Correct option is D
·
Conclusion I: "Some rhombuses are quadrilaterals."
From
Statement 1, we know that no quadrilaterals are polygons. From
Statement 2, all polygons are rhombuses. However, there is no information about whether any rhombuses are quadrilaterals. Since quadrilaterals and polygons are entirely distinct (from Statement 1), and polygons are a subset of rhombuses (from Statement 2), it does not necessarily follow that some rhombuses are quadrilaterals. Thus,
Conclusion I does not follow.
·
Conclusion II: "Some rhombuses are polygons."
From
Statement 2, we know that all polygons are rhombuses. This means that at least some rhombuses must be polygons (since polygons exist and are entirely contained within rhombuses). Therefore,
Conclusion II follows.