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 M is a set of five numbers p, q, r, s, and t, is the range of numbers in M greater than 5?
   (1) The average (arithmetic mean) of p, q, r, s, and t is 5.
   (2) p-r>5.

选项

答案 B

解析 alone is insufficient, because the spread of numbers could be 1, 1, 1, 1, 21 or 5, 5, 5, 5, 5. (2) alone is sufficient, because it states that the range between p and r is greater than 5, so the range of M, which includes p and r, must be greater than 5 as well.
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