Questions tagged [liars]

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.

The most common form of a puzzle with this tag focuses on getting information by asking questions to members of 2 or 3 of the following groups:

  1. Truth-tellers (or Knights), who always tell the truth.
  2. Liars (or Knaves), who always lie.
  3. Jokers, who answer at random.

The questioner doesn't know who they're asking — Knight, Knave or Joker — and often only yes/no-questions (or similarly restricted questions) are allowed. Restrictions on the number of questions asked are also common for these questions.

This tag can also be used for puzzles which have liars, truth-tellers, and/or jokers as an integral part. Some examples of this type:

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Which offer is better?

You are to make a statement. Of these two offers you have to choose one; which one is more profitable to you, and why? If the statement is true, you get exactly 10 dollars. If the statement is false, you get either less than or more than 10…
ABcDexter
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Who killed Jeremy?

Jeremy was killed. Peter claims that Tom is guilty. Tom says that Ralph is guilty. John swears he didn't kill Jeremy. Ralph says that Tom is lying. If only one person is telling the truth, then: Who killed Jeremy?
rudra
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Knight, Knave and Joker puzzle

Here is an excellent puzzle with 3 types of characters: You are lost in a town and meet 3 men. You somehow (God told you) know that they are Knight, Knave and Joker. Knight always tells truth, Knave always tells the opposite to the truth, Joker…
klm123
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Who led the mutiny?

You are were might still be a sea captain. On the 14th of December, 1214, your sailors rebelled. 6 sailors and your first mate get in a boat to row you to what they believe is an abandoned island. Before leaving to return to the ship, however,…
anonymous2
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Liar Puzzle with Stack Exchange Users

You are in a chatroom with three Stack Exchange users. They are a Spambot, a Trusted User, and a Moderator, but you don't know who is who; the chatroom only displays their names (user314, user2718, and user1618), not their reputations. You need to…
Mike Earnest
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Incoming enemy! Scout, dispatch!

You are the leader in a group of 9 scouts. There are rumors of an incoming enemy army and your unit was sent to investigate where they are coming from. You are aware that there are only 4 paths to your base. You must divide your members into…
stack reader
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Truths, Lies, and Xors

Rusty is a member of the highly secretive Logician's guild. After years of grueling trials, he is now finally allowed to meet the three leaders of the guild. Their names are Truman, Lyle and Xavier, and they have specific ways of answering yes/no…
Mike Earnest
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Solve the following knights and knaves problem

A says: “B is a knave.” B says: “A and C are of the same type.” Knights tell the truth and Knaves lie. What is C? (i.e. a knight, or a knave?)
sktsasus
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Convoluted Logic Puzzles 101 and 102

I need some help. I'm registered for two courses at the Louisiana Institute of Epistemology this semester, but the TA's are super hard to communicate with! Can you help figure out where my classes meet and get a passing grade in both? I'm looking…
Mike Earnest
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Knights and liars

An island is inhabited by both Liars and Knights. Knight always tells the truth and Liar always lies. One day 12 islanders gathered together and issued a few statements. 2 of the islanders said "Exactly 2 of us are liars". Another 4 said "Exactly 4…
Shirisha Bansal
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Liars of El Dorado

After a lifetime of searching, you have discovered the legendary city of El Dorado. You are approached by three inhabitants. You know from your research that these are the three highest ranking members of their society: the High Priest, who always…
Mike Earnest
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Classic two guards and two doors

I recently heard a version of the classic two guards (one is a knight who always tells the truth and the other is a knave who always lies) standing by two doors (one leads to certain death and the other to life) with a tiny twist that makes it much…
StrongBad
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The two neighbouring islands

A puzzle was asked in a mental ability test. Arstil and Byzinte are two neighbouring islands in a far-off corner of the world. The natives of Arstil (the Arstillians) and the natives of Byzinte (the Byzintians) sometimes visit each other's sland.…
ABcDexter
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Teenage Knight/Knave/Joker

You find yourself in the usual situation with three locals whose answering is highly restricted. First, they can only answer yes or no questions. Second, one will always answer truthfully, one will always lie (answer the opposite of the truth), and…
Kate Gregory
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Eye exam for the truth-teller, liar and joker

A, B and C went for a eye exam together for their driver licenses. All 3 of them have bad eye sight and needed their own glasses to see clearly. However only 1 of them remembers to bring the glasses. During the exam, they pass around this pair of…
Alex
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