1986 AJHSME Problem 14

If 200\leq a \leq 400 and 600\leq b\leq 1200, then the largest value of the quotient \frac{b}{a} is

\text{(A)}\ \frac{3}{2} \qquad \text{(B)}\ 3 \qquad \text{(C)}\ 6 \qquad \text{(D)}\ 300 \qquad \text{(E)}\ 600

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