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GRE Math Challenge #60- 3x^2 or 3x^3
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03 May 2015, 00:49
03 May 2015, 00:49
Expert Reply
00:00
Question Stats:
73% (00:15) correct
26% (00:17) wrong based on 61 sessions
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\(x< 0\)
Quantity A: \(3x^2\)
Quantity B: \(3x^3\)
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
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Re: GRE Math Challenge #60- 3x^2 or 3x^3
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27 Feb 2018, 08:23
27 Feb 2018, 08:23
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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