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a<0

2022-05-31T02:00:02-07:00

[m]a<0[/m] [quantity]([m]2a^2[/m])([m]a^3[/m])[/quantity] A. Quantity A is greater B. Quantity B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given [textarea][b]Part of the project:[/b] [url=https://gre.myprepclub.com/forum/gre-quantitative-comparison-problem-solving-challenge-28296.html][b][color=#005826]GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)[/color][/b][/url] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [url=https://gre.myprepclub.com/forum/gre-math-essentials-for-a-top-quant-score-q170-24951.html#p81626][b]GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)[/b][/url] [url=https://gre.myprepclub.com/forum/gre-geometry-formulas-for-a-q170-25049.html][b]GRE Geometry Formulas for a Q170[/b][/url] [url=https://gre.myprepclub.com/forum/gre-math-book-for-the-gre-exam-2609.html][b]GRE - Math Book[/b][/url][/textarea]

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Carcass

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a<0 [#permalink]

31 May 2022, 01:00

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\(a<0\)

Quantity A	Quantity B
\(2a^2\)	\(a^3\)

A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book

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A

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GreenlightTestPrep

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Re: a<0 [#permalink]

31 May 2022, 07:19

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Carcass wrote:

\(a<0\)

Quantity A	Quantity B
\(2a^2\)	\(a^3\)

A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

We can quickly solve this question using matching operations (see the video lesson below )

Given:
Quantity A: 2a²
Quantity B: a³

Since we can be certain that a² is positive, we can safely divide both quantities by a² to get:
Quantity A: 2
Quantity B: a

Since we're told a is negative, it's clear that Quantity A is greater.

Answer: A

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