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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is 7 mod 3?
💡 Hint: Think about how many times 3 can fit into 7.
Question 2
Easy
Explain what it means for two numbers to be congruent modulo N.
💡 Hint: Consider the definition of congruence.
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 result of 10 mod 3?
- 1
- 2
- 3
💡 Hint: Sit down and think about how many times 3 goes into 10.
Question 2
Is the statement '6 ≡ 2 (mod 4)' true?
- True
- False
💡 Hint: Calculate 6 mod 4 and see if it equals 2.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that if a ≡ b (mod N) and c is an integer, then a + c ≡ b + c (mod N).
💡 Hint: Rewrite a in terms of its congruence definition.
Question 2
Find all integers x such that 2x ≡ 1 (mod 3).
💡 Hint: Try small integers and check their congruence.
Challenge and get performance evaluation