Welcome to the Graphs MCQs Page

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

Check out the MCQs below to embark on an enriching journey through Graphs. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Data Structures and Algorithms.

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

Graphs MCQs | Page 6 of 17

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Dynamic Programming

Q51.

Determine the longest string which is described by the given Directed Acyclic Word Graph.

BATS

BOATS

BOT

None of the mentioned

Discuss

Answer: (a).BATS

Q52.

Which of the following statements for a simple graph is correct?

Every path is a trail

Every trail is a path

Every trail is a path as well as every path is a trail

None of the mentioned

Discuss

Answer: (a).Every path is a trail

Q53.

What is the number of edges present in a complete graph having n vertices?

(n*(n+1))/2

(n*(n-1))/2

Information given is insufficient

Discuss

Answer: (b).(n*(n-1))/2

Q54.

In a simple graph, the number of edges is equal to twice the sum of the degrees of the vertices.

True

False

May be

Can't say

Discuss

Answer: (b).False

Q55.

A connected planar graph having 6 vertices, 7 edges contains _____________ regions.

Discuss

Answer: (b).3

Q56.

If a simple graph G, contains n vertices and m edges, the number of edges in the Graph G'(Complement of G) is ___________

(n*n-n-2*m)/2

(n*n+n+2*m)/2

(n*n-n-2*m)/2

(n*n-n+2*m)/2

Discuss

Answer: (c).(n*n-n-2*m)/2

Q57.

Which of the following properties does a simple graph not hold?

Must be connected

Must be unweighted

Must have no loops or multiple edges

All of the mentioned

Discuss

Answer: (a).Must be connected

Q58.

What is the maximum number of edges in a bipartite graph having 10 vertices?

Discuss

Answer: (c).25

Q59.

Which of the following is true?

A graph may contain no edges and many vertices

A graph may contain many edges and no vertices

A graph may contain no edges and no vertices

None of the mentioned

Discuss

Answer: (b).A graph may contain many edges and no vertices

Q60.

For a given graph G having v vertices and e edges which is connected and has no cycles, which of the following statements is true?

v=e

v = e+1

v + 1 = e

None of the mentioned

Discuss

Answer: (b).v = e+1

Page 6 of 17

Welcome to the Graphs MCQs Page

Graphs MCQs | Page 6 of 17

Explore more Topics under Data Structures and Algorithms

Data Structures Basics

Data Types and Abstraction

Algorithm Complexity

Arrays and Pointers

Linked Lists

Stacks and Queues

Recursion

Trees

String Operations

Sorting and Searching

Object Oriented Programming

Dynamic Programming

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