In the future, please post the full text of the question even if your question is only about part of it. For completeness, here it is :-)
If p, q, and r are integers, is pq + r even?
(1) p + r is even.
(2) q + r is odd.
starburst83 wrote:
To start, statement (2) states: "q + r is odd". The solution for statement (2) states that "The variables q and r must either both be odd or both be even..."
If "q + r is odd", then must not one be odd and the other even?
After all, O + E = O (and E + O = O).
However, if "q and r must either both be odd or both be even", then either case would result in an even: O + O = E and E + E = E
So how can we evaluate statement (2) if we state that they "must either both be odd or both be even"?
That is definitely an error. The chart for (2) is correct, as it lists every scenario such that EITHER q or r is even, but not both of them. Thanks for bringing this to our attention. We'll be sure to fix the text to match the chart before the next printing.
starburst83 wrote:
Secondly, shouldn't there be a comma after the first "q" in the question stem? Given that it is the second-to-last item in the list (right before "and"), which is greater than three items long, and that the GMAT prefers serial commas, and that this is a GMAT book? :)
Indeed :-) We'll get that comma in there, too.