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GRE Math Challenge #60- 3x^2 or 3x^3

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GRE Math Challenge #60- 3x^2 or 3x^3 [#permalink] New post 03 May 2015, 00:49
Expert's post
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Question Stats:

52% (00:10) correct 47% (00:27) wrong based on 19 sessions
\(x< 0\)


Quantity A: \(3x^2\)
Quantity B: \(3x^3\)

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #60- 3x^2 or 3x^3 [#permalink] New post 27 Feb 2018, 08:23
Expert's post
sandy wrote:
\(x< 0\)


Quantity A: \(3x^2\)
Quantity B: \(3x^3\)

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined


We can solve this question using matching operations


Given:
Quantity A: 3x²
Quantity B: 3x³

Divide both quantities by 3 to get:
Quantity A: x²
Quantity B: x³

Since we can be certain that x² is POSITIVE, we can safely divide both quantities by x² to get:
Quantity A: 1
Quantity B: x

Since we're told that x is NEGATIVE, we can see that Quantity A is greater.

Answer: A


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Re: GRE Math Challenge #60- 3x^2 or 3x^3   [#permalink] 27 Feb 2018, 08:23
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