What diagram fits Doctor, Man, Woman?

Man and Woman are separate (no overlap). A doctor can be a man or a woman, so the Doctor circle overlaps both Man and Woman, while Man and Woman stay disjoint. This is a classic three-set reasoning figure.

How do I count values in Venn regions?

Fill the innermost region (common to all) first, then work outward, subtracting the overlaps already counted. Use n(A∪B) = n(A) + n(B) − n(A∩B) for two sets and the three-set inclusion–exclusion formula for three.

Are Venn diagrams asked in TNPSC?

Yes — TNPSC Mental Ability includes 'choose the diagram that represents the relationship' questions, and DI-style problems may ask you to compute region counts. They are quick, logic-based marks.

Venn Diagrams — Set Relations & Logical Reasoning | TNPSC, SSC, Bank

Quick Concept Summary

Venn-diagram questions test whether you can picture how groups (sets) relate: one inside another, partly overlapping, or completely separate. Two skills are tested — choosing the right figure for a list of words, and counting how many items fall in each region. Both come down to deciding the relationship between every pair of groups.

The Three Basic Relationships

Relationship	Meaning	Example	Picture
Inclusion (subset)	One group fully inside another	Rose → Flower → Plant	circle inside circle
Overlap (some common)	Groups share some members	Doctors & Women	intersecting circles
Separation (disjoint)	No common members	Cat & Car	separate circles

How to Choose the Right Diagram

1. List every pair of the given words. 2. Decide each pair's relationship: inside, overlap, or separate. 3. Draw a figure that satisfies all pairwise relationships at once.

Example: Doctor, Man, Woman → Man and Woman are separate; Doctor overlaps both.

Counting Region Values (Set Formulas)

Two sets: n(A ∪ B) = n(A) + n(B) − n(A ∩ B)
Three sets: n(A∪B∪C) = n(A)+n(B)+n(C) − n(A∩B) − n(B∩C) − n(A∩C) + n(A∩B∩C)

Always fill the centre region (common to all) first, then move outward, subtracting what you have already placed.

Worked Examples

Example 1: Which relationship fits "Tamil Nadu, India, Asia"? Tamil Nadu ⊂ India ⊂ Asia → three concentric circles (inclusion).

Example 2: In a class, 25 play cricket, 20 play football, 8 play both. How many play at least one? n = 25 + 20 − 8 = 37.

Example 3: Choose the figure: Engineers, Graduates, Cricketers. All cricketers/engineers can be graduates, and engineers can be cricketers → all three circles overlap (mutually intersecting).

Example 4: Of 100 students, 60 like tea, 50 like coffee, 30 like both. How many like neither? Like at least one = 60 + 50 − 30 = 80 → neither = 100 − 80 = 20.

Common Mistakes

Drawing overlap when the groups are actually separate (e.g., Man vs Woman).
Forgetting to subtract the intersection in n(A ∪ B).
Counting the centre region multiple times in three-set problems.

Exam Tips

For "choose the diagram" questions, test each option against every pair of words.
For counting, start from the innermost region and work outward.
Memorise the two- and three-set union formulas — they cover almost every DI-style Venn question.

Frequently Asked Questions

Decide the relationship between each pair: if one is fully part of another (Dog–Animal), draw a circle inside a circle; if they share some members (Doctors–Women), draw overlapping circles; if they have nothing in common (Cat–Car), draw separate circles. Combine these pairwise relations into one figure.