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Welcome to the Discrete Structures MCQs Page

Dive deep into the fascinating world of Discrete Structures with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Discrete Structures, a crucial aspect of UGC CBSE NET Exam. In this section, you will encounter a diverse range of MCQs that cover various aspects of Discrete Structures, 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 UGC CBSE NET Exam.

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Check out the MCQs below to embark on an enriching journey through Discrete Structures. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of UGC CBSE NET Exam.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Discrete Structures. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Discrete Structures MCQs | Page 15 of 19

Q141.
Match the List-I with List-II and choose the correct answer from the code given below:

List I List II

(a) Equivalence (i) p⇒q
(b) Contrapositive (ii) p⇒q : q⇒p
(c) Converse (iii) p⇒q : ∼q⇒∼p
(d) Implication (iv) p⇔q
Discuss
Answer: (d).(a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)
Q142.
A box contains six red balls and four green balls. Four balls are selected at random from the box. What is the probability that two of the selected balls will be red and two will be green?
Discuss
Answer: (b).3/7
Q143.
A survey has been conducted on methods of commuter travel. Each respondent was asked to check Bus, Train and Automobile as a major method of travelling to work. More than one answer was permitted. The results reported were as follows:

Bus 30 people; Train 35 people; Automobile 100 people; Bus and Train 15 people; Bus and Automobile 15 people; Train and Automobile 20 people; and all the three methods 5 people. How many people completed the survey form?
Discuss
Answer: (a).120
Q144.
If a graph (G) has no loops or parallel edges, and if the number of vertices (n) in the graph is n≥3, then graph G is Hamiltonian if

(i) deg(v) ≥ n/3 for each vertex v
(ii) deg(v) + deg(w) ≥ n whenever v and w are not connected by an edge
(iii) E(G) ≥ 1/3(n−1)(n−2)+2
Discuss
Answer: (b).(ii) only
Q145.
Consider two sequences X and Y:

X = <0,1,2,1,3,0,1>
Y = <1,3,2,0,1,0>

The length of longest common subsequence between X and Y is

a.

2

b.

3

c.

4

d.

5

Discuss
Answer: (c). 4
Q146.
Consider the following method. IF P is the minimum number of tests to achieve full statement coverage for f(), and Q is the number of tests to achieve full branch coverage for f(), then (P,Q) =
int f(int m, int n, boolean x, boolean y)
{
    int res = 0;
    if (m<0) {res = n - m;}
    else if (x || y)
    {
        res = -1;
        if(n == m){res = 1;}
    }
    else {res = n;}
    return res;
} /*end of f *
Discuss
Answer: (a).(3,4)
Q147.
Consider the following terminology and match List I with List II and choose the correct answer from the code given below.

b = branching factor
d = depth of the shallowest solution
m = maximum depth of the search tree
l = depth limit

List I List II
(Algorithms) (Space Complexity)
(a) BFS search (i) O(bd)
(b) DFS search (ii) O(b^d)
(c) Depth-limited search (iii) O(bm)
(d) Iterative deepening search (iv) O(bl)
Discuss
Answer: (b).(a) – (ii), (b)-(iii), (c)-(iv), (d)-(i)
Q148.
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?
Discuss
Answer: (c).Statement S1 is true but statement S2 is false
Q149.
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
Discuss
Answer: (c).15
Q150.
Consider the sentence below:

“There is a country that borders both India and Nepal”
Which of the following represents the above sentence correctly?
Discuss
Answer: (a).∃c Country(c) ∧ Border(c,India) ∧ Border(c,Nepal)

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