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.
A type of candy comes in two flavors, sweet and sour, and in two colors, yellow and green. The color and flavor of the individual pieces of candy are not related. If in a certain box of this candy 1/4 of the yellow pieces and 5/7 of the green pieces are sour, what is the ratio of the number of yellow pieces to the number of green pieces in the box?
   (1) In the box, the number of sweet yellow pieces is equal to the number of sour green pieces.
   (2) In the box, the number of green pieces is two less than the number of yellow pieces.
选项
答案A
解析 alone is sufficient because it sets up a ratio between the colors and flavors; if 1/4 of the yellow pieces are sour, then 3/4 of the yellow pieces are sweet, and if 5/7 of the green pieces are sour, then 2/7 of the green pieces are sweet; if the number of sweet yellow pieces is equal to the number of sour green pieces, then 3/4 of the number of yellow pieces is equal to 5/7 of the number of green pieces; if y represents the number of yellows and g represents the number of greens, then the ratio can be represented as 3y/4 = 5g/7, which can be restated as 21y= 20g, or fig= 20/21. Statement (2) alone is not sufficient because it does not give sufficient information to determine the total number of either the greens or the yellows.
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