In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusion(s) logically follows/follow from the statements.

Statements:

All chairs are sofas.

Some chairs are beds.

No sofa is a table.

Conclusions:

I. Some tables are beds.

II. No table is a chair.

III. Some sofas are beds.

Correct Answer: Both conclusions II and III follow

Step-by-step Explanation:

Let us analyze the given statements and conclusions step-by-step using logical deductions.

Given Statements:

1. All chairs are sofas.

2. Some chairs are beds.

3. No sofa is a table.

Evaluating Conclusions:

Conclusion I: Some tables are beds.

From the statements, there is no direct or necessary connection established between 'tables' and 'beds'. Thus, Conclusion I does not logically follow.

Conclusion II: No table is a chair.

Statement 1 tells us that "All chairs are sofas", and Statement 3 tells us that "No sofa is a table". Since every chair is entirely inside the category of sofas, and no sofa can be a table, it strictly follows that no chair can be a table (or "No table is a chair"). Therefore, Conclusion II logically follows.

Conclusion III: Some sofas are beds.

Statement 2 tells us that "Some chairs are beds", and Statement 1 tells us that "All chairs are sofas". The portion of chairs that are beds must also be sofas. Therefore, it logically follows that "Some sofas are beds". Thus, Conclusion III logically follows.

Conclusion:

Only conclusions II and III logically follow from the given statements.