The primary aims of the Indian Constitution relevant to UPSC include establishing justice, ensuring freedom, guaranteeing equality, and promoting fraternity among citizens. It provides a framework for good governance by defining the separation of powers and protecting fundamental rights. Furthermore, it supports democratic principles and facilitates social, economic, and political advancements for all citizens. Understanding these aims is crucial for aspirants as they help frame the larger context of civil service responsibilities and the ethical conduct expected of public servants.