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The numbers below advance according to a pattern you are asked to identify. Discover the pattern and state the value the question mark conceals.
5, 15, 23, 69, 77, ?

  • A.85
  • B.234
  • C.231
  • D.223

Answer: A

Correct answer: 231

The steps run 10, 8, 46, 8, which grow and then fall back, so a single operation cannot account for them. Two operations are applied in turn, and continuing the alternation from 77 gives 231. As a check, the step from 77 to the answer is 154, which breaks the run of preceding gaps exactly as an alternating rule demands. The difference between the two largest options is often the clue to which arithmetic slip they represent.

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