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2017 AMC 12A Question 17

AMC12 · 2017 AMC 12A

Question 17

There are $24$ different complex numbers $z$ such that $z^{24}=1.$ For how many of these is $z^6$ a real number?
  1. $0$
  2. $4$
  3. $6$
  4. $12$
  5. $24$