Study the given diagram carefully and answer the question. The numbers in different sections indicate the number of persons. How many such medallists are there who are also Indians?
Question Type: Logical Reasoning (Venn Diagram)
Step-by-Step Solution:
The problem asks us to find the total number of individuals who are both "Medallists" and "Indians", based on the provided Venn diagram.
- Identify the relevant shapes: In the given diagram, each shape represents a group of people.
- The Triangle represents 'Medallists'.
- The Rectangle represents 'Indians'.
- The Circle represents 'Players'.
- Locate the target area: We need to find the number of people who are "Medallists" AND "Indians". This means we must look for the area where the Triangle (Medallists) and the Rectangle (Indians) overlap.
- Identify the numbers in the overlap: Looking at the diagram, the intersection of the Triangle and the Rectangle contains two numbers:
- 36: This number is inside the Triangle and Rectangle but outside the Circle. It represents Indian medallists who are NOT players.
- 19: This number is inside the Triangle, Rectangle, AND Circle. It represents Indian medallists who ARE also players.
- Calculate the total: The question asks for the total number of Indian medallists. It does not specify whether they should be players or not. Therefore, we must sum all the numbers present in the overlapping region of the Triangle and Rectangle.
Total Indian Medallists = (Indian Medallists who are not Players) + (Indian Medallists who are Players)
Total Indian Medallists = 36 + 19 = 55
Core Logic: The solution requires finding the sum of all numerical values present in the common area (intersection) of the shapes representing 'Medallists' (Triangle) and 'Indians' (Rectangle).
Elimination of Incorrect Options:**
- Option 1 (36): This is incorrect as it only represents the Indian medallists who are not players. It excludes the 19 Indian medallists who are also players.
- Option 2 (50): This is an arbitrary number and does not correspond to any logical calculation from the diagram for this specific question. It is a distractor.
- Option 4 (19): This is incorrect as it only represents the Indian medallists who are also players. It excludes the 36 Indian medallists who are not players.
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