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