Q. Consider the following statements:

S1: A heuristic is admissible if it never overestimates the cost to reach the goal.
S2: A heuristic is monotonous if it follows triangle inequality property.

Which of the following is true referencing the above statements?

View solution

Q. Consider a vocabulary with only four propositions A, B, C and D. How many models are there for the following sentence?

¬A ∨ ¬B ∨ ¬C ∨ ¬D

View solution

Q. Consider the sentence below:

“There is a country that borders both India and Nepal”
Which of the following represents the above sentence correctly?

View solution

Q. A full joint distribution for the Toothache, Cavity and Catch is given in the table below. What is the probability of Cavity, given evidence of Toothache?

View solution

Q. E is the number of edges in the graph and f is maximum flow in the graph. When the capacities are integers, the runtime of Ford-Fulberson algorithm is bounded by:

View solution

Q. Which of the following statements is false about convex minimization problem?

View solution

Q. The following LPP
Maximize z = 100x1+2x2+5x3
Subject to

14x1+x2−6x3+3x4 = 7
32x1+x2−12x3 ≤ 10
3x1−x2−x3 ≤ 0
x1, x2, x3, x4 ≥ 0

has

View solution

Q. Digital data received from a sensor can fill up 0 to 32 buffers. Let the sample space be S={0, 1, 2, .........., 32} where the sample j denote that j of the buffers are full and
p(i) =1/561 (33 - i). Let A denote the event that the even number of buffers are full. Then p(A) is:

View solution

Q. The equivalence of

¬ ∃x Q(x) is:

View solution

Q. Match the following in List - I and List - II, for a function f:

List - I
(a) ∀x ∀y (f (x)=f (y) → x=y)
(b) ∀y ∃ x (f (x)=y)
(c) ∀x f (x)=k

List - II
(i) Constant
(ii) Injective
(iii) Surjective

Code:
(a) (b) (c)

View solution

Q. Which of the relations on {0, 1, 2, 3} is an equivalence relation?

View solution

Q. Which of the following is an equivalence relation on the set of all functions from Z to Z?

View solution

Q. Which of the following statements is true?

View solution

Q. If the time is now 4 O'clock, what will be the time after 101 hours from now?

View solution

Q. Let m = (313)4 and n = (322)4. Find the base 4 expansion of m + n.

View solution

Q. How many distinguishable permutations of the letters in the word BANANA are there?

View solution

Q. Let P and Q be two propositions, ⌐(P ↔ Q) is equivalent to:

View solution

Q. Negation of the proposition Ǝ x H(x) is:

View solution

Q. Consider the following two sequences :

X = <B, C, D, C, A, B, C>
and Y = <C, A, D, B, C, B>

The length of longest common subsequence of X and Y is:

View solution

Q. A text is made up of the characters a, b, c, d, e each occurring with the probability 0.11, 0.40, 0.16, 0.09 and 0.24 respectively. The optimal Huffman coding technique will have the average length of:

View solution