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If p and q are integers and p + q + p is odd, which of the following must be odd?
(A) p
(B) q
(C) p + q
(D) pq
(E) pq + p
(A) p
(B) q
(C) p + q
(D) pq
(E) pq + p
DashingNightmare2
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Concentration: Marketing, Technology
Schools: ISB '23 (A)
GMAT 1: 750 Q50 V41
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29 Nov 2021, 11:27
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Bunuel
If p and q are integers and p + q + p is odd, which of the following must be odd?
(A) p
(B) q
(C) p + q
(D) pq
(E) pq + p
(A) p
(B) q
(C) p + q
(D) pq
(E) pq + p
p + q + p is odd => 2*p+q is odd
Since, 2*p will always be even, q must be odd. Now going to the options
(A) p , can be even or odd
(B) q , definitely odd
(C) p + q, if p is odd p+q will be even, if p is even p+q will be odd
(D) pq , depends on p
(E) pq + p, = p(1+q) = p*even , depends on p
Hence B
29 Nov 2021, 14:47
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Bunuel
If p and q are integers and p + q + p is odd, which of the following must be odd?
(A) p
(B) q
(C) p + q
(D) pq
(E) pq + p
(A) p
(B) q
(C) p + q
(D) pq
(E) pq + p
Breaking Down the Info:
\(p + q + p = 2p + q\) is odd. We know \(2p\) must be even, therefore \(q\) is odd in order to give us the odd sum.
Answer: A
