On the four-by-four boards the orange cell moves two cells clockwise round the edge and the blue cell moves one cell anticlockwise. Which board breaks the rule?

Following the edge clockwise from the top-left corner, the orange cell should be at places 1, 3, 5, 7, 9 and the blue cell should step back one place each time. In (c) the orange cell has moved three places (to the third cell down the right edge) instead of two, so (c) is wrong; (d) and (e) are correct.