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The following data sufficiency problems consist of a question and two statements
The following data sufficiency problems consist of a question and two statements
游客
2024-01-14
23
管理
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] Greg’s long-distance telephone plan charges him $0.50 for the first 4 minutes of a call, and $0.07 per minute for each subsequent minute. Greg made a call to Carrie for x minutes, where x is an integer. How many minutes long was Greg’s call?
(1) The last 7 minutes of Greg’s call cost $0.22 less than the first 7 minutes of the call.
(2) The call did not cost more than $1.05.
选项
答案
C
解析
alone is insufficient; we know that the first 7 minutes cost $0.50+3×$0.07=$0.71; the least the last 7 minutes could cost is 7×$0.07=$0.49, which is exactly $0.22 less than the first 7 minutes, so we know that the last 7 minutes did not include the first 4 minutes, but that is all we can tell. (2) alone is insufficient, because the call could have lasted any length of time under 12 minutes (12 minutes=$1.06, 11 minutes=$0.99). If the two are combined, the only value that meets all the conditions is 11 minutes.
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