請問一題天山的邏輯題

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.

這題答案是E  

俺明明題目都看得懂

但是  實在想不出來  這麼答案會是E

請高手只點一下  題目跟答案的邏輯關係啊???

Asthma: 100个人.

HV:  101人. (因为: Asthma, a bronchial condition, is much less common ailment than hay fever)

Asthma中得HV的 = 95人.

那么得Asthma又得HV的人占HV的比例是:  95 / 101 要小于得Asthma又得HV的人占Asthma的比例:95/100.