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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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Kudos [?]: 139 [4], given: 9

Location: India
Concentration: General Management, Technology
GPA: 3.3
WE: Engineering (Consulting)
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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43% (01:25) correct 57% (01:31) wrong based on 396 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.
[Reveal] Spoiler: OA

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Kudos [?]: 139 [4], given: 9

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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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Kudos [?]: 128485 [5], given: 12179

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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!

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

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11 Jul 2014, 06:59
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]

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18 Aug 2015, 10:26
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]

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07 Sep 2016, 13:32
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: If 1/3 < z < 2/3, then what is the value of z?   [#permalink] 07 Sep 2016, 13:32
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# If 1/3 < z < 2/3, then what is the value of z?

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