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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 2 of 12

Explore more Topics under Discrete Mathematics

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’.

a.

1

b.

3

c.

0

d.

2

Discuss
Answer: (c).0
Q12.
Let P: I am in Bangalore.; Q: I love cricket.; then q -> p(q implies p) is?

a.

If I love cricket then I am in Bangalore

b.

If I am in Bangalore then I love cricket

c.

I am not in Bangalore

d.

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?

a.

Raju bowled and Sahil got out on first ball

b.

Raju did not bowled

c.

Sahil bowled and Saurabh hits a century

d.

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’.

a.

True

b.

False

c.

May be True or False

d.

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?

a.

Delhi is clean and I am in Delhi

b.

Delhi is not clean or I am in Delhi

c.

I am in Delhi and Delhi is not clean

d.

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?

a.

~P V ~Q

b.

P ∧ ~Q

c.

P V Q

d.

P ∧ Q

Discuss
Answer: (b).P ∧ ~Q
Q17.
Let P: We should be honest., Q: We should be dedicated., R: We should be overconfident. Then ‘We should be honest or dedicated but not overconfident.’ is best represented by?

a.

~P V ~Q V R

b.

P ∧ ~Q ∧ R

c.

P V Q ∧ R

d.

P V Q ∧ ~R

Discuss
Answer: (d).P V Q ∧ ~R
Q18.
Which of the following bits is the negation of the bits “010110”?

a.

111001

b.

001001

c.

101001

d.

111111

Discuss
Answer: (c).101001
Q19.
Which of the following option is suitable, if A is “10110110”, B is”11100000” and C is”10100000”?

a.

C=A or B

b.

C=~A

c.

C=~B

d.

C=A and B

Discuss
Answer: (d).C=A and B
Q20.
How many bits string of length 4 are possible such that they contain 2 ones and 2 zeroes?

a.

4

b.

2

c.

5

d.

6

Discuss
Answer: (d).6
Page 2 of 12

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