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If p is an even integer and q is an odd integer, which of the followin
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06 Jul 2021, 08:03
06 Jul 2021, 08:03
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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
A. p/q
B. pq
C. 2p+q
D. 2(p+q)
E. 3p/q
If p is an even integer and q is an odd integer, which of the followin
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06 Jul 2021, 08:42
06 Jul 2021, 08:42
Take \(p = 2\) & \(q = 1\) & try out options.
Only \(2p+q\) will be odd.
Answer C
Only \(2p+q\) will be odd.
Answer C
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Re: If p is an even integer and q is an odd integer, which of the followin
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06 Jul 2021, 09:09
06 Jul 2021, 09:09
1
Carcass 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
A. p/q
B. pq
C. 2p+q
D. 2(p+q)
E. 3p/q
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 C
D. 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
