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# Is x^2>x^3

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Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1253
Location: India
WE: Engineering (Other)

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10 Nov 2017, 20:10
00:00

Difficulty:

25% (medium)

Question Stats:

72% (01:05) correct 28% (00:54) wrong based on 49 sessions

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Is $$x^2 > x^3$$ ?

(1) $$x^3$$ > 0

(2) $$x\neq{1}$$

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Joined: 17 Oct 2016
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10 Nov 2017, 20:24
2
E

St1 says x>0. X can be any value. If x is an integer say 2, the answer to the question is No. but if x is a fraction say, 1/2 the answer is yes. Insufficient

St2 gives no info about x an integer or a fraction. Insufficient

Combining-clearly insufficient

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Study Buddy Forum Moderator
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10 Nov 2017, 20:28
Bunuel VeritasPrepKarishma

Is there a better approach than plugging nos for this Q?
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11 Nov 2017, 00:01
2
Bunuel VeritasPrepKarishma

Is there a better approach than plugging nos for this Q?

the question can be simplified as $$x^2>x^3 => x^2-x^3>0$$

or $$x^2(1-x)>0$$, Now $$x^2$$ is always positive, hence the question is asking Is $$1-x>0$$ or $$x<1$$ ?

Statement 1: Implies that $$x$$ is positive but it can be less than $$1$$ eg. $$0.5$$ or more than $$1$$ eg $$2$$. Hence Insufficient

Statement 2: again $$x$$ can be less than $$1$$ eg. $$-1$$ or it can be more than $$1$$ eg. $$2$$. Hence Insufficient

Combining 1 & 2 we know that $$x$$ is positive and not equal to $$1$$. But $$x$$ can be less than $$1$$ eg $$0.5$$ or more than $$1$$ eg $$2$$. Hence insufficient

Option E
Re: Is x^2>x^3 &nbs [#permalink] 11 Nov 2017, 00:01
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