I found this question while doing an official Mensa practice test. Please fill in the bottom right blank window with one of the 6 possible answers depicted below the horizontal line.enter image description here

  • $\begingroup$ are there any rules? $\endgroup$ – Jasen Jul 31 '16 at 1:48

I think it is

the right one in the top row.


there are three basic shapes on the 9 images: the circle (top row middle), the triangle (second row middle), and the U-shaped thingy (second row right).
They all appear in three forms:
1. the basic variation

2. a version in which the basic shapes right and left sides are swapped
- two facing half circles
- the rotated K
- and the upside-down T

3. and a variation in which their right half is rotated 180 degrees
- the CC-looking stuff
- the bottom middle one
- and... the one that is missing, so it must be a half U followed by the otherhalf of the half U, rotated upside down

  • 1
    $\begingroup$ One hypothetical problem would be that the first row, first square could be the "base" design for the U-shaped thingy, and then the U itself would be the second version, then the answer would be a 180° rotation of your selected answer...but that's not a choice. $\endgroup$ – Dan Russell Jul 28 '16 at 17:23
  • $\begingroup$ not convinced, seems the (( sshould be )) why prefer the triangle over the "dead" K $\endgroup$ – Jasen Jul 31 '16 at 1:27
  • $\begingroup$ the CC is fine, I think, please check it once more. My idea does not work with the the dead K chosen as a basic shape, but works with the triangle, that's why I chose that one. I've been designing Raven-like puzzles for standardized IQ test questions, and I'm aware of the rules behind their solution. This one seems like a question with the idea of 'distribution of 3 values', but the placement of the tiles is a little bit strange indeed. I can accept if you think my idea is a stretch. [to be continued] $\endgroup$ – elias Jul 31 '16 at 5:01
  • $\begingroup$ [cont.] Being part of an official Mensa test suggests that this is a high quality matrix question, which should 100 percently fit to the mentioned rules. When you were filling the test, was this the only 'strange' question? Are you convinced this is a standard, official question from Raven? How was the overall quality of the test? $\endgroup$ – elias Jul 31 '16 at 5:03
  • $\begingroup$ @elias this question is part of a practice test which can be found on the official mensa - Greece website. $\endgroup$ – Alexandros Jul 31 '16 at 19:57

An answer that's at least plausible is

enter image description here

There are three groups of shapes, the circle thingies, the triangle thingies, and the squarish thingies.

To go from the first-row shape to the second-row shape, you

halve the picture vertically, then swap the halves.

To go from the first-row shape to the third-row shape, you

halve the picture vertically, flip the left half vertically, the right half horizontally, then flip the whole thing horizontally.


I think the answer is:

[enter image description here


A = Shape1
B = Shape2
If you rotate B, the line goes up.
If you rotate A, the line goes bottom.
Remove the triangle from A and add line in A in B.
It becomes the solution.

  • 1
    $\begingroup$ Please explain why you think this is the answer. $\endgroup$ – f'' Jul 28 '16 at 16:58
  • $\begingroup$ I did it, Can anyone hide my box? $\endgroup$ – Ronronner Jul 28 '16 at 17:32
  • $\begingroup$ I don't understand why you think A and B are related. $\endgroup$ – Jasen Jul 31 '16 at 1:30

There does not seem to be a clear and/or simple answer, but I believe that it is

option 3, since the right second horizontal row contains part of a shape. If you cut the right half and turn it 180 degrees, and keep the other half preserved, you will get option 3.

  • $\begingroup$ Weight never mind I have a better explanation. This works for every shape between the 2nd and 3 rd row. Swap the sides, horizontally flip the right side and vertically flip the left side. The answer is solution 3. $\endgroup$ – Nick Jul 30 '16 at 19:43
  • $\begingroup$ only works given that "horizontally flip" is ambiguous is it b to d or b to p you seem to be using the term both ways. $\endgroup$ – Jasen Jul 31 '16 at 1:38

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