If x, y, and z are positive integers, is x - y odd?
(1)$$x = z^2$$
(2)$$y = (z-1)^2$$
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AStatement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
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BStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
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CBOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
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DEACH statement ALONE is sufficient.
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EStatements (1) and (2) TOGETHER are NOT sufficient.