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by heshamelaziry » Sun Oct 18, 2009 10:00 pm
Is (x + y)2 > x2 + y2 ?

(1) x + y < 0

(2) |x| = y

sTATEMENT 1 IS KILLING ME OA C. OE is limiting the values of x and y to arrive at the OA. Please consider all possibilities for statement 1.
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Source: — Data Sufficiency |
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by sanjana » Wed Oct 21, 2009 2:55 am
Question : is (x+y)^2 > x^2 + Y^2
This reduces to : is 2xy>0,or is xy>0

Statement 1:
-----------

x+y < 0

Picking numbers we can see that both x and y can be -ve in which case xy>0
say,
x=-10,y=5 , x+y < 0 but xy <0
Hence,insufficient.

Statement 2:
------------

|x|=y
==> x=-y or x=y
If x=y,whether both are +ve or -ve,xy will be +ve
if x=-y,then xy will be -ve
Insufficient

Combining 1 and 2 we get

We need x+y < 0 hence if x=-y then x+y = 0 which violates statement1.
Hence X=y and hence xy>0
Pick C.
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