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 I don't know. (Posted on 2006-02-16)
ou are a logician in training for the police, and the time has come to take the certification test. The police chief brings you the test one morning, and says, "I must warn you, this is your only chance at the certification test; If you fail, you must keep training for another year before you can take it again."

- Five suspects were interrogated for a bank robbery.

- Each suspect was either a knight, a knave, or a liar.

- Knights always tell the truth.

- Liars always lie.

- Knaves strictly alternate truths and lies with each statement.

- Police have evidence that suggests the perpetrator acted alone.

- Police have evidence that suggests the perpetrator acted alone.

>During the interrogation, two questions were asked (consecutively) of each of the five suspects. Each suspect heard the other suspects' responses, and none of them made a statement between his or her two answers. Here are the two questions and their responses.

"Did you rob the bank?"
A: No.
B: No.
C: No.
D: Yes.
E: Yes.

"Who robbed the bank?"
A: E.
B: A.
C: l don't know.
D: E.
E: A.

The interrogators mentioned that something about their statements didn't seem quite right. The police chief adds, "The only hints I can give you are that C is not a knight and that there is only one correct answer. I'll be back in 24 hours to ask you who robbed the bank."

 No Solution Yet Submitted by Dustin Rating: 3.4286 (7 votes)

 Subject Author Date Solution Dej Mar 2006-05-08 11:26:52 re: Another change in Problem text? Sami Jouppila 2006-03-12 16:50:42 Another change in Problem text? Kenny M 2006-03-12 14:05:24 re(3): Solution using correct version of the puzzle tomarken 2006-03-08 22:15:23 re(2): Solution using correct version of the puzzle Avin 2006-03-08 12:29:27 re: Solution using correct version of the puzzle Highway6 2006-03-08 10:56:42 Solution using correct version of the puzzle Avin 2006-03-08 10:24:47 No Subject Dustin 2006-03-07 16:09:40 random and probably pointless thoughts. Highway6 2006-03-07 15:08:18 tying together two of the several loose ends. Cory Taylor 2006-03-07 10:54:00 maybe "I dont know" Highway6 2006-03-06 16:47:46 re: Possible - with inspiration from others... tomarken 2006-03-02 19:20:13 Possible - with inspiration from others... Kenny M 2006-03-02 18:15:17 re: A different approach and solution Cory Taylor 2006-03-01 16:51:24 A different approach and solution tomarken 2006-03-01 11:03:29 solution salil 2006-02-26 01:26:15 solution imakolata 2006-02-22 05:39:41 Compilation of oddities in this problem: Avin 2006-02-21 15:20:48 re: Reply to AvalonXQ Penny 2006-02-19 16:22:24 re: Solution SeaCalMaster 2006-02-19 12:30:26 Solution salil 2006-02-19 10:23:40 re(2): A potential answer AvalonXQ 2006-02-19 02:18:46 Three things... Eric 2006-02-18 21:41:35 re: A potential answer SeaCalMaster 2006-02-18 19:18:13 A potential answer AvalonXQ 2006-02-18 18:52:13 No Subject AvalonXQ 2006-02-18 18:46:24 re: C's Answer SeaCalMaster 2006-02-18 12:54:50 C's Answer Vernon Lewis 2006-02-18 08:59:03 Words are all important Kenny M 2006-02-17 21:05:19 re(5): Insoluble Penny 2006-02-17 19:52:56 re(4): Insoluble Penny 2006-02-17 19:42:01 re: Solution Justin 2006-02-17 19:32:22 Another tack.. Kenny M 2006-02-17 17:40:09 re(4): Insoluble AvalonXQ 2006-02-17 17:10:22 re(3): Insoluble AvalonXQ 2006-02-17 17:07:28 re(2): Insoluble Penny 2006-02-17 13:41:52 re: I do know Vernon Lewis 2006-02-17 12:58:14 I do know Bob Smith 2006-02-17 12:41:34 re: I don't buy the Penny 2006-02-17 12:26:09 I don't buy the "lack of knowledge" solution... Avin 2006-02-17 11:12:27 re: Insoluble Penny 2006-02-17 08:24:30 Insoluble AvalonXQ 2006-02-17 04:23:59 Solution Penny 2006-02-16 23:33:03 Something strange... SeaCalMaster 2006-02-16 21:17:27 re: Possibly-maybe-perhaps...amended & appended Kenny M 2006-02-16 20:18:35 Possibly-maybe-perhaps... Kenny M 2006-02-16 19:51:34 re(2): Immediate Knowledge - rebuttle Cory Taylor 2006-02-16 18:29:46 Hmmmm - Very Intersting Vernon Lewis 2006-02-16 18:20:57 Solution Geoff 2006-02-16 17:01:28 re: Immediate Knowledge - rebuttle Leming 2006-02-16 16:13:59 Immediate Knowledge Cory Taylor 2006-02-16 15:37:49 Missing something. . . or am I? Leming 2006-02-16 14:40:49

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