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.
In the figure above, what is the value of x?
   (1) 2y=100.
   (2) ABCD is a parallelogram.
选项
答案C
解析 Statement (1) is tempting, because the figure appears to be a parallelogram, but we don’t really know that it is without some indication that there are two sets of parallel lines. So statement (1) is actually not sufficient, and we can eliminate A and D. Remembering that we have to take statement (2) alone, and it is not sufficient by itself to solve for the value of x, we eliminate B. Putting both statements together, we have the information we need: If the figure is a parallelogram, then the angles add to 360. If 2y=100, then 2x=260 and x=130. So our answer is C.
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