sandeep1306 wrote:Are X and Y both positive?
1. 2X-2Y=1
2.X/Y >1
OA is c
Statement 1: 2x-2y = 1.
2(x-y) = 1
x-y = 1/2.
x = y + 1/2
x and y could both be positive: y = 1, x = 3/2.
x and y could both be negative: y = -1, x = -1/2.
Insufficient.
Statement 2: x/y > 1.
x and y could both be positive: x=2, y=1.
x and y could both be negative: x=-2, y=-1.
Insufficient.
Statements 1 and 2 combined: x = y + 1/2 and x/y > 1.
Plugging x = y + 1/2 into x/y > 1, we get:
(y + 1/2)/y > 1
y/y + y/2 > 1
1 + y/2 > 1
y/2 > 0
y > 0.
Since y is positive, and x = y + 1/2, we know that x is positive.
Sufficient.
The correct answer is
C.
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