Practice Division in Modular Arithmetic - 7.4.3.3 | 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

Calculate 10 mod 3.

💡 Hint: Think about dividing 10 by 3 and looking for the remainder.

Question 2

Easy

What is -7 mod 5?

💡 Hint: Adjust -7 into the positive range before calculating the mod.

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 does 'a ≡ b (mod N)' mean?

  • a is greater than b
  • a and b give the same remainder when divided by N
  • a is divisible by N

💡 Hint: Think about the remainder from the division.

Question 2

True or False: Division in modular arithmetic can always be performed.

  • True
  • False

💡 Hint: Reflect on what happens when you divide numbers.

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Challenge Problems

Push your limits with challenges.

Question 1

Given a = 17, b = 5, and N = 6, perform the operation a - b and then find the modulo.

💡 Hint: First perform the subtraction, then apply modulo.

Question 2

Can you determine the conditions under which modular division is valid if a = 15, b = 5, and N = 8?

💡 Hint: Check if the divisor b is invertible mod N.

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