CUET PG 2023 — Reasoning PYQ

1. First Pattern (Leaf Series)

This series follows a rotational logic involving the orientation of the leaves and the stem.

• Rotation Logic: The entire figure rotates 90° clockwise in each subsequent box.

  • Box 1 to Box 2: The figure rotates $90^{\circ }$ clockwise.

  • Box 2 to Box 3 (Missing): The figure must rotate another $90^{\circ }$ clockwise.

• Shading Logic: The shaded (black) leaf maintains its relative position to the unshaded leaf during the rotation.

• Mathematical Representation:

  $$\text{Angle of Figure }(n+1)=\text{Angle of Figure }(n)+90^{\circ }$$

The missing figure in Box 3 will have the stem pointing toward the top-right, with the white leaf pointing up and the black leaf pointing right.

2. Second Pattern (Diamond with Symbols)

This pattern tracks the movement of symbols and internal dividing lines within a diamond shape.

• Symbol Movement: The symbols (starting with '+', then '•', then '=') shift to the next quadrant in a clockwise direction.

• Symbol Change: Every two steps, the symbol changes (from $+$ to $\bullet$ to $=$).

• Line Rotation: The internal dividing line rotates by $45^{\circ }$ or $90^{\circ }$ clockwise in each step, changing the internal geometry of the quadrants.

• Mathematical Logic:

  $${\text{Symbol Position}}_n\to \text{Quadrant }(Q+1)(\mathrm{mod}4)$$

The next figure in the sequence will feature the '=' symbol moved from the right quadrant to the bottom quadrant, with the internal dividing line shifting accordingly.