Most Popular

1500 questions
25
votes
2 answers

Who killed Professor Cal?

Professor Cal was found murdered in his office. Luckily, security had been keeping tight track of all who entered and exited the building during the day, and were able to determine that the suspects are Gerry, Julie, Jason, Nicky, and Sophy. …
Aggie Kidd
  • 11,681
  • 6
  • 40
  • 101
25
votes
4 answers

Which is larger? $\sqrt{15} - \sqrt{7} + \sqrt{5} + \sqrt{2}$ versus $5$

Which side is larger? $$ \sqrt{15} - \sqrt{7} + \sqrt{5} + \sqrt{2} \stackrel{?}{\lessgtr} 5 $$ Without using a calculator, computer, or estimating square roots, please determine which side has the larger value. Rules of the game: In this…
Olive Stemforn
  • 1,788
  • 12
  • 26
25
votes
2 answers

Rooks on a 15x15 chessboard

On a 15x15 chessboard there are 15 rooks that do not attack each other (via ordinary rook moves). Then each of the rooks makes one move like that of a knight. Is it possible that after all this is done, the 15 rooks still do not attack each other…
D.A.G.
  • 2,366
  • 12
  • 41
25
votes
9 answers

Computer riddle: I treat vars like D

Little 'bout my age: far from that of B Yet in my syntax, you will find some C The way I treat vars, that is much like D I do take objects, but I'm not like E If it starts with F, you'll know it's not me Now I challenge you, just what could I be I…
busukxuan
  • 1,115
  • 7
  • 12
25
votes
2 answers

Desegregate the Knights

You are given a 3 by 3 chessboard with a knight on each corner, where the knights in the top row are black and in the bottom row are white. On each turn, you may move a knight of either color (the way it moves in chess) to an unoccupied square. Is…
Mike Earnest
  • 32,336
  • 6
  • 92
  • 237
25
votes
3 answers

In the iterated Prisoner's Dilemma, how would a change in the payoff matrix affect strategy?

Quick summary of the Prisoner's Dilemma: Two criminals are charged with a crime. Each is given an opportunity by the police to confess. If they both stay silent, they don't have enough evidence to convict for much, and they both get 1 year in…
durron597
  • 2,374
  • 2
  • 20
  • 29
25
votes
3 answers

Rainbow Road Rabbit Hole

Question: Who is in first place? It's difficult to add hints in the puzzle itself given its nature so I'll try to add some notes here as text instead. Red: [Solved] Orange: [Solved] Yellow: K1
Engineer Toast
  • 17,506
  • 1
  • 49
  • 152
25
votes
1 answer

Four is Cosmic!

This is a little puzzle I heard a while back from one of my mathematically inclined friends- I get the sense that it's bounced around a little, so forgive me if you've heard it. There is a sort of function that, given any positive whole number, will…
Patrick N
  • 1,790
  • 11
  • 23
25
votes
5 answers

How much red sand and how much blue sand?

This is a puzzle I remember arguing with my sister about when we were little... (Not quite as loud (or as public!) as the Monty Hall argument we had.) You have two large beakers of the same size. Beaker A is half filled with blue sand. Beaker B is…
Ali
  • 698
  • 6
  • 12
25
votes
1 answer

Create a Word Search

Create a word search with the following conditions: Use the eleven words below. They can be spelled up, down, left, right, or any of the 4 diagonal directions. ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE TEN The size…
JLee
  • 18,202
  • 2
  • 55
  • 172
25
votes
1 answer

Six-words (------) Six-words (||||||)

Six-words: My first is what a bouncer does if they think you're cool enough My second is what my fourth does to your pain My third is your surroundings on a grassy hill in summer My fourth is taken to do my second to your pain My fifth…
Engineer Toast
  • 17,506
  • 1
  • 49
  • 152
25
votes
13 answers

3 Planks, 1 nail

John and Bob were doing some home construction and decided to take a beer break. Before grabbing a seat John pulls out 3 planks of wood, 1 nail and a hammer. John makes a bet with Bob saying I'll bet you a beer you can't make a triangle given just…
Mark N
  • 5,868
  • 22
  • 60
25
votes
4 answers

Am I a sailor or a bunny?

When I am blue, you can drink me When I am red, I'll disappear I have serenity and cleverness But I become a wolf if you double me I have only 12 friends But I haven't seen them in a while Who am I?
A.D.
  • 4,341
  • 1
  • 20
  • 38
25
votes
4 answers

King Octopus and Servants Puzzle

Puzzle: King Octopus has servants with six, seven, or eight legs. The servants with seven legs always lie, but the servants with either six or eight legs always say the truth. One day, 4 servants met: The blue one says: “Altogether we have 28…
25
votes
4 answers

What screams from the ears and listens from the mouth?

I have ears but failed to listen I have mouth but failed to scream but good thing! I have ears to scream I have mouth to listen
Dyrandz Famador
  • 811
  • 6
  • 13