Page 4 – Reasoning (Syllogism)
Problem • Step-wise Logic • Venn Diagram Method
Q1. All A are B, All B are C → Conclusion: All A are C?
Step 1: Draw relation
A inside B, B inside C
Step 2: Connect chain
A → B → C
Step 3: Final relation
A is inside C
Answer: True
Trick: A ⊂ B ⊂ C → A ⊂ C
Q2. Some A are B, All B are C → Conclusion: Some A are C?
Step 1: Some A are B
Step 2: All B are inside C
Step 3: Overlap part of A & B goes into C
Answer: True
Trick: If part connects → conclusion possible
Q3. No A is B, Some B are C → Conclusion: Some A are C?
Step 1: A and B are separate
Step 2: Some B are C
Step 3: No direct relation between A and C
Answer: Cannot be determined
Trick: No direct link → no conclusion
Q4. All A are B, Some B are C → Conclusion: Some A are C?
Step 1: A inside B
Step 2: Some B are C
Step 3: No guarantee A overlaps with C
Answer: Cannot be determined
Trick: “Some” creates uncertainty
Q5. Some A are B, Some B are C → Conclusion: Some A are C?
Step 1: A overlaps B
Step 2: B overlaps C
Step 3: No sure overlap between A and C
Answer: Cannot be determined
Trick: Two “Some” → no definite conclusion
Important Rules
- All → definite relation
- Some → possible but not sure
- No → complete separation
Standard Patterns
All A are B + All B are C → All A are C ✔
Some A are B + All B are C → Some A are C ✔
Some + Some → No definite conclusion
Shortcut Tip
Think in diagrams, not sentences
Final Tip
Always check connection between terms before answering
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