Which patient meets the criteria for diabetes mellitus diagnosis?

The criteria for diagnosing diabetes mellitus include specific glucose levels and the presence of symptoms. In this case, the option that correctly identifies a patient who meets the criteria for diabetes is the one that mentions polyuria, blurry vision, and a random glucose level of 200 mg/dL.

This is significant because any random plasma glucose level of 200 mg/dL or higher in a patient with classic symptoms of hyperglycemia (such as polyuria and blurry vision) is sufficient for a diabetes diagnosis, regardless of other tests. This aligns with the diagnostic criteria set by the American Diabetes Association, which allows for both laboratory tests and clinical presentation to confirm diabetes.

Regarding the other scenarios, while some may present with abnormal glucose levels, they do not capture the same combination of symptomatic presentation and high glucose level that leads definitively to a diabetes diagnosis. Thus, the presence of both symptoms and the specified random glucose reading in the correct choice is crucial for this diagnosis.