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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate 12 mod 5.
💡 Hint: Think about how many times `5` fits into `12`.
Question 2
Easy
What is 9 mod 4?
💡 Hint: Consider the remainder when you divide `9` by `4`.
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
If 8 ≡ x (mod 5) and x = 3, what is true?
- True
- False
💡 Hint: Consider how both numbers interact with `5`.
Question 2
In modular arithmetic, a + b (mod N) is equivalent to:
- a + b
- a mod N + b mod N
- a + b + N
💡 Hint: Revisit how remainders are calculated.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Explore the implications of 15 ac ≡ 5 bc (mod 10). Under what conditions can 'c' be cancelled from both sides?
💡 Hint: Consider when numbers become zero mod 10.
Question 2
Demonstrate the failure of division in modular arithmetic by finding values of a and b such that a/b (mod 8) yields an invalid conclusion.
💡 Hint: Explore values that don’t yield clean divisions.
Challenge and get performance evaluation