3 Set Venn Diagram (GMAT/GRE/CAT/Bank PO/SSC CGL) | Don't Memorise

TL;DR

Learn how to solve three-set Venn diagram problems by drawing the diagram correctly and moving outwards.

Transcript

pause the video and read this problem well it says that in a particular class 85 kids play football 70 to play cricket and 43 play tennis and the entire problem talks about these three spots some kids play too and some play all three spots and each kid plays at least one of the sports the fact that three spots are involved implies that it is a thre... Read More

Key Insights

• 🏈 The problem involves three sports: football, cricket, and tennis.
• 😫 Drawing a three-set Venn diagram is an effective approach.
• #️⃣ Starting in the center and moving outwards helps in determining the number of kids in different regions.
• 🖐️ The number of kids playing two or three sports can be deduced by considering the intersections.
• 🏛️ The total number of kids in the class is 200.
• 🖐️ 11 kids play cricket and tennis but not football.
• 🖐️ 20 kids play only football.

Questions & Answers

Q: How do we solve three-set Venn diagram problems?

To solve these problems, we start by drawing a three-set Venn diagram and then answer the questions based on the regions and intersections.

Q: How many kids are there in the class?

By adding up the number of kids playing each sport (85 + 70 + 43), we find that there are 200 kids in the class.

Q: How many kids play cricket and tennis but not football?

By excluding the four kids that play all three sports and considering only the intersection between cricket and tennis, we find that 11 kids play cricket and tennis but not football.

Q: How many kids play only football?

By looking at the region of the Venn diagram that represents only football, we find that 20 kids play only football.

Key Insights:

• The problem involves three sports: football, cricket, and tennis.
• Drawing a three-set Venn diagram is an effective approach.
• Starting in the center and moving outwards helps in determining the number of kids in different regions.
• The number of kids playing two or three sports can be deduced by considering the intersections.
• The total number of kids in the class is 200.
• 11 kids play cricket and tennis but not football.
• 20 kids play only football.
• Understanding the Venn diagram structure is crucial for solving three-set Venn diagram problems.

Summary & Key Takeaways

• In a class, 85 kids play football, 70 play cricket, and 43 play tennis.

• Some kids play two or three sports.

• By drawing a three-set Venn diagram, we can determine the total number of kids, the number of kids that play only football, and the number of kids that play cricket and tennis but not football.