Is x + y 0 ? (1) |x| + y 0

Question

Is x + y > 0 ?

(1) |x| + y < 0
(2) xy > 0

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chetan2u · Answer

(1) |x| + y < 0
As |x| is non negative, y<0.
But |y|=-y, when y<0 
|x|+y<0..........|x|<-y.Therefore, |x|<|y|.
As y is negative and the absolute value of y is more than that of x, the sum of x+y will take sign of y. 
x+y<0
Sufficient

(2) xy > 0
Both x and y have same sign. 
If both are positive, the answer is yes. 
If both are negative, the answer is no.

A

Saasingh · Answer

A.

From (1) we get that Y is a larger negative number than X. Therefore, x+y will always be negative (whether x is positive or negative, doesn't matter). ----->  SUFFICIENT

From (2) we get that x and y have same signs. If both positive then answer is YES. If both negative then the answer is NO. ---->  NOT SUFFICIENT

TarunKumar1234 · Answer

Is x + y > 0 ?

Stat1: |x| + y < 0
It means, y<0 and y< -|x|, so, x + y <0 always. Sufficient.

Stat2: xy > 0
either, x>0 and y>0 then x + y >0
or, x<0 and y<0 then x + y <0, so, not sufficient.

So, I think A.

Archit3110 · Answer

target determine whether x+y>0
#1
 |x| + y < 0
value of x within the mod would be +ve always therefore value of y has to be -ve 
and also for whatever -ve value of y the value of x would either be -ve or else less than +ve value of (-ve Y) value
eg if y is -5 then x is +4.99>x
sufficient to say that x+y>0 is not possible sufficient

#2

xy > 0
here both x & y have to be of same sign
it can give both +ve or -ve values for x+y>0
insufficient
option A

akadiyan · Answer

Is x + y > 0 ?

(1) |x| + y < 0

|x| is positive , so the value of Y needs to be negative to have sum less than 0. Also |x| < |y| , so we know that x + y <0.

Option (1) Sufficient.

(2) xy > 0
X and Y both can be positive or both can be negative. We only know that both X and Y are of same sign.

Option 2 - Not Sufficient.

Ans A

GCMEMBER · Answer

Is x + y > 0 ?

(1) |x| + y < 0
|x| < -y
|x| is less than the absolute value of y.
Therefore, x + y > 0
Sufficient

(2) xy > 0
If x and y are positive, x + y > 0
If x and y are negative, x + y < 0
Not sufficient

Option A

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Is x + y > 0 ? (1) |x| + y < 0 (2) xy > 0

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