Logic Problem Solution:
It's a Dog's Life
From the introduction, the dog owners of 16 Summerset
terrace live in apartments two to a floor with 1A, 2A,
and 3A on one side and 1B, 2B, and 3B on the other side
of the building. By clue 6, the Witts live on the 2nd
or 3rd floor of 16 Summerset Terrace. First, we try
the Witts on the 2nd floor: by clue 6, the Witts live
directly above the Chow Chow owners, who live directly
across the hall from the family whose pet is named
Gunnar; the latter two families would live on the 1st
floor. By clue 10, the family whose pet is named Spike
lives directly above the Terrier owners, who are across
the hall from the Manns. In clue 6, then, the family
whose pet is Spike couldn't be the Witts, who live above
the Chow Chow owners; couldn't live above the people whose
pet is Gunnar, since then the Manns would own the Chow
Chow and don't (2); and can't live on the 3rd floor on
the opposite side from the Witts, since then the Manns
and Witts would have to have the same apartment. Spike's
owners would live directly above the Witts, who would
have a Terrier, and the Manns would live across the hall
from the Witts. By clue 8, the Hills live directly above
Lucky's owners, who would then live on the 2nd floor.
However, there is now no way for pets Pete and Willis in
clue 9 to live on the same floor. So, in clue 6, the
Witts live on the 3rd floor, directly above the Chow Chow
owners, who live across the hall from the family whose dog
is Gunnar. By clue 10, the family whose pet is Spike
lives directly above the Terrier owners, who are directly
across the hall from the Manns. Spike can't be the Witts'
pet, since the Witts live above the Chow Chow owners. The
Terrier can't be Gunnar, since then the Manns would have
the Chow Chow and don't (2). Spike must be the Chow Chow.
By clue 10, therefore, the Terrier owners live in the
1st floor apartment directly under the people who have
Spike, and the Manns live directly under Gunnar's
owners. By clue 8, the Hills live directly above the
family whose pet is named Lucky. The Hills can't be
Spike's family, since Lucky isn't a Terrier (1). The
Hills have Gunnar as a pet, and Lucky belongs to the
Manns. By clue 9, the families with pets Pete and
Willis live on the same floor, which must be the 3rd.
The Witts don't have Willis (3), so their dog is Pete;
and Willis's family is across the hall from the Witts.
By elimination, Britney is the Terrier. Then Lucky
is a Poodle (7). By clue 4, the family with the Shih
Tzu lives directly above the Duffs; the Shih Tzu must
be the Witts' dog, and the Duffs own Spike. By clue
11, the Cobbs have Britney as their pet; and the Barrs
are Willis's family. Willis is a Dachshund and Gunnar
a Schnauzer (5). The Barrs live in 3B (12), so the
Hills are in 2B and the Manns in 1B. The Witts have
apartment 3A, the Duffs 2A, and the Cobbs 1A. The six
dogs live at 16 Summerset Terrace as follows:
- 1A - Cobbs, Britney, Terrier
- 1B - Manns, Lucky, Poodle
- 2A - Duffs, Spike, Chow Chow
- 2B - Hills, Gunnar, Schnauzer
- 3A - Witts, Pete, Shih Tzu
- 3B - Barrs, Willis, Dachshund
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