Bunuel wrote:
If p is an even integer and q is an odd integer, which of the following must be an odd integer?
A. p/q
B. pq
C. 2p+q
D. 2(p+q)
E. 3p/q
Another approach is to take each answer choice and plug in an even number for p and an odd number for q, and see which answer choices yield an ODD value.
The easiest numbers to test are p =
0 (which is EVEN) and q =
1 (which is ODD)
We get:
A. p/q =
0/
1 = 0, which is EVEN. ELIMINATE A
B. pq = (
0)(
1) = 0, which is EVEN. ELIMINATE B
C. 2p+q = 2(
0) +
1 = 1, which is ODD.
KEEP CD. 2(p+q) = 2(
0 +
1) = 2, which is EVEN. ELIMINATE D
E. 3p/q = (3)(
0)/
1 = 0, which is EVEN. ELIMINATE E
Answer: C
Cheers,
Brent
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