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D
Carcass
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x<0<y [#permalink] New post   25 Dec 2018, 16:54
1
Expert Reply
00:00
A
B
C
D

Question Stats:

67% (00:57) correct 32% (01:03) wrong based on 199 sessions

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x<0<y

Quantity A
Quantity B
−2(x+y)
−xy


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.
ShowHide Answer
Official Answer
D
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chetan2u
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Re: x<0<y [#permalink] New post   26 Dec 2018, 22:40
2
Expert Reply
Carcass wrote:
x<0<y

Quantity A
Quantity B
−2(x+y)
−xy


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.


With the timer showing that almost all 11 have got this wrong, let me give an explanation why it should be D..

x<0<y..
This tells us that x is negative and y is positive, but we cannot say anything about |x| and |y|

A = -2(x+y) and B is -xy
Let us take two examples ..
(1) if |x|>|y|
Say x is -10 and y is 1...
Then -2(x+y)=-2(-10+1)=-2*-9=18=A
And B = -xy=-(-10*1)=10
So A>B
(2) if |x|=|y|
Say x is -2 and y is 2
Then A=-2(-2+2)=0 and B=-(-2*2)=4.
So A<B

Therefore different answers..
D
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Tejas2805
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Re: x<0<y [#permalink] New post   18 Sep 2020, 03:15
3
Multiply both sides by by -1, we get

Quantity A: 2(x+y)
Quantity B: xy

Quantity B is always less than 0 since x <0 and y >0, where as Quantity A can be greater than or less than zero dependent upon values of x and y.

Therefore, answer is D
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Ezio23
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Re: x<0<y [#permalink] New post   29 Oct 2020, 01:53
1
x< 0
y> 0
=> -xy is always >0, but x+y could be >0 or <0
Boom!
pick D
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Re: x<0<y [#permalink] New post   21 Jan 2023, 22:10
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: x<0<y [#permalink]
21 Jan 2023, 22:10
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