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Is x^2 greater than x? (1) x^2 is greater than x^3 (2) x^2

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Senior Manager
Joined: 25 Nov 2006
Posts: 336
Schools: St Gallen, Cambridge, HEC Montreal
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Kudos [?]: 62 [0], given: 0

Is x^2 greater than x? (1) x^2 is greater than x^3 (2) x^2 [#permalink]

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03 Jun 2008, 07:21
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is x^2 greater than x?

(1) x^2 is greater than x^3
(2) x^2 is greater than x^4
Current Student
Joined: 28 Dec 2004
Posts: 3384
Location: New York City
Schools: Wharton'11 HBS'12
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Re: JS - Exponents and Roots - 67 [#permalink]

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03 Jun 2008, 07:26
lumone wrote:
Is x^2 greater than x?

(1) x^2 is greater than x^3
(2) x^2 is greater than x^4

1)take x=-1..

x^2>x^3 x<x^2..

take x=1/2

x^2>x^3, x^2<x..insuff

2) x^2>x^4

x=-1/2
x^2>x^4, but x<x^2
x=1/2
x^2>x^4, but x>x^2

Insuff..

1+2..Insuff..

E
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Re: JS - Exponents and Roots - 67 [#permalink]

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03 Jun 2008, 07:57
i am also getting E

the original stem will be true if x>1 or if x<0

From statement 1, you get that x<1 ... so it may fall into the range above, or it might not. Insuff.

From statement 2, you get that -1<x<1 ... again, it may fall into that range, or it may not.

Taken together, you still only know that -1<x<1. Insufficient.
Re: JS - Exponents and Roots - 67   [#permalink] 03 Jun 2008, 07:57
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Is x^2 greater than x? (1) x^2 is greater than x^3 (2) x^2

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