The following data sufficiency problems consist of a question and two statements

游客2024-01-14  16

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. [br] Of the 3,600 registered voters in Smith County who took part in the county referendum on altering the property tax exemption, 2,400 were Democrats and 1,200 were Republicans. What was the total number of female voters who voted in favor of the exemption?
   (1) The number of female Democrats who voted in favor of the exemption was three times the number of female Republicans who voted in favor of the exemption.
   (2) The 150 male Republicans who voted in favor of altering the exemption represented 2/5 of all Republicans who voted in favor of altering the exemption.

选项

答案 C

解析 alone is insufficient because it gives no actual numbers to work with. (2) alone is insufficient because it says nothing about the number of female Democrats who voted in favor. If the statements are combined, we see that if 150 male Republicans was 2/5 of the Republican total in favor, then 225 female Republicans voted in favor (150×3/5), and 675 female Democrats voted in favor (225×3), and so 900 female voters voted in favor (225+675).
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