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Is x > 0

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Is x > 0 [#permalink] New post 24 Jan 2011, 05:42
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65% (01:16) correct 35% (01:30) wrong based on 17 sessions
Is x > 0

(1) x < x^2
(2) x^2 < x^3
[Reveal] Spoiler: OA

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Re: One more Algebra DS [#permalink] New post 24 Jan 2011, 05:59
(1) If x = 2, then x^2 = 4; here x > 0
If x = -2, then x^2 = (-2)^2 = 4; here x < 0
x may or may not be greater than 0. Hence, there is no unique answer.
So, statement 1 is NOT SUFFICIENT.

(2) x^2 < x^3 implies that x > 1, which implies x is always positive. So, x > 0.
So, statement 2 is SUFFICIENT.

[Reveal] Spoiler:
The correct answer is B.

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Re: One more Algebra DS [#permalink] New post 24 Jan 2011, 06:37
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Re: One more Algebra DS [#permalink] New post 17 Mar 2011, 21:56
Very easy. Question asks if x is positive ...fraction OR integer doesn't matter..
Statement 1 says that x is either a negative fraction OR a positive integer.
Statement 2 says that x is definitely a positive integer.
Hence B
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Re: One more Algebra DS [#permalink] New post 17 Mar 2011, 23:09
(1)

x-x^2 < 0

x(1-x) < 0

=> x > 1 or x < 0, so not sufficient

(2)
x^2 < x^3

=> x is +ve as if x is -ve then, then x^3 will be -ve while x^2 will be still +ve and +ve can't be < -ve

Answer B.

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Re: One more Algebra DS   [#permalink] 17 Mar 2011, 23:09
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