Final answer:
A 25-year-old with painless enlarged lymph nodes without signs of infection or trauma is most likely to be diagnosed with Hodgkin's lymphoma.
Step-by-step explanation:
The most likely diagnosis for a 25-year-old graduate student who presents with a 4 cm, rubbery, nontender supraclavicular lymph node, alongside numerous 1-2 cm enlarged cervical and axillary nodes, with normal blood work and without signs of infection or fever, is C. Hodgkin's lymphoma. Hodgkin's lymphoma typically presents with painless lymph node enlargement and the absence of symptoms like fever, night sweats, and weight loss can still be compatible with this diagnosis. Considering the lack of any indication of trauma, infection, or other specific syndromes (like Felty's syndrome), the characteristics of these nodes and the clinical context are well-aligned with the typical presentation of Hodgkin's lymphoma.