# test-iq.org problem - rotated, half-colored circles

I am trying to solve this problem from test-iq.org's free demo IQ test. This is the question:

I did not find out a pattern of how the shapes semicircle moves. Any help is appreciated. Thanks.

• mccraft123456 this question has nothing to do with how the semicircles move Oct 31, 2020 at 1:14
• I can do look at my answer!
– PDT
Oct 31, 2020 at 5:41

It looks like

each row and column has:
- one ─ with the top colored - one ╱ with the top-left colored, and
- one │ with the left colored.
Also, each time, one of the colors is dark blue, one is light blue, and one is white. So the missing shape is a horizontally-divided circle with a light blue top half, which is D.

• Deusovi, but a light blue horizontally-divided circle can also be B, as B is also a light blue horizontally-divided circle. Oct 31, 2020 at 1:59
• @pilotjoker999 Good point! I saw that ambiguity it but figured it was obvious how to clear it up -- it's probably better to be explicit though.
– Deusovi
Oct 31, 2020 at 2:01

I think this is a more water tight anwer:

The solution is D and this is because that there are 3 original shapes: the one in the top right, bottom middle and middle right. Now the rule is that each of these shapes within the matrix will rotate twice clockwise and each time at a 45 degree angle and each time it does so it will produce a new shape, resulting in two more shapes. The only one in the matrix that has only done it once is top left producing only one shape, and so the solution is of it doing it twice is D.

For those who still cannot follow me:

If we number the tiles from 1-9, left to right top to bottom the sequence goes where each the shape in each number, where in each consecutive number the shape rotates 45 degrees clockwise:

8 - 3 - 4

6 -7 - 2

1 - 5 - 9(the answer)

• I think this is answer explains the ambiguities the best.
– PDT
Oct 31, 2020 at 5:39