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Logical Equivalences

A visually appealing illustration depicting logical symbols such as ∧, ∨, ¬, and ↔ in a colorful, abstract design representing logical reasoning and critical thinking.

Logical Equivalences Quiz

Test your understanding of logical equivalences with this engaging quiz! Explore various logical statements and identify their equivalents to sharpen your reasoning skills.

Perfect for students and enthusiasts alike, this quiz will help you:

Enhance your logic skills
Prepare for exams
Understand core concepts in mathematics

10 Questions2 MinutesCreated by ThinkingTree451

Which option correctly identifies the logical equivalent of the statement "P ∧ (Q ∨ R)"?

(P ∧ Q) ∨ (P ∧ R)

P ∨ (Q ∧ R)

¬(P ∧ Q)

(P ∨ Q) ∧ (P ∨ R)

What is the logical equivalent of the statement "¬(P ∨ Q)"?

¬P ∨ ¬Q

¬P ∧ ¬Q

P ∨ Q

P ∧ Q

Which option correctly identifies the logical equivalent of the statement "P → Q"?

¬P → ¬Q

Q → P

P ↔ Q

¬Q → ¬P

What is the logical equivalent of the statement "¬(P ↔ Q)"?

(P → Q) ∧ (Q → P)

¬P ↔ ¬Q

P ↔ Q

¬P ∧ ¬Q

Which option correctly identifies the logical equivalent of the statement "P ∨ (Q ∧ R)"?

(P ∨ Q) ∧ (P ∨ R)

(P ∧ Q) ∨ (P ∧ R)

¬(P ∧ Q)

(P ∨ Q) ∨ (P ∨ R)

What is the logical equivalent of the statement "¬(P ∧ Q)"?

¬P ∨ ¬Q

¬P ∧ ¬Q

P ∨ Q

P ∧ Q

Which option correctly identifies the logical equivalent of the statement "P ↔ Q"?

¬P ↔ ¬Q

Q ↔ P

P → Q

¬Q ↔ ¬P

What is the logical equivalent of the statement "¬(P → Q)"?

P → Q

¬P → ¬Q

¬Q → ¬P

Q → P

Which option correctly identifies the logical equivalent of the statement "P ∨ (Q → R)"?

(P ∨ Q) → R

P ∨ (R → Q)

¬P ∨ (Q → R)

P ∧ (Q → R)

What is the logical equivalent of the statement "¬(P ↔ Q)"?

(P → Q) ∧ (Q → P)

¬P ↔ ¬Q

P ↔ Q

¬P ∧ ¬Q

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