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