leumas wrote:If p, q, and r are integers, is pq + r even?
(1) p + r is even.
(2) q + r is odd.
OA says Ebut I feel correct answer is C
Please clarify.
This is an EVEN VS. ODD question.
Try to plug in combinations of values that satisfy both statements.
Let r=1, p=1, q=2:
Statement 1: p+r = 1+1 = 2, which is even.
Statement 2: q+r = 2+1 = 3, which is odd.
Is pq + r even?
pq + r = 1*2 + 1 = 3.
NO.
Let r=2, p=2, q=1:
Statement 1: p+r = 2+2 = 4, which is even.
Statement 2: q+r = 1+2 = 3, which is odd.
Is pq + r even?
pq + r = 2*1 + 2 = 4.
YES.
Since each combination above satisfies both statements, and in the first case the answer is NO and in the second case the answer is YES, insufficient.
The correct answer is
E.
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