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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is 10 mod 3?
💡 Hint: Think about how many times `3` fits into `10`.
Question 2
Easy
Is 9 ≡ 3 mod 6 true or false?
💡 Hint: What is the remainder of both `9` and `3` when divided 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 -11 mod 3?
- -1
- 1
- 2
💡 Hint: Convert negative to positive equivalent.
Question 2
True or False: Division is always well-defined in modular arithmetic.
- True
- False
💡 Hint: Consider the conditions under which division holds.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a = 12, b = 15, and N = 10, calculate (a * b) mod N using modular properties. Then explore how changing N affects the result.
💡 Hint: Perform multiplication first, then apply mod.
Question 2
Implement and analyze the efficiency of the square-and-multiply algorithm for calculating a^b mod N for large b. Discuss the time complexity.
💡 Hint: Focus on breaking down the exponent into binary for efficiency.
Challenge and get performance evaluation