Beneficial methodologies for constructing strong argumentative essays in UPSC involve clear structuring, logical reasoning, and comprehensive research. Candidates should start with a strong thesis statement followed by clearly articulated arguments and counterarguments. Incorporating relevant examples and data strengthens the position taken. It's also essential to maintain a balanced tone, acknowledging differing views while persuasively supporting one's argument. Reviewing and revising drafts is crucial for clarity and cohesion, ensuring that the final essay presents a well-rounded, compelling argument.