# Logical Relationships MCQs with Answers

Logical Relationships 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 Logical Relationships MCQs for Preparation.

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

## Logical Relationships Online MCQs with Answers

In logic, the statement “If P, then Q” is represented by which logical relationship?
a) Conjunction
b) Disjunction
c) Implication
d) Equivalence

c) Implication

Which logical relationship represents the statement “P if and only if Q”?
a) Conjunction
b) Disjunction
c) Implication
d) Equivalence

d) Equivalence

What is the truth value of the statement “P implies Q” when P is true and Q is false?
a) True
b) False
c) Cannot be determined

b) False

What is the truth value of the statement “P implies Q” when both P and Q are true?
a) True
b) False
c) Cannot be determined

a) True

What is the truth value of the statement “P if and only if Q” when P is true and Q is false?
a) True
b) False
c) Cannot be determined

b) False

What is the truth value of the statement “P if and only if Q” when both P and Q are true?
a) True
b) False
c) Cannot be determined

a) True

Which logical relationship represents the statement “P and Q”?
a) Conjunction
b) Disjunction
c) Implication
d) Equivalence

a) Conjunction

What is the truth value of the statement “P and Q” when both P and Q are true?
a) True
b) False
c) Cannot be determined

a) True

What is the truth value of the statement “P and Q” when P is true and Q is false?
a) True
b) False
c) Cannot be determined

b) False

What is the truth value of the statement “P or Q” when both P and Q are true?
a) True
b) False
c) Cannot be determined

a) True

Which logical relationship represents the statement “P or Q”?
a) Conjunction
b) Disjunction
c) Implication
d) Equivalence

b) Disjunction

What is the truth value of the statement “P or Q” when P is true and Q is false?
a) True
b) False
c) Cannot be determined

a) True

Which logical relationship represents the statement “P xor Q”?
a) Conjunction
b) Disjunction
c) Implication
d) Exclusive disjunction

d) Exclusive disjunction

What is the truth value of the statement “P xor Q” when both P and Q are true?
a) True
b) False
c) Cannot be determined

b) False

What is the truth value of the statement “P xor Q” when P is true and Q is false?
a) True
b) False
c) Cannot be determined

a) True

What is the truth value of the statement “P xor Q” when both P and Q are false?
a) True
b) False
c) Cannot be determined

b) False

What is the truth value of the statement “not P” when P is true?
a) True
b) False
c) Cannot be determined

b) False

What is the truth value of the statement “not P” when P is false?
a) True
b) False
c) Cannot be determined

a) True

What is the truth value of the statement “(P and Q) or R” when P is true, Q is false, and R is true?
a) True
b) False
c) Cannot be determined

a) True

What is the truth value of the statement “P and (Q or R)” when P is true, Q is false, and R is true?
a) True
b) False
c) Cannot be determined

b) False

What is the truth value of the statement “not (P and Q)” when P is true and Q is false?
a) True
b) False
c) Cannot be determined

a) True

What is the truth value of the statement “not P and Q” when P is true and Q is false?
a) True
b) False
c) Cannot be determined