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?
A. Hay fever is a prerequisite for the development of asthma
B. Asthma is a prerequisite for the development of hay fever
C. Those who have neither hay fever nor asthma comprise less than 5 percent of the total population
D. The number of people who have both of these ailments is greater than the number of people who have only one of them
E. The percentage of people suffering from hay fever who also have asthma is lower than 95 percent.
Key is E. But I can't understand why is E. Cos' Fact only said over 95% people who get asthma also suffer from hay ferver, but fact did not said any thing about people who have hay fever also suffer from asthma, although asthma is much less common than hay fever.
Please replace the title with your question number.
In E, its denominator, people who have hay fever, is larger than that of who have asthma, while sharing the same numerator.
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