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Consider the following :

A square cut by its two diagonals and its two midlines into eight triangles holding the numbers 41, ?, 16, 40, 42, 14, 35 and 21 clockwise from the top left

Find the missing number.

  • A.12
  • B.13
  • C.14
  • D.15

Answer: D

The missing number is 15.

The diagonals and midlines cut the square into eight triangles, which pair up along each side of the square: the two triangles touching the same side add up to the same total.

  • Left side: 21 + 35 = 56
  • Bottom: 14 + 42 = 56
  • Right side: 16 + 40 = 56
  • Top: 41 + ? = 56

So the missing number is 56 - 41 = 15. The other options give top totals of 53, 54 and 55, which break the pattern.

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