Which of these statements best describes Algorithms?

The statement that algorithms are sets of instructions that solve problems accurately captures the essence of what an algorithm is. An algorithm is defined as a finite sequence of well-defined instructions or steps designed to perform a specific task or solve a particular problem. This can include anything from mathematical computations, data processing, to logical reasoning processes, and more.

By highlighting that algorithms can be utilized to solve problems, it acknowledges their broad applicability across various fields, including mathematics, computer science, and everyday life. Furthermore, it emphasizes that algorithms can function independently to deliver solutions, showcasing their self-sufficiency in executing a defined process without the need for continuous human intervention.

The other options do not encapsulate the full scope of algorithms. For instance, stating that algorithms are exclusively non-mathematical procedures limits their definition, as many algorithms depend heavily on mathematical concepts and logic. Describing algorithms solely as computer programs overlooks the fact that they can also be implemented in non-computer contexts, such as in manual processes. Lastly, suggesting that algorithms require human guidance for every step contradicts the fundamental nature of algorithms, which are designed to automate processes and are often executed without the need for ongoing human input once they are defined.