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Given below are two statements, followed by two conclusions, I and H. You have to consider the statements to be true even if they seem to be at varian
Question

Given below are two statements, followed by two conclusions, I and H. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow(s) from the given statements.
Statement 1: No quadrilaterals are polygons.
Statement 2: All polygons are rhombuses.
Conclusion I: Some rhombuses are quadrilaterals.
Conclusion II: Some rhombuses are polygons.

A.

Only conclusion I follows

B.

Only conclusion II follows

C.

Neither I nor II follows

D.

Both I and II follow

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.

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