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x^2y > 0
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27 Dec 2016, 03:10
27 Dec 2016, 03:10
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87% (00:25) correct
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x²y > 0 ; xy² < 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 |
x |
y |
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.
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Re: x^2y > 0
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27 Dec 2016, 10:25
27 Dec 2016, 10:25
1
Carcass wrote:
x²y > 0 ; xy² < 0
Quantity A |
Quantity B |
x |
y |
IMPORTANT: From the given inequalities, we can conclude that x ≠ 0 and y ≠ 0
This mean that x² is POSITIVE and y² is POSITIVE
If x² is POSITIVE, we safely take x²y > 0 and divide both sides by x² to get: y > 0
In other words, y is some positive number
Likewise, since y² is POSITIVE, we safely take xy² < 0 and divide both sides by y² to get: x < 0
In other words, x is some negative number
So, we get:
Quantity A: some negative number
Quantity B: some positive number
Answer: B
gmatclubot
Re: x^2y > 0 [#permalink]
27 Dec 2016, 10:25
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