Is the positive integer n odd?
(1) $$n^{2} + {(n+1)}^{2} + {(n+2)}^{2}$$ is even.
(2) $$n^{2} - {(n+1)}^{2} - {(n+2)}^{2}$$ is even.
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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 statements 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.