In a group of 300 families in a colony of Dharavi, each family likes at least one dish among Pao Bhaji, Vada Pao and Misal Pao. 160 families like Pao Bhaji and 140 families like Vada Pao.

Question:

If the number of families who like Misal Pao is 180, then what is the maximum possible number of families who like only Pao Bhaji ?

180

120

View Solution

Directions for question :

In a group of 300 families in a colony of Dharavi, each family likes at least one dish among Pao Bhaji, Vada Pao and Misal Pao. 160 families like Pao Bhaji and 140 families like Vada Pao.

Question:

If the number of families who like all the three dishes is 80, then what is the minimum possible number of families who like only Misal Pao ?

120

100

View Solution

Concepts Covered - 1

Introduction to Venn Diagrams

Venn Diagrams are a graphical tool used in data interpretation to visualize the relationships between different sets or categories of data. They are particularly useful for understanding overlapping or shared elements between various data groups.

Key Concepts in Venn Diagrams:

Sets: Venn Diagrams represent different sets of data, where each set corresponds to a category or group.
Overlapping Regions: The overlapping regions in a Venn Diagram represent elements that belong to multiple sets simultaneously.

Interpreting Venn Diagrams:

Venn Diagrams scenarios require you to analyze the diagram to extract information about the relationships between sets, identify shared elements, and answer questions related to the data.

Example Venn Diagram:

Let's explore a detailed example of a Venn Diagram scenario to illustrate these concepts:

Scenario: Consider a Venn Diagram representing two sets: Set A and Set B.

Data Interpretation Questions:

Identify the elements in Set A.
Identify the elements in Set B.
Determine the elements that belong to both Set A and Set B.
Calculate the total number of elements in both Set A and Set B.

Answers:

The elements in Set A are {1, 2, 3, 4, 5}.
The elements in Set B are {3, 4, 5, 6, 7}.
The elements that belong to both Set A and Set B are {3, 4, 5}.
The total number of elements in both Set A and Set B is 5.

Conclusion: Venn Diagrams are a powerful visual tool for understanding the relationships between different sets of data. They help you identify shared elements and calculate various set-related parameters. Proficiency in interpreting Venn Diagrams is essential for analyzing complex data scenarios and extracting meaningful insights from overlapping data categories.