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.
If w+x+y=42, what is the value of wxy?
   (1) x and y are consecutive odd integers
   (2) w=2x

选项

答案C

解析 alone is insufficient because x and y could be 1 and 3, 3 and 5, and so on. (2) alone is insufficient because w and x could be 2 and 4, 3 and 6, and so on. But if the two statements are combined, the equation in the question can be restated as 3x+y=42. Since we know that x and y are consecutive odd integers, the only numbers that will match the conditions are x=11, y=9, and w=22.
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