**Symbolic Logic MCQs** are very important test and often asked by various testing services and competitive exams around the world. Here you will find all the Important **Symbolic Logic MCQs** for Preparation.

The student can clear their concepts for **Symbolic Logic**** **online quiz by attempting it. Doing MCQs based **Symbolic Logic**** **will help you to check your understanding and identify areas of improvement.

**Symbolic Logic Online MCQs with Answers**

Which symbol represents the logical connective “conjunction” (AND)?

a) ∧

b) ∨

c) ¬

d) →

Which symbol represents the logical connective “disjunction” (OR)?

a) ∧

b) ∨

c) ¬

d) →

Which symbol represents the logical connective “negation” (NOT)?

a) ∧

b) ∨

c) ¬

d) →

Which symbol represents the logical connective “implication” (IF-THEN)?

a) ∧

b) ∨

c) ¬

d) →

What is the truth value of the statement “p ∧ q” if p is true and q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of the statement “p ∨ q” if p is true and q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of the statement “¬p” if p is true?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of the statement “p → q” if p is true and q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of the statement “¬(p ∧ q)” if p is true and q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of the statement “p ∨ (q ∧ ¬p)” if p is true and q is false?

a) True

b) False

c) Uncertain

d) Not applicable

Which symbol represents the logical connective “biconditional” (IF AND ONLY IF)?

a) ∧

b) ∨

c) ¬

d) ↔

Which logical operator represents the “AND” operation?

a) ∧

b) ∨

c) ¬

d) ⊕

Which logical operator represents the “OR” operation?

a) ∧

b) ∨

c) ¬

d) ⊕

Which logical operator represents the “NOT” operation?

a) ∧

b) ∨

c) ¬

d) ⊕

Which logical operator represents the “XOR” (exclusive OR) operation?

a) ∧

b) ∨

c) ¬

d) ⊕

What is the negation of the statement “P ∨ Q”?

a) ¬P ∧ ¬Q

b) ¬P ∨ ¬Q

c) ¬(P ∨ Q)

d) ¬(P ∧ Q)

What is the negation of the statement “P ∧ Q”?

a) ¬P ∨ ¬Q

b) ¬P ∧ ¬Q

c) ¬(P ∨ Q)

d) ¬(P ∧ Q)

Which statement is equivalent to “P → Q”?

a) P ∨ Q

b) P ∧ Q

c) ¬P ∨ Q

d) ¬P ∧ Q

Which statement is equivalent to “P ↔ Q”?

a) P ∨ Q

b) P ∧ Q

c) P → Q

d) (P ∧ Q) ∨ (¬P ∧ ¬Q)

What is the truth value of “P ∧ Q” if P is true and Q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “P ∨ Q” if P is true and Q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “P → Q” if P is true and Q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “P ↔ Q” if P is true and Q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “¬P” if P is true?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “¬P” if P is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “P ∧ ¬P”?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “P ∨ ¬P”?

a) True

b) False

c) Uncertain

d) Not applicable

Which of the following is the contrapositive of the statement “If P, then Q”?

a) If ¬P, then ¬Q

b) If ¬Q, then ¬P

c) If Q, then P

d) If P, then ¬Q

Which of the following is the converse of the statement “If P, then Q”?

a) If ¬P, then ¬Q

b) If ¬Q, then ¬P

c) If Q, then P

d) If P, then ¬Q

Which of the following is the inverse of the statement “If P, then Q”?

a) If ¬P, then ¬Q

b) If ¬Q, then ¬P

c) If Q, then P

d) If P, then ¬Q

Which of the following is the contrapositive of the statement “If P ↔ Q, then R”?

a) If ¬R, then ¬P ↔ Q

b) If ¬P ↔ Q, then R

c) If R, then P ↔ Q

d) If P ↔ Q, then ¬R

Which of the following is the converse of the statement “If P ↔ Q, then R”?

a) If ¬R, then ¬P ↔ Q

b) If ¬P ↔ Q, then R

c) If R, then P ↔ Q

d) If P ↔ Q, then ¬R

Which logical operator represents the “AND” operation?

a) ∧

b) ∨

c) ¬

d) ⊕

Which logical operator represents the “OR” operation?

a) ∧

b) ∨

c) ¬

d) ⊕

Which logical operator represents the “NOT” operation?

a) ∧

b) ∨

c) ¬

d) ⊕

Which logical operator represents the “XOR” (exclusive OR) operation?

a) ∧

b) ∨

c) ¬

d) ⊕

What is the negation of the statement “P ∨ Q”?

a) ¬P ∧ ¬Q

b) ¬P ∨ ¬Q

c) ¬(P ∨ Q)

d) ¬(P ∧ Q)

What is the negation of the statement “P ∧ Q”?

a) ¬P ∨ ¬Q

b) ¬P ∧ ¬Q

c) ¬(P ∨ Q)

d) ¬(P ∧ Q)

Which statement is equivalent to “P → Q”?

a) P ∨ Q

b) P ∧ Q

c) ¬P ∨ Q

d) ¬P ∧ Q

Which statement is equivalent to “P ↔ Q”?

a) P ∨ Q

b) P ∧ Q

c) P → Q

d) (P ∧ Q) ∨ (¬P ∧ ¬Q)

What is the truth value of “P ∧ Q” if P is true and Q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “P ∨ Q” if P is true and Q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “P → Q” if P is true and Q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “P ↔ Q” if P is true and Q is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “¬P” if P is true?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “¬P” if P is false?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “P ∧ ¬P”?

a) True

b) False

c) Uncertain

d) Not applicable

What is the truth value of “P ∨ ¬P”?

a) True

b) False

c) Uncertain

d) Not applicable

Which of the following is the contrapositive of the statement “If P, then Q”?

a) If ¬P, then ¬Q

b) If ¬Q, then ¬P

c) If Q, then P

d) If P, then ¬Q

Which of the following is the converse of the statement “If P, then Q”?

a) If ¬P, then ¬Q

b) If ¬Q, then ¬P

c) If Q, then P

d) If P, then ¬Q

Which of the following is the inverse of the statement “If P, then Q”?

a) If ¬P, then ¬Q

b) If ¬Q, then ¬P

c) If Q, then P

d) If P, then ¬Q

Which of the following is the contrapositive of the statement “If P ↔ Q, then R”?

a) If ¬R, then ¬P ↔ Q

b) If ¬P ↔ Q, then R

c) If R, then P ↔ Q

d) If P ↔ Q, then ¬R

Which of the following is the converse of the statement “If P ↔ Q, then R”?

a) If ¬R, then ¬P ↔ Q

b) If ¬P ↔ Q, then R

c) If R, then P ↔ Q

d) If P ↔ Q, then ¬R

Which of the following is the inverse of the statement “If P ↔ Q, then R”?

a) If ¬R, then ¬P ↔ Q

b) If ¬P ↔ Q, then R

c) If R, then P ↔ Q

d) If P ↔ Q, then ¬R