Perplexing Logic Puzzles and Paradoxes

EluZions.com Puzzles Logic : Paradox • Books

Knaves and Knights

An island is inhabited by two classes of people: knights, who make only true statements, and knaves, who make only false statements. Three inhabitants are conversing. Alfred says, "All of us are knaves." Bert says, "Exactly one of us is a knight." What are Alfred, Bert, and Charles?

Answer

Fork in the Road

The Clinton Brothers (Bill and Ben) are identical twins. Ben is known to be totally truthful, and the other is a politician. You meet one of them at a fork in the road, and there's no sign to indicate which is the road to Washington (your destination). What single question can you ask the brother who is there, to discover the correct road? Assume that you don't know if it's Bill or Ben, and that politicians always lie...

Answer

The Portrait

Looking at a portrait, a man said "Brothers and sisters have I none, but that man's father is my father's son." Whose portrait is it?

Answer

False Statements

Which of the following statements is true?

1. Exactly one of these ten statements is false.
2. Exactly two of these ten statements are false.
3. Exactly three of these ten statements are false.
4. Exactly four of these ten statements are false.
5. Exactly five of these ten statements are false.
6. Exactly six of these ten statements are false.
7. Exactly seven of these ten statements are false.
8. Exactly eight of these ten statements are false.
9. Exactly nine of these ten statements are false.
10. Exactly ten of these ten statements are false.

Answer

What happens if you remove the word 'Exactly' from all the statements?

Answer

$29

Three people check into a hotel. They pay $30 to the manager and go to their room. The manager finds out that the room rate is $25 and gives $5 to the bellboy to return. On the way to the room the bellboy reasons that $5 would be difficult to share among three people so he pockets $2 and gives $1 to each person.

Now each person paid $10 and got back $1. So they paid $9 each, totalling $27. The bellboy has $2, totalling $29.

Where is the remaining dollar?

Answer

More...