7.1 - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
What is 7 mod 3?
💡 Hint: Find the remainder when dividing 7 by 3.
What is the congruence relation for 10 and 4 under modulo 6?
💡 Hint: Check if their difference is divisible by 6.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of 12 mod 5?
💡 Hint: Perform the division and check the remainder.
True or False: Division in modular arithmetic is always well-defined.
💡 Hint: Consider divisibility and inversibility.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
Challenge yourself: Calculate and explain why 15 and 27 are not congruent modulo 6.
💡 Hint: Check their remainders under the modulus.
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Reference links
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