Predicate Logic Quizzes , Questions & Answers

Predicate Statements Quizzes

Predicate Symbols, Arity, and Open Statements Quiz

Are you ready to get comfortable with predicate statements in formal logic? This quiz focuses on the basics of how predicates work and how they differ from full propositions. You&r...

Questions: 15 | Attempts: 78 | Last updated: Jan 27, 2026

Sample Question
Which of the following shows an application of a predicate symbol?

X + 2 = 5

P(x)

∀x P(x)

∃x Q(x)

Predicates Quiz: Understand Functions, Relations, and Logic Structure

Predicates let us talk about properties and relationships with precision. This predicates quiz helps you understand how statements involving variables work and how they build the f...

Questions: 20 | Attempts: 25 | Last updated: May 21, 2026

Sample Question
Which of the following is a predicate, not a proposition?

2+2=4

The Moon orbits Earth

X > 5

Today is Tuesday

Instantiating Predicates and Evaluating Truth Values Quiz

Want to see how predicates become real, truth-evaluable statements? In this quiz, you’ll practice instantiating predicates like P(x), Q(x, y), and S(x) with specific constant...

Questions: 15 | Attempts: 15 | Last updated: Jan 27, 2026

Sample Question
Which of the following is a predicate, not a proposition?

2 + 2 = 4

The Moon orbits Earth

X > 5

Today is Tuesday

All Predicate Statements Quizzes

Logical Quantifiers Quizzes

Quantifiers Fundamentals Logic Quiz – Undergraduate Predicate Logic Practice

Are you ready to get comfortable reading and writing statements with “for all” and “there exists”? This quiz focuses on the core ideas behind universal (&fo...

Questions: 15 | Attempts: 143 | Last updated: Jan 27, 2026

Sample Question
What symbol represents “for all”?

∃

∧

∀

→

Negating Quantifiers and Translating Quantified Statements Quiz

Think you can flip quantified statements correctly without getting tangled? This quiz trains you to negate universal and existential claims, and to express ideas like “some,&...

Questions: 15 | Attempts: 42 | Last updated: Jan 27, 2026

Sample Question
“¬∀x P(x)” is equivalent to:

∀x ¬P(x)

∃x ¬P(x)

∃x P(x)

¬∃x ¬P(x)

Quantifiers Quiz: Master Universal and Existential Reasoning

Universal and existential statements show up everywhere in math, and this quantifiers quiz helps you read them with confidence. You’ll practice interpreting claims that apply...

Questions: 20 | Attempts: 30 | Last updated: May 21, 2026

Sample Question
What is the correct negation of the statement “Every dog is friendly”?

Some dog is not friendly

No dog is friendly

Every dog is not friendly

Some dog is friendly

All Logical Quantifiers Quizzes

Universal Statements Quizzes

Negating and Translating Universal Statements Quiz

Ready to sharpen your intuition about “for all” statements? This quiz focuses on how universal claims are formed, how they’re negated, and how they connect to eve...

Questions: 15 | Attempts: 41 | Last updated: Jan 27, 2026

Sample Question
Which of the following is the negation of the statement "All chickens can fly"

Some chickens cannot fly

Chickens can swim

No chickens can fly

Chickens are mammals

Reasoning with Universal Quantifiers and Logical Inference Quiz

Want to see how universal statements power real logical reasoning? This quiz highlights how ∀x P(x) interacts with conditionals, conjunctions, and existence claims in proofs...

Questions: 15 | Attempts: 10 | Last updated: Jan 27, 2026

Sample Question
"All primes greater than 2 are odd" has form:

∀x(Prime(x) ∧ Odd(x))

∀x((Prime(x) ∧ x > 2) → Odd(x))

∃x(Prime(x) ∧ x>2 ∧ Odd(x))

∀x(Prime(x) → Odd(x))

Truth Conditions, Counterexamples, and Universal Claims Quiz

Think you know when a universal statement is really true? This quiz dives into the semantics of ∀x P(x): when it holds, when it fails, and how counterexamples work. You&rsqu...

Questions: 15 | Attempts: 10 | Last updated: Jan 27, 2026

Sample Question
∀x(P(x) → Q(x)) is true when:

Whenever P(x) is true, Q(x) is true

Some x satisfy P and Q

All x satisfy P and Q

No x satisfies P

All Universal Statements Quizzes

Existential Statements Quizzes

Existence Theorem Assessment Test

Existence theorems are mathematical theorems with a statement that begins with 'there exist(s)..'. It is a theorem with a prenex normal form involving the&nb...

Questions: 10 | Attempts: 154 | Last updated: Mar 20, 2025

Sample Question
Find the differential dy of the given function. y= 3x 2 - 4

40x dx

12x dx

6x dx

36x dx

Test your knowledge about Existence Theorems

Existence theorems regroup any mathematical or scientific statement beginning with "there exists...", or "for all x,y there exists...", etc. In other words, it ...

Questions: 10 | Attempts: 140 | Last updated: Mar 19, 2025

Sample Question
What is constructive mathematics?

It is the continuity of a function such as a sin x proven as a constructive bound on the modulus of continuity

It is the stagnation of a function such as a sin x proven as a constructive bound on the modulus of continuity

It is the improvement of a function such as a sin x proven as a constructive bound on the modulus of continuity

It is the continuity of a function such as a tan x proven as a constructive bound on the modulus of continuity

Existential Statements Quiz: Examine Existence Claims in Logic

Existence claims can open the door to some surprisingly deep ideas, and this existential statements quiz helps you get comfortable working with them. You’ll look at statement...

Questions: 20 | Attempts: 14 | Last updated: Dec 17, 2025

Sample Question
∃x(P(x) ∧ Q(x)) implies (∃x P(x)) ∧ (∃x Q(x)).

True

False

All Existential Statements Quizzes

Validity and Models Quizzes

2.2 The Logic Condition

Quiz yourself on the terms and concepts you learned in this section.

Questions: 5 | Attempts: 379 | Last updated: Oct 03, 2025

Sample Question
If an argument has false premises then it violates the Logic Condition.

True

False

Validity, Satisfiability, and Semantic Entailment Quiz

Are you ready to see how logical arguments really work “behind the scenes”? In this quiz, you’ll explore what it means for an argument to be valid in predicate lo...

Questions: 15 | Attempts: 23 | Last updated: Jan 28, 2026

Sample Question
When is an argument in predicate logic valid?

The conclusion is true in every model.

At least one premise is true in every model.

Whenever all premises are true in a model, the conclusion is also true in that model.

The premises are true in at least one model.

Validity and Models Quiz: Test Arguments Across Interpretations

Logical arguments rely on structure, not just clever wording, and this validity models quiz makes that idea come to life. You’ll explore arguments across different models to ...

Questions: 20 | Attempts: 12 | Last updated: May 21, 2026

Sample Question
In a domain with 3 elements, how many possible interpretations are there for a unary predicate P?

9

6

8

3

All Validity and Models Quizzes