If 1/3 < z < 2/3, then what is the value of z? : GMAT Data Sufficiency (DS)
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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?

(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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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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DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

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

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

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New post 07 Sep 2016, 12:32
Hello from the GMAT Club BumpBot!

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Re: If 1/3 < z < 2/3, then what is the value of z?   [#permalink] 07 Sep 2016, 12:32
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