Arthur and Robert are identical twins. One is a knave and he always lies. The other is a knight and always tells the truth, but you don’t know which one is which.
One day you meet one of them and want to find out whether it’s Arthur or Robert. But you can ask only one yes/no question, and the qu...
This morning when I got up I found a peculiar letter in my mailbox. I think it is probably some local person who has gone on a trip and has decided to tell the whole town about it. However, some parts of it seem garbled, and pretty much the only parts of it written with normal words seem uninform...
A new casino has opened up in the town which has only one game. Now, we all know the house has an edge in casino.
For this game house has win probability of 60%, and player has win probability of 40%.
The cost of each bet is \$1. If player loses, he loses the bet and if the player wins, he gets \...
An icosahedron has 20 faces which are equilateral triangles.
Tom wants to create a very hard mechanical puzzle. With his brand new 3D printer in mind he designs 20 puzzle pieces with identical shapes which in principle nicely fit together to build the icosahedron:
The visible face of the assembl...
A simple geometric math puzzle (too simple for MO). Seeing two overlapping square beermats, I had the idea: One mat is the other rotated by an angle. All colored areas are the same (say 1, arbitrary unit). What is the size of the square and the rotation angle?
Bonus if you can solve it in your he...
The Sudoku below has difficulty approx 4/10, so it's supposed to be quite simple.
However, I'm stomped.
Can someone give me some tips here? I'm not looking for the solution, only strategies for how I can solve this as easily as possible.
I can of course do a manual brute force by hand, but I'm h...
The Reds, the Grays, the Blues, and the Blacks have a round-robin tournament. Each team plays each other team once, for a total of six games.
The Blacks won more games than the Blues.
The Grays lost more games than the Blues.
The Reds tied the Blacks. (This was the only tie in the tournament.)
Wh...
Please solve this for me. Thanks
Can you decrypt this secret message?
Here is a visual puzzle I have created.
Pick the 2 images that correspond to the question marks below (the order of your choices matter).
Hi I have a puzzle in form of a letter I was looking for someone who’s good with puzzles and enjoy doing them. If there is someone who feels interested send me a DM, I’ll pay a little amount to the person that crack the code for me
I am placing dominoes on a $16\times 14$ grid. Dominoes must be either horizontally or vertically. Each domino must cover $2$ small squares. What is the minimum number of dominoes that can be placed so that no more dominoes can be placed?
