GMAT Problem Solving (PS) | Re: Let p = the product of all the odd integers between 500 and

Let p = the product of all the odd integers between 500 and 598, and let q = the product of all the odd integers between 500 and 602. In terms of q, what is the value of\(\frac{1}{p}\) +\(\frac{1}{q}\) ?

A.\(\frac{1}{600q}\)
B.\(\frac{1}{359,999q}\)
C.\(\frac{1,200}{q}\)
D.\(\frac{360,000}{q}\)
E.\(359,999q\)