x-ALI-x wrote:

Are x and y both positive?

1) 2x - 2y = 1

2) x/y > 1

IMO E

Stmt 1 : 2x - 2y = 1 ==> 2(x - y) = 1 ==> x - y = 1/2.

Here are examples for x and y satisfying Stmt 1 equation. hence cannot say whether X > 0 and Y > 0. Insufficent.

(x, y) = (+,+) ==> x = 1, y = 1/2

(x, y) = (+,-) ==> x = 1/2, y = -1

(x, y) = (-,+) ==> x = -1/2, y = 1

(x, y) = (-,-) ==> x = -1/4, y = -3/4

Stmt 2 : x/y > 1 ==> x > y.

Here are examples for x and y satisfying Stmt 2 equation. hence cannot say whether X > 0 and Y > 0. Insufficent.

(x, y) = (+,+) ==> x = 2, y = 1

(x, y) = (+,-) ==> x = 2, y = -1

(x, y) = (-,+) ==> not possible

(x, y) = (-,-) ==> x = -1, y = -2

Now consider both the stmt together. Here we can conclude that X > 0, but Y can be > 0 or not greater than 0. Hence insufficent.