Theory & Concepts

SSC CGL Venn Diagrams Questions, Logical & Numerical Tricks

Prepare Venn Diagrams for SSC CGL with formulas, short tricks, solved examples, practice questions, PYQs, and free PDF notes for faster exam preparation.

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40 min readDifficulty: Medium

Venn Diagrams are powerful visual tools used to represent logical relationships between groups. In SSC CGL, you'll encounter two main types: identifying the best diagram for a set of items and solving numerical problems based on intersecting regions.

Learning path

Basic Logical Relations
10 Essential Diagram Types
Quantitative Venn Analysis
20 Practice Questions

1. Logical Relationship Types

Every set of three items can be represented by one of several standard Venn configurations. Here are the most common:

World

Asia

India

All-In-All

Example: India, Asia, World. Each smaller group is entirely part of the larger one.

Dog

Cat

Fish

Disjoint Sets

Example: Dog, Cat, Fish. No item belongs to more than one group.

Teachers

Poets

Authors

Triple Intersection

Example: Teachers, Poets, Authors. Some can belong to all three or any two groups.

2. Quantitative Analysis

In these questions, a diagram with numbers is given. You must find the value of specific regions (e.g., "Teachers who are NOT Authors").

Intersection (AND)

The overlap region represents items that belong to BOTH groups simultaneously.

Union (OR)

The entire area of combined circles represents items belonging to AT LEAST ONE group.

3. 20 Practice Questions (Solved)

Question 01Exam Pattern

Which of the following diagrams best depicts the relationship between: 'Engineers, Doctors, Professionals'?

A) Three disjoint circles

B) One large circle containing two smaller disjoint circles

C) One large circle containing two partially overlapping circles

D) Three partially overlapping circles

Correct answer: B) One large circle containing two smaller disjoint circles

Solution

Step 1: Engineers and Doctors are separate occupations (No overlap usually in these questions).

Step 2: Both Engineers and Doctors are subset of 'Professionals'.

Step 3: Therefore, two small circles inside one large circle.

Conclusion: The correct option is B.

Question 02Exam Pattern

Which diagram represents: 'Birds, Crows, Dogs'?

A) One circle inside another, one separate

B) Three disjoint circles

C) Three overlapping circles

D) One circle inside two others

Correct answer: A) One circle inside another, one separate

Solution

Step 1: All Crows are Birds (Small circle inside a larger one).

Step 2: Dogs are not Birds and not Crows.

Step 3: So, Dogs will be a separate circle.

Conclusion: The correct option is A.

Question 03Exam Pattern

Identify the diagram that best represents: 'Author, Lawyer, Singer'?

A) Disjoint

B) Partially overlapping

C) Concentric

D) Two inside one

Correct answer: B) Partially overlapping

Solution

Step 1: An Author can also be a Lawyer.

Step 2: A Lawyer can also be a Singer.

Step 3: Some people can be all three or any combination.

Conclusion: Partially overlapping circles. Option B.

Question 04Exam Pattern

In a diagram, a Triangle represents 'Teachers', a Circle represents 'Players', and a Square represents 'Singers'. Which region represents Teachers who are Singers but NOT Players?

A) Region inside triangle and square only

B) Region inside triangle and circle only

C) Region inside all three

D) Region inside triangle only

Correct answer: A) Region inside triangle and square only

Solution

Step 1: Identify Teachers (Triangle) and Singers (Square).

Step 2: The intersection of Triangle and Square gives Teachers who are Singers.

Step 3: 'NOT Players' means we must exclude any area that falls inside the Circle.

Conclusion: Region inside triangle and square only. Option A.

Question 05Exam Pattern

Which diagram represents: 'Atmosphere, Hydrogen, Oxygen'?

A) One inside another inside another

B) One large containing two disjoint small

C) One large containing two overlapping small

D) Three disjoint

Correct answer: B) One large containing two disjoint small

Solution

Step 1: Hydrogen and Oxygen are two different gases (Disjoint).

Step 2: Both are part of the Atmosphere.

Conclusion: Two separate circles inside one large circle. Option B.

Question 06Exam Pattern

Represent the relationship: 'Sun, Planets, Earth'?

A) Sun separate, Earth inside Planets

B) All three disjoint

C) Sun, Earth inside Planets

D) Earth, Planets inside Sun

Correct answer: A) Sun separate, Earth inside Planets

Solution

Step 1: Earth is a Planet (Small circle inside Planets circle).

Step 2: Sun is a Star, not a Planet.

Step 3: So Sun is separate.

Conclusion: The correct option is A.

Question 07Exam Pattern

Which diagram represents: 'Father, Brother, Male'?

A) Two separate inside one

B) Two overlapping inside one

C) Concentric

D) Partially overlapping

Correct answer: B) Two overlapping inside one

Solution

Step 1: All Fathers are Male and all Brothers are Male (Both inside Male circle).

Step 2: Some Fathers are also Brothers.

Step 3: So the two internal circles must overlap.

Conclusion: Two overlapping circles inside one large circle. Option B.

Question 08Exam Pattern

In a group of 50 students, 30 like Cricket, 25 like Football, and 10 like both. How many like NEITHER?

A) 5

B) 10

C) 15

D) 20

Correct answer: A) 5

Solution

Step 1: Total = C + F - (Both) + Neither.

Step 2: \( 50 = 30 + 25 - 10 + N \).

