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

游客2024-01-14  10

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] If p+q=400 and p<q, is p+q<r+s?
   (1) p+r+s=600
   (2) q+r>400

选项

答案 A

解析 alone is sufficient because we know from the question that p<200, because p is less than q and p+q=400, so if p+r+s=600, then r+s>400, so it is greater than p+q and the answer is "yes." (2) alone is insufficient, because the statement could be consistent with either a "yes" or "no" answer to the question, since it does not tell us the values for any of the variables.
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