If a, b, and c are positive integers, what is the remainder after b-a is divided by 3?
(1)$$a=c^{3}$$
(2)$$b={(c+1)}^{3}$$
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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.
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正确答案: C