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# Is x > 2+2y ?

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Intern
Joined: 26 Feb 2017
Posts: 25

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

Is x > 2+2y ? [#permalink]

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14 Sep 2017, 06:58
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Difficulty:

85% (hard)

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
Joined: 28 Aug 2017
Posts: 2

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

Re: Is x > 2+2y ? [#permalink]

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

Intern
Joined: 19 Aug 2017
Posts: 1

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

Re: Is x > 2+2y ? [#permalink]

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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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Director
Joined: 25 Feb 2013
Posts: 542

Kudos [?]: 247 [0], given: 33

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
Re: Is x > 2+2y ? [#permalink]

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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

Kudos [?]: 247 [0], given: 33

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