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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 13 of 19

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Q121.
The complete graph with four vertices has k edges where k is:

a.

3

b.

4

c.

5

d.

6

Discuss
Answer: (d).6
Q122.
Which two of the following are equivalent for an undirected graph G?

(i) G is a tree
(ii) There is at least one path between any two distinct vertices of G
(iii) G contains no cycles and has (n-1) edges
(iv) G has n edges

a.

(i) and (ii)

b.

(i) and (iii)

c.

(i) and (iv)

d.

(ii) and (iii)

Discuss
Answer: (b).(i) and (iii)
Q123.
A relation R in {1,2,3,4,5,6} is given by {(1,2),(2,3),(3,4),(4,4),(4,5)}. This relation is:

a.

reflexive

b.

symmetric

c.

transitive

d.

not reflexive, not symmetric and not transitive

Discuss
Answer: (d).not reflexive, not symmetric and not transitive
Q124.
The set of positive integers under the operation of ordinary multiplication is:

a.

not a monoid

b.

not a group

c.

a group

d.

an Abelian group

Discuss
Answer: (d).an Abelian group
Q125.
In a set of 8 positive integers, there always exists a pair of numbers having the same remainder when divided by:

a.

7

b.

11

c.

13

d.

15

Discuss
Answer: (a).7
Q126.
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 are red and two are green?

a.

3/7

b.

4/7

c.

5/7

d.

6/7

Discuss
Answer: (a).3/7
Q127.
The number of edges in a complete graph with ‘n’ vertices is equal to:

a.

n(n-1)

b.

n(n-1)/2

c.

n^2

d.

2n-1

Discuss
Answer: (b).n(n-1)/2
Q128.
Depth ion travels of the following directed graph is:

a.

ABCDEF

b.

ABDEFC

c.

ACEBDF

d.

None of the above

Discuss
Answer: (b).ABDEFC
Q129.
If (a^2−b^2) is a prime number where a and bϵN, then:

a.

a^2−b^2 = 3

b.

a^2−b^2 = a−b

c.

a^2−b^2 = a+b

d.

a^2−b^2 = 5

Discuss
Answer: (c).a^2−b^2 = a+b
Q130.
For a complete graph with N vertices, the total number of spanning trees is given by:

a.

2N-1

b.

N^(N-1)

c.

N^(N-2)

d.

2N+1

Discuss
Answer: (c).N^(N-2)
Page 13 of 19

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