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  4. →Truth-tellers and liars: consistent statements

Truth-tellers and liars: consistent statements

Step into classic truth-teller and liar logic where every statement must fit a consistent world. You’ll test whether sets of claims can all be true, all be false, or only work under specific roles. Ex...

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110 questions
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About this quiz

What you’ll solve

These puzzles focus on consistency: deciding whether a set of statements can all hold together given truth-tellers (always true) and liars (always false). You’ll practice translating language into logic and checking whether assumptions lead to contradictions.

Every question uses 4 options and there’s no timer, so you can slow down and verify each implication. Before you start, choose your preferred question count and difficulty to match a quick warm-up or a longer mixed challenge.

Skills you’ll practice

  • Identifying contradictions and “impossible” statement sets
  • Tracking who must be a truth-teller vs a liar from minimal clues
  • Handling nested statements like “A says that B lies”
  • Testing cases systematically without losing track of assumptions
  • Spotting hidden quantifiers (always/never/at least one/exactly one)

Common pitfalls (and how to avoid them)

Many wrong answers come from flipping only part of a liar’s statement instead of negating the whole claim. Another frequent trap is assuming roles too early—try a case split, push it until it contradicts, then switch.

Difficulty balance

Mixed difficulty means you’ll see straightforward one-step consistency checks alongside denser multi-person scenarios. The progression is balanced so easier items build confidence, while tougher questions reward careful bookkeeping and clean logic.

Sample questions

If a person always tells the truth, what kind of statements do they make?

  • A.Truthful statements
  • B.False statements
  • C.Inconsistent statements
  • D.Ambiguous statements

In a group of two people, if one says 'I am a liar', what can you conclude?

  • A.At least one is lying
  • B.Both are truthful
  • C.Both are liars
  • D.Neither can be lying

If a person claims, 'I always lie', what can be inferred?

  • A.They are either a liar or inconsistent
  • B.They always tell the truth
  • C.They are a truth-teller
  • D.They are a consistent liar

Quiz FAQ

How many questions are in this quiz?

This quiz has 110 questions focused on consistent statements in truth-teller and liar puzzles.

What is the format of the questions?

Each question is multiple-choice with 4 options, and there is no timer.

Is the difficulty suitable for beginners?

Yes. The difficulty is mixed, so you’ll get both accessible starters and more challenging consistency checks.

How do I choose the number of questions and difficulty?

Use the start panel settings to select your question count and preferred difficulty before beginning.

What’s the most common mistake in these puzzles?

Negating only part of a liar’s statement is a common error; treat the entire statement as false and negate it carefully.

Play this quiz in another language(7)

sk
Pravdomluvci a klamári: konzistentné výrokySlovenčina
cs
Pravdomluvní a lháři: konzistentní výrokyČeština
de
Wahrheitsverkünder und Lügner: konsistente AussagenDeutsch
es
Verdaderos y mentirosos: declaraciones consistentesEspañol
pl
Prawdomówni i kłamcy: spójne stwierdzeniaPolski
hu
Igazmondók és hazugok: következetes állításokMagyar

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