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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is 7 mod 3?
💡 Hint: Find the remainder when dividing 7 by 3.
Question 2
Easy
What is the congruence relation for 10 and 4 under modulo 6?
💡 Hint: Check if their difference is divisible by 6.
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 result of 12 mod 5?
- 1
- 2
- 3
- 4
💡 Hint: Perform the division and check the remainder.
Question 2
True or False: Division in modular arithmetic is always well-defined.
- True
- False
💡 Hint: Consider divisibility and inversibility.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Illustrate how the square-and-multiply method can change the efficiency of calculating 2^20 mod 7.
💡 Hint: Follow the binary positions of 1s to determine which powers to use.
Question 2
Challenge yourself: Calculate and explain why 15 and 27 are not congruent modulo 6.
💡 Hint: Check their remainders under the modulus.
Challenge and get performance evaluation