Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the general solution form of a linear congruence?
💡 Hint: Consider how many solutions exist once you find one.
Question 2
Easy
Define pairwise coprime.
💡 Hint: Think about how many numbers share divisors.
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 form of solutions for linear congruences?
- A + kN
- A - kN
- k + N
💡 Hint: Think about the structure of solutions.
Question 2
True or False: The Chinese Remainder Theorem guarantees a unique solution if the moduli share a common factor.
- True
- False
💡 Hint: Recall the conditions for application of CRT.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Demonstrate the application of the Chinese Remainder Theorem by forming and solving a system of congruences for a fictional age scenario.
💡 Hint: Set up equations reflecting given ages and moduli.
Question 2
Given the congruences x ≡ 1 (mod 6), x ≡ 5 (mod 9), and x ≡ 3 (mod 10), apply the CRT to find the smallest positive solution.
💡 Hint: Use the method of constructing equations based on defined remainders.
Challenge and get performance evaluation