Practice Definition of Congruence - 7.4.2.1 | 7. Lecture - 55: Modular Arithmetic | Discrete Mathematics - Vol 3
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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 the division and what is left over.

Question 2

Easy

Is 8 congruent to 2 modulo 6?

💡 Hint: Perform the division and find the remainder.

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 6?

  • 2
  • 4
  • 1

💡 Hint: Divide 10 by 6 and think about what is left.

Question 2

True or False: If a ≡ b mod N, then a - b is divisible by N?

  • True
  • False

💡 Hint: Consider the definition of what it means for two numbers to be congruent.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Let a = 17 and b = 5, verify if both are congruent modulo 4 and explain your reasoning.

💡 Hint: Perform the modulo operation for both a and b.

Question 2

If a - b = 32 and b = 12, find a and check if it is congruent with any integer c under modulus 7.

💡 Hint: You first need to find a using the relationship and then find congruency with some examples.

Challenge and get performance evaluation