When using a DataAdapter to fill a DataSet, the commonly used SQL statement is SELECT. This statement is used to retrieve data from a database based on specified criteria. It allows you to fetch data from one or more tables, apply filters, and define the order of results. By executing a SELECT statement, the DataAdapter retrieves the requested data and fills it into the DataSet for further manipulation and analysis within the application.

Advanced data binding in ADO.NET often requires using data transformers to manipulate data before displaying it. These transformers can perform operations like formatting, filtering, or aggregating data to suit the presentation requirements.

Proper error handling in ADO.NET transactions often involves using try-catch blocks to handle exceptions. A try-catch block allows developers to handle exceptions gracefully by catching and handling errors that may occur during transaction processing, ensuring robustness and reliability in application behavior.

DataAdapters are database-agnostic, meaning they can work with various database providers without requiring changes to the application code. This flexibility allows developers to switch between different database systems such as SQL Server, Oracle, and SQLite seamlessly, simply by changing connection strings or configurations.

A DataSet in ADO.NET serves as an in-memory representation of a complete set of data, typically including multiple DataTables, relationships between them, and constraints. It allows for offline manipulation and caching of data, often used in disconnected scenarios or when working with multiple related tables.

In Entity Framework, if you don't specify a mapping for an entity class, Entity Framework creates a default mapping based on naming conventions. This means that the table name will be inferred from the entity class name, and column names will be inferred from the property names.

The .AsNoTracking() method in LINQ to Entities is used to prevent entities from being tracked by the DbContext. This can improve performance in scenarios where entities are read but not modified, as tracking entities that won't be updated is unnecessary overhead. However, it's essential to consider the trade-offs, as using .AsNoTracking() means entities will not be automatically updated with changes made in the database.

The significance of the DataAdapter's FillSchema method is that it defines the schema of the dataset based on the schema of the data source. This allows for the creation of a dataset with the appropriate structure to accommodate the data retrieved from the data source. It is particularly useful when the dataset needs to be populated with data from a data source whose schema may change over time.

LINQ queries can be written in both query syntax and method syntax. Method syntax involves using extension methods and lambda expressions, making "Method" the correct option for the second blank.

The correct option is 'Deletion or Removal'. The DeleteOnSubmit method in LINQ to SQL is used to mark an entity for deletion. It does not immediately delete the entity from the database but rather flags it for deletion. The actual deletion occurs when the SubmitChanges method is called on the DataContext. This method is commonly used to prepare objects for deletion before committing changes to the database.