Chherleader Samantha wants to go on a date and prefers her date to be tall, dark and handsome.?

Question

Of the preferred traits - tall, dark and handsome - no two of Aaron, Biff, Cecil and Dino have the same number.
1. Only Aaron or Dino is tall and fair.
2. Only Biff or Cecil is short and handsome.
3. Aaron and Cecil are either both tall or both short.
4. Biff and Dino are either both dark or both fair.

Which of these guys will be her date?

Answer 1

Her date will be Cecil.

"Of the preferred traits - tall, dark and handsome - no two of Aaron, Biff, Cecil and Dino have the same number. " Therefore they each have 0, 1, 2, 3 of the traits.

Senario A:

See #1. If Dino is tall and fair, then #4 tells us that Biff is fair, too. In this case, neither will be the perfect date, so one of Aaron and Cecil must be tall, dark and handsome.. Since we have #3, these two have to be both tall.

Aaron: tall
Biff: short
Cecil: tall
Dino: tall, fair

Now three of the four males are tall, which is a preferred trait. We already know that one person has no preferred trait, so this person must be the only short one - Biff, who is short, fair and not handsome.

Look at #2: Only Biff or Cecil is short and handsome. Well, Biff is certainly not handsome, and Cecil is not short - we cannot satisfy the requirement, so we conclude that the one and only assumption - Dino is tall and fair - is wrong.


Senario B:

#1. Aaron must be the tall and fair one.

#3. Cecil should be tall as well.

#2. Cecil is not short, so Biff is the short and handsome one.

Each of Aaron, Cecil and Biff has at least one preferred trait, meaning that the one with no perferred trait can only be Dino. Therefore, Dino is short, fair and not handsome.

Of the other three, Aaron is fair, Biff is short, so they cannot be the perfect date. Only Cecil is left.

Answer 2

Cecil