Select the figure which satisfies the same conditions of placement of the dots…

In 'dot situation' figure problems, a problem figure encloses two dots inside a network of overlapping shapes (here a circle, a triangle and a square). Each dot occupies one particular kind of region — defined by exactly which shapes overlap to form it, for example a zone shared by only two of the three shapes. The matching answer figure must contain the SAME region types as the problem figure, not merely the same three shapes drawn differently.

1. Locate the two dot regions in Figure-X: one dot lies where the circle and the triangle overlap but the square does not reach (circle-triangle-only); the other dot lies where the square and the triangle overlap but the circle does not reach (square-triangle-only).

2. Check every alternative figure for BOTH of these region types existing at the same time.

3. In figure (2), the triangle overlaps only the circle; the triangle and the square never meet on their own, so no square-triangle-only zone exists.

4. In figure (3) and figure (4), the same gap repeats — the triangle's overlap with the square is never independent of the circle, so a square-triangle-only zone never forms.

5. Figure (1) is the only alternative where the triangle overlaps the circle in one zone and separately overlaps the square in another zone — giving both the circle-triangle-only region and the square-triangle-only region together.

Cross-check by removing one shape at a time from figure (1): taking away the square still leaves a circle-triangle overlap area, and taking away the circle still leaves a square-triangle overlap area — exactly the two independent overlaps Figure-X requires. Figures (2), (3) and (4) each fail at least one of these two checks.

• Figure (1): has both the circle-triangle-only region and the square-triangle-only region — matches Figure-X.

• Figure (2): the triangle overlaps only the circle; no independent square-triangle zone.

• Figure (3): the square-circle overlap dominates; the triangle only touches the circle, not the square alone.

• Figure (4): the triangle sits mostly outside the circle-square overlap; no independent square-triangle zone forms.

Hence, figure (1) reproduces the same dot-placement conditions as Figure-X.