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The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are
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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2019-02-01
63
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.
An employee at a company was given the task of making a large number of copies. He spent the first 45 minutes making copies at a constant rate on copier A, but copier A broke down before the task was completed. He then spent the next 30 minutes finishing the task on copier B, which also produced copies at a constant rate. How many total minutes would the task have taken had copier A not broken down?
(1) Copier A produced twice as many copies in its first 5 minutes of operation as copier B produced in its first 15 minutes.
(2) Copier B produces 10 copies per minute.
选项
答案
A
解析
alone is sufficient because it gives the relative rates of the two machines; if copier A can produce twice as many copies as copier B can produce in three times the time, then it could have finished the task in one-sixth the time it took copier B, or 5 minutes. (2) alone is insufficient because it does not allow you to determine the relative speeds of the two machines.
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