Question 1
Statements:
Only furniture are utensils.
All utensils are appliances.
Conclusions:
I. All furniture are appliances.
II. Some appliances are furniture.
Understanding 'Only' Statement:
"Only furniture are utensils" means "All utensils are furniture" (reversal!)
Conversion:
Original: Only furniture are utensils
Converted: All utensils are furniture
Venn Diagram:
Step 1: "All utensils are furniture" → utensils inside furniture
Step 2: "All utensils are appliances" → utensils inside appliances
Step 3: utensils inside both furniture and appliances
Checking Conclusions:
✗ Conclusion I: "All furniture are appliances"
We only know utensils is inside both - furniture could be larger - DOES NOT FOLLOW
✓ Conclusion II: "Some appliances are furniture"
All utensils are furniture and all utensils are appliances
The utensils portion is common to both - FOLLOWS
Answer: Only conclusion II follows
"Only furniture are utensils" means "All utensils are furniture" (reversal!)
Conversion:
Original: Only furniture are utensils
Converted: All utensils are furniture
Venn Diagram:
Step 1: "All utensils are furniture" → utensils inside furniture
Step 2: "All utensils are appliances" → utensils inside appliances
Step 3: utensils inside both furniture and appliances
Checking Conclusions:
✗ Conclusion I: "All furniture are appliances"
We only know utensils is inside both - furniture could be larger - DOES NOT FOLLOW
✓ Conclusion II: "Some appliances are furniture"
All utensils are furniture and all utensils are appliances
The utensils portion is common to both - FOLLOWS
Answer: Only conclusion II follows