For each positive integer n, the integer n* is defined by n^* = {n}^{2} + 1. What is the value of the positive integer k ?
(1) When k is divided by 4, the remainder is 1.
(2) 18 \leq k^* \leq 36
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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: B