Practice Transitive Law (Hypothetical Syllogism) - 4.1.4.3 | 4. Rules of Inference | 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

What is the transitive law?

💡 Hint: Think about how one condition leads to another.

Question 2

Easy

State the meaning of Modus Ponens.

💡 Hint: Recall the structure of this rule.

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 does the transitive law state?

  • If p equals q
  • If p implies q and q implies r
  • then p implies r
  • None of the above

💡 Hint: Consider the structure of conditional statements.

Question 2

Is the following statement a tautology: 'If p and q are both true then p must be true'?

  • True
  • False

💡 Hint: Think about the implications of 'p and q'.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the statements: 'If a book is read, knowledge is gained; If knowledge is gained, confidence increases.' Prove the transitive law in this context.

💡 Hint: Identify p, q, and r in your reasoning.

Question 2

Construct a truth table for the transitive law that includes all variable combinations for p, q, and r.

💡 Hint: Show how the implications relate truthfully.

Challenge and get performance evaluation