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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
10
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] Ajar contains 30 coins, of which 20 are nickels and 10 are dimes. If 7 coins are removed, how many nickels are left?
(1) More nickels are removed than dimes.
(2) The remaining coins in the jar are worth $1.55.
选项
答案
B
解析
From the question, we know that the original value of the coins in the jar was $2.00. Statement (1) is insufficient; it leaves us with four different possibilities for the number of nickels left, since 4, 5, 6, or 7 nickels could have been removed. Statement (2) tells us that $0.45 was removed from the jar. The only configuration of 7 nickels and dimes that equals $0.45 is 2 dimes and 5 nickels. Therefore, the only possible answer is that 15 nickels are left. (2) alone is sufficient.
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