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

游客2024-01-14  5

问题 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. Yon 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] In a club for left-handed people that also admits the ambidextrous, are more than 1/3 of the members ambidextrous?
   (1) Exactly 50 percent of the male members of the club are ambidextrous.
   (2) The number of females in the club is exactly 1 fewer than half the number of male members.

选项

答案 C

解析 alone is insufficient, because it leaves out the female members of the club. (2) alone is insufficient, because it says nothing about the percentage that is ambidextrous. When the statements are combined, it becomes clear that at least 1/3 of the members must be ambidextrous, because males make up at least 2/3 of the membership. Plug in numbers to verify: if there are 2 male members and no female members, then 1 is ambidextrous, which is greater than 1/3; if there are 1,000,000 male members in the club, then at least 500,000/1, 499, 999 total members are ambidextrous, which is greater than 1/3.
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