# All Questions

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### Confused about step 5 of official Rubik's 3x3 Cube solution

Solution guide: http://rubiks.com/uploads/general_content/Rubiks_cube_3x3_solution-en.pdf I can get to this point pretty reliably now, but when I try the method shown I'm just as likely to go from ...
1k views

### Unknown Consecutive Integers Puzzle

Two people, Anne and Bob, each hold an index card. A positive integer is printed on each index card, and these integers are consecutive (i.e. Anne's card may display 8 and Bob's card 7). Anne and Bob ...
3k views

### The Monty Hall problem

I'm amazed that, although well known, this problem hasn't been posted yet. Monty Hall You are on a game show. The host of the show shows you three doors. He tells you that behind one of them, is a ...
2k views

### Three 50/50 guesses

Three friends enter a quiz-show as a team, the final round of the show is all or nothing, they only get their prize if they can win this round. Three boxes labelled 1, 2 and 3 are placed in a room, ...
5k views

### The lake monster

You are on a rowboat in the middle of a large, perfectly circular lake. On the perimeter of the lake is a monster who wants to eat you, but fortunately, he can't swim. He can run (along the perimeter)...
542 views

496 views

### Your age and my age [closed]

This is not a very difficult problem, but it seems that it hasn't been asked here. It's one of my favorites, so here we go: I am twice as old as you were when I was as old as you are. When you ...
698 views

### First number, which can not be defined

What is the appropriate answer to this question? What is the first natural number, which can not be defined with less than 15 words? Explanations: 1. Natural means integers greater than 0. ...
4k views

### First odd number in a “number dictionary”

All numbers between 1 and 1010 are written out and ordered alphabetically into a dictionary (as the only entries). Spaces and hyphens are removed. 1024 would then be "onethousandtwentyfour". Also, "...
505 views

### Magic back yards

My back yard forms a rectangular grid of squares except some of the squares are missing as they are covered by pipes or a small tree. The layout is as follows. A 'x' indicates a square that is free ...
2k views

### Miss Danner and the Elmer Boys

Miss Danner, a primary school teacher, is on her way to school - it's the first day of school this year. In class, she sees two identically looking boys sitting in the first row. Aw, twins, so cute!...
125k views

### Four prisoners wearing black and white hats

There are four prisoners. All four prisoners will be freed, if at least one of them correctly guesses the color of the hat on his head. They can't speak to each other, and they can't touch each other....
321 views

### What factors affect the difficulty of Hamiltonian puzzles?

There is a type of puzzle which can be modelled as finding a Hamiltonian path through a graph. One example is the Icosian game. What factors affect the difficulty of such puzzles, to be solved by ...
9k views

### Coin weighing problem

You are given ten stacks of golden coins, each stack consisting of ten coins and a digital scale with arbitrary precision. You know that all stacks of coins are made from gold, weighing 10 grams per ...
259k views

### 6, the magic number

Here's a fun (albeit difficult) one: Make these equations true using arithmetic operations: ...