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Find the missing number :

A circle divided into six equal sectors. Reading clockwise from the top, the sectors hold 8, 16, ?, 1, 2 and 4

  • A.8
  • B.24
  • C.30
  • D.32

Answer: D

The missing number is 32.

Reading clockwise from the sector holding 1, the numbers are 1, 2, 4, 8, 16 and then the blank: each number is double the previous one. So the blank is

\[ 16 \times 2 = 32 \]

which also completes the circle back to 1, since the six sectors hold the powers of 2 from \(2^{0}\) to \(2^{5}\). 24 is 16 + 8 (adding instead of doubling), and 8 and 30 do not continue the pattern.

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