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abc > 0
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31 May 2022, 02:00
31 May 2022, 02:00
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Question Stats:
85% (00:34) correct
14% (00:41) wrong based on 41 sessions
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\(abc > 0\)
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
Quantity A |
Quantity B |
b+c |
zero |
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)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: abc > 0
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31 May 2022, 06:47
31 May 2022, 06:47
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Carcass wrote:
\(abc > 0\)
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
Quantity A |
Quantity B |
b+c |
zero |
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
If abc > 0, then EITHER all three variables are positive, OR exactly two of the variables are negative.
Given this, there's no way to tell the signs of b and c.
So, it certainly seems like the answer will be D.
So let's test some values.
Case i: If abc > 0, it could be the case that a = 1, b = 1 and c = 1
So we get:
QUANTITY A: 1 + 1
QUANTITY B: 0
In this case, Quantity A is greater
Case ii: If abc > 0, it could be the case that a = 1, b = -1 and c = -1
So we get:
QUANTITY A: (-1) + (-1)
QUANTITY B: 0
In this case, Quantity B is greater
Answer: D
Re: abc > 0
[#permalink]
03 Jun 2022, 00:29
03 Jun 2022, 00:29
1
The comparison cannot be determined as any of the three terms A, B, or C can effect the outcome, therefore b+c can either be positive or negative.
Explore the possibilites for A, B and C and you would see that we can either have all terms positive or 1 term positive and the other two negative.
The answer is (D)
Explore the possibilites for A, B and C and you would see that we can either have all terms positive or 1 term positive and the other two negative.
The answer is (D)
