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

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Manager
Joined: 16 Apr 2006
Posts: 240
If i and j are integers, is i + j an even integer? [#permalink]

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23 Sep 2010, 04:38
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Difficulty:

5% (low)

Question Stats:

83% (00:26) correct 17% (00:28) wrong based on 84 sessions

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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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Math Expert
Joined: 02 Sep 2009
Posts: 44373
Re: If i and j are integers, is i + j an even integer? [#permalink]

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23 Sep 2010, 04:40
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Expert's post
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 $$i+j=j+j=2j=2.2\neq{integer}$$.

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Joined: 19 Sep 2010
Posts: 171
Re: If i and j are integers, is i + j an even integer? [#permalink]

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16 Oct 2010, 08:33
+1 for B...easy one..
Math Expert
Joined: 02 Sep 2009
Posts: 44373
Re: If i and j are integers, is i + j an even integer? [#permalink]

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