请教GWD的几个逻辑题

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.

答案给的是E，怎么看C也有点像啊

info doesn't mention total population.  Fact2:  Over 95 percent of people who have asthma also suffer from hay fever.

ANS is E

还是应该仔细,怎么细心也不过分.多谢各位了