Logical Venn Diagrams Cheat Sheet
2 Nov 2026
Quick answer
A quick reasoning revision sheet for logical Venn diagrams — the three ways groups relate (separate, one inside another, overlapping), how to choose the diagram that fits three given terms, and the region-counting type — with worked examples, for fast SSC, Banking and Railway revision.
A logical Venn diagram question gives three or more groups and asks which diagram shows how they relate — or gives a diagram and asks you to read a count from its regions.
The three relationships
| Relationship | When | Picture |
|---|---|---|
| Separate (disjoint) | no member is shared | two circles that do not touch |
| One inside another (nested) | every member of one is in the other | small circle inside a big one |
| Overlapping | some members are shared, not all | two circles crossing |
Choosing the diagram for three terms
Ask, for each pair, which of the three relationships holds, then combine.
- India, Asia, World → every India is in Asia, every Asia is in the World: three nested circles (India inside Asia inside World).
- Table, Chair, Furniture → tables and chairs share nothing with each other, but both are furniture: two separate circles inside one big Furniture circle.
- Doctor, Man, Woman → a doctor may be a man or a woman, but man and woman are separate: Man and Woman disjoint, Doctor overlapping both.
The region-counting type
Some questions draw overlapping circles with numbers in each region and ask, for example, "how many are in A only" or "in both A and B". Read each region exactly: the overlap of A and B counts only the part inside both, and "A only" excludes the overlap.
Worked example
Which diagram fits Pigeon, Bird, Dog?
- A pigeon is a bird (nested: Pigeon inside Bird).
- A dog is not a bird and not a pigeon (separate from both).
- So: Pigeon inside Bird, and a separate Dog circle outside.
Quick tips
- Decide each pair's relationship before drawing; the whole diagram is just the three pair-decisions combined.
- In counting questions, shade the region the words describe before you add the numbers.
Revise the full method in the Venn Diagrams lesson, then practise Venn diagram questions or browse more reasoning revision sheets.
How this was made: Drafted with AI assistance; every formula and worked figure recomputed independently; every fact checked against the source it cites.