perplexus.info :: Logic : Bank Robbery

Bank Robbery (Posted on 2003-01-29)

A cop arrested four suspects for the bank robbery. When he interviewed them, each made two statements. From his infrared lie-detector he knew that each man made one "true" and one "false" statement. As a result, he soon found out the culprit.

Given the following statements, can you determine who the culprit was?

‘A’ said: “I did not do it. B did.”

‘B’ said: “A did not do it. C did.”

‘C’ said: “B did not do it. I did.”

‘D’ said: “C did not do it. A did.”

Submitted by Ravi Raja

Rating: 2.5333 (15 votes)

Solution: (Hide)

D was the culprit.
Each man gave one ‘did’ and one ‘did not’ statement. So, if the ‘did’ statement is true, so must the ‘did not’ be true. But this is impossible, one of the two statements must be false in each case. Therefore each ‘did’ statement is false, and each ‘did not’ statement true.
This rules out A, B, C, leaving D as the culprit.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Bank robberies	JamesYawn	2024-04-19 05:58:15
Explanation to Puzzle Answer	K Sengupta	2022-05-22 22:29:56
Puzzle Answer	K Sengupta	2022-05-22 10:01:27
I got it! :)	Heartberry	2004-08-26 16:43:49
Solution	Lewis	2003-06-20 10:33:58
Simple Solution	Gamer	2003-03-08 07:41:34
Solution	ejaculoy	2003-02-13 04:44:24
Insufficient Evidence	matt	2003-02-03 11:22:47
Solution!!!	Shellie	2003-02-02 11:16:47
re: Solution?	Dalveer	2003-01-31 23:36:16
Solution	Dalveer	2003-01-31 23:32:14
Solution?	Michael	2003-01-31 04:27:44
CHECK THIS OUT	Harish	2003-01-30 00:24:29
No Subject	dave	2003-01-29 23:20:11
No Subject	Calvin Cahail	2003-01-29 12:14:52
solution	sarah	2003-01-29 07:17:39
I think I have the solution	nichole	2003-01-29 05:50:38
re: solution	TomM	2003-01-29 04:48:53
solution	Cory Taylor	2003-01-29 04:20:35
The solution	Matthew Darwin	2003-01-29 02:29:38

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