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Time-35 minutes
23 Questions
Questoins 1-6
A man buys three outfits-X, Y, and Z-each of which consists of two articles
of clothing.
Each of the articles of clothing is either brown gray or navy.
At least one of the outfits is made up of two articles different in color
from one another.
No more than two of the outfits contain the same combination of colors.
Outfit X contains at least one navy article of clothing.
Outfit X contains at least one brown article of clothing and does not
contain a gray article.
1. Which one of the following can be the colors of the man’s outfits?
(A) X: gray and navy; Y: brown and gray; Z: gray and gray
(B) X: brown and gray; Y: brown and navy; Z: gray and gray
(C) X: navy and navy; Y: brown and brown; Z: brown and navy
(D) X: brown and navy; Y: brown and navy; Z: brown and navy
(E) X: navy and navy; Y: brown and brown; Z: navy and navy
2. If outfits X and Y each consist of one brown article and one navy article
of clothing, what combinations for outfit Z?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
3. If outfit Z does not contain two brown items of clothing, what is the
maximum number of items of clothing in the three outfits that can be navy?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
4. If outfit Y consists of two brown articles of clothing and outfit Z consists
of two navy items, what is the total number of possible color combinations for
outfit X?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
5. Which one of the following color combinations for outfit Z would be
acceptable under any of the acceptable color combinations for outfits X and Y?
(A) gray and gray
(B) brown and gray
(C) brown and brown
(D) brown and navy
(E) navy and navy
6. If no two outfits contain the same color combination but each contains at
least one navy item, which one of the following is a complete and accurate
list of the possible combinations for outfit X?
(A) gray and navy
(B) brown and navy
(C) navy and navy
(D) gray and navy; brown and navy
(E) gray and navy; navy and navy
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Question 7-11
Five seats on a train are arranged in two rows that face each other. The
seats in row 1 are seat 1 and seat 2. The s
eats in row 2 are seat 3, seat 4,
and seat 5 in that order. Seat 1 is directly across from seat 3. Seat 2 is
directly across from seat 4. Seat 5 is not directly across from any other seat.
Three women-, Betty, and Carol-and two men-David Edmund-each must be seated in
one of me five seats, one person to a seat.
Betty sits in seat 4.
Carol sits next to neither Betty nor David.
Alice does not sit directly across from Carol.
