Venn Diagram

What is the purpose of a Venn diagram?

• To visually represent the relationships between different sets or groups of data.
• To calculate the area of a circle
• To organize data in a table
• To write computer code

In a three-set Venn diagram, what does the intersection of all three sets represent?

• Elements unique to each set
• Elements in only two sets
• Common elements to all three sets
• Elements not present in any set

If Set A contains 20 elements, Set B contains 30 elements, and Set C contains 40 elements, how many elements are in the union of all three sets?

• 50
• 70
• 110
• 90

In a three-set Venn diagram, how many regions are there in total?

• 4
• 10
• 12
• 8

1. True or False: In a Venn diagram, the entire rectangle represents the universal set.

• True
• Sometimes
• Partially true
• False

If a three-set Venn diagram has 100 elements in total, and each region contains 10 elements, how many elements are in the intersection of all three sets?

• 10
• 20
• 30
• 40

In a three-set Venn diagram, if Set A contains 40 elements, Set B contains 30 elements, and Set C contains 50 elements, and the intersection of A and B contains 10 elements, how many elements are in the union of all three sets?

• 90
• 120
• 110
• 70

How many elements are in the complement of Set A if the universal set contains 100 elements and Set A contains 60 elements?

• 20
• 50
• 70
• 40

If Set A contains 50 elements, Set B contains 60 elements, and the intersection of A and B contains 20 elements, how many elements are in the intersection of A and C if the union of all three sets contains 100 elements?

• 30
• 10
• 40
• 50

1. True or False: In a Venn diagram, the elements in the overlapping regions belong exclusively to one set.

• True
• Partially true
• Sometimes true
• False