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 area of the shaded region?
   (1) AB=8.
   (2) Angle AOR=45°.
选项
答案C
解析 Statement (1) alone lets us find the radius, which can tell us the area of the whole circle, but we still don’t know what portion of the circle is made up by the shaded region, so we have to eliminate A and D. Statement (2) alone tells us what proportion of the circle is encompassed by the shaded region, but doesn’t tell us the area of the whole circle, so we can eliminate B. Putting the statements together, we have both pieces of information, which we can use to find the area of the shaded region, so statements (1) and (2) are sufficient together, and our answer is C.
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