the youngest.}\end{align*}
Rank the friends from the oldest to the youngest.
<spanclass=latexbold>(A)</span> Bill, Amy, Celine<spanclass=latexbold>(B)</span> Amy, Bill, Celine<spanclass=latexbold>(C)</span> Celine, Amy, Bill<spanclass=latexbold>(D)</span> Celine, Bill, Amy<spanclass=latexbold>(E)</span> Amy, Celine, Bill<span class='latex-bold'>(A)</span>\ \text{Bill, Amy, Celine}\qquad <span class='latex-bold'>(B)</span>\ \text{Amy, Bill, Celine}\qquad <span class='latex-bold'>(C)</span>\ \text{Celine, Amy, Bill}\qquad \\ <span class='latex-bold'>(D)</span>\ \text{Celine, Bill, Amy}\qquad <span class='latex-bold'>(E)</span>\ \text{Amy, Celine, Bill}