Modular Arithmetic Quiz

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Bryceg

Bryceg

Community Contributor

Quizzes Created: 2 | Total Attempts: 4,450

Questions: 5 | Attempts: 1,860 | Updated: Mar 1, 2024

Quiz yourself on modular arithmetic facts.

Questions and Answers

1.

What's 4 + 5 (mod 7)?

Explanation
The question is asking for the sum of 4 and 5 modulo 7. Modulo, denoted by the symbol %, calculates the remainder after division. So, when we divide 9 (4 + 5) by 7, the remainder is 2. Therefore, the correct answer is 2.

Rate this question:

6
4 0
2.

What's 13 + 30 (mod 4)?

Explanation
The expression "13 + 30 (mod 4)" means that we need to find the remainder when the sum of 13 and 30 is divided by 4. When we add 13 and 30, we get 43. When 43 is divided by 4, the remainder is 3. So the answer is 3.

Rate this question:

2
4 0
3.

What's 10 - 31 (mod 7)?

Explanation
Note that 0 and 7 are the same modulo 7.

Rate this question:

1
4 0
4.

What's 14 * 2 (modulo 5)?

Explanation
The expression "14 * 2 (modulo 5)" is asking for the remainder when 14 multiplied by 2 is divided by 5. When we calculate 14 multiplied by 2, we get 28. And when we divide 28 by 5, the remainder is 3. Therefore, the correct answer is 3.

Rate this question:

2
4 0
5.

What's 3 * 7 (mod 5)?

Explanation
When we say "3 times 7 (mod 5)", we're basically asking what's the remainder when we divide 3 times 7 by 5.
So, we multiply 3 by 7, which is 21. Then, we divide 21 by 5. The result is 4 with a remainder of 1.
That means, when we divide 3 times 7 by 5, the remainder is 1.

Rate this question:

0
4 0

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Mar 01, 2024

Quiz Edited by
ProProfs Editorial Team
Dec 02, 2011

Quiz Created by
Bryceg

Modular Arithmetic Quiz

What's 4 + 5 (mod 7)?

What's 13 + 30 (mod 4)?

What's 10 - 31 (mod 7)?

What's 14 * 2 (modulo 5)?

What's 3 * 7 (mod 5)?