x+y)/Z0 is x

Question

(x+y)/Z>0 is x<0? (1) xif-x-y-z-0-is-x-135550.html

sudhir18n · Answer

Clean C
st. 1 doesnt tell abt Z . insufficient
st2. nothing abt X and Y . insufficient

X<Y and Z<0

(X+y)/Z >0 and Z<0 means X+y <0
we know X<Y 
hence X<0

fluke · Answer

Sol: \frac{x+y}{z} > 0 Means, If z>0 , x+y>0 If z<0 , x+y<0 1. x0 x=-2, y=-1, z=-3; \frac{x+y}{z}=\frac{-1-2}{-3}=1 BUT x<0 Not Sufficient. 2. z<0 Means; x+y<0 x=-10; y=1; x+y= -9; x<0 x=1; y=-10; x+y=-9; x>0 Not Sufficient. Combining both; From stem we know, If z<0 , x+y<0 -----1 From St1, x

Bunuel · Answer

If \frac{x+y}{z}>0 , is x<0? Noticee that: \frac{x+y}{z}>0 means that x+y and z have the same sign: either both are positive or both are negative. (1) x < y. No info about z . Not sufficient. (2) z < 0. This statement implies that x+y must also be negative: x+y<0 . But we cannot say whether x<0 . Not sufficient. (1)+(2) From (1) we have that x < y and from (2) we have that x+y<0 . Sum these two inequalities (remember we can add inequalities with the sign in the same direction): x+y+x 2x<0 --> x<0 . Sufficient. Answer: C. OPEN DISCUSSION OF THIS QUESTION IS HERE: if-x-y-z-0-is-x-135550.html

x+y)/Z>0 is x<0? (1) x<y (2) z<0

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