Direction: Select a suitable figure from the four alternatives that would…

Concept: In a figure-matrix (series-completion) reasoning question, one visual attribute changes across the 3×3 grid according to a Latin-square rule — every row and every column must contain each possible state of that attribute exactly once. The missing cell is whichever state is absent from both its row and its column.

Application: Here the changing attribute is the circle's shading, which takes three states across the grid — a plain unshaded circle, a circle with its right half filled by vertical lines, and a circle with its top half filled by horizontal lines.

1. Row 3 already shows horizontal-line shading (its first cell) and an unshaded circle (its second cell), so vertical-line shading is the only state missing from this row.

2. Column 3 already shows an unshaded circle (row 1) and horizontal-line shading (row 2), so vertical-line shading is the only state missing from this column too.

3. Since both the row and the column point to the same missing state, the third cell of row 3 must be a circle with vertical-line (right-half) shading.

Cross-check: Every other row and column in the grid already contains all three shading states exactly once, confirming the grid is a completed Latin square in this attribute — so no state other than vertical-line shading can be placed here without repeating a state already used in row 3 or column 3.

Answer: the figure with vertical (right-half) line shading completes the matrix.