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 3 of 12

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Q21.

If A is “001100” and B is “010101” then what is the value of A (Ex-or) B?

000000

111111

001101

011001

Discuss

Answer: (d).011001

Q22.

The Ex-nor of this string “01010101” with “11111111” is?

10101010

00110100

01010101

10101001

Discuss

Answer: (c).01010101

Q23.

What is the one’s complement of this string “01010100”?

10101010

00110101

10101011

10101001

Discuss

Answer: (c).10101011

Q24.

What is the 2’s complement of this string “01010100”?

10101010

00110100

10101100

10101001

Discuss

Answer: (c).10101100

Q25.

If in a bits string of {0,1}, of length 4, such that no two ones are together. Then the total number of such possible strings are?

Discuss

Answer: (c).7

Q26.

Let A: “010101”, B=?, If { A (Ex-or) B } is a resultant string of all ones then which of the following statement regarding B is correct?

B is negation of A

B is 101010

{A (and) B} is a resultant string having all zeroes

All of the mentioned

Discuss

Answer: (d).All of the mentioned

Q27.

Let P and Q be statements, then P<->Q is logically equivalent to __________

P<->~Q

~P<->Q

~P<->~Q

None of the mentioned

Discuss

Answer: (c).~P<->~Q

Q28.

What is the negation of the statement A->(B v(or) C)?

A ∧ ~B ∧ ~C

A->B->C

~A ∧ B v C

None of the mentioned

Discuss

Answer: (a).A ∧ ~B ∧ ~C

Q29.

The compound statement A-> (A->B) is false, then the truth values of A, B are respectively _________

T, T

F, T

T, F

F, F

Discuss

Answer: (c).T, F

Q30.

The statement which is logically equivalent to A∧ (and) B is?

A->B

~A ∧ ~ B

A ∧ ~B

~(A->~B)

Discuss

Answer: (d).~(A->~B)

Page 3 of 12

Welcome to the Logics and Proofs MCQs Page

Logics and Proofs MCQs | Page 3 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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