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S is a set of n consecutive positive integers. Is the mean of the set an integer?

Statement #1: the range of S is an even integer

Statement #2: the median of S is an integer
  • AStatement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
  • BStatement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
  • CBOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
  • DEach statement ALONE is sufficient to answer the question.
  • EStatement 1 and 2 TOGETHER are NOT sufficient to answer the question.
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正确答案: D
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