Question

The following diagram shows the number of people who play table tennis, Chess, Carrom and Ludo. If the total number of people is 600, then what is the number of people who play Chess and Ludo but not Carrom? 

• A. 3
• B. 4
• C. 10
• D. 8
• E. 5

Hint:

When solving Venn diagram problems with 4 sets, focus strictly on the boundaries of the circles mentioned. Ignore the "Total Number" unless you are asked for a percentage or if a region's value is missing.

Answer 1

The Correct Option is B

Concept:
In a Venn diagram with multiple overlapping sets, the intersection regions represent people who belong to two or more categories. To find a specific group (e.g., "A and B but not C"), we look for the region where circles A and B overlap, then exclude any part of that overlap that falls inside circle C.

Step 1: Identify the required region.
We are looking for people who play:
• Chess (Upper right circle)
• Ludo (Bottom right circle)
• NOT Carrom (Bottom left circle)

Step 2: Extract the value from the diagram.
• Look at the intersection between the Chess circle and the Ludo circle.
• There are two numbers in this intersection area: 3 and 4.
• The number 3 is located within the Carrom circle (it represents people who play Chess, Ludo, and Carrom).
• The number 4 is located outside the Carrom circle. Therefore, the number of people who play Chess and Ludo but not Carrom is 4.
Note: The information about the total number of people (600) is extra data in this specific question, as the diagram already provides the raw counts for each sub-region.