1956 AHSME Problem 44

If x < a < 0 means that x and a are numbers such that x is less than a and a is less than zero, then:

\begin{array}{l} \textbf{(A)}\ x^2 < ax < 0 \qquad \textbf{(B)}\ x^2 > ax > a^2 \qquad \textbf{(C)}\ x^2 < a^2 < 0 \\ \textbf{(D)}\ x^2 > ax\text{ but }ax < 0 \qquad \textbf{(E)}\ x^2 > a^2\text{ but }a^2 < 0 \end{array}

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