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

游客2024-01-14  17

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] Did Alberto pay more than N dollars for his new stereo, excluding the sales tax?
   (1) The price Alberto paid for the stereo was 1.05N, including the sales tax.
   (2) Alberto paid $35 in sales tax on the purchase of his new stereo.

选项

答案 E

解析 alone is insufficient because the answer could be "yes" or "no" depending on the percentage of the sales tax. (2) alone is insufficient because it gives no information about the price of the stereo relative to N. Combining the two statements yields no useful information, since neither the sales tax percentage nor the total purchase price is known, so the question cannot be resolved.
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