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

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If 1/3 < z < 2/3, then what is the value of z? [#permalink] New post 09 Mar 2012, 09:37
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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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Re: If 1/3 < z < 2/3, then what is the value of z? [#permalink] New post 09 Mar 2012, 09:56
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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.

Answer: D.
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Re: If 1/3 < z < 2/3, then what is the value of z? [#permalink] New post 17 Jun 2013, 04:03
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Re: If 1/3 < z < 2/3, then what is the value of z? [#permalink] New post 11 Jul 2014, 05:59
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Re: If 1/3 < z < 2/3, then what is the value of z?   [#permalink] 11 Jul 2014, 05:59
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