Mad Nomads
Every Saturday in the four-bedroomed Nomad house, the four occupants, one to each room, change bedrooms so that only one of them keeps the same room. On one particular Friday, Arnie occupied the front left bedroom, Barbara the front right one, Carrie the back left, and Denzil the back right. The next day, they changed rooms just before the landlord called for the rent. When he demanded his money, each made a statement about the location of the rent money.
1) "The bedroom to my right," said Arnie.
2) "The room in front of me," claimed Barbara.
3) "The room to my left," said Carrie.
4) The room diagonally to the right of mine." said Denzil.
The problem was, two of the tenants lied, while two told the truth. (Note: In a statement, a liar may refer to a room that does not exist, such as one "behind" or "to the left" of a back left room.)
Can you name the new occupant in each room and state who had the rent?
1) "The bedroom to my right," said Arnie.
2) "The room in front of me," claimed Barbara.
3) "The room to my left," said Carrie.
4) The room diagonally to the right of mine." said Denzil.
The problem was, two of the tenants lied, while two told the truth. (Note: In a statement, a liar may refer to a room that does not exist, such as one "behind" or "to the left" of a back left room.)
Can you name the new occupant in each room and state who had the rent?
posted by Zaux at
10:02 PM
9 Comments:
Mad Nomads
where
A=Arnie
B=Barbara
C=Carrie
D=Denzil
original config is
AB
CD
by quick inspection
AD
CB
seems to work
A remains, A,B tell truth, C,D lie
rent money with D
May be other solutions.....
Cam
Meh....
disregard above as A and C remained in same rooms
Cam
Mad Nomads
where
A=Arnie
B=Barbara
C=Carrie
D=Denzil
original config is
AB
CD
the only solution is
AC
BD
A remains
C and B tell the truth
A and D lie
money is with A
Cam
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Cam ... the landlord checked and said there was no money at Arnie's apartment.
A=arnie
B=Barbara
C=Carrie
D=Denzil
Original config same as Cam.
New config:
AC
DB
A remains
A,B tell the truth
C,D lie
money is with C
I hope so.
CPSR
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Carrie is the culprit ....
Mad Nomads
where
A=Arnie
B=Barbara
C=Carrie
D=Denzil
original config is
A B
C D
A>
B^
C<
D/
Try each possible configuration:
O represents does not exist
A D
B C
A> D
B^ A
C< B
D/ O
A C
D B
A> C
B^ C
C< A
D/ C
D B
A C
A> C
B^ O
C< A
D/ C
C B
D A
A> O
B^ O
C< O
D/ B
D A
C B
A> O
B^ A
C< O
D/ B
B D
C A
A> O
B^ O
C< O
D/ O
C A
B D
A> O
B^ C
C< O
D/ O
B C
A D
A> D
B^ O
C< B
D/ O
only combo with one room chosen twice is:
D B
A C
A> C
B^ O
C< A
D/ C
Answer:
B remains
A and D tell truth, point to C
B and C lie
Money with C
Didn’t have my morning coffee before, so over half my neurons were still sleeping. Hopefully no mistake this time around.
Cam
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