Venn Diagrams
About 6 min · Reasoning Ability · English
Time worked out from the lesson's 416 words at 150 words a minute, plus a minute for each question.
Venn diagrams are visual tools that show relationships between different groups or sets using overlapping circles. In HSSC CET, these questions test your ability to classify items and understand how categories relate — whether they overlap, include one another, or remain completely separate.
Key ideas
- Disjoint Sets: Two or more groups with no common members. Shown as separate, non-touching circles. Example: Dogs, Tables, Mountains — completely unrelated categories.
- Overlapping Sets: Groups that share some but not all members. Shown as intersecting circles. Example: Students, Athletes, Musicians — a person can belong to one, two, or all three.
- Subset Relationship: One group is entirely contained within another. Shown as a smaller circle inside a larger one. Example: Roses inside Flowers inside Plants — every rose is a flower, every flower is a plant.
- Identical Sets: Two groups with exactly the same members. Represented by a single circle with both labels. Example: Unmarried Men and Bachelors.
- Mixed Relationships: Real questions often combine relationship types. Example: Dogs, Animals, Cats — Dogs and Cats are both subsets of Animals, but Dogs and Cats are disjoint from each other.
Watch out for
- Mistake: Assuming related items must overlap. Fix: Ask "Can a single item belong to both categories simultaneously?" Pen and Pencil — no single object is both. They're disjoint.
- Mistake: Drawing Dogs and Cats as overlapping because both are Animals. Fix: The relationship to a third category doesn't create overlap between them. Dogs and Cats share no members — disjoint circles inside the Animals circle.
- Mistake: Confusing "some A are B" with "all A are B". Fix: "Some" means overlap; "All" means subset. Some students are athletes (overlap) vs All roses are flowers (subset).
Quick reference
- Disjoint: No common member → Separate circles
- Overlap: Some common members → Intersecting circles
- Subset: All of A are B → A circle inside B circle
- Three overlapping circles = 7 distinct regions
- Test: "Can one thing be both?" — Yes = overlap/subset; No = disjoint
Check yourself: 3 questions
1. In a class of 50 students, 30 play cricket, 25 play football and 10 play both cricket and football. How many students play neither cricket nor football?
2. In a survey of 100 people, 60 like tea, 50 like coffee and 30 like both tea and coffee. How many people like only tea?
3. In a college of 200 students, 120 students read Hindi newspapers, 90 read English newspapers and 50 read both Hindi and English newspapers. How many students read at least one newspaper?
This lesson is cut from the topic's note, not rewritten. Fact-checked on 18 Oct 2026: an AI-assisted check of this note against cited sources; the errors it found were corrected that day. Some errors may remain. The questions are from Shishya's validated question bank.
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