Reasoning – Syllogism Advanced (Venn Diagrams, Possibility Cases & Tricks)
In advanced syllogism, questions are based on possibility, negative statements, and logical combinations. Understanding Venn diagrams is key to solving these quickly.
Venn Diagram Approach
- Draw circles for each group
- Show overlap for "Some"
- Separate for "No"
Tip: Always visualize before concluding.
Possibility Cases
If a conclusion is not definite but possible, it is considered True (Possibility).
Example:
All A are B
All B are C
Conclusion: Some A are C → True (Possible)
Negative Statements
- No A is B → No overlap
- Some A are not B → Partial exclusion
Tip: Negative conclusions need careful checking.
Important Patterns
- All + All → Strong conclusion
- Some + Any → Weak conclusion
- No + Some → Negative case
Example Questions
Q1:
All A are B
Some B are C
Conclusion: Some A are C?
Answer: Cannot be determined
Q2:
No A is B
Some B are C
Conclusion: Some A are C?
Answer: Cannot be determined
Exam Tricks
- Do not assume anything extra
- Focus only on given statements
- Check each conclusion independently
Practice Questions
Q1: All A are B, No B is C → Some A are C?
Q2: Some A are B, Some B are C → Some A are C?
Answers
Q1: False
Q2: Cannot be determined
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