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

游客2024-01-13  4

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 ab≠0, is c an integer?
   (1) c=5a-2b
   (2) a=2b

选项

答案 E

解析 alone is insufficient because it could give values for c that are both integers and non-integers. (2) alone is insufficient because it says nothing about c. If the statements are combined, a and b could still take values that make c either an integer (e.g., 1, 2) or a non-integer (e.g., 1/3, 1/6).
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