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# If j and k are integers and j — k is even, which of the foll

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If j and k are integers and j — k is even, which of the foll [#permalink]  03 Feb 2017, 02:50
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Question Stats:

58% (00:57) correct 41% (00:47) wrong based on 41 sessions

If $$j$$ and k are integers and $$j — k$$ is even, which of the following must be even?

A) $$k$$

B) $$jk$$

C) $$j + 2k$$

D) $$jk + j$$

E) $$jk — 2j$$
[Reveal] Spoiler: OA

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GRE 1: Q167 V156
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Kudos [?]: 1820 [0], given: 397

Re: If j and k are integers and j — k is even, which of the foll [#permalink]  15 Feb 2017, 20:06
Expert's post
Explanation

Now the thing to remember here is that

even number - even number = even number or odd number - odd number = even number.

Assume a pair of values j = 4 k = 2 and j =3 and k= 1

 Options j = 4 and k = 2 j =3 and k= 1 k 2 1 jk 8 3 j + 2k 8 5 jk + j 10 6 jk — 2j 0 1

Hence only option D fits.
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Sandy
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Re: If j and k are integers and j — k is even, which of the foll   [#permalink] 15 Feb 2017, 20:06
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# If j and k are integers and j — k is even, which of the foll

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