Which of the option figures will take the place of the question mark and continue the series?

Answer & explanation
Correct answer: option 2
The correct answer is Option (2) →
Two things change from figure to figure: the shaded triangle moves two places anticlockwise each time, and the black square moves three places clockwise round the edge of the box each time. So the next figure has the upper-right triangle shaded and the black square at the bottom-right corner.

Why the other options are incorrect
Option (1) — Incorrect. The shaded triangle is correct, but the black square has moved three places anticlockwise instead of clockwise.
Option (3) — Incorrect. The black square is correct, but the shaded triangle has moved two places clockwise instead of anticlockwise.
Option (4) — Incorrect. The shaded triangle is correct, but the black square has not moved at all since the last figure.