1986 AHSME Problem 4

Let S be the statement "If the sum of the digits of the whole number n is divisible by 6, then n is divisible by 6."

A value of n which shows S to be false is

\textbf{(A)}\ 30 \qquad \textbf{(B)}\ 33 \qquad \textbf{(C)}\ 40 \qquad \textbf{(D)}\ 42 \qquad \textbf{(E)}\ \text{ none of these}

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