Statements:
1. All cars are vehicles.
2. Some vehicles are trucks.
3. No truck is a bicycle.
Conclusions:
I. Some cars are trucks.
II. No car is a bicycle.
Correct: D
Let's represent the statements:
Statement 1: All cars are vehicles. (Cars circle is entirely inside Vehicles circle).
Statement 2: Some vehicles are trucks. (Trucks circle overlaps with a portion of the Vehicles circle).
Statement 3: No truck is a bicycle. (Trucks circle and Bicycles circle are separate).
Now, let's analyze the conclusions:
I. Some cars are trucks. Cars are inside Vehicles. Trucks overlap with Vehicles. However, the overlap of Trucks and Vehicles might or might not include the Cars part of Vehicles. There's no definite link to conclude 'Some cars are trucks'. So, Conclusion I does not necessarily follow.
II. No car is a bicycle. We know 'All cars are vehicles' and 'No truck is a bicycle'. Also, 'Some vehicles are trucks'. This means there are vehicles that are trucks and vehicles that are not trucks. Cars are vehicles. If a car is not a truck, it could potentially be a bicycle, as there is no direct link established between 'Cars' and 'Bicycles' through the premises that applies to all cars. So, Conclusion II does not necessarily follow.
Therefore, neither conclusion I nor II follows.