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 2 of 12

Explore more Topics under Discrete Mathematics

01

Sets and Functions

02

Sequences,Sums and Matrices

03

Algorithms

04

Number Theory and Cryptography

05

Induction and Recursion

06

Counting Theory

07

Discrete Probability

08

Relations

09

Graphs and Graphs Properties

10

Tree Properties

11

Boolean Algebra and Modeling Computations

12

Group Theory

Q11.

What is the value of x after this statement, assuming the initial value of x is 5?

‘If x equals to one then x=x+2 else x=0’.

Discuss

Answer: (c).0

Q12.

Let P: I am in Bangalore.; Q: I love cricket.; then q -> p(q implies p) is?

If I love cricket then I am in Bangalore

If I am in Bangalore then I love cricket

I am not in Bangalore

I love cricket

Discuss

Answer: (a).If I love cricket then I am in Bangalore

Q13.

Let P: If Sahil bowls, Saurabh hits a century.; Q: If Raju bowls, Sahil gets out on first ball. Now if P is true and Q is false then which of the following can be true?

Raju bowled and Sahil got out on first ball

Raju did not bowled

Sahil bowled and Saurabh hits a century

Sahil bowled and Saurabh got out

Discuss

Answer: (c).Sahil bowled and Saurabh hits a century

Q14.

The truth value ‘9 is prime then 3 is even’.

True

False

May be True or False

Can't say

Discuss

Answer: (a).True

Q15.

Let P: I am in Delhi.; Q: Delhi is clean.; then q ^ p(q and p) is?

Delhi is clean and I am in Delhi

Delhi is not clean or I am in Delhi

I am in Delhi and Delhi is not clean

Delhi is clean but I am in Mumbai

Discuss

Answer: (a).Delhi is clean and I am in Delhi

Q16.

Let P: This is a great website, Q: You should not come back here. Then ‘This is a great website and you should come back here.’ is best represented by?

~P V ~Q

P ∧ ~Q

P V Q

P ∧ Q

Discuss

Answer: (b).P ∧ ~Q

Q17.

Which of the following bits is the negation of the bits “010110”?

111001

001001

101001

111111

Discuss

Answer: (c).101001

Q18.

Which of the following option is suitable, if A is “10110110”, B is”11100000” and C is”10100000”?

C=A or B

C=~A

C=~B

C=A and B

Discuss

Answer: (d).C=A and B

Q19.

How many bits string of length 4 are possible such that they contain 2 ones and 2 zeroes?

Discuss

Answer: (d).6

Q20.

If a bit string contains {0, 1} only, having length 5 has no more than 2 ones in it. Then how many such bit strings are possible?

Discuss

Answer: (d).16

Page 2 of 12

Welcome to the Logics and Proofs MCQs Page

Logics and Proofs MCQs | Page 2 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

Suggested Topics

Software Architecture and Design

Python

CSS

MATLAB

Wireless and Mobile Communications

Digital Logic Design

Management Information Systems

IT Fundamentals

MongoDB