Logical Venn Diagrams for SSC CGL
Master Set Relationships and Logical Analysis
1. Introduction
Logical Venn Diagram questions are a significant part of SSC CGL reasoning. They test your ability to analyze relationships between different sets and draw logical conclusions.
These questions are scoring because once you know the standard rules for Venn diagrams, solving becomes systematic.
2. Definition
A Venn Diagram is a diagram that shows all possible logical relations between a finite collection of sets. In SSC CGL, you are usually asked to determine the number of elements in a specific group, overlapping sets, or to verify a conclusion.
Example: "All cats are animals. Some animals are dogs. Can a cat be a dog?"
Solution: Draw two circles: Cats ⊂ Animals, Dogs ⊂ Animals
Cats and Dogs are separate subsets of Animals → No overlap between Cats and Dogs
Answer: No
3. Types of Logical Venn Diagram Questions
Two-Set Diagrams:
Questions involve two sets and ask about intersection, union, or exclusion.
Example: "All A are B. Some B are C. Find the relation between A and C."
Three-Set Diagrams:
Involving three sets, often with overlapping elements.
Example: "Some A are B, some B are C, no A is C. Represent using a Venn diagram."
Set-Based Conclusions:
Draw Venn diagrams to check which conclusion is correct.
Example: "All roses are flowers. Some flowers are red. Can some roses be red?"
Word / Statement Problems:
Translate statements into sets and analyze visually.
4. Previous Year SSC CGL Examples
2018 Tier I: "All pencils are pens. Some pens are erasers."
Answer: No (A pencil cannot be an eraser)
2019 Tier I: "All cats are animals. Some animals are dogs."
Answer: No (A cat cannot be a dog)
2020 Tier I: "Some students are boys. All boys are athletes."
Answer: Yes (Some students can be athletes)
Practicing previous year Venn diagram questions improves your ability to quickly visualize relationships and make conclusions.
5. Strategy to Approach Logical Venn Diagram Questions
- Identify sets and categories: Write down all sets mentioned
- Draw circles: Represent each set as a circle
- Mark relationships: Identify intersections, exclusions, and overlaps
- Analyze conclusions: Check which statements fit the diagram logically
- Practice regularly: Familiarity with 2-set, 3-set, and word problems boosts speed
6. Quick Recap
- Logical Venn Diagrams test your ability to analyze relationships between sets
- Types: Two-set, Three-set, Set-based conclusions, Word/Statement problems
- Draw diagrams and mark overlaps for accurate conclusions
- Regular practice improves visualization and logical reasoning
7. Practice Questions
Try solving these to test your understanding:
1. All roses are flowers. Some flowers are red. Can a rose be red?
2. All dogs are animals. Some animals are pets. Can a dog be a pet?
3. Some students are girls. All girls are athletes. Can some students be athletes?
4. All apples are fruits. Some fruits are green. Can some apples be green?
5. No cat is a dog. Some pets are cats. Can some pets be dogs?
Click for Answers
1. Yes (Roses are flowers, and some flowers are red, so roses can be red)
2. Yes (Dogs are animals, and some animals are pets, so dogs can be pets)
3. Yes (Some students are girls, and all girls are athletes, so some students can be athletes)
4. Yes (Apples are fruits, and some fruits are green, so apples can be green)
5. Yes (No cat is a dog, but some pets are cats, and other pets can be dogs)
Draw diagrams to analyze overlaps and exclusions before concluding.
Start Your SSC CGL Journey Now!
Join Courage Library to experience disciplined study and expert support.
Be a Couragian!