The number of odd integers between $\frac{17}{4}$ and $\frac{35}{2}$ is
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
We note that $\frac{17}{4}=4 \frac{1}{4}$ and $\frac{35}{2}=17 \frac{1}{2}$.

Therefore, the integers between these two numbers are the integers from 5 to 17, inclusive. The odd integers in this range are $5,7,9,11,13,15$, and 17 , of which there are 7 .

ANSWER: (D)