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a < 0
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25 Mar 2021, 01:33
25 Mar 2021, 01:33
Expert Reply
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Question Stats:
73% (00:14) correct
26% (00:15) wrong based on 19 sessions
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\(a < 0\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Quantity A |
Quantity B |
\(a^2\) |
\(a^3\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: a < 0
[#permalink]
25 Mar 2021, 01:37
25 Mar 2021, 01:37
1
Carcass wrote:
\(a < 0\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(a^2\) |
\(a^3\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
We know \(a < 0\), so \(a^2 > 0\)
Let us divide both sides by \(a^2\);
Col. A: \(1\)
Col. B: \(a\)
Col. A: \(+ve\)
Col. B: \(-ve\)
Hence, option A
Re: a < 0
[#permalink]
25 Mar 2021, 17:36
25 Mar 2021, 17:36
Exponent rule: negative number raised by an odd exponent, this number will be negative. (-3)^3= -27
however, if it raised by even exponent, it becomes a positive. (-3)^2= 9.
Here we are told that x<0 which means x is negative.
answer (a)
however, if it raised by even exponent, it becomes a positive. (-3)^2= 9.
Here we are told that x<0 which means x is negative.
answer (a)
