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Insert the missing number 8, 24, 12, 36, 18, 54, (....)

  • A.27
  • B.108
  • C.68
  • D.72

Answer: A

The operations alternate between multiplying by 3 and halving.

\[ 8 \times 3 = 24,\quad 24 \div 2 = 12,\quad 12 \times 3 = 36,\quad 36 \div 2 = 18,\quad 18 \times 3 = 54 \]

\[ 54 \div 2 = \mathbf{27} \]

Continuing with a multiplication instead would give 162; the alternation is what makes the next step a division.

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