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CSS Pure Mathematics QUESTION #4112
Question 1
In $\mathbb{Z}_{18}$, what is the order of the cyclic subgroup generated by element $6$?
  • $2$
  • $3$✔️
  • $6$
  • $9$
Correct Answer Explanation
Order of $\langle 6 \rangle = \frac{18}{\gcd(6,18)} = \frac{18}{6} = 3$.