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Welcome to the Logics and Proofs MCQs Page

Dive deep into the fascinating world of Logics and Proofs with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Logics and Proofs, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Logics and Proofs, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Logics and Proofs. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Logics and Proofs. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Logics and Proofs MCQs | Page 6 of 12

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Q51.
A compound proposition that is always ___________ is called a contradiction.

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (b).False
Q52.
If A is any statement, then which of the following is a tautology?

a.

A ∧ F

b.

A ∨ F

c.

A ∨ ¬A

d.

A ∧ T

Discuss
Answer: (c).A ∨ ¬A
Q53.
If A is any statement, then which of the following is not a contradiction?

a.

A ∧ ¬A

b.

A ∨ F

c.

A ∧ F

d.

None of mentioned

Discuss
Answer: (b).A ∨ F
Q54.
A compound proposition that is neither a tautology nor a contradiction is called a ___________

a.

Contingency

b.

Equivalence

c.

Condition

d.

Inference

Discuss
Answer: (a).Contingency
Q55.
¬ (A ∨ q) ∧ (A ∧ q) is a ___________

a.

Tautology

b.

Contradiction

c.

Contingency

d.

None of the mentioned

Discuss
Answer: (b).Contradiction
Q56.
(A ∨ ¬A) ∨ (q ∨ T) is a __________

a.

Tautology

b.

Contradiction

c.

Contingency

d.

None of the mentioned

Discuss
Answer: (a).Tautology
Q57.
A ∧ ¬(A ∨ (A ∧ T)) is always __________

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (b).False
Q58.
(A ∨ F) ∨ (A ∨ T) is always _________

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (a).True
Q59.
A → (A ∨ q) is a __________

a.

Tautology

b.

Contradiction

c.

Contingency

d.

None of the mentioned

Discuss
Answer: (a).Tautology
Q60.
The contrapositive of p → q is the proposition of ____________

a.

¬p → ¬q

b.

¬q → ¬p

c.

q → p

d.

¬q → p

Discuss
Answer: (b).¬q → ¬p
Page 6 of 12

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