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Puzzles that focus on getting information from truth-tellers (who never lie), liars (who always lie), and/or Jokers (who answer at random), or which use such characters as an integral part of the puzzle.
1
vote
Kill the jokers! - Part 1
Cooking this puzzle: In most puzzles jokers appear in, they can give any answer they want. In this puzzle, they can either tell the truth or lie. As such, you can exploit them with a variant of Curry' …
0
votes
The 10 Logicians
There's no need for 10 logicians in this puzzle. There's 5 identical pairs of logicians, so you can get the answer for all 10 of them just by considering two of them. In each pair, A claims that (B is …
1
vote
Choose the right door for golds
I came to the same conclusion as Neremanth, but via a more concise/elegant argument.
Step 1: which door leads to golds
Step 2: bad news
0
votes
Knights and Knaves
The same conclusion as the other answerers came to, but trying to be more explicit about all of the steps to get there:
Regarding Person A's statement:
Regarding person C's statement:
Regarding pers …
5
votes
Accepted
Two Truths and a Lie: a logic puzzle
First, regarding statement 2:
Next, regarding statement 1:
Finally, regarding statement 3:
1
vote
Accepted
Cursed Knights and Knaves
Ask this:
If you hear "Yes", then the one you asked is the cursed one. If you hear "No", then the one you didn't ask is the cursed one.
Original answer (invalidated by an edit to the question after t …
7
votes
7
votes
3
answers
602
views
Can you find and capture a shapeshifter?
A town was invaded by aliens, and some of its residents were kidnapped and replaced by shapeshifters. You're tasked with capturing one of the shapeshifters. Here's the setup:
There are 7 residents of …
7
votes
4
answers
693
views
Get the treasure from an island of knights and a joker
You've learned that there's treasure buried somewhere on a small island, but not exactly where. The island is a perfect circle with a radius of 25 meters. There are 15 islanders there, one of whom is …
30
votes
Accepted
An Infinitude of Deceptive Devourers
Answer:
Explanation:
Consider two possible cases.
Case 1 - the children used the "at least" convention:
Let's consider two subcases.
Case 1a - only a finite number of people ate cake
Case 1b - an in …