The problem figures below change by a fixed rule. Which option figure continues the series?

Answer & explanation
Correct answer: option 1
The correct answer is Option (1) →
Two things change from figure to figure: the shaded sectors move two places clockwise each time, and the black star moves to the next side anticlockwise each time. So the next figure has the two sectors between the top-left and top-right radii shaded and the black star at the middle of the top side.

Why the other options are incorrect
Option (2) — Incorrect. The black star is right, but the shaded sectors have moved two places anticlockwise instead of clockwise.
Option (3) — Incorrect. The shaded sectors are right, but the black star has not moved at all since the last figure.
Option (4) — Incorrect. The shaded sectors are right, but the black star has moved to the next side clockwise instead of anticlockwise.