In the xy-coordinate plane shown below, if xy≠0, then the

Question

In the  xy -coordinate plane shown below, if  xy≠0 , then the point ( x,y ) lies in which quadrant?
1) point ( x-y, x+y ) lies in the second quadrant.
2)  xy<0

abhish27 · Answer

From (i) x-y<0 thus x<y and x+y lies in the II quad  Insufficient

From (ii) xy<0 either of x or y is -ve  Insufficient
 
Combining both statements y>x and either of x or y is -ve we get from (i) y should be positive as x+y is positive so x is negative and y is positive so quadrant II
ANS(C)

ArunSharma12 · Answer

statement 1:
 x-y<0 
 x+y>0 
possible signs of (x,y) =  
not sufficient

statement 2:
 xy<0 
possible signs of (x,y) =  
not sufficient

combining both statements, possible signs of (x,y) =  ; ie second quadrant
Ans: C

minustark · Answer

1) In the second quadrant point (x,y) is like, x<0 and y>0. So, x -y < 0 and x +y > 0. When x=-5, y = 6, this condition is true. Again when, x = 2, y = 4, it is true. In the first case(x,y) is in the second quadrant and in the second case (x,y) in the first quadrant. Not sufficient. 2) x and y has opposite signs. So they can either lie in the second and fourth quadrant. Not sufficient. Together,(x,y) can situate only in second quadrant.Sufficient. C is the answer.

In the xy-coordinate plane shown below, if xy≠0, then the

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GMAT Data Sufficiency (DS) Questions

In the xy-coordinate plane shown below, if xy≠0, then the

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