Logic at The Strangers' Gate

A security guard, disguised as a homeless man, sits on a bench outside the entrance to Central Park at 106th Street and Central Park West. This entrance to the park is known as The Strangers’ Gate. The security guard claims that 70 percent of the people who enter the park through this gate are strangers. Only if a person is wearing underwear and has an overbite does he qualify as a stranger. If a person qualifies as a stranger, he is not nearsighted or a terrorist. All people who wear disguises are not security guards, but security guards are required not to wear underwear if they want to avoid qualifying as strangers.

Each of the following can be inferred from the information in the passage EXCEPT:

a) Liza and Nick entered the park after dark, and only one of them was wearing underwear, yet the security guard admitted neither of them through the Strangers’ Gate; hence, one of them, who was not wearing underwear, did not have an overbite.

b) It is possible that most people who enter the park through the Strangers’ Gate sometimes place orders with the Victoria’s Secret catalogue.

c) A few people who have entered through the Strangers’ Gate have undergone reconstructive dental procedures to reduce their severe overbites to make them less severe.

d) Many people who wear disguises do not work as security guards at Central Park's Strangers’ Gate.

e) The more people the security guard refuses to admit through the Strangers’ Gate, the more likely it will be that some day The City will face lawsuits for discriminating against people who do not wear underwear and do not have overbites.

(If you provide the correct answer in the comments, you will be invited to play the role of Master of Disguises in the Funhouse of Logic and Reason.)