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Who stole the candy bar? (Posted on 2005-02-03) Difficulty: 3 of 5

During lunch hour at school, a group of five boys from Miss Jones' home room visited a nearby lunch wagon. One of the five boys took a candy bar without paying for it. When the boys were questioned by the school principal, they made the following statements in respective order:

1. Rex: "Neither Earl nor I did it."

2. Jack: "It was Rex or Abe."

3. Abe: "Both Rex and Jack are liars."

4. Dan: "Abe's statement is not true; one of them is lying and the other is speaking the truth."

5. Earl: "What Dan said is wrong."

When Miss Jones was consulted, she said, "Three of these boys are knights, but two are liars." Assuming that Miss Jones is correct, can you determine who took the candy bar?

See The Solution Submitted by Jane Doe    
Rating: 3.0000 (5 votes)

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Solution solution | Comment 19 of 38 |

If Abe is a knight then Rex and Jack are liars and Dan and Earl are knights but this can’t be so because Earl accuses Dan of lying. Therefore Abe is a liar.

The other liar must be Dan or Earl as they contradict each other. Therefore Rex and Jack are both Knights

Dan says that one of Rex and Jack are liars which isn't possible therefore Dan is the 2nd liar.

Jack says Rex or Abe did it, Rex said he didn’t do it therefore Abe took the candy bar.

Knights: Rex, Jack and Earl
Liars: Abe and Dan


  Posted by Lisa on 2005-05-09 10:43:51
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