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Hi there,
This is indeed an interesting question which is probably relevant for quite a lot of users, so I am happy to provide my perspective on it:
First of all, I would advise you to have a second look at the SHL test set since normally, there always is the solution displayed.
Secondly, from my perspective, there might be solely one correct option which is option D. The grey arrow is like an hour hand indicating the number of of sides (here: 5). The black arrow points upwards for black shapes (here) and downwards for grey shapes.
In case you want a more detailed discussion on how to best prepare abstract reasoning tests, please feel free to contact me directly.
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The answer is D, but this is a badly written question. You have more non-binary independent variables (the arrows direction), and two dependent variables, where one is binary and the other isn't.
So it's clear that the direction of the gray arrow represents the number of sides of the shape (pointing to the clock hours). However the back arrow has 3 different positions, which should be impacting the shape color. Since the direction is the same as in example one, the color should be the same - black.