Which figure from the options comes next in the series of problem figures given below?

Answer & explanation
Correct answer: option 1
The correct answer is Option (1) →
Two things change from figure to figure: the half-shaded circle turns 135° anticlockwise each time, and the plus sign moves three places anticlockwise round the edge of the box each time. So the next figure has the half-shaded circle with the shaded half towards the bottom and the plus sign at the top-left corner.

Why the other options are incorrect
Option (2) — Incorrect. The half-shaded circle is correct, but the plus sign has moved three places clockwise instead of anticlockwise.
Option (3) — Incorrect. The plus sign is correct, but the half-shaded circle has not turned at all since the last figure.
Option (4) — Incorrect. The half-shaded circle is correct, but the plus sign has not moved at all since the last figure.