Place 19 different positive integers on the vertices of this graph so that the 13 products of three numbers in a straight line are all equal. Do so in such a way that the product is as small as possible.

If you are given a transparent weirdly shaped bottle filled with water and a marker, can you tell if the bottle is exactly half filled or not?

This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles. If a word conforms to a special rule, I call it a Verified Word™. Use the following examples below to find the rule. $$ % set Title text. (spaces around the text ARE i...

This crossword is themed, and in fact, the theme is revealed in the unclued answer. Note that some of the clues won't make a lot of sense without knowledge of this theme, as I couldn't find much in the way of definitions outside of it. The wordplay should all be solid, however. Rock-and-rol...

Two witches make a nightly visit to an all-night coffee shop. Each arrives at a random time between 0:00 and 1:00. Each one of them stays for exactly 30 minutes. On any one given night, what is the probability that the witches will meet at the coffee shop? So two links below have provided concep...

In the book Real World Haskell, there's a non-programming-related puzzle in a footnote at the bottom of page 15, in the middle of a simple text-processing problem: ... Find or create a text file; let's call it quux.txt:* $ cat quux.txt Teignmouth, England Paris, France Ulm, Germany Auxe...

I have gotten into solving this kind of puzzle recently. I've found this one and after an hour of trying, I don't seem to be able to find a solution. I'm starting to think there might be an error and it isn't actually solvable. This is the site where you can "play" with the puzzle. https://tur...

Grandpa showed me a piece of paper with six different shapes: Three triangles (Right, Equilateral and Isosceles), A Kite, A Regular Pentagon and a Square. He says: "From the diagram below you can see three lines of shapes. On every line the two shapes on the right hand side are same as the two ...

This is a three-dimensional cryptic crossword. The eleven squares above represent the layers of a $11\times11\times11$ cube. Across 21. Tribunal's way to imprison you in the old days (10) 25. Sir Isaac, among others, finishing solution of constant viscosity (9) 27. Refusing to...

A boy says a question “ Will you answer “Do you like me ?” by ‘NO’ ? ” to a girl. What are some wisest answers/feedback to the question the girl can give/have?

My beginning is slang for a dollar. My middle can describe beer. My end is circular. What am I?

I eventually used a trial and error method to solve it: Assume B1 = 2 C2 and F1 = 4 C3 = 2 F3 = 6 There are no candidates left for A3 This let me set B1 = 4 and hence solve the puzzle. But is there a generic method I could have applied here to solve this?

This is a Heyacrazy puzzle. Rules of Heyacrazy: Shade some cells of the grid. Shaded cells cannot be orthogonally adjacent; unshaded cells must be orthogonally connected. When the puzzle is solved, you must not be able to draw a line segment that passes through two borders, and does n...

Abraham and Levi are two friends who like many of the same things, but sometimes their preferences can diverge. Given the examples below, determine what governs their curious differences of opinion. While Abraham enjoys DRAMA, only Levi likes THEATER. Abraham prefers ART, but Levi chooses TECHN...

I have been working on a Knapp Daneben Tapa, where each clue is wrong by exactly one unit. I have tried it a few times and keep running into the same problem. I think I am solving it deductively/not making any guesses, but I wind up with a clue not being satisfied. I am including the puzzle below...

The alphametic MANY + MANY = THANKS has no solutions in base 10. How many more "manys" must I add before it has a solution?