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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 3 of 12

Explore more Topics under Discrete Mathematics

Q21.
If A is “001100” and B is “010101” then what is the value of A (Ex-or) B?

a.

000000

b.

111111

c.

001101

d.

011001

Discuss
Answer: (d).011001
Q22.
The Ex-nor of this string “01010101” with “11111111” is?

a.

10101010

b.

00110100

c.

01010101

d.

10101001

Discuss
Answer: (c).01010101
Q23.
What is the one’s complement of this string “01010100”?

a.

10101010

b.

00110101

c.

10101011

d.

10101001

Discuss
Answer: (c).10101011
Q24.
What is the 2’s complement of this string “01010100”?

a.

10101010

b.

00110100

c.

10101100

d.

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?

a.

1

b.

5

c.

7

d.

4

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?

a.

B is negation of A

b.

B is 101010

c.

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

d.

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 __________

a.

P<->~Q

b.

~P<->Q

c.

~P<->~Q

d.

None of the mentioned

Discuss
Answer: (c).~P<->~Q
Q28.
What is the negation of the statement A->(B v(or) C)?

a.

A ∧ ~B ∧ ~C

b.

A->B->C

c.

~A ∧ B v C

d.

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 _________

a.

T, T

b.

F, T

c.

T, F

d.

F, F

Discuss
Answer: (c).T, F
Q30.
The statement which is logically equivalent to A∧ (and) B is?

a.

A->B

b.

~A ∧ ~ B

c.

A ∧ ~B

d.

~(A->~B)

Discuss
Answer: (d).~(A->~B)
Page 3 of 12

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