Is xy 0? (1) x - y = 2 (2) (x/y)

Question

Is xy > 0?

(1)  x - y = 2

(2)  \frac{x}{y}<1

chetan2u · Answer

Is xy > 0?

Do x and y have same sign?

(1)  x - y = 2 
x=4, y=2, answer is yes. 
x=2, y=0, answer is no.

(2)  \frac{x}{y}<1 
If  0<\frac{x}{y}<1 , answer is yes. 
If  \frac{x}{y}<0 , answer is no.

Combined 
If x=1, y=-1, answer is no. 
If x=-2, y=-4, answer is yes.
Insufficient

E

RajatDubey · Answer

But by combining the 2 statements we have statements, x-y = 2 & x<y.
And your combined case states x>y ( If x=1, y=-1, answer is no ), which is incorrect.

If x<y, then either x & y both will be +ve or both will be -ve, i which case we have a sufficient answer to the question.

So I think correct answer is C.

chetan2u · Answer

Why should x<y????

x/y<1….1/(-1)=-1<1…..fits in statement II
x-y=2….1-(-1)=2…..fits in statement I

Crytiocanalyst · Answer

(1)  x - y = 2 
y=-2 and x=0 no 
y=2 , x=4 , yes

Clearly insufficient

(2)  \frac{x}{y}<1 
x=1, y=-1 , no 
x=2 , y=4 , yes

when 1 and 2 is combined 
If x=1, y=-1, no
If x=-2, y=-4, yes

Therefore IMO E

Is xy > 0? (1) x - y = 2 (2) (x/y) < 1

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