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Candy lover (Posted on 2017-06-12) Difficulty: 2 of 5
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:

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

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.

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

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

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 Submitted by Ady TZIDON    
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Solution solution | Comment 1 of 3
If Ivan did it, all three of his statements would be lies. Ivan didn't do it.

If Sylvia did it:
 Ivan's statement numbered 3 could be his lie.
 Sylvia's statement numbered 4 could be her lie.
 Ernie's statement numbered 9 could be his lie.
 Dennis' statement numbered 11 could be his lie.
 Linda's statement numbered 15 could be her lie.
These are consistent.

If Ernie did it:
 Ivan 3 could be his lie.
 Either Sylvia 5 or 6 could be her lie.
 Ernie would be making at least two lies: 7 and 9.
It can't be Ernie.

If Dennis did it:
 Dennis' 10 and 11 would both be lies.
Dennis didn't do it.

Likewise if Linda did it: 13 and 14 would both be lies.
Linda didn't do it.

Sylvia stole the candy.

  Posted by Charlie on 2017-06-12 13:56:57
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