I found these in a sample iq-test for mensa. Any ideas?
For 37, the answer is:
The reason is:
Define a priority system where if there's multiple colors in a cell, the one with the highest priority is shown. If there's a tie in the priority, it alternates which one is shown on top. There are a few separate patterns here. The gray cells gradually fill the entire screen diagonally and has the highest priority (i.e. will cover any color below it). Across the 9 grids, the red cell is at the x-th position of the grid, where x is defined as follows:1 2 3 6 5 4 7 8 9There are 2 blue cells starting at the first and third position (in the first 4x4 grid the first blue cell is covered by the red) and moves forward 1 cell per grid. These 2 blue cells are to be treated separately, let's name them B1 and B2. For the priority of red, B1, and B2, they have the same priority, with red always being the first one to be shown. (Grid 1- Red > B1. Grid 3- B1 > Red. Grid 4- Red > B2. Grid 8- Red > B1. Hence for grid 9- B1 > Red) In grid 9, the blue cells will be at position 9 and 11. Since it's B1's turn to be on top, the answer is H.
Edit: The answer for 39 is:
The reason behind that is:
Within the same row, the left 2 columns shifts right by 1 column, and undergoes the substitution Triangle -> Square, Square -> Circle, Circle -> Triangle. The right column becomes the left column and does the same substitution, however, it is rotated down by one. i.e.1 3 2 -> 1 3 2Across different rows, (e.g. 3->4, 6->7) the pattern simply rotates clockwise.
Hence, the final answer is F.
I believe there is a less complicated explanation for #37:
The red and blue squares move one step to the right for each image. From the last column they move to the first column of the next row. They are hidden by the gray squares, and when hidden they change color (red/blue). The correct answer is F.