Step 1: Concept
Diabetes mellitus screening requires checking plasma glucose levels or markers of long-term glycemic control.
Step 2: Meaning
Glycated hemoglobin ($\text{HbA}_{1\text{c}}$) measures the percentage of hemoglobin molecules that have glucose chemically bound to them. This indicates average blood sugar control over the past 2 to 3 months.
Step 3: Analysis
* Fasting and postprandial tests (A and B) measure blood sugar at a single point in time and are easily altered by recent meals, physical stress, or fasting duration.
* The glucose tolerance test (D) requires drinking a sugary solution followed by multiple blood draws over several hours, making it time-consuming and dynamic.
* The $\text{HbA}_{1\text{c}}$ test (C) does not require fasting, can be performed at any time of day, and offers a stable, long-term picture of glycemic control that avoids daily blood sugar fluctuations. This makes it the easiest and most reliable diagnostic tool for diabetes.
Step 4: Conclusion
Therefore, $\text{HbA}_{1\text{c}}$ provides the most effective single-draw diagnostic screening tool, corresponding to option C.
Final Answer: (C)