Reasoning – Logical Venn Diagrams
What are Logical Venn Diagrams?
They represent logical relationships between different categories or sets using overlapping circles. You must identify the correct diagram for given terms or analyze statements.
Types of Questions
1. Diagram Selection: Choose correct diagram for items.
2. Conclusion Deduction: Given a diagram, derive logical outcomes.
3. Statement Validation: Judge whether a statement is true given the diagram.
Example Questions
- Cat, Animal, Dog
Answer: All cats and dogs are animals → Three overlapping circles, Cat and Dog inside Animal.
- Teacher, Men, Women
Answer: Some teachers are men, some women → Three circles with partial overlaps.
- Circle showing Sports, Cricket, Hockey
Answer: Cricket and Hockey as subsets of Sports.
Exam Tips
- Categorize terms into subset, superset, disjoint, partial overlap.
- Use set theory basics: All A are B = A inside B; Some A are B = Partial overlap.
- Practice drawing rough diagrams before selecting answer.
Common Mistakes
- Confusing subset with partial overlap.
- Assuming relationships not stated (e.g., assuming all teachers are men).
- Not accounting for all terms in diagram.
Quick Revision Checklist
- Revise Venn logic: All, Some, None.
- Draw diagrams for real-world categories.
- Practice reverse logic: diagram → statement.
- Understand intersecting sets with 2 or 3 terms.
Summary: Logical Venn Diagrams train visual logical reasoning. Mastering them helps in categorical logic and sets—a foundational skill for various reasoning challenges.