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# If 0 < x < 2, which of the following must be greatest?

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Manager
Joined: 29 Oct 2013
Posts: 183
Concentration: Finance
GMAT 1: 750 Q48 V46
GMAT 2: Q V0
GRE 1: 327 Q161 V166
GPA: 3.7
WE: Corporate Finance (Retail Banking)
Followers: 8

Kudos [?]: 229 [0], given: 133

If 0 < x < 2, which of the following must be greatest? [#permalink]  08 Jun 2014, 22:48
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Difficulty:

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Question Stats:

84% (01:37) correct 16% (00:37) wrong based on 74 sessions
If 0 < x < 2, which of the following must be greatest?

(A) x
(B) x^2
(C) 2x
(D) x + 2
(E) 2^x
[Reveal] Spoiler: OA

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Moderator
Joined: 10 May 2010
Posts: 823
Followers: 24

Kudos [?]: 362 [0], given: 192

Re: If 0 < x < 2, which of the following must be greatest? [#permalink]  08 Jun 2014, 22:52
A graphical solution is the best in this case.

At $$x = 0$$ , try to compare values of all functions, only two functions have non zero values $$x+2 = 2, 2^x = 1$$.
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Manager
Joined: 29 Oct 2013
Posts: 183
Concentration: Finance
GMAT 1: 750 Q48 V46
GMAT 2: Q V0
GRE 1: 327 Q161 V166
GPA: 3.7
WE: Corporate Finance (Retail Banking)
Followers: 8

Kudos [?]: 229 [0], given: 133

Re: If 0 < x < 2, which of the following must be greatest? [#permalink]  08 Jun 2014, 22:57
I think the best way to solve this problem is to just pick absolutely any number between 0 and 2 and compare 5 choices. If it does not work for absolutely any darn value this problem would not exist.
I posted this problem here so that more people know this insight otherwise OG solution is quite bang on! (and surprisingly so!)
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SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 27

Kudos [?]: 1224 [0], given: 193

Re: If 0 < x < 2, which of the following must be greatest? [#permalink]  24 Jun 2014, 02:06
For x = 1, try the options given

(A) x = 1
(B) $$x^2 = 1^2 = 1$$
(C) 2x = 2
(D) x + 2 = 1 + 2 = 3
(E) $$2^x = 2^1 = 2$$

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Re: If 0 < x < 2, which of the following must be greatest?   [#permalink] 24 Jun 2014, 02:06
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