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.
What is the area of the rectangular region depicted above with sides A and B and diagonal C?
   (1) C2=9+A2
   (2) A+B=7
选项
答案C
解析 You need to know the product of A and B to solve this question. (1) alone is insufficient because it does not give the value for A, although you can infer from the Pythagorean theorem that B=3. (2) alone is insufficient because (A, B) could be (1, 6) or it could be (3, 4), there is no way to tell. If the statements are combined, you can take the value that B=3 and determine from the equation in statement (2) that A=4; therefore, the area of the rectangle is 12.
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