Dijkstra and Shortest Path Algorithms MCQ & Objective Questions
Dijkstra and Shortest Path Algorithms are crucial topics in computer science that frequently appear in various school and competitive exams. Understanding these algorithms not only enhances your problem-solving skills but also boosts your confidence during exams. Practicing MCQs and objective questions related to this topic helps you identify important concepts and improves your chances of scoring better in your exams.
What You Will Practise Here
Fundamentals of Dijkstra's Algorithm
Step-by-step execution of the Shortest Path Algorithm
Key definitions and terminologies related to graph theory
Common use cases and applications of shortest path algorithms
Important formulas and their derivations
Visual representations and diagrams for better understanding
Comparison with other shortest path algorithms
Exam Relevance
The topic of Dijkstra and Shortest Path Algorithms is highly relevant for students preparing for CBSE, State Boards, NEET, and JEE. Questions often focus on the algorithm's working, its applications, and problem-solving scenarios. You may encounter multiple-choice questions that require you to apply the algorithm to find the shortest path in a given graph or to identify the correct output of the algorithm based on a provided input.
Common Mistakes Students Make
Confusing the steps of Dijkstra's Algorithm with other graph algorithms.
Misinterpreting the graph representation, leading to incorrect path calculations.
Overlooking edge cases, such as graphs with negative weights.
Failing to understand the importance of priority queues in optimizing the algorithm.
FAQs
Question: What is the main purpose of Dijkstra's Algorithm? Answer: Dijkstra's Algorithm is used to find the shortest path from a starting node to all other nodes in a weighted graph.
Question: Can Dijkstra's Algorithm handle negative weight edges? Answer: No, Dijkstra's Algorithm does not work correctly with graphs that have negative weight edges.
Now is the time to enhance your understanding of Dijkstra and Shortest Path Algorithms! Dive into our practice MCQs and test your knowledge to excel in your exams. Remember, consistent practice is key to mastering this important topic!
Q. In Dijkstra's algorithm, how is the next node to process selected?
A.
By selecting the node with the highest degree
B.
By selecting the node with the lowest tentative distance
C.
By selecting the node that was added last
D.
By selecting a random node
Solution
The next node to process in Dijkstra's algorithm is selected based on the lowest tentative distance, ensuring the shortest path is explored first.
Correct Answer:
B
— By selecting the node with the lowest tentative distance
Q. What happens if Dijkstra's algorithm is applied to a graph with negative weight edges?
A.
It will still find the shortest path.
B.
It may produce incorrect results.
C.
It will not terminate.
D.
It will find the longest path.
Solution
Dijkstra's algorithm may produce incorrect results if applied to graphs with negative weight edges, as it assumes that once a node's shortest path is found, it cannot be improved.
Correct Answer:
B
— It may produce incorrect results.
