## Outline Mathematics

Logic Problems

# Robbery #2

Here's a problem to tackle:

Abdul's shop was robbed once more, but the loot was recovered. Again, there were three suspects; their names were Abu, Ibn, and Hasib. At the trial, they made the following statements:

- Abu: I did not commit the robbery!
- Ibn: Hasib certainly didn't!
- Hasib: Yes, I did!

Later on, two of them confessed to having lied. Who committed the robbery?

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Copyright © 1996-2018 Alexander Bogomolny

### Solution

Abdul's shop was robbed once more, but the loot was recovered. Again, there were three suspects; their names were Abu, Ibn, and Hasib. At the trial, they made the following statements:

- Abu: I did not commit the robbery!
- Ibn: Hasib certainly didn't!
- Hasib: Yes, I did!

Later on, two of them confessed to having lied. Who committed the robbery?

Since Ibn and Hasib,Abu,Hasib,Peter the Great contradict each other, one of them lied and the other told the truth,lied,told the truth. But since two,one,two,three,all of them lied, then Abu,Abu,Ibn,Hasib must be one of them. But he claims innocence. Hence Abu is guilty,innocent,guilty,more than 200 lb.

Do not forget to check your solution.

### References

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

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Copyright © 1996-2018 Alexander Bogomolny