Statements:

- Some circles are not triangle.
- Only a few squares are triangle.
- No rhombus is squares.

Conclusions:

I. All rhombus being triangle is a possibility.

II. Some squares can never be circles.

Which of the conclusions logically follows from the given statements?

Question

Statements:

- Some circles are not triangle.
- Only a few squares are triangle.
- No rhombus is squares.

Conclusions:

I. All rhombus being triangle is a possibility.

II. Some squares can never be circles.

Which of the conclusions logically follows from the given statements?

Accepted Answer

**Solution:**

1. From the statements:
   - Some circles are not triangles, so circles and triangles partially overlap but not completely.
   - Only a few squares are triangles, indicating a small intersection between squares and triangles.
   - No rhombus is a square, so rhombus and squares are completely separate.

2. Analyze Conclusion I: "All rhombus being triangle is a possibility."
   - Since there is no statement denying any relation between rhombus and triangle, it is possible that all rhombus can be triangles.
   - Hence, conclusion I is possible.

3. Analyze Conclusion II: "Some squares can never be circles."
   - Since some squares are triangles and some circles are not triangles, there is no direct information about the relation between squares and circles.
   - It is not necessary that some squares can never be circles; they might or might not overlap.
   - Therefore, conclusion II does not necessarily follow.

**Answer:** If only conclusion I follows.

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