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Outline Mathematics
Logic Problems

Robbery #4

Here's a problem to tackle:

 

Again, Abu, Ibn, and Hasib were on trial and it was known that one and only one of them was guilty. Abu claimed to be innocent; Ibn agreed that Abu was innocent; and Hasib claimed that he himself was the guilty one. As it turned out, the guilty one lied. Which one was guilty?

Solution


Copyright © 1996-2010 Alexander Bogomolny

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solution

 

Again, Abu, Ibn, and Hasib were on trial and it was known that one and only one of them was guilty. Abu claimed to be innocent; Ibn agreed that Abu was innocent; and Hasib claimed that he himself was the guilty one. As it turned out, the guilty one lied. Which one was guilty?

(In the applet below, click on the underlined omitted expressions. See what happens.)

// formulations

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.


Do not forget to check your solution.

References

  1. R. Smullyan, The Riddle of Scheherazade, Alfred A. Knopf, 1997

Copyright © 1996-2010 Alexander Bogomolny

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