MGMAT Problem

Question

Can someone please help me solve this via  factoring ...I want to see how the cases play out...

Is x·|y| > y^2?

(1) x > y

(2) y > 0

gmatnub · Answer

The stem is basically asking: is x positive and greater than y?

C

jimmyjamesdonkey · Answer

gmatnub, can you demonstrate that rephrasing using algebra?

gmatnub · Answer

You know that y^2 must be positive, stem is asking x*|y| > y^2, so |y| must be positive

is x positive and greater than y?

marshpa · Answer

C is my pick. Y^2= |y|*|y|

sd870 · Answer

x·|y| > y^2?
=> x^2*y^2 > y^4 ?
=> y^2(x^2-y^2) > 0 ?
(1) Insuff as y could be zero
(2) Insuff as x could equal y

From (1) & (2), we get the answer, So C.

Vavali · Answer

I got C to.

(1) y^2 is positive. This means y |y| must be positive. |y| could be 0 meaning x*|y| will equal y^2 or y could equal 10 and x could equal 11 hence x * |y| > y^2. thus insufficient.

(2) y > 0 however it does not tell us anything about x.

Combine the two statements and it is sufficient since y > 0 and x >y.

MGMAT Problem

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards