Since your teacher told you to try the Internet, I assume you are allowed our assistance.
- The Dudeney chess puzzle (but you don’t need to know how to play chess to solve it)
Two people have a perfectly constructed chessboard and an unlimited supply of pawns of exactly the same dimensions. The first person places a pawn on the board (not necessarily in the middle of a square - anywhere); the second replies. And so on till one player can’t fit another pawn on the board.
With perfect play, who wins?
Answer - the first player, provided he puts the first pawn in the exact geometric centre of the board, and then matches his opponent’s moves symmetrically.
- My logic puzzle
You are on campus (I’m translating into American, so excuse any foulups!) and there are two paths ahead. You know one leads to the student bar. There are two students facing you - one always lies, the other always tells the truth. One question to find the alcohol…
OK, this is an old one (but there’s more). You ask one student ‘which path would the other student say led to the bar?’ and take the opposite path. (If you can’t work out why, I hereby fail you!).
My question is:
You are on campus and there are two paths ahead. You know one leads to the student bar. There are three students facing you - one always lies, one varies randomly between truth and lying, the third always tells the truth. How many questions to find the alcohol?
Answer - one. ‘did you know they’re serving free beer at the bar?’ (then follow all three)