I found these puzzles on https://iqmentor.io, and could not figure out the solutions to them. Any thoughts?
I also posted this on Reddit. Including the link here in case you'd like to see more people's attempts:
https://www.reddit.com/r/cognitiveTesting/comments/11b8tiq/iqmentorio_what_are_the_patterns_in_these_3/
(In the Reddit post there was a third puzzle, which someone already posted a satisfactory solution to, so I did not include it here.)
1.
This seems somewhat similar to another problem whose solution is described in this video, (and in this video with visuals).
My thoughts:
Best I can come up with is that it's a topleft-botright diagonal sequence, with at most one of the corners moving sides across the horizontal bar, which would yield option 4 as the only answer, but that seems too weak of a pattern compared to the pattern of the puzzle in the video.
(Also, that pattern does not completely hold, because in cells 3-4-7, between 3-4 the white square moves to the top-left and is obscured by the black square, but then after the black square moves between 4-7, we should now see the white square in the top-left but we do not.)
2.
This seems like it should be similar to problem #35 in this video.
After putting the below together I realized I made an error, which I retroactively highlighted below, but including it anyway in case it inspires any ideas.
To get row 3, identify similarities between the items in both diagonals and combine the results. (Expressed using boolean logic, AND the lines in the pictures across the diagonals in rows 1 and 2, and OR the two results to get row 3.)
Here is a visualization for how this yields cell 8, how I mistakenly thought it yields cell 7, and what it would yield in cell 9:
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* There are three pairs of cells across each diagonal: topright-botleft diagonal pairs cells 1-6-8, 2-4-9, 3-5-7; topleft-botright diagonal pairs cells 1-4-9, 2-5-7, 3-4-8. Bottom row is arrived at by combining the results of similarities between the cells in rows 1 and 2 of its two diagonals.
* For cell 9 this logic would yield the same shape that is in cell 1, and that is not one of the choices.