Both lazy and eager loading can be suitable, depending on the specific requirements and use cases of the application. Lazy loading is beneficial for minimizing initial loading time and conserving resources by loading data on-demand. Eager loading, on the other hand, retrieves all necessary data upfront, suitable for scenarios where most related data is needed together, potentially reducing subsequent queries and improving responsiveness. Hence, both can be valid options depending on the context.

Implementing explicit loading with filters would be the most appropriate approach in this scenario. Explicit loading provides fine-grained control over which related data to load, allowing developers to specify filters based on certain conditions. This ensures that only the necessary subset of related data is loaded, optimizing performance and reducing unnecessary data retrieval. Eager loading would load all related data upfront, potentially retrieving more data than needed, while lazy loading might result in multiple round-trips to the database, which is less efficient. No loading with filters would not retrieve any related data, defeating the purpose of the requirement.

The Average method in Entity Framework is used to compute the average value of a numeric column within a dataset or query result set. It calculates the mean value of all numeric values present in the specified column.

Dynamic Proxies are used by Entity Framework to enable lazy loading. Lazy loading is a technique where related objects are automatically loaded from the database when you access a navigation property. Dynamic Proxies are generated by Entity Framework to enable lazy loading behavior for entity types.

Deferred loading is crucial in scenarios with disconnected entities to prevent unintended data retrieval from the database. In disconnected scenarios, you typically load entities, detach them from the context, and then work with them. Deferred loading allows you to delay the loading of related entities until they are explicitly requested, helping to optimize performance and reduce unnecessary data retrieval.

The Sum method in Entity Framework is used to calculate the total sum of a numeric column within a dataset or query result set. It is particularly useful for calculating the total monetary value, quantity, or any other numerical aggregation.

The Count method in Entity Framework is used to determine the total number of entities present within a DbSet or query result set. It simply returns the count of entities without considering any specific property.

The correct option is "Min." The Min function in Entity Framework is used to find the minimum value of a property across all entities in a DbSet. It retrieves the smallest value of the specified property from the entities in the DbSet. This function is useful when you need to find the smallest value of a particular property, such as the minimum age or the minimum salary in a collection of entities.

The correct option is "Max." In Entity Framework, you can use the Max function to return a single value representing the maximum value of a specified column. This function is particularly useful when you need to find the maximum value of a specific property across all entities in a DbSet. For example, you might use the Max function to find the maximum salary or the maximum age among a collection of entities.

The correct option is "Sum calculates the sum of values in a specified column, whereas Aggregate can perform various aggregate functions such as sum, average, minimum, maximum, and more." The Sum method in Entity Framework specifically calculates the sum of values in a specified column, while the Aggregate method is more versatile and allows for performing various aggregate functions beyond just summing values. Aggregate can handle complex scenarios where you might need to compute multiple aggregations simultaneously or apply custom logic during aggregation.