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# 28. (SC) Which of the following must be greater than x? I.

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Manager
Joined: 10 Feb 2011
Posts: 112

Kudos [?]: 370 [0], given: 10

28. (SC) Which of the following must be greater than x? I. [#permalink]

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17 Mar 2011, 14:44
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28. (SC) Which of the following must be greater than x?
I. 2x
II. x^2
III. x^2 + 1
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only

Kudos [?]: 370 [0], given: 10

Manager
Joined: 24 Nov 2010
Posts: 203

Kudos [?]: 94 [0], given: 7

Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Re: 28. (SC) Which of the following must be greater than x? I. [#permalink]

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17 Mar 2011, 15:00
banksy wrote:
28. (SC) Which of the following must be greater than x?
I. 2x
II. x^2
III. x^2 + 1
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only

I. 2x will not be greater than x if x = -ve
II. x^2 will not be greater than x if x= fraction <1
III. x^2 + 1 Will always be greater than x whether x is +ve, -ve or fraction.

ans C.

Kudos [?]: 94 [0], given: 7

Manager
Status: Mesmerized
Joined: 24 Jan 2010
Posts: 172

Kudos [?]: 128 [0], given: 12

Location: UAE, Dubai
Re: 28. (SC) Which of the following must be greater than x? I. [#permalink]

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17 Mar 2011, 15:01
C

Posted from my mobile device
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Nanquam Fractum

Kudos [?]: 128 [0], given: 12

Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 609

Kudos [?]: 1154 [0], given: 39

Re: 28. (SC) Which of the following must be greater than x? I. [#permalink]

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19 Mar 2011, 02:29
C is the ans. dreambeliever gives the right explanation.
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Kudos [?]: 1154 [0], given: 39

Senior Manager
Joined: 09 Feb 2011
Posts: 272

Kudos [?]: 218 [0], given: 13

Concentration: General Management, Social Entrepreneurship
Schools: HBS '14 (A)
GMAT 1: 770 Q50 V47
Re: 28. (SC) Which of the following must be greater than x? I. [#permalink]

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20 Mar 2011, 23:44
C is the only case where this remains true for x as 0, +ve, -ve or fraction

Kudos [?]: 218 [0], given: 13

Manager
Joined: 05 Jan 2011
Posts: 169

Kudos [?]: 196 [0], given: 8

Re: 28. (SC) Which of the following must be greater than x? I. [#permalink]

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21 Mar 2011, 09:02
x^2 +1 will always be greater than x ..So ans is C

Kudos [?]: 196 [0], given: 8

Re: 28. (SC) Which of the following must be greater than x? I.   [#permalink] 21 Mar 2011, 09:02
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