Artificial Intelligence Concepts and Techniques Week 4 Answers
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Artificial Intelligence Concepts and Techniques Week 4 Answers (July-Dec 2025)
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Question 1. Which form is called as a conjunction of disjunction of literals?
a) Conjunctive normal form
b) Disjunctive normal form
c) Normal form
d) Unit clause
Question 2. The mathematical notation to describe logical entailment of a sentence “α entails another sentence β” is:
a) α⊆β
b) α⊨β
c) β⊨α
d) β⊆α
Question 3. Which of the following option is used to build complex sentences in knowledge representation?
a) Symbols
b) Connectives
c) Quantifiers
d) Variables
Question 4. Let L(x,y) be the statement “x loves y” where the domain for both x and y consists of all people. Express the statement “Joy is loved by everyone”.
a) ∀yL(Joy,y)
b) ∀xL(x,Joy)
c) ∃y∀xL(x,y)
d) ∃x¬L(Joy,x)
Question 5. If f(x) means “x is my friend” and p(x) means “x is perfect”, then the correct translation of the statement “some of my friends are not perfect” is:
a) ∀x(f(x)∧¬p(x))
b) ¬(f(x)∧¬p(x))
c) ∃x(f(x)∧¬p(x))
d) ∃x(¬f(x)∧¬p(x))
Question 6. Let A, B, and C be true, false and true respectively. Which of the following is true?
a) A∧B∧C
b) A∧¬B∧¬C
c) B→(A∧C)
d) A→(B∧C)
Question 7. Translate ∀x∃y(x>y) in English, considering the domain as a real number for both the variables.
a) For every real number y there exists a real number x such that x is greater than y
b) For all real numbers x there exists a real number y such that x is greater than y
c) For each and every real number x and y, x is greater than y
d) For some real number x there exists a real number y such that x is greater than y
Question 8. Negation of the proposition ∃xH(x) is:
a) ∃x¬H(x)
b) ∀xH(x)
c) ¬xH(x)
d) ∀x¬H(x)
Question 9. What is the key idea behind resolution?
a) It is a refutation complete inference procedure
b) It is a method to prove the truth of a statement
c) It is a way to convert sentences into Conjunctive Normal Form (CNF)
d) It is a type of logical connective
Question 10. What does the “empty clause” signify in resolution?
a) A true statement
b) A false statement or contradiction
c) A valid statement
d) An indeterminate statement
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These are Artificial Intelligence Concepts and Techniques Week 4 Answers