(1) x > yAAPL wrote:If x ≠y and x and y are non-zero integers, is (x+y)/(x−y) > 0?
(1) x > y
(2) |x| > |y|
The OA is B.
I don't understand this DS question. Please, can any expert help with it? Thanks.
Case 1: x = 3 and y = 2, then (x+y)/(x−y) = (3 + 2)/(3 − 2) = 5 > 0. The answer is Yes.
Case 2: x = 3 and y = -2, then (x+y)/(x−y) = (3 - 2)/(3 + 2) = 1 > 0. The answer is Yes.
Case 3: x = 2 and y = -3, then (x+y)/(x−y) = (2 - 3)/(2 + 3) = -1/5 < 0. The answer is No. Insufficient.
(2) |x| > |y|
Only Case 1 and Case 2 are applicable here, thus, the answer is Yes. Sufficient.
The correct answer: B
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: New York | Singapore | Doha | Lausanne | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
