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If |x| = |y| and xy < 0, which of the following must be true

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Joined: 29 Mar 2010
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Concentration: Finance, International Business
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If |x| = |y| and xy < 0, which of the following must be true [#permalink] New post 21 Dec 2013, 12:10
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Question Stats:

92% (01:46) correct 8% (01:00) wrong based on 119 sessions
If |x| = |y| and xy < 0, which of the following must be true?

A. xy^2 > 0

B. yx^2 > 0

C. x + y = 0

D. x/y +1=2

E. 1/x + 1/y = 1/2]
[Reveal] Spoiler: OA

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4/28 GMATPrep 42Q 36V 640


Last edited by Bunuel on 22 Dec 2013, 03:56, edited 1 time in total.
Edited the question and added the OA.
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Re: If |x|=|y| and xy<0, which of the following must be true? [#permalink] New post 21 Dec 2013, 12:16
1. x and y have same magnitude, |x| = |y|
2. They have opposite signs xy<0
Implies x = -y or y = -x
So C: x+y =0
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Re: If |x| = |y| and xy < 0, which of the following must be true [#permalink] New post 25 Mar 2014, 11:49
|x| = |y| this means when they come out of Mod they will be positive----->eq1

xy < 0 this means multiplication of both values is less than zero or better to be read as -ve. Hence either x or y is -ve---->eq2

so combining eq1 and eq 2
we have

x + (-y) = 0 (because of eq 1)
(-x) + y = 0 (again because of eq 1)

Hence C
Re: If |x| = |y| and xy < 0, which of the following must be true   [#permalink] 25 Mar 2014, 11:49
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