PrepTest 92+, Section 4, Question 21

Difficulty: 
Passage
Game
4

Exactly five hats are displayed in a boutique. The hats are numbered 1 through 5, and each hat is one of three kinds: either a fedora, a pillbox, or a tam. The display must be consistent with the following:

Exactly five hats are displayed in a boutique. The hats are numbered 1 through 5, and each hat is one of three kinds: either a fedora, a pillbox, or a tam. The display must be consistent with the following:

Exactly five hats are displayed in a boutique. The hats are numbered 1 through 5, and each hat is one of three kinds: either a fedora, a pillbox, or a tam. The display must be consistent with the following:

Exactly five hats are displayed in a boutique. The hats are numbered 1 through 5, and each hat is one of three kinds: either a fedora, a pillbox, or a tam. The display must be consistent with the following:

At most two pillboxes are displayed.

3 is not a pillbox.

2 is the same kind of hat as 5.

If 1 is a different kind of hat than 3, then 2 and 4 are both tams.

If 3 and 4 are both tams, then 1 is a pillbox.

Question
21

Which one of the following cannot be true?

Five fedoras are displayed.

Four fedoras and one pillbox are displayed.

Three fedoras and two pillboxes are displayed.

Two pillboxes and three tams are displayed.

One pillbox and four tams are displayed.

D
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