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The run of numbers below stops one term short of where it should. Discover the pattern and state the value the question mark conceals.
7, 45, 11, 41, 15, 37, ?

  • A.23
  • B.16
  • C.19
  • D.21

Answer: A

Correct answer: 19

Two series have been laid down alternately. The terms in the odd positions are 7, 11, 15, which rise steadily, and those in the even positions are 45, 41, 37, which fall. The missing term continues the first of these, giving 19. As a check, the answer differs from the term two places before it by 4, which is the step that strand has taken throughout. The rule is confirmed only when it reproduces every term shown, which is a stricter test than fitting the last pair.

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