Sprinkler systems, though seemingly simplistic in design, are a complex amalgamation of hydraulic principles, soil science, and horticultural needs. When something goes wrong, it requires the expertise of a professional repair company. However, the selection of a suitable business entity to meet your needs can be an arduous task. This discussion will strive to simplify this process by providing seven crucial inquiries one should pose to a potential sprinkler repair company.

The first query should be about the company's experience and expertise. This is an amalgamation of the principle of longevity, as advanced by Robert Cialdini in his book, "Influence: The Psychology of Persuasion". Essentially, this principle suggests that businesses that have been operational for extended periods are likely to offer superior services. Additionally, it evokes the cognitive theory of learning, which states that expertise is acquired over time and through repetitive exposure to an activity. Therefore, a sprinkler company with decades of experience is likely to have the necessary technical knowledge and operational efficiency.

The second question to pose revolves around the company's certification and licensing. As John Rawls argues in his Theory of Justice, a well-ordered society necessitates the operation within a framework of public laws. In this context, reputable sprinkler repair companies should be licensed by the relevant regulatory bodies. This serves as a testament to their compliance with the rules and regulations governing the industry, hence enhancing their credibility.

Thirdly, question the repair company about their insurance coverage. This borrows from the economic concept of risk management. In case of any unforeseen damages during the repair process, an insured company will cover the costs, thus shielding you from any financial losses. This is a crucial aspect, as it demonstrates the company's commitment to ensuring their client's interests are safeguarded.

The fourth question to consider delves into the specific services that the company offers. According to the market segmentation theory, companies specialize in various niches to effectively cater to diverse customer needs. A company that offers comprehensive sprinkler services, from installation, repair, to maintenance, is likely to possess a more profound understanding of the sprinkler system dynamics, thus being more capable of diagnosing and resolving the problem.

Fifth, inquire about the company's pricing structure. This is in line with the economic theory of price elasticity. Essentially, the price ought to reflect the value of the service. It is prudent to compare the prices against the market average to ascertain their competitiveness while taking into account their level of expertise and service quality.

Sixth, probe into the company's approach to customer service. This is related to the social psychology concept of reciprocity. Companies that exhibit excellent customer service are likely to foster positive business-client relationships. This can be gauged from the company's responsiveness to inquiries, clarity of communication, and overall presentation.

Finally, ask for references or testimonials from their past clients. This directly correlates with the mathematical principle of statistical significance. A large number of positive reviews indicate the likelihood of a company providing satisfactory services.

In conclusion, selecting the appropriate sprinkler repair company is a multifaceted decision-making process, encapsulating principles drawn from diverse disciplines: psychology, law, economics, and even mathematics. The seven questions we have discussed provide a comprehensive framework for narrowing down your selection to a company that is not only competent but also aligns with your specific needs and expectations. It is, however, important to remember that these questions are not exhaustive and should be tailored according to the unique context of one's needs.