Bunuel wrote:
9. If x and y are integers and x + y = -12, which of the following must be true?
A. Both x and y are negative
B. xy > 0
C. If y < 0, then x > 0
D. If y > 0, then x < 0
E. x - y > 0
Look at option D: if y is positive, then x must be negative in order the sum of x and y to be negative.
Answer: D.
Hey Bunuel, can you please help me understand why only option D works?
As per my understanding, there can be couple of scenarios..
A. x=-7, y=-5 => both are negative works
B. clearly doesn't work, as anyone has to be definitely negative for sum to be negative
C. if say y=-16 and x=4, x+y=-12.. this should satisfy too right?
D. if say y=4 and x=-16.. this works just the same way option (C) works
E. works when
(i) x>0 and y<0 and x > y (x=4,y=-16)
(ii) x<0 and y<0, but y > x (x=-5,y=-7)
How come, out of all these options, only option (D) is must true?
Can you help me understand where I am going wrong