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.

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 1 of 12

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Q1.

In the circuit shown the lamp will be glowing if _________

P: True, Q: False

P: True, Q: True

P: False, Q: False

None of the mentioned

Discuss

Answer: (a).P: True, Q: False

Q2.

In this circuit shown the lamp will be glowing if _________

P: True, Q: True, R: False

P: True, Q: True, R: True

P: False, Q: False, R: True

None of the mentioned

Discuss

Answer: (c).P: False, Q: False, R: True

Q3.

Which statement should be true in order for lamp to glow?

(R ∧ (~(P ∧ Q))

P∧R∧Q

P ∧ (Q ∧ ~R)

None of the mentioned

Discuss

Answer: (a).(R ∧ (~(P ∧ Q))

Q4.

If it is given that switch R is closed and Q is closed then the lamp will glow if _________

P: Open, S: Closed

P: Open, S: Open

P: Closed, S: Closed

None of the mentioned

Discuss

Answer: (a).P: Open, S: Closed

Q5.

The circuit depend on which switch/switches state to be complete?

Both P and Q

None of the mentioned

Discuss

Answer: (a).P

Q6.

The ten switches A,B,C,D,E,F,G,H,N,M are placed in the given circuit (all are open at given time). If you close one switch you need to pay 1 unit cost. What is the cost you need to pay to glow this Lamp?

1 unit

2 units

3 units

4 units

Discuss

Answer: (a).1 unit

Q7.

The given circuit can work if the switches P and Q be ___________

P: True, Q: False

P: True, Q: True

P: False, Q: False

All of the mentioned

Discuss

Answer: (d).All of the mentioned

Q8.

Which of the following statement is a proposition?

Get me a glass of milkshake

God bless you!

What is the time now?

The only odd prime number is 2

Discuss

Answer: (d).The only odd prime number is 2

Q9.

The truth value of ‘4+3=7 or 5 is not prime’.

True

False

May be True or False

Can't say

Discuss

Answer: (a).True

Q10.

Which of the following option is true?

If the Sun is a planet, elephants will fly

3 +2 = 8 if 5-2 = 7

1 > 3 and 3 is a positive integer

-2 > 3 or 3 is a negative integer

Discuss

Answer: (a).If the Sun is a planet, elephants will fly

Page 1 of 12

Welcome to the Logics and Proofs MCQs Page

Logics and Proofs MCQs | Page 1 of 12

Explore more Topics under Discrete Mathematics

Sets and Functions

Sequences,Sums and Matrices

Algorithms

Number Theory and Cryptography

Induction and Recursion

Counting Theory

Discrete Probability

Relations

Graphs and Graphs Properties

Tree Properties

Boolean Algebra and Modeling Computations

Group Theory

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