1997 Pascal Problem 11

Twelve balloons are arranged in a circle as shown. Counting clockwise, every third balloon is popped. C is the first one popped. This continues around the circle until two unpopped balloons remain. The last two remaining balloons are

\textbf{(A)} B, H \textbf{(B)} B, G \textbf{(C)} A, E \textbf{(D)} E, J \textbf{(E)} F, K

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.