All trainees in a certain aviator training program must take both a written test and a flight test, If 70 percent of the trainees passed the written test, and 80 percent of the trainees passed the flight test, what percent of the trainees passed both tests ?()
(1)10 percent of the trainees did not pass either test.
(2)20 percent of the trainees passed only the flight test.
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.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.
参考答案:D
解析:
该题可通过文氏图来解:
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从图中可知,当有10%的人未通过任一测试时,将有90%的人至少通过了两项测试中的某一项,所以两项都通过的人所占的比例为(70%+80%-90%)=60%,所以(1)充分;通过飞行测试的人由两部分组成,其一是仅通过飞行测试的人,其二是通过两项测试的人,因此当仅通过飞行测试的人占20%时,两项测试都通过的人所占的比例为80%-20%=60%,所以(2)也是充分的。