# 8 IQ test questions - colored boxes, shapes, lines

I recently took an IQ test with 50 questions of visual standard, 42 of which I got right. However, these are the 8 that I was unable to resolve. What do these pictures have in common?

The source is the book "Improve Your IQ: Over 500 Mind-Bending Puzzles"

Author: Deborah Hercun
Publisher: Marco Zero

• Posting a large portion of a puzzle collection seems to be skirting dangerously close to copyright infringement. Posting one puzzle, with attribution, could be argued to be permissible under "fair use" or "doesn't constitute a 'work'" clauses in most copyright laws. A collection of 8 puzzles, I'm not so sure. IANAL, of course.
– Bass
Commented Nov 13, 2020 at 13:24

Top Row

First Question

I think the answer is 4. In each row, consider the vertical bar of three blue squares moving horizontally in one direction and the single blue square moving in the opposite direction (also it's the only image with three vertical blue squares, like the others)

Second Question

Number 2. In each row, the third image is the XOR of the other two.

Third Question

Number 3. In each row if we combine all the images, we get the same total image.

Fourth Question

Number 4. In each row, the third image is the first image either rotated or diminished (dependent on the second image), in the last row it's both.

Bottom Row

First Question

Number 2. In each row, imagine one of the squares moving diagonally up and to the left and the other up and to the right (where the image wraps around like a torus)

Prince DeepThinker: Number 3. In each row, if you overlap the three images, you obtain an image which has exactly four blue squares which, if you colour the underlying grid like a chessboard, are all on white squares or all on black squares.

Matias Stachowski: Number 5. Both tiles move down and to the left with the exception of when they meet the left edge where they also move one square up (effectively just move left if they are at the left edge and the image wraps around).

SpiritFryer has given a perhaps cleaner explanation of the same idea. That is, in each row, "each square moves 2 slots forward (wrapping to the start of the next row)"

Third Question (three possible answers with sensible reasoning)

Number 3. In each row, the third image is just the first image rotated 90 degrees clockwise.

PrinceDeepthinker: Number 1. Each row has one image with three blue squares and two images with four blue squares.

Matias Stachowski has given a nice visualisation of each row: Each row has a turning line and an independent dot. The lines turn 45 degrees counter clockwise, and the individual dot has a pattern following the lines. The conclusion is that the answer could be 1,3 or 6 depending on how one visualises it. I see this leading to 3 but Matias has given convincing reasoning how one could also conclude 6 as the answer.

Fourth Question (solved by PrinceDeepthinker)

Number 3. In each row, the third image represents the squares which have not been coloured in the first two images.

• Hexomino for question first top I think it is 4 because the logic is that if you overlap of the tiles from each row, you get a complete blue square. The bottom second question is 3 because if they all overlap per row you will generate only 4 blue squares. The bottom third is 1 because each row has a tile with 3 blue squares and 2 with 4. The last one on the bottom is 3 for the same reason as the first top.
– PDT
Commented Nov 13, 2020 at 10:15
• @PrinceDeepthinker Sorry, the question was updated with two extra images since I last looked. I think your answers are correct for the new images. I will leave my logic for top 1 as it is because it also explains the position of the lone square. I'm not sure if I agree with bottom 3 but will edit to present both versions. Commented Nov 13, 2020 at 10:29
• Q6: (bottom #2) I think It's answer 5. Consider the rows individually. Each tile moves down+left, but with an exception on the left edge where they will also move 1 up. I think it's simpler and more obvious than the chess solution Commented Nov 13, 2020 at 10:44
• @MatiasStachowski That also seems reasonable, will edit in. Commented Nov 13, 2020 at 10:55
• That is annoying that there are multiple legitimate solutions.
– PDT
Commented Nov 13, 2020 at 11:07