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IQ Octopus

Quantitative Reasoning · Hard · 1 of 16

Number Series puzzle #1 (hard)

Which number comes next? Tap an option to check your answer, or show the answer for the step-by-step solution. Rule in play: double plus a constant.

Plate 01 / 16 · Hard

Which number comes next?

7, 15, 31, 63, 127, ?

Tap the option you think is right, or show the answer.

Show the answer

The next number is 255 (option 5).

How to solve it

  1. Doubling gets close: 7 × 2 = 14, and the next number is 15.
  2. Each number is double the one before, plus 1.
  3. So the next number is 127 × 2 + 1 = 255.
Fig. 1: Number Series #1, hard set. Tap an option to check it.

About this puzzle

Hard series add the two previous numbers, double and add a constant, double the gaps, or alternate two operations. It was generated by the same engine that builds the IQ Octopus test, from a fixed seed, so it stays the same every time you visit. In the real test, items like this are generated fresh for every attempt.

New to this format? Read how to solve them, or time yourself on 10 in a row with the practice test.

25 puzzles · about 12 min

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