Reasoning Ability - SPLessons

Logical Venn Diagrams

Chapter 16

SPLessons 5 Steps, 3 Clicks
5 Steps - 3 Clicks

Logical Venn Diagrams

Logical Venn Diagrams

shape Description

Logical Venn Diagrams , the primary point is to test the capacity of candidate about the relation between a few things of a gathering by diagrams. In these questions some figures of circles and some words are given. Candidate is required to pick a figure which speaks to the given words.


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shape Concept

Venn diagrams are a efficient method for representing to and breaking down sets and performing set operations. As such, the utilization of Venn diagrams is only the elaboration of a solving technique. Problems that are solved utilizing Venn diagrams are basically issues in view of sets and set operations.

Type 1: In this type, questions consists of geometrical figure which represents a certain class. The candidate is required to study and analyse the figure carefully and then certain questions regarding the given data.

Type 2: Under type two, below listed are a few different kinds of Venn diagrams with their significance made clear:
1. If the elements clearly belong to three different groups, the Venn diagrams representing it would be as shown below:

In this, there is no relationship between the three elements.
So, they are represented by 3 disjoint figures as shown in the figure above.

2. If one element belongs to the class of the second and the second belongs to the class of third, then the arrangement is in the form of three concentric circles, as shown below:

3. If two separate elements belong to the class of the third, they are represented by two disjoint circles inside a larger circle as shown below:

4. If two elements belong to the class of third such that some elements of each of these two groups are common in relationship, then they are represented by two intersecting circles enclosed within a bigger circle ass shown below:

5. If two elements are partly related to the third, and are themselves independent of each other they are represented by three intersecting circles in a line. It is as shown below:

6. If the three elements are partly related to each other, they are represented as shown below:

7. If one element belongs to the class of second while third element is entirely different from the two, then they may be represented by adjoining figure as shown below:

8. If one element belongs to the class of second and the third item is partly related to these two, they are represented as shown in figure below:

9. If one element belongs to the class of second and the third element is partly related to the second. They are represented as shown below:

10. If two elements are partly related to each other and the third element is entirely different from the two, they are represented as shown below:

shape Model
Problems

Model 1: Which of the following diagrams indicates the best relation between factory, product and machinery ?
a) b) c) d) e) Solution:
Given elements are:
Factory, product and machinery
Hence, product and machinery are different from each other but both are found in factory.
Therefore, if two separate elements belong to the class of the third, they are represented by two disjoint circles inside a larger circle.
So, option(b) is right one.

Model 2: Which of the following figures indicates the best relation between cricket, player and field ?
a)

b) c) d) Solution:
Given elements are:
cricket, player and field.
Here, football, players and field all are different.
In this, there is no relationship between the three elements.
So, they are represented by 3 disjoint figures.
Therefore, option(c) is the correct choice.

Model 3: Study the following figure and answer the questions given below.

Where:
How many backward people are educated?
a) 9
b) 28
c) 14
d) 6
Solution:
Given that:
Triangle area belongs to educated people.
Small circle belongs to backward people.
Big circle belongs to employed people.
Therefore,
Number of backward people are who are educated = 11 + 3 = 14.

Model 4: Which of the following diagrams indicates the best relation between oil, wick and lamp ?
a)

b) c) d) Solution:
Given elements are:
oil, wick and lamp.
So, oil and wick are different from each other but they both are used in lamp.
Therefore, if two separate elements belong to the class of the third, they are represented by two disjoint circles inside a larger circle.
Hence, option(d) is right one.

Model 5: Which one of the following represents a woman who is urban as well as government employee ? The figure is as shown below. Read it carefully and answer the question.

a) 7
b) 13
c) 10
d) 6
Solution:
Rectangle represents men, therefore the area outside the rectangle should be women.
Outside the rectangle(women) & Circle(urban) & Square(Govt. employee).
From the given diagram, the value 10 satisfies the above conditions.
Therefore the answer is 10.
Hence, option(c) is right answer.
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