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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a modular multiplicative inverse?
💡 Hint: Think of it as a number that undoes the multiplication.
Question 2
Easy
If a = 3 and N = 11, what is the multiplicative inverse of 'a'?
💡 Hint: Use trial and error to find b.
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 condition for a modular inverse to exist?
- GCD(a
- N) > 1
- GCD(a
- N) = 0
- GCD(a
- N) = 1
💡 Hint: Think about independent numbers.
Question 2
True or False: If 'a' has an inverse modulo 'N', then GCD(a, N) can be greater than 1.
- True
- False
💡 Hint: Consider what it means to be co-prime.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a = 27 and N = 40, determine the multiplicative inverse using the Extended Euclidean Algorithm. Show all steps.
💡 Hint: Break down each step and watch for the coefficients you get!
Question 2
If a = 12 and N = 30, can you find a multiplicative inverse? Justify your answer based on GCD.
💡 Hint: Consider why common factors prevent inverses!
Challenge and get performance evaluation