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Venn Diagrams
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Verbal Reasoning

⭕ Venn Diagrams

Master logical group relationships, set intersections, and data problems — the essential Venn diagram skills for SSC, IBPS, and competitive exams.

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Section 1 of 6

⭕ What is a Venn Diagram? — Sets, Subsets & Regions

A Venn Diagram uses overlapping circles to show logical relationships between groups (called sets). Each circle represents one set, and the regions created by their overlaps show how the sets relate.

Set
A = {cats, dogs}
A collection of distinct objects grouped by a common property.
Subset
A ⊆ B
Every element of A is also in B. A circle sits inside B.
Intersection
A ∩ B
Elements that belong to BOTH A and B — the overlap region.
Union
A ∪ B
All elements belonging to A OR B (or both).

In exam questions, you need to identify which diagram correctly represents the given word groups, or read data from a labelled Venn diagram to answer questions about counts.

⭕Venn Diagram ExplorerInteractive
2-SetDogs / Animals
DogsAnimals
All Dogs are Animals. Dogs form a proper subset of Animals.
Region Labels
Inner circleDogs (all are animals)
Outer ringAnimals that are NOT dogs
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Key Insight: Before drawing or choosing a Venn diagram, ask: "Can one group be a member of the other?" If yes → subset or overlap. "Are the two groups completely distinct?" If yes → separate circles (disjoint sets).

The statement means circle A is entirely inside circle B.

When sets have NO common members, they are called , and the circles do NOT overlap.

The intersection A ∩ B represents members that belong to .

📝Practice Questions

Q1Which Venn diagram correctly represents: "All nurses are women"?

Q2Which diagram best shows the relationship between "Cats" and "Dogs"?

Q3For "Doctors" and "Graduates": Which Venn diagram is most appropriate?

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Section 2 of 6

🔵 2-Set Relationships — Subset, Overlap & Disjoint

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Section 3 of 6

🔵 3-Set Relationships — All 8 Regions & Diagram Types

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Section 4 of 6

📊 2-Set Data Problems — Union Formula & Region Filling

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Section 5 of 6

📊 3-Set Data Problems — Full Formula & Worked Examples

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Section 6 of 6

⚡ Exam Patterns & Shortcuts — SSC/IBPS Standard Questions

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