**Logical Venn Diagram**

This is part of logical reasoning which is present in every SSC paper. These types of questions aim to test a candidate’s ability to classify and relate certain groups of items. This section is one of the most scoring sections in Reasoning for SSC as all one has to do is just look at the image and data asked/given and answer the question straight away. But many candidates fail to utilize the simplicity of these questions as they don’t know where to look for and what information.

**What exactly is Venn diagram?**

- These diagrams were given by John Venn. To put it simply, these diagrams show all possible logical relations between a number of elements.
- A typical Venn diagram, usually, uses geometrical figures like Circles, Triangles, Squares & Rectangles.

- A basic Venn diagram has data represented in ‘
**Circles**’.

**1. **In a country three persons A, B and C live. They are three different people. This information can be represented as:

Here, we can see that A, B and C are different elements so they’ve represented by different circles.

**2.** if we were to represent information in which two elements are intermingled while the third one is different we’ll do that a bit differently.

**For example,** Hindu, Indian, and Parrot. Now, logically we know that Some Hindus are Indian (as some Hindus might be living abroad and be Australian or any other country’s citizens) and also, no Parrot is Hindu(as animals have no religion) also no Parrot is Indian (as no animal has ethnicity). This information about Hindu, Indian, Parrots can be represented as follows:

Here, the shaded area shows those Hindus who are Indians at the same time. Parrot is represented in a different circle.

**3. Suppose, we need to convey this: Dog, Animal, Cow.**

Now we know that all dogs are animals (clearly no dog is human) so the circle of ‘dog’ will have to be completely surrounded by a circle of the animal the circle of the animal can have some spare space aside from the dog as the dog isn’t the only animal. Similarly, all ‘cows’ are animals so the circle of ‘cow’ will have to be completely surrounded by the circle of animals through the circle of animals can have some spare space aside from the cow as the cow isn’t the only animal. This information can be represented as:

Here, we can see that ‘Animal’ has been represented by a big circle which encompasses the circles for both ‘cow’ and ‘dog. Notice, the circle for ‘animal’ has some spare space as this can contain other types of animals because ‘cow’ and ‘dog’ aren’t the only types of animal.

**Types of questions asked in Competition Exam:**

Let’s have a look at the type of questions asked specifically in the SSC exam. There are basically two types of questions:

**1) Finding relationships:** To solve these kinds of questions, we need to have a strong grip on common relationships that exist in the world around us. To define the relationship between Catholics & Christians we need to know that Catholics are the type of Christians hence we can easily conclude that all Catholics are Christian but some Christians will not be Catholics as they will be the other type of Christians. This information can be represented as:

**A typical question might look like this: Dean, Painter, Singer.**

We live in a diverse world where people can be multi-talented also people possess just one talent so this info can be represented by 7 categories of people:**a)** Who are only Dean

**b)** Who are only Painter

**c)** Who are only Singer

**d)** Who are both Dean & Painter

**e)** Who are both Painter & Singer

**f)** Who are both Singer & Dean

**g)** Who are all Dean, Painter & Singer?

This information can be represented by Venn diagram as follow: (for reader’s convenience, the different regions have been labelled as named above but in exams, questions haven't been marked this way)

**2) Finding the exact region: **These are the reverse version of the questions discussed above. Here, the diagram with labelled image is given and we’ve to identify the region specifically asked the question.**For example, an image like below will be given**:

Circle S stands for households having a scooter, Circle T stands for households having a TV set,

Circle W stands for households having a Washing Machine, Circle C stands for households having a car.

Find household having both TV set, Car and Washing Machine but not a scooter. **(Question ends)**

Now, if we look closely we can see that four distinct items have been, these 4 distinct items can be seen as:

Now, there are places, where only ‘Circle S and Circle T meet, such places can be represented in the figure below with ‘orange’ colour, similarly, following colours, have been used to represent different regions:

1) Green = Only (T, W and S) 2) Yellow = Only (T and W) 3) Purple = Only (W and C) 4) Blue = Only (S, W and C) 5) Baby Pink = Only (S and T) 6) White = Only (S, T and C) 7) Light brown = Only (T, W and C) 8) Red = All S,T, W and C.

**Note:** You don’t have to make such a colourful representation in the exam. It’s been only colourized to help you visualise the different regions with specific labels.

Now, we have to find a household with a TV, Washing machine, and car but not a scooter.

We know that TV = Circle T, Washing Machine = Circle W, Car = Circle C, Scooter = Circle S

So, we have to find where Circle T, W and C meet but not S.

We can clearly see that such a region is represented by a light brown region which was marked as ‘7’ in the original question figure.**A similar question** can be given which represents different elements using different figures like the rectangle, triangle etc. as shown below:

Here, Circle represents college Professors, the triangle represents Surgeons and the Chemist is shown by the rectangle.

Find the area where Surgeons who are Chemists but not Professors are represented.

To find the area representing only Surgeons and Chemists, we need to look for where ONLY Triangle(=Surgeons) and Rectangle(=Chemist) meet and no sign of a Circle(=professor).

Clearly, such area is shown by region marked as Z only (and not Y because that would include Circle also).

## Important Questions of Logical Venn Diagram for SSC Exams 2023

**Question 1:** In the following diagram, three classes of the population are represented by three figures. The triangle represents the school teachers, the square represents the married persons and the circle represents the persons living in joint families.

Q1. Married persons living in joint families but not working as school teachers are represented by

(a) C

(b) F

(c) D

(d) A

Q2. Persons who live in joint families, are unmarried and who do not work as school teachers are represented by

(a) C

(b) B

(c) E

(d) D

Q3. Married teachers living in joint families are represented by

(a) C

(b) B

(c) D

(d) A

1. Ans.(c)

Sol. Married persons living in joint families are represented by the region common to the square and the circle i.e., D and B. But, according to the given conditions, the persons should not be school teachers. So, B is to be excluded. Hence, the required condition is denoted by region D.

2. Ans.(c)

Sol. Persons living in joint families are represented by the circle. According to the given conditions, the persons should be unmarried and not working as school teachers. So, the region should not be a part of either the square or the triangle. Thus, the given conditions are satisfied by the region E.

3. Ans.(b)

Sol. Married teachers are represented by the region common to the square and the triangle i.e., B and C. But, according to the given conditions, the persons should be living in joint families. So, the required region should be a part of the circle. Since B lies inside the circle.

**Question 2:** In the following questions, answers are to be based on the diagrams given below, where the triangle represents doctors, the circle represents players and the rectangle represents artists.

Q1. Which numbered space in the diagram represents doctors who are also players and artists?

(a) 2

(b) 3

(c) 4

(d) 5

Q2. Which number represents artists who are also players only?

(a) 4

(b) 6

(c) 7

(d) 8

Q3. Which number represents artists who are neither players nor doctors?

(a) 1

(b) 2

(c) 3

(d) 4

1. Ans.(d)

Sol. The required region is the one which is common to the triangle, circle and rectangle i.e. 5.

2. Ans.(b)

Sol. The required region is the one which is common to the rectangle and the circle but lies outside the triangle i.e. 6.

3. Ans.(a)

Sol. The required region is the one which lies inside the rectangle but outside the circle and the triangle i.e. 1

**SSC Venn Diagram Questions Download Important Questions PDF (English)**

**SSC Venn Diagram Questions Download Important Questions PDF (Hindi)**

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