If the product of two integers X and Y is negative, what is the value of X-Y?
1. X+Y = 2
A. Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
B. Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient
I don't agree with OA
OA = E
x, y carry opposite signs
If x is -ve and y +ve: x-y = -(x+y)
If x is +ve and y is -ve: x-y = x+y
(1) Gives x+y=2; insufficient as answer could be 2 or -2
(2) Tells us 2 things -> x is the one which is -ve and y is +ve. x and y also cannot have the same value.
(1) and (2) together ---> since we know x is -ve and y is +ve then x-y = -(x+y)
=> x-y = -2 (as we know from (1) that x+y =2)
How can it be E? It has to be C.