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The question specifies that x is even and that y
is odd. We can choose 2 to represent x and 3 to represent y.
Since we don't need to apply these numbers to the question stem, we can
go straight to Step 3 and test the answer choices.
Evaluating the answer choices, beginning with Choice (E), we find:
Choice (E):  .
Four is an even number. Eliminate.
Choice (D):  .
19 is an odd number. This is the correct answer.
At this point we could choose Choice (D) and move on with confidence.
That's because odd/even rules apply to any numbers you pick, so that you
cannot have more than one answer choice turn out correct. Note: This is
different from when you pick numbers on Variables in the Answer Choices
questions. You may recall from the Basics module that when picking numbers
for those questions you must always test all of the choices. In
that case beginning at Choice (E) wouldn't help you, because you have
to test them all anyway, but it wouldn't hurt you either, and it's important
to develop the habit!
However, let's run through the remaining choices to see how odd/even
rules apply in each:
Choice (C): 
Choice (B): 
Choice (A): 
Choices (A), (B), and (C) all resulted in even numbers and could have
been eliminated.
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