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# x is a positive integer. Is x even?

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Senior Manager
Joined: 05 Feb 2004
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x is a positive integer. Is x even? [#permalink]

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08 Oct 2004, 07:16
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x is a positive integer. Is x even?

(1) 9x^2 is divisible by 4
(2) 3x + 2 is divisible by 8
[Reveal] Spoiler: OA

Last edited by Bunuel on 12 Nov 2013, 01:41, edited 1 time in total.
Renamed the topic, edited the question and added the OA.

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Location: Russian Federation
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08 Oct 2004, 07:28
A?

1. (3x)^2 = 4 or 8 or 12 or 16 or 20 or 24 or 36 or 72..whatever. We can conclude that x will be a odd number or a fraction. Surely not even. Thus, Suff.

2. 3x +2 = 8 or 16 or 24 or 32 whatever. We can confirm that x can be even or fraction. Thus, Insuff.

So, A.

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Manager
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08 Oct 2004, 08:30
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D

in (1) if x is odd this makes 9x^2 odd but 9x^2 is even(divisible by 4)
implies x is even

in (2) if x is odd 3x+2 is odd but 3x+2 should be even (3x+2 div by 8)
imlies x is even

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Manager
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08 Oct 2004, 09:42
Anonymous wrote:
A?

1. (3x)^2 = 4 or 8 or 12 or 16 or 20 or 24 or 36 or 72..whatever. We can conclude that x will be a odd number or a fraction. Surely not even. Thus, Suff.

2. 3x +2 = 8 or 16 or 24 or 32 whatever. We can confirm that x can be even or fraction. Thus, Insuff.

So, A.

I think x shd be even in Statement 1.
Statement 2 seems sufficent to answer the question. Becasue that condition is true, then x shd be even as no odd number substitute into 3x+2 will be divisible by 8

So it shd be D

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Re: x is a positive integer. Is x even? [#permalink]

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25 Nov 2014, 06:38
Hello from the GMAT Club BumpBot!

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Re: x is a positive integer. Is x even? [#permalink]

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14 Sep 2016, 05:57
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: x is a positive integer. Is x even?   [#permalink] 14 Sep 2016, 05:57
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