The only thing I can say about this type of question is that it is used in psychological tests.

But here it has become apparent that there is a hidden Fibonacci sequence, and one cannot deny that this number sequence is deliberate.

Then it is not a matter of a figure sequence, but a matter hidden code.

This makes it a totally different kind of question: one which demands the search for a mathematical key. but this is not mentioned in the question itself.

If the questioned would mention that this sequence is written in code, then it would be more honest. ]]>

The color doesn’t change between the two members of a pair, neither does the outline. The first member of the pair is always small. And, if the first member is a square, the second member of the pair is a circle, and vice-versa. Therefore, a large green outlined circle must be preceded by a small green outlined square.

]]>Well, in a philosophical sense subjectivity is the only thing we know.

In a concrete sense, logic can be subjective but can also be objective.

Simple arithmetics show this objectivity, as well as conclusions based upon concrete premises.

It begins to get harder if the matter involves multiple factors, then concrete premises have to be found and weighed against each other.

Then you have a coherent set of premises, which emphasizes certain aspects and disregards others.

Here we have to complete a picture that consists of coherent and concrete patterns.

We must not forget that we can only use what the picture shows us if we want to make a valid conclusion.

Therefore we must ask ourselves which patterns are dominant.

It is well known that the shape outweighs all other factors in importance: if we draw a shape of a tree and colour it blue, if we make it small or large, we still call it a tree. It is the shape that determines the type of element.

Here in the picture, there is even a consistency in pairs of elements.

Size and colour are below the shape, and are more or less equal in weight (depending on the circumstances).

Here, the colours could be each others opposites, but the red colour could also be seen as a signaling colour for instance, to emphasize that the first two elements are a pair – which would be very dominant in the pattern in that case, as well as the repetition of this pair in green on the right side.

The borders are of the least importance because these do not change the essential aspects of each element.

Alan’s solution with the binary sytem is the only way the binary system can be applied without bias in what should be considered 1 or 0, and in which order you put the factors shape, size, colour an border.

Undoubtedly there is strong argument for a small red square without border, if you balance out the 1s and 0s (three of each), or if you draw a line in the middle where the left three elements are in every way the opposite of the right three elements, a kind of mirror that shows the inverse: border vs. borderless, red vs. green, large vs. small, and round vs. angular (not circle vs. square, because a square is not the opposite of a circle – then a triangle would be the opposite of a circle as well).

The odd thing about this ‘mirror’ solution is that it ignores the concrete shapes themselves, but instead handles the characteristics of these shapes: round versus angular as opposites.

Still, I prefer the small green bordered square, because it answers to the repeating patterns in pairs, which stand on themselves in the sequence, and have no dependence on the element which is asked for.

In other words: these patterns are self evident regardless of the question mark.

@Gary

Nifty solution, but how do you know what has to be 1, and what has to be 0?

E.g why is Small 1, and Large 0?

These self appointed binary numbers are not about what is actually shown in the picture.

It looks a bit like styling your own pattern so that something beautiful can be made of it. ]]>

I created the following scheme to solve it

Small = 1 Red = 1 Square = 1 Boarder = 1

Large = 0 Green = 0 Circle = 0 No Boarder = 0

Now set out the qualities in line as a binary number

This 1101 represents the first figure is Small, Red, Circle, with Boarder

and our sequence is

1101 = 13

0101 = 5

xxxx = ?

0001 = 1

1000 = 8

0010 = 2

This is the Fibonacci sequence out of order so

xxxx = 3

In binary

= 0011

using my scheme this is

Large, Green, Square, Boarder

Gary

PS this was a great puzzle thanks Tanya and Gregory

]]>On the other hand, searching for some antisymmetry, if we think that the “opposite” of red is green, that of square is circle, that of big is small and that of bordered is unbordered… we can think that the missing figure is small, red, unbordered square. In this case the three first figures are the symmetric-opposite of the other three.

Since there are two different, rather logical, criteria to choose small, red, unbordered square I am forced to choose it.

]]>3 lined Objects

3 Circles

3 Green Objects

3 Big Objects

2 Red Objects

2 Unlined Objects

2 Small Objects

2 Squares

So whats missing will be “Red Unlined small square”

]]>errrm.. from where?

my bedroom?

may car?

my life?

nothing is really specified!!..

but some standard coloured, standard shapes are presented!!

..is someone trying to tell me something here? ]]>