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Is 0 < y < 1 ?

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Is 0 < y < 1 ? [#permalink] New post 14 Sep 2012, 18:48
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Is 0 < y < 1 ?

(1) 0 < \sqrt{y} < 1

(2) y^2=1/4
[Reveal] Spoiler: OA

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Re: Is 0 < y < 1 ? [#permalink] New post 14 Sep 2012, 19:39
Is 0 < y < 1 ?

(1) 0 < \sqrt{y} < 1

(2) y^2=1/4

Stat1
0 < \sqrt{y} < 1

Square root and square of any number between 0 and 1 is always between 0 and 1
So, 0 < y < 1
So, SUFFICIENT

Stat2
y^2=1/4
y = +- 1/2
So, NOT SUFFICIENT

So, Answer will be A. Hope it helps!
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Re: Is 0 < y < 1 ? [#permalink] New post 15 Sep 2012, 02:16
Is 0 < y < 1 ?

(1) 0 < \sqrt{y} < 1. Since all three parts of the inequality are non-negative, then we can simply square it: 0<y<1. sufficient.

(2) y^2=1/4 --> y=-\frac{1}{2} or y=\frac{1}{2}. Not sufficient.

Answer: A.
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Re: Is 0 < y < 1 ?   [#permalink] 15 Sep 2012, 02:16
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