In the following questions, select a figure from amongst the four…

Concept: in this pattern-completion series, each quarter of the completed figure follows two positional rules relative to whichever corner of the whole figure it occupies — (1) a dot inside a small clipped corner always sits at that quarter's own OUTER corner, the corner lying on the boundary of the whole figure, and (2) a solid black portion always sits at that quarter's INNER corner, the corner touching the shared centre point — so the black portions from all four quarters combine into one single, unbroken black square exactly at the centre.

1. The top-right quarter of figure (X) follows this: its dot-in-clipped-corner sits at its own top-right corner (the outer boundary), and its black portion sits at its bottom-left corner (touching the centre).

2. The bottom-left quarter follows the same rule: dot-in-clipped-corner at its own bottom-left (outer) corner, black portion at its top-right (centre-touching) corner.

3. The bottom-right quarter follows it too: dot-in-clipped-corner at its own bottom-right (outer) corner, black portion at its top-left (centre-touching) corner.

4. Together these three black portions already form three sides of the central square, so the missing top-left quarter must supply the fourth side: its dot-in-clipped-corner must sit at its own top-left (outer) corner, and its black portion at its bottom-right (centre-touching) corner.

Cross-check: placing the figure that has its black block in the lower-right area and its dot-in-clipped-corner in the upper-left area into the blank reproduces a fully symmetric figure — a clipped, dotted corner at all four outer corners, and one unbroken black square exactly at the centre — exactly matching how the pattern must complete.

Answer: the figure with a solid black block in its lower-right area and a dot inside a clipped corner in its upper-left area.

• The figure with the black block in its upper-right area and a crossed-out dot in its lower-left area puts the black block away from the centre and marks its dot with a cross instead of the plain clipped-corner-dot used everywhere else — both placements are wrong for this corner.

• The figure with the black block in its upper-right area, a plain clipped corner (with no dot inside it) near the lower-right, and a separate loose dot puts the black block away from the centre and separates the dot from its own corner — both placements are wrong.

• The figure with the black block in its upper-left area and the dot-in-clipped-corner in its lower-right area has the two elements swapped to exactly the wrong corners for this slot — the black block should touch the centre, not the outer corner, and the dot-corner should sit on the outer boundary, not the centre.