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 counter- clockwise), 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 , what is the value of r?
   (1) r2=625
   (2) t/s=5
选项
答案D
解析 Statement (1) tells us that r=25 or -25, but when you look at the question stem, the radical sign for r is present, which only allows for a positive root. So . Therefore statement (1) is sufficient and we can eliminate B, C, and E.
   Statement (2) also gives us enough information to solve for r. If we rearrange the equation in the question stem, we can get t on one side, giving us . So statement (2) is also sufficient, and our answer is D.
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