单选题
If Carmen had 12 more tapes, she would have twice as many tapes as Rafael. Does Carmen have fewer tapes than Rafael?
(1)Rafael has more than 5 tapes.
(2)Carmen has fewer than 12 tapes.
A、
条件(1)充分,但条件(2)不充分.
B、
条件(2)充分,但条件(1)不充分.
C、
条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
D、
条件(1)充分,条件(2)也充分.
E、
(E) 条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.
【正确答案】
B
【答案解析】
[解析] 用C代表Carmen所拥有的磁带数量,用R代表Rafael所拥有的磁带数量,则根据题意可得Carmen与Rafael的磁带关系式为:C+12=2R
根据此式可知(1)不充分,因为C=2,R=7时满足上面的等式,而C=14,R=13时也满足上面等式;(2)充分,因为[*],也即R是C和12的算术平均值,且它们都为正整数,所以有C<R<12。
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