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题库 / GMATLA-CR-10
Fact: Asthma, a bronchial condition, is much less common ailment than hay fever, an allergic inflammation of the nasal passages.
Fact: Over 95 percent of people who have asthma also suffer from hay fever.
If the information given as facts above is true, which of the following must also be true?
Hay fever is a prerequisite for the development of asthma.
Asthma is a prerequisite for the development of hay fever.
Those who have neither hay fever nor asthma comprise less than 5 percent of the total population.
The number of people who have both of these ailments is greater than the number of people who have only one of them.
The percentage of people suffering from hay fever who also have asthma is lower than 95 percent.
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Fact2: p(a+hf)/p(a)＝0.95
A 没有提到两个谁先发生，无法证明是先决条件
E p(a+hf)/p(hf)＜0.95 因为分母变大，故正确
正确思维
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1. Asthma is less common, 所以Asthma是小圆
2. Hay fever is more common，所以是大圆
3. 一个小圆和一个大圆交叉，交叉面积占小圆的95%，那么交叉面积占大圆肯定小于大圆的95%
D推不出来
Fact2: p(a+hf)/p(a)＝0.95
A 没有提到两个谁先发生，无法证明是先决条件
E p(a+hf)/p(hf)＜0.95 因为分母变大，故正确
条件：
H>S
H/AS=95%
D肯定错，因为患H的人比患A的多，只知道患A群体的比例情况，不知道H群体的情况。
E：患H的人肯定比患A的人多，而同时患A+H的是A的95%，那么在H群体中，这个数字肯定会更小，因为分母变大了
解题：韦恩图
忽略了这个前提