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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the GCD of 24 and 36?
💡 Hint: Use the prime factorization method.
Question 2
Easy
State Bezout’s theorem in your own words.
💡 Hint: Think about what linear combinations mean.
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 Bezout's theorem?
- A method to find primes
- A theorem about GCD and linear combinations
- An algorithm to find the multiplicative inverse
💡 Hint: Think about what the theorem involves.
Question 2
True or False: The multiplicative inverse of a number a modulo N exists if and only if GCD(a, N) = 1.
- True
- False
💡 Hint: Consider the relationship between inverses and GCD.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that for any integers a and b, there exist integers x and y such that ax + by = gcd(a, b).
💡 Hint: Use examples such as (252, 198) during your proof.
Question 2
Given a = 13 and N = 24, find the multiplicative inverse modulo N.
💡 Hint: Use the extended Euclidean algorithm to compute this.
Challenge and get performance evaluation