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bc<0, ab>0, and cd<0
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30 Jul 2020, 11:13
30 Jul 2020, 11:13
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Question Stats:
66% (01:23) correct
33% (01:24) wrong based on 224 sessions
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\(bc<0\), \(ab>0\), and \(cd<0\)
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 |
\(ac\) |
\( bd \) |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: bc<0, ab>0, and cd<0
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30 Jul 2020, 12:50
30 Jul 2020, 12:50
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Carcass wrote:
\(bc<0\), \(ab>0\), and \(cd<0\)
Quantity A |
Quantity B |
\(ac\) |
\( bd \) |
GIVEN:
bc is NEGATIVE
ab is POSITIVE
cd is NEGATIVE
So: (bc)(ab) = (NEGATIVE)(POSITIVE)
Simplify: ab²c = NEGATIVE
Rewrite as: (ac)(b²)
Since we know that b² is POSITIVE, we can write: (ac)(POSITIVE) = NEGATIVE, which means ac is NEGATIVE
Also: (bc)(cd) = (NEGATIVE)(NEGATIVE)
Simplify: bc²d = POSITIVE
Rewrite as: (bd)(c²)
Since we know that c² is POSITIVE, we can write: (bd)(POSITIVE) = POSITIVE, which means bd is POSITIVE
We get:
QUANTITY A: NEGATIVE
QUANTITY B: POSITIVE
Answer: B
Cheers,
Brent
General Discussion
Re: bc<0, ab>0, and cd<0
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30 Jul 2020, 11:14
30 Jul 2020, 11:14
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
