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# x^2 y > 0

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Founder
Joined: 18 Apr 2015
Posts: 7395
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Kudos [?]: 1449 [0], given: 6602

x^2 y > 0 [#permalink]  12 Dec 2015, 07:26
Expert's post
00:00

Question Stats:

89% (00:27) correct 10% (00:23) wrong based on 19 sessions
$$x^2y$$ > 0

$$xy^2$$ < 0

 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.

Practice Questions
Question: 4
Page: 151
Difficulty: medium
[Reveal] Spoiler: OA

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Last edited by Carcass on 09 Jun 2019, 13:21, edited 5 times in total.
Edited the question
Founder
Joined: 18 Apr 2015
Posts: 7395
Followers: 124

Kudos [?]: 1449 [0], given: 6602

Re: x^2 y > 0 [#permalink]  12 Dec 2015, 07:47
Expert's post
Solution

Whereas one possible strategy to attack the question should be pick numbers and test what's going on.

Instead, notice that no matter what in our quantities $$x^2$$ and $$y^2$$ are always positive, regardless the sign.

But in the first one to be > 0 y must be positive. In the second X must be negative to have > 0

So $$y > x$$

The answer is $$B$$
_________________
Intern
Joined: 14 Jul 2016
Posts: 3
Followers: 0

Kudos [?]: 2 [1] , given: 4

Re: x^2 y > 0 [#permalink]  14 Jul 2016, 08:09
1
KUDOS
I don't understand this solution. Why X must be negative? And what is the [?] symbol?
Carcass wrote:
Solution

Whereas one possible strategy to attack the question should be pick numbers and test what's going on.

Instead, notice that no matter what in our quantities $$x^2$$ and $$y^2$$ are always positive, regardless the sign.

But in the first one to be > 0 y must be positive. In the second X must be negative to have > 0

So $$y > x$$

The answer is $$B$$
Founder
Joined: 18 Apr 2015
Posts: 7395
Followers: 124

Kudos [?]: 1449 [1] , given: 6602

Re: x^2 y > 0 [#permalink]  15 Jul 2016, 02:05
1
KUDOS
Expert's post
Sorry for the inconvenience. Apologize

In the inequality $$XY^2$$ is NOT > 0 but < 0. For this reason there was the symbol [?] because a mismatch .

Thank you
_________________
Intern
Joined: 14 Jul 2016
Posts: 3
Followers: 0

Kudos [?]: 2 [1] , given: 4

Re: x^2 y > 0 [#permalink]  16 Jul 2016, 01:30
1
KUDOS
Thanks. I thought I missed something

Carcass wrote:
Sorry for the inconvenience. Apologize

In the inequality $$XY^2$$ is NOT > 0 but < 0. For this reason there was the symbol [?] because a mismatch .

Thank you
Founder
Joined: 18 Apr 2015
Posts: 7395
Followers: 124

Kudos [?]: 1449 [0], given: 6602

Re: x^2 y > 0 [#permalink]  16 Jul 2016, 01:40
Expert's post
Thank you to pointed out. The bb code or else was the problem..........
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GRE Instructor
Joined: 10 Apr 2015
Posts: 2170
Followers: 64

Kudos [?]: 1982 [1] , given: 20

Re: x^2 y > 0 [#permalink]  21 Jul 2016, 09:45
1
KUDOS
Expert's post
Carcass wrote:
x²y > 0

xy² < 0

 Quantity A Quantity B x y

Given: x²y > 0
Since x² must be POSITIVE, we can divide both sides of this inequality by x² to get: y > 0
In other words y is POSITIVE

Given: xy² < 0
Since y² must be POSITIVE, we can divide both sides of this inequality by y² to get: x < 0
In other words x is NEGATIVE

[Reveal] Spoiler:
B

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Re: x^2 y > 0   [#permalink] 21 Jul 2016, 09:45
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