Who dunnit?
This one's a little bit different, but not too hard.
Blah, blah, a robber nicked something. Four suspects were interviewed (where have I heard this before?). Their statements were:
A: I wasn't in town at the time of the theft.
B: C is the culprit.
C: B's statement is false.
D: C's statement is true.
The robber's statement is false, the other statement are true. So, who dunnit?
Blah, blah, a robber nicked something. Four suspects were interviewed (where have I heard this before?). Their statements were:
A: I wasn't in town at the time of the theft.
B: C is the culprit.
C: B's statement is false.
D: C's statement is true.
The robber's statement is false, the other statement are true. So, who dunnit?
Labels: logic
posted by Chris at
5:15 PM
8 Comments:
are you happy Chris...you finally made B "The Robber".
now go get some sleep.
I told everybody it was B. But would anybody listen? No! they wouldn't listen. I warned them, it was B, but did they take any notice? No! they didn't take any notice. They'll let B into their houses and then find all their posessions get stolen; maybe they'll listen then.
Now listen to this - it was B yet again. I rest my case.
I hadn't noticed it was B until Knightmare pointed it out.
B.... for Butler. The Butler did it... Obvious.
B. because if his is false D's is true
Hi Amonymous. But what iaf A, B or C's statement is true? You must check all cases. But you're right, it is B, the Bounder.
Who Dunnit ?
Given only robbers statement is false
Assume A did it
!A: I was in town
B:C is the culprit (conflict, A is invalid)
Assume B did it:
A:not in town
!B: C isn't cuplrit
C: B is lying
D: C is truthful in that B is lying
Valid solution
Assume C did it:
A: not in town
B: C did it
!C: B is telling truth that I did it
D: C was telling truth that B was lying about him doing it (conflict,C is invalid)
Assume D did it:
A: not in town
B: C did it
C: B is lying when he said I did it (conflict, D is invalid)
Answer:
Only B could have done it.
Cam
I'm pretty sure there isn't another answer.
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