Practice Practical Implications of the SAT Problem - 3.4 | 3. SAT Problem | Discrete Mathematics - 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

Define a satisfiable proposition.

💡 Hint: Think of a scenario where a statement can be true.

Question 2

Easy

What is the main goal of the SAT problem?

💡 Hint: Consider what you are checking when solving a logical equation.

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 defines a satisfiable proposition?

  • It can be true under no truth assignments.
  • It can be true under at least one truth assignment.
  • It is always false.

💡 Hint: Think about the definitions we went through.

Question 2

True or False: Every logical expression can be converted to CNF.

  • True
  • False

💡 Hint: Recall that CNF is a standard form.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the proposition P ↔ Q, convert it to CNF and explain each transformation step.

💡 Hint: Start by recalling the logical identities that define bi-implications.

Question 2

Design a simple Sudoku solver algorithm using the SAT approach. Describe the propositional variables and constraints you'll implement.

💡 Hint: Think through each Sudoku rule to encode your requirements.

Challenge and get performance evaluation