Q. Consider the fractional knapsack instance n = 4, (p1, p2, p3, p4) = (10, 10, 12, 18). (w1, w2, w3, w4) = (2, 4, 6, 9) and M = 15. The maximum profit is given by

(Assume p and w denotes profit and weight of objects respectively)

View solution

Q. Match the following:

List-I List-II
a. Absurd i. Clearly impossible being contrary to some evident truth.
b. Ambiguous ii. Capable of more than one interpretation or meaning.
c. Axiom iii. An assertion that is accepted and used without a proof.
d. Conjecture iv. An opinion Preferably based on some experience or wisdom.

Codes: a b c d

View solution

Q. In Artificial Intelligence (AI), what is present in the planning graph?

View solution

Q. What is the best method to go for the game playing problem?

View solution

Q. Which of the following statements is true ?

View solution

Q. The first order logic (FOL) statement ((RᴠQ)˄(Pᴠ¬Q)) is equivalent to which of the following?

View solution

Q. Let us assume that you construct ordered tree to represent the compound proposition (~(p˄q))↔(~p˅~q).
Then, the prefix expression and post-fix expression determined using this ordered tree are given as ........... and ............. respectively.

View solution

Q. Let v(x) mean x is a vegetarian, m(y) for y is meat, and e(x, y) for x eats y. Based on these, consider the following sentences:

I. ∀x v(x) ⇔ (∀y e(x, y) ⇒ ¬m(y))
II. ∀x v(x ) ⇔ (¬(∃y m(y) ˄ e(x, y)))
III. ∀x (∃y m(y) ˄ e(x, y)) ⇔ ¬v(x)

One can determine that

View solution

Q. Match each Artificial Intelligence term in List-I that best describes a given situation in List – II:

List – I                                       List – II
I. Semantic Network                a. Knowledge about what to do as opposed to
how to do it.
II. Frame                                    b. A premise of a rule that is not concluded
by any rule.
III. Declarative knowledge      c. A method of knowledge representation that
uses a graph.
IV. Primitive                              d. A data structure representing stereotypical
knowledge.

Codes :
      I    II   III   IV

View solution

Q. In Artificial Intelligence , a semantic network

View solution

Q. Criticism free idea generation is a factor of ..............

View solution

Q. Consider the following logical inferences :

I1 : If it is Sunday then school will not open.
The school was open.
Inference : It was not Sunday.
I2 : If it is Sunday then school will not open.
It was not Sunday.
Inference : The school was open.

Which of the following is correct?

View solution

Q. Which formal system provides the semantic foundation for Prolog?

View solution

Q. How does randomized hill-climbing choose the next move each time?

View solution

Q. A software program that infers and manipulates existing knowledge in order to generate new knowledge is known as:

View solution

Q. Which of the following arguments are not valid?

(a) “If Gora gets the job and works hard, then he will be promoted. If Gora gets promotion, then he will be happy. He will not be happy, therefore, either he will not get the job or he will not work hard”.

(b) “Either Puneet is not guilty or Pankaj is telling the truth. Pankaj is not telling the truth, therefore, Puneet is not guilty”.

(c) If n is a real number such that n>1, then n^2>1. Suppose that n^2>1, then n>1.

View solution

Q. Let P(m,n) be the statement “m divides n” where the Universe of discourse for both the variables is the set of positive integers. Determine the truth values of the following propositions.

(a) ∃m ∀n P(m,n)        (b) ∀n P(1,n)             (c) ∀m ∀n P(m,n)

View solution

Q. Match the following terms:

List - I                                     List - II
(a) Vacuous proof       (i) A proof that the implication p→q is true
based on the fact that p is false
(b) Trivial proof             (ii) A proof that the implication p→q is true
based on the fact that q is true
(c) Direct proof             (iii) A proof that the implication p→q is true
that proceeds by showing that q must be true
when p is true.
(d) Indirect proof          (iv) A proof that the implication p→q is true
that proceeds by showing that p must be false
when q is false.

Codes:
      (a)  (b)   (c)    (d)

View solution

Q. Consider the compound propositions given below as:

(a) p˅~(p˄q)                  (b) (p˄~q)˅~(p˄q)                 (c) p˄(q˅r)

Which of the above propositions are tautologies?

View solution

Q. Which of the following property/ies a Group G must hold, in order to be an Abelian group?

(a) The distributive property
(b) The commutative property
(c) The symmetric property

View solution