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. Yon 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.
Over the course of a year, a certain house appreciated in value by 10 percent while the house next door decreased in value by 10 percent as a result of foundation damage. At the end of the year, the reduced price of the second house was what percentage of the increased price of the first house?
   (1) The amount by which the first house increased in value was half as much as the amount by which the second house decreased in value.
   (2) At the end of the year, the second house was worth $70,000 more than the first house.
选项
答案A
解析 alone is sufficient; it allows you to infer that the initial value of the second house was twice that of the first house, so if x is the initial value of the first house and y is the initial value of the second house, y can be expressed as 2x. At the end of the year, the ratio of revised values of the second house to the first was 1.8x:1.1x; which can be expressed as a percentage as 164 percent. (2) alone is insufficient, because there are many values of both houses for which the statement could be true.
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