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Modular Arithmetic Problems
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Modular Arithmetic Problems

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@TimeHonoredWillow

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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?

  • 7
  • 2
  • 8
  • 3 (correct)
  • 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?

  • 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 $x$?

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