perplexus.info :: Logic : Not a clear cut

Not a clear cut (Posted on 2012-11-18)

I have slightly rephrased a problem found on the web (Steve Miller's page):

begin **

The police rounded up Jim, Bud and Sam yesterday, following the robbery of the local bank.
The three suspects made the following statements under intensive questioning:

• Jim: I'm innocent.
• Bud: I'm innocent.
• Sam: Bud is guilty.

If only one of these statements turns out to be true, who robbed the bank?

Communicated by G. Mejia.
**end

Apparently, there are several solutions.
Find them.

No Solution Yet Submitted by Ady TZIDON

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possible solutions | Comment 2 of 4 |

[1] A contradiction would occur if both Bud and Sam had lied, thus only one of the two had lied....

[2] If Sam told the truth (the others having lied), then either
(a) both Jim and Bud had robbed the bank, or
(b) all three suspects - Jim, Bud and Sam had robbed the bank.

[3] If Bud had told the truth (the others having lied), then either
(c) Jim alone had robbed the bank, or
(d) both Jim and Sam had robbed the bank.
Edited on November 18, 2012, 2:03 pm

Posted by Dej Mar on 2012-11-18 13:55:05

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