Statement 1 simplifies to x-y = 1/2

Let us try some values.

x = 3/4 , y = 1/2 => x - y = 1/2 => YES

x = -1/4, y = -3/4 => x -y = 1/2 => NO

this is INSUFFICIENT

Statement 2 : x/y > 1

Case 1) x = +ve, y = +ve

Case 2) x = -ve, y = -ve

Clearly INSUFFICIENT

Combine both

x = y + 1/2

(y + 1/2)/y > 1

=> 1 + 1/2y > 1

=> 1 / 2y > 0

Clearly y > 0

and x > y

Hence both together are Sufficient

## Please log in or register to add a comment.