Modular Arithmetic Quiz
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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:
- 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:
- 3.
What's 10 - 31 (mod 7)?
Explanation
Note that 0 and 7 are the same modulo 7.Rate this question:
- 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:
- 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:
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Current Version
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Mar 01, 2024Quiz Edited by
ProProfs Editorial Team -
Dec 02, 2011Quiz Created by
Bryceg