We need to find whether x and y are both positive. x and y can be any numbers. With that in mind, let's look at the statements.prat_agl wrote:Are x and y both Positive?
1) 2x-2y =1
2) x/y >1
OA after some discussion.
1. 2x-2y = 1 => x-y = 1/2 => x=y+1/2.
Clearly x and y can be anything, if y=0, x=1/2. Only one is positive. If y=1.5, x=2, they are both positive. Insufficient.
2. x/y > 1.
Again, for x = 2, y=1, x/y= 2/1 = 2>1, Both are positive.
But, for x = -2, y=-1, x/y= -2/-1 = 2>1, Both are negative. Insufficient.
(y+1/2)/y > 1
=> 1+ 1/2y > 1
=> 1/2y > 0. Since LHS is greater than 0, y >0. But if y>0, x = 1/2+y must also be greater than 0. Hence both x and y are positive. Sufficient.
C is the final answer.
Cheers!
