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If x, y, and z are distinct integers, which integer is the median of the set {x, y, z}?
(1) x+y<z
(2) x>y
In the original condition we have 3 variables (x,y,z) and since we need to match the number of variables and equations we need 3 equations. Since there is 1 each in 1) and 2), E is likely the answer.
Using both 1) & 2) together we have x=1, y=-1, z=2 thus median=x, but if x=1, y=-10, z=-1 then the median=z. therefore the answer is not unique, and the conditions are not sufficient. The answer is E.
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