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

Answer & explanation
Correct answer: option 4
The correct answer is Option (4) →
From each figure to the next, one side is added each time (3, 4, 5, 6 sides). So the next figure is a heptagon.

Why the other options are incorrect
Option (1) — Incorrect. The shape is a pentagon: a side is taken away instead of added.
Option (2) — Incorrect. The shape is an octagon: two sides are added instead of one.
Option (3) — Incorrect. The shape has not changed: it is still a hexagon, as in the last figure.