Practice Module - 02 - 27.1.5 | 27. Mathematical Institute | Design & Analysis of Algorithms - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the initial distance assigned to all vertices except the source in Dijkstra's algorithm?

💡 Hint: All vertices start with a distance of what value except the source?

Question 2

Easy

True or False: Dijkstra's algorithm can handle negative weight edges.

💡 Hint: What happens with negative weights in shortest path problems?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the main objective of Dijkstra's algorithm?

  • Find the maximum path
  • Find the shortest path
  • Find all paths

💡 Hint: What are we trying to minimize in this algorithm?

Question 2

Dijkstra's algorithm uses which type of approach?

  • True
  • False

💡 Hint: Does it make local choices for global outcomes?

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with vertices A, B, C, and D with weights: A to B (1), A to C (4), B to C (2), B to D (6), and C to D (1). Using Dijkstra's algorithm from A, calculate the shortest path to D.

💡 Hint: Trace the paths starting from A and calculate the weights.

Question 2

Explain the shortcomings of Dijkstra's algorithm when applied to a graph with negative edges and provide an example of why it fails.

💡 Hint: Consider paths and how weights impact total distance, especially when negative options are available.

Challenge and get performance evaluation