Final answer:
A problem that can be approached rationally, logically, objectively, and systematically is typically solved using scientific methods, which involve a cycle of hypothesis, experimentation, observation, and conclusion with flexibility to adapt to new findings.
Step-by-step explanation:
When a problem can be approached in ways that are rational, logical, objective, and systematic, it means that the problem can be solved using scientific methods and evidence. This approach involves careful analysis and evaluation of alternate solutions, recognizing that there can often be more than one viable answer to a problem. The process aligns closely with the scientific method, which includes making observations, defining a problem, formulating hypotheses, conducting experiments, and drawing conclusions. It is flexible and allows for adaptation based on new information, making scientific reasoning complex and dynamic. Moreover, the problem-solving abilities gained can be applied to new and varying situations, showcasing the utility of such skills beyond academic exercises into everyday and professional life.