ExplanationAs soon as you see variables in the answer choices, set up your scratch paper to Plug In.

Start with easy numbers like p = 3 and q = 5, and eliminate any answer choice that doesn’t yield an odd result.

Choice A is 15, so keep it.

Choice B is 30, so eliminate choice B.

Choice C is 45, so keep it.

Choice D is 258, and

Choice E is 368, so you can eliminate both; if you recognize them as the sum of two odd numbers, you don’t have to calculate either of them. It’s a must be problem, so try another set of numbers in choices A and C to be sure; as long as p and q are both positive odd integers, choices A and C will always work.

Hence

options A and C are correct.

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Sandy

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