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 counter- clockwise), 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.
Is ab>2?
   (1) a=2
   (2) 0
选项

答案C

解析 Statement (1) does not give us a definite yes or no answer, because b could be a lot of different numbers. So we can eliminate A and D.
   Statement (2) is also not sufficient, as a and b could equal 1 and 2, or 0.5 and 2, or 2 and 4, or an infinite number of other variations in which a is smaller than b. So B is not correct. Putting them together, we know that a=2, and b must be larger than a to satisfy statement (2). ab then must be larger than 2 and the answer to the question is definitely yes. C is the correct answer.
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