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x can be 0 and y = -1/2 or x = 1/4 and y = 1/4 etc

Insufficient.

St2:
x/y = 1
x = y

Can be both positive or both negative

Using both, sufficient. Both must be positive.

Ans C[/quote]

Hi ywilfred, I don't get the answer of this question... When we analyze statements 1&2, the information we have is of 2 lines that never intersect (slope is 1 in both cases), therefore there is not solution! Could you please elaborate?

[quote="hellofriends"]the OA for this question is "C".Both of the Conditions together are sufficient..[/quote]
Can you check then whether you have written the statement 2 correctly?
The answer is clearly E... we have two parallel lines, meaning that there is no solution! In addition, if x=y you can never get the solution x/2-y/2=1

Ans E
(1) 2x-2y=1 >> x-y=0.5 >> x is +ve, but can't say about y (It can be either). NOT SUFFICIENT
(2) x/y > 1 >> both can be -ve or +ve, also implies that x>y. But cant say for sure if both are +ve. Hence NOT SUFFICIENT
(3) Together: x>0 and x>y; still cant say about y. Hence NOT SUFFICIENT