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Is x an odd integer? (1) x + 3 is an even integer (2) x/3 is an odd

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shivanigs
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Is x an odd integer? (1) x + 3 is an even integer (2) x/3 is an odd [#permalink] New post   Updated on: 11 Apr 2022, 00:20
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81% (00:49) correct 19% (00:49) wrong based on 104 sessions
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Is x an odd integer?

(1) x + 3 is an even integer.
(2) x/3 is an odd integer.
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Official Answer
D

Originally posted by shivanigs on 02 Nov 2012, 04:15.
Last edited by Bunuel on 11 Apr 2022, 00:20, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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Re: Is x an odd integer? (1) x + 3 is an even integer (2) x/3 is an odd [#permalink] New post   02 Nov 2012, 04:21
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Is x an odd integer?

(1) x + 3 is an even integer --> \(x+3=even\) --> \(x=even-3=even-odd=odd\). Sufficient.
(2) x/3 is an odd integer --> \(\frac{x}{3}=odd\) --> \(x=3*odd=odd*odd=odd\). Sufficient.

Answer: D.

Hope it's clear.
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Bunuel
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Re: Is x an odd integer? (1) x + 3 is an even integer (2) x/3 is an odd [#permalink] New post   02 Nov 2012, 04:24
Expert Reply
shivanigs wrote:
Hi,

Request help with the following question.Thanks..


Is x an odd integer?

(1) x + 3 is an even integer.
(2) x/3 is an odd integer.

P.S. - Do not have the official answer for this one.


Similar question to practice:
m04-q23-70240.html

Hope it helps.
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Re: Is x an odd integer? (1) x + 3 is an even integer (2) x/3 is an odd [#permalink] New post   19 Apr 2020, 08:22
Is x an odd integer?

(1) x + 3 is an even integer.
let, x+3 = 6 , x=3 (odd)
so, x must be odd integer . sufficient
(2) x/3 is an odd integer.
let, x/3=1 , x=3 = odd
so, x must be odd integer . sufficient

correct answer D
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Re: Is x an odd integer? (1) x + 3 is an even integer (2) x/3 is an odd [#permalink] New post   10 Apr 2022, 01:44
Brilliant method and thanks brunel. I get confused with number plugging in this even odd scenario but your method is so simple and strightforward, no more confusion ever or fear of missing out any particular number testing.
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Re: Is x an odd integer? (1) x + 3 is an even integer (2) x/3 is an odd [#permalink] New post   11 Apr 2022, 00:19
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is x an odd integer? (1) x + 3 is an even integer (2) x/3 is an odd [#permalink]
11 Apr 2022, 00:19
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