A mathematical-model with a collection of operations defined on that model is calleda.Data Structureb.Abstract Data Typec.Primitive Data Typed.Algorithm

Identifying the Correct Answer

To determine the correct answer from the options given, we must analyze the definitions of each term:

1. Data Structure: This refers to a particular way of organizing and storing data in a computer so that it can be accessed and modified efficiently. Data structures are often tied to specific algorithms but do not themselves define a set of operations on their own.

2. Abstract Data Type (ADT): This is a mathematical model for data types where a data type is defined by a set of values and a set of operations that can be performed on those values. ADTs allow the implementation of data structures while abstracting away the complexity, focusing instead on what operations are performed rather than how.

3. Primitive Data Type: These are the basic data types provided by a programming language as building blocks. Common examples include integers, booleans, and characters. They do not involve a collection of operations.

4. Algorithm: This refers to a step-by-step procedure or formula for solving a problem, not specifically related to operations on a set of data.

Conclusion

Based on these definitions, an "Abstract Data Type" (option b) is the term that defines a mathematical model with a collection of operations defined on that model.

Final Answer

b. Abstract Data Type