Hi Needgmat,
This question is more about the mathematical concepts involved than about actually doing calculations. I'm going to give you some hints so that you can reattempt this question on your own.
Given the range 0 < X < 2, we know that X can get really, really close to 2, but not 2 exactly...
[spoiler] Consider X^2 vs. 2X. If you maximize the value of X, which of those outcomes would be BIGGER? As a simple example, consider X = 1.9.....
(1.9)^2 = (1.9)(1.9)
2(1.9) = (2)(1.9)
Without multiplying those out, can you determine which one is bigger? How do you know? Now use THAT understanding to assess the remaining answer choices.[/spoiler]
GMAT assassins aren't born, they're made,
Rich
0<x<2
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This question is more about the mathematical concepts involved than about actually doing calculations. I'm going to give you some hints so that you can reattempt this question on your own.
Given the range 0 < X < 2, we know that X can get really, really close to 2, but not 2 exactly...
[spoiler] Consider X^2 vs. 2X. If you maximize the value of X, which of those outcomes would be BIGGER? As a simple example, consider X = 1.9.....
(1.9)^2 = (1.9)(1.9)
2(1.9) = (2)(1.9)
Without multiplying those out, can you determine which one is bigger? How do you know? Now use THAT understanding to assess the remaining answer choices.
Hi Rich ,
Thanks for your reply.
Can you please advise why E is wrong and D is right?
Many thanks in advance.
Kavin
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- GMAT Score:790
Test x=1 in the answer choices:Needgmat wrote:If 0<x<2, which of the following must be greatest?
A) x
B) x^2
C) 2x
D) x+2
E) 2^x
A) x = 1
B) x² = 1² = 1
C) 2x = 2*1 = 2
D) x+2 = 1+2 = 3
E) 2^x = 2¹ = 2
Since A, B, C and E do NOT have to be the greatest, eliminate A, B, C and E.
The correct answer is D.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
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