Friday, March 02, 2007

Manhattan Challenge Problem of the week ! - 02/26/07

What is xy?

(1)

(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.


Answer : A

Simplifying the original expression yields:





Therefore: xy = 0 or y — x = 0. Our two solutions are: xy = 0 or y = x.

Statement (1) says y > x so y cannot be equal to x. Therefore, xy = 0. Statement (1) is sufficient.

Statement (2) says x < x =" y" xy =" 0.">

The correct answer is A.