2. 外语
  3. The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are

The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are

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问题 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. Yon have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether
   Ａ.  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
   Ｂ.  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
   Ｃ.  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
   Ｄ.  EACH statement ALONE is sufficient.
   Ｅ.  Statements (1) and (2) TOGETHER are NOT sufficient.
If a≠0, is b greater than zero?
   (1) a+b=10
   (2) ab=24
选项
答案C
解析 alone is insufficient because either a or b could be a negative number, e. g., (12,-2), (-2,12). (2) alone is insufficient, because a and b could both be negative or both be positive, e.g., (-2,-12), (2,12). If both statements are combined, we know that both a and b must be positive, because if they were both negative, statement (1) would be impossible. The answer to the question is "yes."
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