Bunuel wrote:
GMAT CLUB TESTS' FRESH QUESTION
If \(z ≠ 0\), is \(x = y\) ?
(1) \(xy + \frac{1}{|z|} = 0\)
(2) \(\frac{x}{y} + z^2 = 0\)
Statement 1) |z| is always positive. SO, xy=-1/|z|, xy is always negative. But, x =y, xy=x^2, which is always positive. So, x is not equal to y. Sufficient.
Statement 2) z^2 is always positive. So, x/y is always negative, which means either x is positive and y is negative or vice versa. In either case, x is not equal to y. Sufficient.
Hence, Option D is correct.
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