I am faced with three signs One is shared between us One is very small One is sold again What can I tell from these, and what does that make me?

My professor gave us this puzzle at the beginning of the semester but would not reveal the answer: There is only one question: How many boxes do you see? We were not given any other information and it has been bothering me for the past few months. Help will be appreciated. Thank you!

In an infinite grid of regular triangles, Niels and Henrik are playing a game they made up. Every other time, Niels picks a triangle and writes × in it, and every other time, Henrik picks a triangle where he writes a ◦. If one of the players gets four in a row in some direction (see figure), he ...

Nils has a telephone number with eight different digits. He has made 28 cards with statements of the type “The digit a occurs earlier than the digit b in my telephone number” – one for each pair of digits appearing in his number. How many cards can Nils show you without revealing his number

This question is inspired by this one. You and your opponent play Russian roulette with two bullets. Quoting from the linked question: You are challenged to a game of Russian roulette. Your opponent places two bullets side by side in a six chamber revolver and spins the chamber. She expla...

Here's a addictive and frustrating puzzle that will likely make you tear your hair out. Even I do not yet have a perfect solution, but due to the endless possibilities of the english language, I'm sure it can be done. Suppose we assign a value (in U.S. cents) to each letter of the alphabet. $A$ ...

Suppose you start with the number $102$ and, at each step, you are allowed to double the number, add the number's digits, multiply its digits, or add 1. Your goal is to go from $102$ to $201$ in as few steps as possible. Of course, you could add $1$ $99$ times, but... where's the fun in that? Her...

Suppose you had two stained-glass tiles in the shapes of polygons and you laid them on top of each other. Their overlapping area also forms a polygon, like the ones I have shown in the image: Notice how the blue squares overlap to form a triangle, the green triangles overlap to form a quadrilat...

There is a great magnificent wall to your east Look at wall There is a small gate in the wall. Open gate The gate is locked. Unlock gate The gate is still locked. Look You see a small key laying next to a weather beaten fisherman in a gray tunic leaning against a wall. The wall has a gat...

Ten million pies in a year Or so it seems to my ear. I'm around when you want more, But the smallest sliver is in store. I'm here if you want to fight. Silver is a lovely sight. I approve: I'm sure you agree. I'm quick, but can't win, you see? Who am I?