Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

Sign inSign in with Facebook
Sign inSign in with Google

Logic Quiz: Challenge Your Reasoning with Quick Puzzles

Quick, free logical quiz to test your reasoning. Instant results.

Editorial: Review CompletedCreated By: Brandy SummersUpdated Aug 26, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration for a free logic quiz on a dark blue background

This logic quiz helps you practice clear reasoning with quick puzzles and patterns. Get instant results, spot gaps fast, and pick up simple tactics as you go. When you're done, try the inductive and deductive reasoning quiz, build skills with mathematical reasoning practice, or check your approach with a problem solving test.

If all swans are birds and all birds have feathers, what must be true about swans?
No swans are birds
All swans have feathers
Some birds are not animals
Some swans do not have feathers
undefined
Statement: If it is raining, then the ground is wet. It is not raining. Therefore, the ground is not wet.
False
True
undefined
A statement that is always true regardless of truth values of its components is called what?
Tautology
Contingency
Contradiction
Paradox
undefined
Statement: The conjunction P and Q is true if and only if both P and Q are true.
True
False
undefined
If exactly one of P or Q is true, which connective describes this?
Biconditional
Conjunction
Inclusive or
Exclusive or (XOR)
undefined
Statement: The biconditional P <-> Q is true exactly when P and Q have the same truth value.
False
True
undefined
Which form is logically equivalent to the contrapositive of P -> Q?
not P -> not Q
P <-> Q
not Q -> not P
Q -> P
undefined
Which is the correct negation of the statement: All cats purr?
All cats do not purr
There exists a cat that does not purr
Some animals do not purr
No cats purr
undefined
Statement: The inverse of P -> Q is not P -> not Q.
False
True
undefined
Which argument form is invalid?
Hypothetical syllogism
Affirming the consequent
Modus tollens
Modus ponens
undefined
Which of the following is the correct De Morgan law for not (P and Q)?
not P <-> not Q
P or Q
not P or not Q
not P and not Q
undefined
In a Knights and Knaves puzzle, Knights always tell the truth and Knaves always lie. If A says: B is a Knave, and B says: A is a Knave, what are A and B?
A is a Knight, B is a Knave
A is a Knave, B is a Knight
Both are Knights
Both are Knaves
undefined
What is the correct negation of: There exists an x such that P(x)?
Not exists x such that P(x) and not P(x)
For all x, P(x)
For all x, not P(x)
There exists an x such that not P(x)
undefined
Which fallacy is committed: If we do not increase the budget, crime will rise; if crime rises, society will collapse; therefore, if we do not increase the budget, society will collapse.
Straw man
Equivocation
No fallacy; valid chain reasoning
Affirming the consequent
undefined
In terms of sets, A xor B (exclusive or) equals which expression?
(A \ B) union (B \ A)
Universal set \ (A union B)
A intersect B
A union B
undefined
A logic grid puzzle has 3 people, 3 pets, and 3 colors. If Alice does not own the cat, and the cat's owner likes blue, which simple inference is valid?
The cat's owner does not like blue
Alice does not like blue
Alice likes blue
Alice owns the cat
undefined
What does the principle of explosion (ex falso quodlibet) state?
From a contingency, only its negation follows
From a paradox, truth is undefined
From a tautology, nothing follows
From a contradiction, any proposition follows
undefined
Three boxes: BB has two black balls, WW two white, BW one black one white. Labels are all wrong. You draw one ball from the box labeled BW and it is black. Which is the correct relabeling?
Box labeled BW is BB; box labeled BB is WW; box labeled WW is BW
Box labeled BW is WW; box labeled BB is BW; box labeled WW is BB
Box labeled BW is WW; box labeled BB is BB; box labeled WW is BW
Box labeled BW is BB; box labeled BB is BW; box labeled WW is WW
undefined
Suppose P, Q, R are propositions with exactly one true. Which is equivalent to this condition?
P or Q or R
P and Q and R
(P xor Q xor R) and not (at least two are true)
Exactly two are true
undefined
A 3x3 Latin square uses symbols A, B, C so each appears once in each row and column. If row1 is A B C and column1 is A B C from top to bottom, what must row2 start with?
A
C
B
Any symbol
undefined
0

Study Outcomes

  1. Understand logic principles -

    Grasp key concepts behind logic quizzes and questions of logic to build a solid foundation for solving puzzles.

  2. Analyze logic puzzles -

    Break down complex logic quiz challenges into manageable steps by identifying patterns and relationships.

  3. Apply deductive reasoning -

    Use strategic reasoning techniques to answer logic questions accurately and efficiently.

  4. Evaluate solution strategies -

    Assess your approaches to logic and answer logic questions to ensure accuracy and improve performance.

  5. Enhance critical thinking -

    Sharpen your mind through free logic quizzes that promote creative problem-solving and mental agility.

  6. Develop problem-solving resilience -

    Build confidence in tackling tricky questions of logic by practicing diverse logic challenges.

Cheat Sheet

  1. Deductive vs. Inductive Reasoning -

    Understanding the difference between deductive and inductive reasoning is crucial when tackling a logic quiz. Deductive reasoning uses general premises to guarantee specific conclusions (e.g., "All mammals breathe; whales are mammals; therefore, whales breathe"), while inductive reasoning draws probable generalizations from specific observations. Mastering both styles, as outlined in Stanford's logic curriculum, helps you answer logic questions with precision.

  2. Key Logical Fallacies -

    Being able to spot common fallacies - like affirming the consequent or straw man arguments - will boost your success on questions of logic. Use the mnemonic "A CAST" (Ad Hominem, Circular, Appeal to Authority, Straw Man, Tu Quoque) to quickly recognize pitfalls and avoid invalid conclusions. Familiarity with these mistakes, emphasized by MIT's philosophy department, makes logic quizzes more approachable.

  3. Truth Tables and Boolean Operators -

    Constructing truth tables for operators (AND, OR, NOT, implication) clarifies the outcome of complex statements in logic and answer scenarios. For example, listing all TT, TF, FT, FF combinations helps you see why p→q is only false when p is true and q is false. This systematic approach is recommended by the University of California's logic labs and will sharpen your problem-solving toolkit.

  4. Symbolic Logic Notation -

    Familiarize yourself with symbols like ∀ (for all), ∃ (there exists), ¬ (not), ∧ (and), ∨ (or), and → (implies) to decode formal statements quickly. Practice translating English sentences into symbolic form and back again to reinforce your skills - e.g., "All birds can fly" becomes ∀x(Bird(x) → CanFly(x)). This method, taught widely in academic logic textbooks, lays a solid foundation for any logic quiz.

  5. Puzzle-Solving Strategies -

    Adopt systematic tactics like process of elimination, Venn diagrams, and truth-tree diagrams to break down complex puzzles. When you answer logic questions in timed quizzes, jotting quick diagrams or grids keeps information organized and reduces mistakes. Experts at Cambridge University recommend practicing these visual tools to build speed and confidence across all logic quizzes.

Powered by: Quiz Maker