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Is x > 2+2y ?

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Intern
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Joined: 26 Feb 2017
Posts: 25

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Is x > 2+2y ? [#permalink]

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New post 14 Sep 2017, 06:58
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Question Stats:

42% (02:21) correct 58% (01:44) wrong based on 57 sessions

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Is x > 2+2y ?

(1) x^2-3xy+2y^2=0
(2) y < -2
[Reveal] Spoiler: OA

Kudos [?]: 25 [0], given: 38

Intern
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Re: Is x > 2+2y ? [#permalink]

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New post 14 Sep 2017, 07:16
vitorpteixeira wrote:
Is x > 2+2y ?

(1) x^2-3xy+2y^2=0
(2) y < -2

Only (2) is sufficient as puting any value of y that is less than -2 gives an answer as No

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Re: Is x > 2+2y ? [#permalink]

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New post 14 Sep 2017, 07:23
parth8b wrote:
vitorpteixeira wrote:
Is x > 2+2y ?

(1) x^2-3xy+2y^2=0
(2) y < -2

Only (2) is sufficient as puting any value of y that is less than -2 gives an answer as No

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There is a no clue to check the value of x in option 2. Possibilities are there for X can greater or lesser, which is not acceptable in GMAT.

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Re: Is x > 2+2y ? [#permalink]

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New post 15 Sep 2017, 12:18
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vitorpteixeira wrote:
Is x > 2+2y ?

(1) x^2-3xy+2y^2=0
(2) y < -2


Statement 1: can be written as \(x^2-xy-2xy+2y^2=0\), or \(x(x-y)-2y(x-y)=0\)
Hence, \((x-y)(x-2y)=0\). This implies that either \(x=y\) or \(x=2y\)

Case 1: \(x=y\), if \(y\) is positive, then we have a NO for our question stem, but if \(y\) is negative then we might have a NO or a YES for our question stem. For e.g for \(x=y=-1\), we have a NO and for \(x=y=-3\) we have a YES

Case 2: \(x=2y\) or \(x-2y=0\).

as per the question stem Is \(x>2+2y\), this implies that \(x-2y>2\), or \(0>2\). Not possible, Hence we have NO
combining Case 1 and Case 2 we do not have a definite NO. Hence Insufficient

Statement 2: Clearly Insufficient as no value of x is given

Combining 1 & 2 we still don't know the relationship between \(x\) & \(y\). if \(x=y\), then we have a YES for our question stem but if \(x=2y\), then we have a NO. Hence Insufficient.

Option E

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Re: Is x > 2+2y ?   [#permalink] 15 Sep 2017, 12:18
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