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Looking at all the Mensa IQ test puzzles, usually there are two rows with in total 6-8 symbols and where you need to choose the last one properly to match the pattern.

I wonder whether at least a bit difficult puzzle of the same principle could be made just with 3 or 4 symbols, meaning you actually see just 2 or 3 of them, respectively, and need to fill in the last one.

If so, what would be an example of a logic or pattern for these?

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    $\begingroup$ I believe you might mean Mensa IQ test puzzles, and talking about what puzzles these in particular are called, I think they are called progressive matrices (or Raven matrices, I don't know). I'd have to do some more research on this, so for now, this comment is just what I think. Edit: See here. $\endgroup$ – Feeds Apr 23 at 10:49
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Here are three puzzles with $3$ visual images, each being $2\times 2$ Raven matrices:

This last one is a little more unique, but quite easy like the previous ones:

I cannot find such a puzzle with just $2$ visual designs. I guess it is unlikely because the more objects there are in the puzzle, the more specific the pattern. Like, I might have the sequence $2$, $3$. You might think the next number is $4$. But the answer is actually $5$ (the sequence is just prime numbers, and not numbers ascending by $1$, though how were you supposed to know that from just two terms?).

Hence why the puzzles shown in this answer have a clear and obvious pattern, and thus very trivial and not challenging.

That's just my two cents.

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