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