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

Answer & explanation
Correct answer: option 3
The correct answer is Option (3) →
From each figure to the next, the flagpole turns 45° anticlockwise each time. So the next figure has the flagpole with the flag at its lower-right end.

Why the other options are incorrect
Option (1) — Incorrect. The flagpole is reversed: the flag is on the other side of its pole, so it is a mirror image of the right one.
Option (2) — Incorrect. The flagpole has turned 45° clockwise instead of anticlockwise.
Option (4) — Incorrect. The flagpole has not turned at all since the last figure.