TEZPUR 2025 — Reasoning PYQ

The correct answer is (b).

To solve this series, we observe the movement of the black circles within the grid. Let's denote the positions of the black circles as a set $P$ and the total number of black circles as $N=4$.

By tracking the rotation of the black circles in each step:

1. Step 1 to 2: The black circles rotate $90^{\circ }$ clockwise.

2. Step 2 to 3: The black circles rotate another $90^{\circ }$ clockwise.

3. Step 3 to 4 (Next Figure): Following the established pattern of consistent $90^{\circ }$ clockwise rotation, the black circles will move to the position shown in option (b).

We can represent the rotation $R$ of the position of the black circles $P$ as:

$$P_{n+1}=R_{90^{\circ }}(P_n)$$

Where $P_n$ is the configuration at step $n$. Following this recursive relation, the next configuration is:

$$P_4=R_{90^{\circ }}(P_3)$$