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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
2025-02-27
8
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] A call to Rosie’s Psychic Hotline costs $5.99 for the first 2 minutes and $1.99 for each additional minute. Stuart called the hotline for x minutes, where x is an integer. How many minutes long was the call?
(1) The total charge for the call was $11.96.
(2) The charge for the last 3 minutes of the call was $0.01 less than half the total cost of the call.
选项
答案
D
解析
alone is sufficient because the only way to arrive at a charge of $11.96 is with the initial charge of $5.99 for two minutes plus $5.97 for three additional minutes at $1.99 each; 5 minutes. (2) alone is sufficient, because the only time for which the statement is true is 5 minutes; the easiest way to determine this may be to plug in different numbers of minutes and see which one works. If the last 3 minutes cost $1.99 per minute, then the last 3 minutes cost $5.97. This is one cent less than $5.98, which is half of the cost of a 5-minute call, $11.96.
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