2018 Pascal Problem 17

Suppose that p and q are two different prime numbers and that n = p^2q^2. The number of possible values of n with n < 1000 is

\textbf{(A)}\ 5\quad \textbf{(B)}\ 6\quad \textbf{(C)}\ 4\quad \textbf{(D)}\ 8\quad \textbf{(E)}\ 7

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.