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. You 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≠b, is ?
   (1) b2＞a2
   (2) a-b＞1
选项
答案A
解析 alone is sufficient; it states that the absolute value of b is greater than the absolute value of a, which means that is a negative number regardless of whether a and b are both positive, both negative, or a mix of positive and negative (plug in numbers to verify); since is a negative number, the answer to the question has to be "yes." (2) alone is insufficient, because if (a, b) equals (4, 2) then and the answer is "yes," but if (a, b) equals (4, -3) then , and the answer is "no."
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