All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Logic
Crime Commitment Conclusion III (Posted on 2014-02-18) Difficulty: 2 of 5
A crime has been committed, but the police don't know what the crime is or who did it. There are three suspects (Al, Ben, and Cal), all with disreputable reputations.

Each of the suspects make one true and two false statements.

Al's statements:
1. I stole a car.
2. Ben is innocent.
3. Cal is a disreputable person.

Ben's statements:
1. I robbed a service station.
2. I stole a car.
3. Al is guilty.

Cal's statements:
1. I robbed a service station.
2. Ben's first statement is false.
3. Al is innocent.

From the above statements, determine what the crime was and who did it?

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution solution | Comment 2 of 3 |

It was Ben, who robbed a service station.

We know A3 is true, so A1 and A2 are false. Ben is not innocent.

Al is indeed innocent so C3 is true. That makes C2 false, so Ben's first statement is not false, but rather, true, so indeed Ben robbed the service station.

  Posted by Charlie on 2014-02-18 13:38:25
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (45)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information