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If i and j are integers, is i + j an even integer?

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If i and j are integers, is i + j an even integer? [#permalink]

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If i and j are integers, is i + j an even integer?

(1) i < 10
(2) i = j

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-i-and-j-a ... 36883.html
[Reveal] Spoiler: OA

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Kudos [?]: 237 [0], given: 2

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Re: If i and j are integers, is i + j an even integer? [#permalink]

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New post 23 Sep 2010, 04:40
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dkverma wrote:
If i and j are integers, is i + j an even integer?
(1) i < 10
(2) i = j


If i and j are integers, is i + j an even integer?
(1) i < 10 --> no info about j. Not sufficient.
(2) i = j --> \(i+j=j+j=2j\), as \(j\) is an integer then \(2j\) is an even number. Sufficient.

Note that if we were not told that \(i\) and \(j\) are integers then this statement would not be sufficient as in this case \(j\) could be for example 1.5, so \(i+j=j+j=2j=3=odd\) or \(j\) could be for example 1.1, so \(i+j=j+j=2j=2.2\neq{integer}\).

Answer: B.
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Kudos [?]: 124567 [1], given: 12079

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New post 16 Oct 2010, 08:33
+1 for B...easy one..

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Re: If i and j are integers, is i + j an even integer? [#permalink]

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New post 21 Aug 2017, 05:21

Kudos [?]: 124567 [0], given: 12079

Re: If i and j are integers, is i + j an even integer?   [#permalink] 21 Aug 2017, 05:21
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