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Questions tagged [logical-deduction]

A puzzle that requires formal logical deduction to arrive at the solution. This suggests more than merely reasoning through clues to find an answer (you might want [situation] for that).

11 votes
3 answers
786 views

The Royal Relay on a Chessfield

Playable Version In the ancient Kingdom of Gridoria, a mysterious curse has frozen the entire realm: every citizen, every castle, every mountain. The royal court's only hope lies in a sacred Relay ...
Oray's user avatar
  • 32.5k
10 votes
2 answers
939 views

Shortest tour from a Bishopawn

A Bishopawn is here defined as a Bishop that can also advance one square, just like a Pawn. That means the Bishopawn can change its square color and visit all the squares! What is the minimum number ...
JKHA's user avatar
  • 7,820
1 vote
1 answer
171 views

What is the next cell in this sudoku?

This is the NYT hard puzzle of the day on 14 July 2025 What am I missing? ...
Google User's user avatar
0 votes
0 answers
135 views

That's not a Puzzle @JKHA!

You are forbidden to comment: that's not a puzzle @JKHA! And all the tags are wrong! Otherwise, I will answer: 13th of July 2025 A B C D E. Puzzle Explain why the tags are correct.
JKHA's user avatar
  • 7,820
3 votes
2 answers
109 views

Use numbers one through six in groups of three so that each number is used twice [closed]

Use the numbers one through six in groups of three so each number is used twice
Thaddeus's user avatar
8 votes
2 answers
437 views

A Simon Tatham's Loopy (aka Slitherlink) puzzle

While playing Loopy in Simon Tatham's collection, I came across a very difficult one. I can generally solve 10x10 Hard puzzles in a few minutes, but I was stuck on this one for a long while. ...
ApexPolenta's user avatar
  • 4,519
2 votes
1 answer
247 views

brilliant.org puzzle: S's hat color

Okay, one more question from the same website brilliant.org, but this time I am in the '100 Days of Puzzles' section (Again, free user here. As I have completed all the questions in this section, I ...
Hector Lai's user avatar
5 votes
2 answers
268 views

Is Statement #1 True or False?

I am doing this logic question from brilliant.org in "Strategy Puzzles" section (I am out of keys right now because I am a free user). Originally, I intended to upload this question on MSE, ...
Hector Lai's user avatar
4 votes
1 answer
383 views

5 Elders Guess Hat Colour, part II: after passing the bottle around

This is followup for problem 5 Elders Guess Hat Colour: Five elders are sitting around a large bonfire. They know that Oluf will put a hat of one of four colours (red, green, blue or yellow) on each ...
Alexey Birukov's user avatar
1 vote
1 answer
193 views

Missing Game Archive 2 - What was the pattern?

This puzzle is one of the Missing Game Archive Series, which is my first PSE series. This series is about guessing the missing pieces in the game archive. Have fun! « Previous Puzzle: Missing Game ...
RDK's user avatar
  • 3,323
4 votes
2 answers
309 views

Missing Game Archive 1 - What was the number?

This puzzle is one of the Missing Game Archive Series, which is my first PSE series. This series is about guessing the missing pieces in the game archive. Have fun! » Next puzzle: Missing Game ...
RDK's user avatar
  • 3,323
6 votes
1 answer
1k views

Which one is the laziest?

Five beggars are on a street corner. A rich man comes and announces: $100 for the laziest of you. Three of them jump up and start arguing who is the laziest. One is on his back. Eventually says ...
Maj. Knut 3rd Baron Cockwomble's user avatar
3 votes
0 answers
218 views

Are block based puzzle games NP hard? [closed]

I’ve become interested in puzzle games that combine traditional Sokoban mechanics (box pushing) with shortest-path optimization—specifically puzzles where your objective isn’t merely to reach a goal ...
K2xL's user avatar
  • 131
1 vote
2 answers
420 views

Fifteen boxes of three sizes and five colors

Logical Reasoning Aptitude Test (Moscow)(1986) (Krasnogorsk Local Students Meet) There are 15 boxes of three different sizes – large, small and medium and of five different colors – red, white, black, ...
Thomas Finley's user avatar
6 votes
1 answer
709 views

Creating the hardest 6x6 maze w/ 9 walls

We had a previously great puzzle called "Creating the hardest 6x6 puzzle". My question is: What is the longest forced tour if we are limited to using exactly 9 walls? The Puzzle Basic Rules: ...
Oray's user avatar
  • 32.5k

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