A Venn diagram or set diagrams is a circular graphic that uses circles to depict the relationship among finite groups of things. Among these, the overlapping circles have commonalities, whereas the circles that do not intersect share distinct features and traits. The set diagrams assist in depicting the similarities and differences between the two concepts.
The set diagrams are widely used in mathematics, teaching, statistics, businesses, set theories, etc. In competitive exams like SSC, the Venn diagram questions come under the general intelligence and reasoning section, as these have been recognized as essential educational tools. Learn all the details about the concept from the description given below.
What is a Venn Diagram?
The Venn diagram is an illustration that assists in visualising the relationship between sets and elements in solving Venn diagram questions for competitive exams. The diagram utilises overlapping and non-overlapping circles or closed figures to depict the connection between the given sets.
Understanding the Venn diagram
In 1880, an English logician John Venn popularised the diagram, calling it an Eulerian circle. The English logician did so after Swiss mathematician Leonard Euler designed the same in the 1700s. The term didn’t introduced until 1918 when an American academic philosopher Clarence Lewis mentioned the circular representation of the diagram in his publication ‘’A Survey of Symbolic Logic’’.
John Venn studied the concept and gave the logic at Cambridge University, where he introduced his method of using the Venn diagrams to demonstrate the mathematical branch called a set theory.
Application of Venn diagram
The Venn diagrams or set diagrams depict how items have a reference with each other against the universe, backdrop, data set, or environment. These are also used to compare two companies of the same industry by demonstrating the products the organisation offers (where circles intersect) and products that are unique to each organisation (outer circles). The various mathematical concepts also use the Venn diagram questions, supporting the students to identify main ideas, develop reading comprehension and compare the text.
These diagrams are a pictorial representation of the connection between two sets that can be more composite at times. Still, the streamlining goal of the Venn diagram questions to demonstrate groups and concepts has led to their wide application in many fields. It includes linguistics, education, business, computer science, logic, and statistics. Preparation of the Venn diagram questions for exams enables students to organise the visual information to see the connection between two or three sets of items.
Purpose and Benefits of practising Venn diagrams questions
Following are the objectives and benefits of practising the Venn diagram questions-
To compare multiple choices and see the commonality and the difference in selecting any product or service for purchase.
To solve difficult mathematical problems.
To organise information, visualising the relationship between sets of items, for instance, the differences and commonalities.
Providing a logical reason for equations or statements.
Provide comparison of data sets, and predict the probabilities for various occurrences.
Term related to Venn diagram questions
Following are the terms related to Venn diagram questions that can help you understand the concept better-
A Universal set: The larger set of the Venn diagram is called a Universal set, containing all elements of all sets that everyone considers. While drawing the Venn diagram, a large rectangle portrays the universal set. The large rectangle is denoted as symbol E and sometimes U. Meanwhile, closed figures or circles depict all other sets within the large rectangle. Every set of the large rectangle is a subset of the Universal set.
A subset in a Venn diagram is a set contained in another set. In simple words, a subset is a collection of items, objects, or members.
Items or objects that intersect in the set are referred to as intersections.
Scaled Venn diagram
A Scaled Venn diagram, also known as area proportional, is a circle sized by a proportional portrayal of the whole structure.
The longstanding mathematical branch that deals with sets and subsets is set theory.
Steps to Draw a Venn Diagram
One can draw a Venn diagram in endless circles. Many Venn diagram reasoning may ask questions relating to it. Here are four steps to draw the diagram-
Step1: Classify all items present in the sets.
Step2: Make a rectangle and tag it according to the relationship between the sets.
Step3: Make a circle as per the number of classified items.
Step4: Locate all the items in suitable circles.
Venn diagram of set operations
Many operations are being performed on the sets in a set theory. For instance-
Intersection of sets
Union of sets
Complement of set
Difference of set
The Venn diagram is a piece of visual information assisting in determining the relationship between sets and elements. It helps to solve the Venn diagram questions for SSC examinations. The Venn diagram concept allows a student to develop reading comprehension, compare text, and see the relationship between the elements of sets. After using the diagram, you may observe things in different ways and will make the arguments, choices, or decisions more efficient. The concept is widely used in mathematical terms to teach the basic maths concepts such as unions, sets, and intersections to students during their schooling period. Although, these terms often help solve Venn Diagram questions for competitive exams.