Question 1
Statements:
All reliable are valuable.
Some valuable are beautiful.
No beautiful is a essential.
Conclusions:
I. Some reliable are not essential.
II. Some valuable are not essential.
III. No essential is a beautiful.
Step-by-Step Analysis:
Statement 1: All reliable are valuable → reliable inside valuable
Statement 2: Some valuable are beautiful → valuable and beautiful overlap
Statement 3: No beautiful is a essential → beautiful and essential separate
Checking Conclusions:
✗ Conclusion I: "Some reliable are not essential"
Cannot determine relationship between reliable and essential - NOT PROVEN
✓ Conclusion II: "Some valuable are not essential"
Some valuable are beautiful (given) + No beautiful is essential (given)
Those valuable which are beautiful cannot be essential - FOLLOWS
✓ Conclusion III: "No essential is a beautiful"
Conversion of "No beautiful is a essential" - FOLLOWS
Answer: Conclusions II and III follow
Statement 1: All reliable are valuable → reliable inside valuable
Statement 2: Some valuable are beautiful → valuable and beautiful overlap
Statement 3: No beautiful is a essential → beautiful and essential separate
Checking Conclusions:
✗ Conclusion I: "Some reliable are not essential"
Cannot determine relationship between reliable and essential - NOT PROVEN
✓ Conclusion II: "Some valuable are not essential"
Some valuable are beautiful (given) + No beautiful is essential (given)
Those valuable which are beautiful cannot be essential - FOLLOWS
✓ Conclusion III: "No essential is a beautiful"
Conversion of "No beautiful is a essential" - FOLLOWS
Answer: Conclusions II and III follow