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Questions and Answers
If $a \equiv 3 \ (\text{mod} \ 5)$ and $b \equiv 4 \ (\text{mod} \ 5)$, what is $a + b$ in modular arithmetic?
If $a \equiv 3 \ (\text{mod} \ 5)$ and $b \equiv 4 \ (\text{mod} \ 5)$, what is $a + b$ in modular arithmetic?
- 7
- 2
- 8
- 3 (correct)
What is the result of $23 \times 17$ in modular arithmetic, where the modulus is 7?
What is the result of $23 \times 17$ in modular arithmetic, where the modulus is 7?
- 4 (correct)
- 5
- 2
- 0
What is the multiplicative inverse of 3 in modular arithmetic with modulus 11?
What is the multiplicative inverse of 3 in modular arithmetic with modulus 11?
- 9 (correct)
- 4
- 6
- 2
If $x \equiv 2 \ (\text{mod} \ 6)$ and $x \equiv 5 \ (\text{mod} \ 7)$, what is the smallest positive solution for $x$?
If $x \equiv 2 \ (\text{mod} \ 6)$ and $x \equiv 5 \ (\text{mod} \ 7)$, what is the smallest positive solution for $x$?
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