Sequence of boxes with arrows in the corners

Question

This was a puzzle given "graduatetrader.com".
I don't have its answer but it wasn't E as per them.
If you can find some pattern please help me.
I found one pattern by giving numbers to each arrows: 1 to 4
Then number way to select a pair for any fixed diagonal(or any pair lets say right bottom and top etc) is 4C2=6
So only remaining item will give a solution, but it isn't in options.

SeanC · Answer

I would choose E as the correct answer, as it's the only option out of the possibilities that returns you to the same square on a grid when all 4 moves are taken. Every other option puts you in a different ending square.

Jens · Answer

Here is an answer which is at least consistent and has only one answer among the choices (which is not E).

Sequence of boxes with arrows in the corners

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