Step 3: \( 50 = 45 + N \).

Step 4: \( N = 5 \).

Conclusion: 5 students like neither. Option A.

Question 09Exam Pattern

Which diagram represents: 'School, Classroom, Blackboard'?

A) Three concentric circles

B) Three overlapping

C) Three disjoint

D) Two inside one separate

Correct answer: A) Three concentric circles

Solution

Step 1: Blackboard is inside the Classroom.

Step 2: Classroom is inside the School.

Conclusion: Concentric circles (Smallest: Blackboard, Mid: Classroom, Large: School). Option A.

Question 10Exam Pattern

Identify: 'Whale, Fish, Crocodile'?

A) All separate

B) Two inside one

C) All overlapping

D) One inside one separate

Correct answer: A) All separate

Solution

Step 1: Whale is a Mammal, not a Fish.

Step 2: Crocodile is a Reptile.

Step 3: Fish is a separate category.

Conclusion: All are separate categories. Option A.

Question 11Exam Pattern

Relationship: 'Judge, Thief, Criminal'?

A) One separate, one inside other

B) All disjoint

C) All overlapping

D) Two inside one

Correct answer: A) One separate, one inside other

Solution

Step 1: All Thieves are Criminals.

Step 2: Judge is entirely different.

Conclusion: Judge separate, Thief inside Criminal. Option A.

Question 12Exam Pattern

In a survey, 40% people read Newspaper A, 50% read B, and 10% read both. What % read at least one?

A) 80%

B) 90%

C) 100%

D) 70%

Correct answer: A) 80%

Solution

Step 1: \( \text{Union} = A + B - \text{Both} \).

Step 2: \( \text{Union} = 40 + 50 - 10 = 80 \).

Conclusion: 80% read at least one. Option A.

Question 13Exam Pattern

Identify: 'Furniture, Table, Chair'?

A) Two inside one

B) Concentric

C) Overlapping

D) Disjoint

Correct answer: A) Two inside one

Solution

Step 1: Tables and Chairs are types of Furniture.

Step 2: Table and Chair are separate (Disjoint).

Conclusion: Two separate circles inside one large circle. Option A.

Question 14Exam Pattern

Relationship: 'Police, Mother, Woman'?

A) One inside one, overlapping with third

B) Concentric

C) All overlapping

D) Two separate inside one

Correct answer: A) One inside one, overlapping with third

Solution

Step 1: All Mothers are Women (Mother inside Woman).

Step 2: Some Women and some Mothers can be Police.

Step 3: So the 'Police' circle overlaps with both.

Conclusion: The correct option is A.

Question 15Exam Pattern

Relationship: 'State, Country, City'?

A) Concentric

B) Overlapping

C) Disjoint

D) Two inside one separate

Correct answer: A) Concentric

Solution

Step 1: City is part of a State.

Step 2: State is part of a Country.

Conclusion: Concentric circles. Option A.

Question 16Exam Pattern

Relationship: 'Mammal, Bat, Lizard'?

A) Bat inside Mammal, Lizard separate

B) All separate

C) All overlapping

D) Concentric

Correct answer: A) Bat inside Mammal, Lizard separate

Solution

Step 1: Bat is a Mammal.

Step 2: Lizard is a Reptile, not a Mammal.

Conclusion: The correct option is A.

Question 17Exam Pattern

Relationship: 'Wife, Mother, Female'?

A) Two overlapping inside one

B) Three concentric

C) Disjoint

D) Two separate inside one

Correct answer: A) Two overlapping inside one

Solution

Step 1: All Mothers are Females and all Wives are Females.

Step 2: Most Mothers are Wives, but not all (and vice versa).

Step 3: So overlap inside the Female circle.

Conclusion: The correct option is A.

Question 18Exam Pattern

Relationship: 'Tie, Shirt, Pant'?

A) Disjoint

B) Overlapping

C) Two inside one

D) Concentric

Correct answer: A) Disjoint

Solution

Step 1: All three are separate items of clothing.

Conclusion: Three separate circles. Option A.

Question 19Exam Pattern

Relationship: 'Gram, Beans, Legumes'?

A) Two separate inside one

B) Concentric

C) Overlapping

D) Disjoint

Correct answer: A) Two separate inside one

Solution

Step 1: Gram and Beans are both Legumes.

Step 2: Gram is not Beans.

Conclusion: Two separate circles inside one large circle. Option A.

Question 20Exam Pattern

In a diagram, Triangle = 'Educated', Circle = 'Urban', Square = 'Hardworking'. Find region for 'Educated Urban people who are NOT Hardworking'.

A) Intersection of Triangle & Circle only

B) Intersection of all three

C) Triangle only

D) Circle only

Correct answer: A) Intersection of Triangle & Circle only

Solution

Step 1: Need 'Educated' (Triangle) AND 'Urban' (Circle).

Step 2: 'NOT Hardworking' means exclude the Square region.

Conclusion: Intersection of Triangle and Circle outside the Square. Option A.

Strategy errors to avoid

Scientific vs Logical Grouping

SSC questions use general knowledge categories. For example, biologically, a Whale is a Mammal, but many students mark it as a Fish. Always use accurate classification (mammal, reptile, gas, etc.).

The "Only" Trap

If a question asks for "Urban teachers ONLY", it means you must exclude any other group. If it just says "Urban teachers", it includes those who might also be Hardworking.

Master the next modules

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