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If k is an odd integer, which of the following must be an ev

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If k is an odd integer, which of the following must be an ev [#permalink] New post 26 Nov 2017, 09:14
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66% (00:50) correct 33% (00:03) wrong based on 3 sessions
If k is an odd integer, which of the following must be an even integer?

A. k² – 4
B. 3k + 2
C. 2k + 1
D. 12k/8
E. 6k/3


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Re: If k is an odd integer, which of the following must be an ev [#permalink] New post 30 Nov 2017, 15:59
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Expert's post
Bunuel wrote:
If k is an odd integer, which of the following must be an even integer?

A. k² – 4
B. 3k + 2
C. 2k + 1
D. 12k/8
E. 6k/3


Kudos for correct solution.


The key word in must, which means the correct answer will yield an EVEN value for ALL odd values of k.
So, if we find an odd value for k that does NOT yield an even output, then we can eliminate that answer choice.

Let's see what happens when k = 1 (1 is a nice odd integer to work with)
Plug k = 1 to get...
A. 1² – 4 = -3. -3 is NOT even. ELIMINATE A
B. 3(1) + 2 = 5. 5 is NOT even. ELIMINATE B
C. 2(1) + 1 = 3. 3 is NOT even. ELIMINATE C
D. 12(1)/8 = 3/2. 3/2 is NOT even. ELIMINATE D

By the process of elimination, the correct answer must be E

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: If k is an odd integer, which of the following must be an ev   [#permalink] 30 Nov 2017, 15:59
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If k is an odd integer, which of the following must be an ev

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