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The series below can be extended once the rule behind it is found. Discover the pattern and state the value the question mark conceals.
4, 90, 10, 81, 16, 72, ?

  • A.22
  • B.28
  • C.31
  • D.14

Answer: C

Correct answer: 22

Two series have been laid down alternately. The terms in the odd positions are 4, 10, 16, which rise steadily, and those in the even positions are 90, 81, 72, which fall. The missing term continues the first of these, giving 22. As a check, the answer differs from the term two places before it by 6, which is the step that strand has taken throughout. Each strand here is an ordinary arithmetic progression; only the interleaving makes the series look difficult.

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