Question 1
Statements:
No utensils is a machines.
All machines are vehicles.
Conclusions:
I. No utensils is a vehicles.
II. Some vehicles are not utensils.
Venn Diagram Method:
Step 1: "No utensils is a machines" → Circles of utensils and machines don't overlap
Step 2: "All machines are vehicles" → Circle of machines completely inside vehicles
Step 3: utensils is separate from machines, but vehicles may overlap with utensils
Analytical Method (E + A = O*):
No utensils is a machines (E) + All machines are vehicles (A) = Some vehicles are not utensils (O*)
Verification:
✗ Conclusion I: "No utensils is a vehicles" - DOES NOT FOLLOW (vehicles circle is larger and can overlap with utensils)
✓ Conclusion II: "Some vehicles are not utensils" - FOLLOWS (the part of vehicles containing machines doesn't contain utensils)
Answer: Only conclusion II follows
Step 1: "No utensils is a machines" → Circles of utensils and machines don't overlap
Step 2: "All machines are vehicles" → Circle of machines completely inside vehicles
Step 3: utensils is separate from machines, but vehicles may overlap with utensils
Analytical Method (E + A = O*):
No utensils is a machines (E) + All machines are vehicles (A) = Some vehicles are not utensils (O*)
Verification:
✗ Conclusion I: "No utensils is a vehicles" - DOES NOT FOLLOW (vehicles circle is larger and can overlap with utensils)
✓ Conclusion II: "Some vehicles are not utensils" - FOLLOWS (the part of vehicles containing machines doesn't contain utensils)
Answer: Only conclusion II follows