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

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Joined: 29 Oct 2013
Posts: 173
Concentration: Finance
GMAT 1: 750 Q48 V46
GMAT 2: Q V0
GRE 1: 327 Q161 V166
GPA: 3.7
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If 0 < x < 2, which of the following must be greatest? [#permalink] New post 08 Jun 2014, 22:48
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:44) correct 24% (00:30) wrong based on 42 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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Re: If 0 < x < 2, which of the following must be greatest? [#permalink] New post 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
Manager
avatar
Joined: 29 Oct 2013
Posts: 173
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: 3

Kudos [?]: 117 [0], given: 115

GMAT ToolKit User
Re: If 0 < x < 2, which of the following must be greatest? [#permalink] New post 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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Re: If 0 < x < 2, which of the following must be greatest? [#permalink] New post 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

Answer = D
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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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If 0 < x < 2, which of the following must be greatest?

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