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SSC Pure Mathematics QUESTION #11210
Question 1
Order of the Sylow-2 subgroup of $Q_8$ is:
  • $1$
  • $2$
  • $4$
  • $8$✔️
Correct Answer Explanation
$Q_8$ has order 8. A Sylow-2 subgroup has order $2^3 = 8$ (the full group, since $|Q_8| = 8 = 2^3$). Therefore the Sylow-2 subgroup is $Q_8$ itself, with order $\mathbf{8}$.