**Statements:**

- Only square is triangle.
- Only a few rhombus is sphere.
- Some sphere is square.

**Conclusions:**

I. Some triangle is not rhombus.

II. All rhombus can never be sphere.

**Question:**

Based on the above statements, which of the following conclusions logically follow?

Question

**Statements:**

- Only square is triangle.
- Only a few rhombus is sphere.
- Some sphere is square.

**Conclusions:**

I. Some triangle is not rhombus.

II. All rhombus can never be sphere.

**Question:**

Based on the above statements, which of the following conclusions logically follow?

Accepted Answer

**Solution:**

1. Analyze the first statement: "Only square is triangle."
   - This means every triangle is a square, but not every square is a triangle.

2. Analyze the second statement: "Only a few rhombus is sphere."
   - This implies some rhombus are spheres, but not all.

3. Analyze the third statement: "Some sphere is square."
   - This means there is some overlap between sphere and square.

4. Evaluate Conclusion I: "Some triangle is not rhombus."
   - Since all triangles are squares (from statement 1), and only some rhombus are spheres (statement 2), and some spheres are squares (statement 3), it is possible that some triangles (which are squares) do not overlap with rhombus.
   - Hence, conclusion I logically follows.

5. Evaluate Conclusion II: "All rhombus can never be sphere."
   - Statement 2 says only a few rhombus are spheres, meaning not all rhombus are spheres.
   - Therefore, it is correct that all rhombus can never be spheres.
   - Hence, conclusion II also logically follows.

**Answer:** Both conclusions I and II follow.

Answer

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