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# x > y

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Founder
Joined: 18 Apr 2015
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x > y [#permalink]  21 Nov 2017, 12:59
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Question Stats:

76% (00:42) correct 23% (00:15) wrong based on 56 sessions
$$x > y$$

 Quantity A Quantity B $$| x + y|$$ $$| x - y|$$

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.
[Reveal] Spoiler: OA

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Intern
Joined: 11 Jan 2018
Posts: 44
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Kudos [?]: 37 [2] , given: 7

Re: x > y [#permalink]  28 Feb 2018, 13:42
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Given that, x is greater than y.
so either both x and y are positive,
or
x is positive and y negative.

In former case, Quantity A is greater, while in later case, Quantity B comes out as greater. Thus, relationship is not sufficient to answer the question.
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Director
Joined: 07 Jan 2018
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Kudos [?]: 601 [1] , given: 88

Re: x > y [#permalink]  18 Mar 2018, 02:21
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Take two simple numbers that are easy to work with and satisfies the condition.
$$x = 1$$ and $$y =0$$

Quantity A becomes $$1 + 0 = 1$$
Quantity B becomes $$1 - 0 = 1$$
both the quantities are equal so you can cross off A and B

Now take $$x=2$$ and $$y =1$$
Quantity A becomes $$2+1 =3$$
Quantity B becomes $$2-1 =1$$
quantity A is greater

Therefore option D
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Director
Joined: 09 Nov 2018
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Kudos [?]: 27 [0], given: 1

Re: x > y [#permalink]  20 Dec 2018, 19:08
GREMasterBlaster wrote:
Given that, x is greater than y.
so either both x and y are positive,
or
x is positive and y negative.

In former case, Quantity A is greater, while in later case, Quantity B comes out as greater. Thus, relationship is not sufficient to answer the question.

Please Check, only this logic does not work
Let x=5 y=2 then A=7 and B=3
now
Let x= -2 y=-5 then A=7 and B=3 Both cases A is lager

But If we consider x=3 and y=0
then
A=3 and B=3 A and B Equal

Due to elaborate logic, D is correct
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Intern
Joined: 21 Dec 2018
Posts: 20
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Kudos [?]: 4 [1] , given: 2

Re: x > y [#permalink]  21 Dec 2018, 09:58
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the trick here is to keep in mind the border cases.
Re: x > y   [#permalink] 21 Dec 2018, 09:58
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