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# If 1/3 < z < 2/3, then what is the value of z?

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Joined: 22 Jan 2012
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Location: India
Concentration: General Management, Technology
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If 1/3 < z < 2/3, then what is the value of z?  [#permalink]

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09 Mar 2012, 10:37
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22
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Difficulty:

95% (hard)

Question Stats:

47% (02:03) correct 53% (02:02) wrong based on 371 sessions

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If 1/3 < z < 2/3, then what is the value of z?

(1) When positive integer x is divided by 2, the result is z.
(2) When positive even integer y is divided by 12, the result is z.
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Joined: 02 Sep 2009
Posts: 59722
Re: If 1/3 < z < 2/3, then what is the value of z?  [#permalink]

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09 Mar 2012, 10:56
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If 1/3 < z <2/3 , then what is the value of z?

(1) When positive integer x is divided by 2, the result is z --> $$z=\frac{x}{2}$$ --> $$\frac{1}{3}<\frac{x}{2}<\frac{2}{3}$$ --> $$\frac{2}{3}<x<\frac{4}{3}$$ --> since $$x$$ is an integer then $$x=1$$ (the only integer in that range) --> $$z=\frac{x}{2}=\frac{1}{2}$$. Sufficient.

(2) When positive even integer y is divided by 12, the result is z --> $$z=\frac{y}{12}$$ --> $$\frac{1}{3}<\frac{y}{12}<\frac{2}{3}$$ --> $$4<y<8$$ --> since $$y$$ is an even integer then $$y=6$$ (the only even integer in that range) --> $$z=\frac{y}{12}=\frac{1}{2}$$. Sufficient.

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Re: If 1/3 < z < 2/3, then what is the value of z?  [#permalink]

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17 Jun 2013, 05:03
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

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Re: If 1/3 < z < 2/3, then what is the value of z?  [#permalink]

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26 May 2019, 03:29
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: If 1/3 < z < 2/3, then what is the value of z?   [#permalink] 26 May 2019, 03:29
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