Sets & Venn Diagrams-4 Possible Types of Questions YouTube Lecture Handouts

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Sets & Venn Diagrams - 4 Possible Types of Questions

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Venn diagram

Terminology

  • Sample/Universe

  • Subset Equation

  • Element Equation

  • Union Equation

  • Intersection Equation

  • Complement Equation

  • Finding A, B, Equation , Equation , Equation and Equation

Image of Terminology

Image of Terminology

Image of Terminology

Problems on Visualization

Image of Problems on Visualization

Image of Problems on Visualization

Image of Problems on Visualization

Keywords to Look for!

  • Only Regions

  • Both Region

Image of Only Regions And Both Region

Image of Only Regions and Both Region

Image of Only Regions And Both Region

2 Circle Venn Diagram – Visualization

There are 200 students in all. 140 opt for Math, 100 opt for Biology and all of them have atleast opted for one of the subjects.

1. How many of them opted for both the subjects?a. 60

b. 80

c. 40

d. Can’t Say

2. How many of them opted for Math only?a. 100

b. 60

c. 40

d. Can’t Say

3. How many of them opted for Biology only?a. 100

b. 60

c. 40

d. Can’t Say

Problem Keywords

  • Only Regions

  • Atleast Regions

  • At-Most Regions

  • All Three (four etc.)

Image of Problems Keywords

Image of Problems Keywords

Image of Problems Keywords

3 Circle Venn diagram – Visualization

60 drink tea, 70 drink coffee, 80 drink cold drink. Among these, there are 20 preferring tea & coffee, 25 prefer tea & cold drink and 30 prefer coffee & cold drink. 5 students prefer tea, coffee and cold drink.

  • Total Students who prefer at least one drink?

  • Students who prefer coffee only?

  • Students who prefer cold drinks only?

Out of 210 candidates, 105 were offered tea, 50 were offered juice, and 56 were offered water. 32 were offered tea and juice, 30 were offered juice and water, and 45 were offered water and tea.

Q. Find maximum and minimum number of candidates who were offered all three?

Q. Find maximum and minimum number of candidates who were offered at least one of these?