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These problems are from a very large set of questions about Liars who always lie about everything, and Knights who always tell the truth. Some questions also involve Knaves - people who strictly alternate between lying and telling the truth. (They are of course all indistinguishable from one another by outward appearance, and you must use logic to determine who's who.)
Difficulty: 2 of 5 Latest: Candy lover
Five children — Ivan, Sylvia, Ernie, Dennis, and Linda — entered a candy store, and one of them stole a box of candy from the shelf.
Afterward each child made three statements:

Ivan:
1. I didn’t take the box of candy.
2. I have never stolen anything.
3. Dennis did it.

Sylvia:
4. I didn’t take the box of candy.
5. I’m rich and I can buy my own candy.
6. Linda knows who the crook is.

Ernie:
7. I didn’t take the box of candy.
8. I didn’t know Linda until this year.
9. Dennis did it.

Dennis:
10. I didn’t take the box of candy.
11. Linda did it.
12. Ivan is lying when he says I stole the candy.

Linda:
13. I didn’t take the box of candy.
14. Sylvia is guilty.
15. Ernie can vouch for me, because he has known me
since I was a baby eight years ago.

If each child made two true and one false statement, who stole the candy?

(No Solution Yet, 3 Comments) Submitted on 2017-06-12 by Ady TZIDON   
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