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# Is x > 2+2y ?

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Intern
Joined: 26 Feb 2017
Posts: 30
Location: Brazil
GMAT 1: 610 Q45 V28
GPA: 3.11
Is x > 2+2y ?  [#permalink]

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14 Sep 2017, 06:58
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Question Stats:

40% (02:18) correct 60% (01:43) wrong based on 121 sessions

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Is x > 2+2y ?

(1) x^2-3xy+2y^2=0
(2) y < -2
Intern
Joined: 28 Aug 2017
Posts: 2
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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Intern
Joined: 19 Aug 2017
Posts: 1
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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Re: Is x > 2+2y ?  [#permalink]

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15 Sep 2017, 12:18
1
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]

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21 May 2018, 22:09
1
vitorpteixeira wrote:
Is x > 2+2y ?

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

This question becomes extremely simple if you get used to right DS question-solving strategy

x > 2+ 2y ? . . . . . No info can be inferred so let's move to the statements.

S2 looks easy to tackle...
2. y< -2
We do not know anything regarding x.
INSUFFICIENT.

S1. (1) x^2-3xy+2y^2=0
Cannot infer anything so we need to simplify it.

After simplifying we get (x-y)(x-2y)=0
So, either x=y OR x=2y

Case 1. x=y
Testing with the inequality x > 2 + 2y?
LHS= y and RHS 2+2y
After simplifying further we get that y < -2. . . . Notice that this is S2... That means S2 is written deliberately by test-makers
We do not know anything about x. So, case 1 is insufficient.

At this point, we can skip testing the case 2 as we are getting two different answers.

Case 2. x=2y
Testing with the inequality x > 2 + 2y?
LHS=2y and RHS=2+2y
After simplifying further we get that 0 > 2. . . . . this is impossible. So, x is less than 2+2y.

Combining S1 and S2
Case 1 is correct as y < -2
But case 2 is still incorrect.

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Re: Is x > 2+2y ? &nbs [#permalink] 21 May 2018, 22:09
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