Select the Venn diagram that accurately depicts the relationship between the sets 'Electric vehicles', 'Cars', and 'Bicycles', considering overlap and mutually exclusive categories.
- AA
- BB
- CC
- DD
Solution & Step-by-step Explanation
Let's analyze the real-world logical relationships between the three categories:
1. Cars and Bicycles: These are completely mutually exclusive categories of vehicles. No car can be a bicycle, and no bicycle can be a car. Therefore, their circles must not overlap.
2. Electric vehicles and Cars: Some cars run on electricity (Electric Cars), so these two sets intersect.
3. Electric vehicles and Bicycles: Some bicycles are equipped with electric motors (Electric Bicycles or e-bikes), so these two sets also intersect.
To represent this accurately:
* The circle for Electric vehicles must be placed in the middle.
* It must intersect with the circle for Cars on one side and the circle for Bicycles on the other side.
* The circles for Cars and Bicycles must remain completely separated from each other.
This arrangement corresponds exactly to the configuration shown in Option C.
1. Cars and Bicycles: These are completely mutually exclusive categories of vehicles. No car can be a bicycle, and no bicycle can be a car. Therefore, their circles must not overlap.
2. Electric vehicles and Cars: Some cars run on electricity (Electric Cars), so these two sets intersect.
3. Electric vehicles and Bicycles: Some bicycles are equipped with electric motors (Electric Bicycles or e-bikes), so these two sets also intersect.
To represent this accurately:
* The circle for Electric vehicles must be placed in the middle.
* It must intersect with the circle for Cars on one side and the circle for Bicycles on the other side.
* The circles for Cars and Bicycles must remain completely separated from each other.
This arrangement corresponds exactly to the configuration shown in Option C.