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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what a multiplicative inverse is.
💡 Hint: Think about what it means to reverse a multiplication.
Question 2
Easy
What condition must be met for a multiplicative inverse to exist?
💡 Hint: Look at the relationship expressed by Bezout's theorem.
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 multiplicative inverse of 3 modulo 7?
- 1
- 2
- 5
💡 Hint: Try multiplying 3 with each option and see if the result is 1.
Question 2
True or False: A multiplicative inverse exists if GCD(a, N) = 0.
- True
- False
💡 Hint: Remember the GCD’s role in determining co-primality.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the multiplicative inverse of 11 modulo 31 using the Extended Euclidean Algorithm.
💡 Hint: Utilize the extended algorithm step-by-step to find the necessary coefficients.
Question 2
Explain in detail why the existence of a multiplicative inverse is essential in RSA algorithm applications.
💡 Hint: Consider how the keys relate to modular arithmetic operations.
Challenge and get performance evaluation