Practice Arithmetic Rules of Modular Arithmetic - 7.4.3 | 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 18 mod 5?

💡 Hint: Find how many times 5 fits into 18, and what’s left over.

Question 2

Easy

Calculate (4 + 6) mod 5.

💡 Hint: Add the numbers first, then find the remainder when divided by 5.

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 9 mod 4?

  • 1
  • 2
  • 3

💡 Hint: Perform the division and find the leftover.

Question 2

Is division always defined in modular arithmetic?

  • True
  • False

💡 Hint: Think about how division handles negative or smaller numbers in the modulus.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using the square-and-multiply algorithm, find 7^23 mod 5.

💡 Hint: Convert the exponent to binary first.

Question 2

Provide a real-world application of modular arithmetic in cryptography.

💡 Hint: Think about how encrypting messages requires specific math operations that secure them.

Challenge and get performance evaluation