Practice Arithmetic Rules in Modular Arithmetic - 7.4.2.2 | 7. Lecture - 55: Modular Arithmetic | Discrete Mathematics - Vol 3
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Arithmetic Rules in Modular Arithmetic

7.4.2.2 - Arithmetic Rules in Modular Arithmetic

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is 15 mod 4?

💡 Hint: Subtract multiples of 4 from 15.

Question 2 Easy

Is 8 ≡ 2 mod 6 true or false?

💡 Hint: Check the difference between 8 and 2.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the result of 12 mod 5?

1
2
3
4

💡 Hint: Perform the division and find the leftover.

Question 2

6 ≡ 0 mod 3 is true or false?

True
False

💡 Hint: Consider the definition of congruence.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If a = 17, b = -5, and N = 6, find a * b mod N.

💡 Hint: Calculate the product first, then reduce using mod.

Challenge 2 Hard

Demonstrate, with a counterexample, that you cannot cancel terms in modular division.

💡 Hint: Find values where the terms are not congruent.

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Reference links

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