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.

The correct answer is E.

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GEARING UP FOR THE GMAT RETAKE.