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Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the Chinese Remainder Theorem?
💡 Hint: Consider its relation to moduli.
Question 2
Easy
Define coprime numbers.
💡 Hint: Think of prime numbers.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is guaranteed by the Chinese Remainder Theorem?
💡 Hint: Think about the uniqueness in systems of equations.
Question 2
True or False: If two numbers are congruent mod m and m is prime, they are equal.
💡 Hint: Consider the possibilities outside of congruence.
Solve 1 more question and get performance evaluation
Push your limits with challenges.
Question 1
Prove that the CRT can be extended to more than two moduli.
💡 Hint: Think about the relationships of congruences.
Question 2
If 17 and 19 are coprime moduli, find a number less than 323 that is congruent to 5 mod 17 and congruent to 12 mod 19.
💡 Hint: Calculate the respective products and their inverses.
Challenge and get performance evaluation