# Sequence of boxes with arrows in the corners

This was a puzzle given "graduatetrader.com". I don't have its answer but it wasn't E as per them.

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.

• One thing is pretty obvious: all squares in the top row have one of each arrow. Among the options only E obeys that rule. If E is not the intended answer then the puzzle is badly designed. I would even consider E is the answer but there is mistake in the problem statement or in the solution sheet. Nov 11 '20 at 19:20

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.

• Sadly its not E. Nov 10 '20 at 14:47

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

If you look at which arrows are in each corner in the five given squares you get this:

Notice that in each corner exactly one arrow is repeated and that no corner has the same repeated arrow.

If we now assume that the missing square must add one and only one additional new repeated arrow to each corner (so no corner has 3 repeated arrows), there is only one answer that fits.

B doesn't work as it would add a third down arrow to the upper right corner. D and E don't work as they would add a third left arrow to the bottom right corner. C doesn't work as it would add a third right arrow to the bottom left corner.

But A works!

• I mean its an abstract answer that would fit if its not specified as a sequence but still great insights. Nov 12 '20 at 3:32