Final answer:
Neptunium-233 (233Np) is the nuclide most likely to be radioactive and synthetic because its atomic number is beyond the stability threshold of 83, making it unstable and radioactive.
Step-by-step explanation:
The nuclide most likely to be radioactive and synthetic among the options provided is c) 233Np (neptunium-233). Neptunium is an element with atomic number 93, which is beyond the atomic number 83 - the point beyond which all nuclides are considered to be unstable and thus radioactive. This nuclide is not found in nature and is created artificially; hence it is synthetic. Another synthetic and radioactive nuclide from the list provided would be f) 230Po (polonium-230), but 233Np is more within the context given that all elements with atomic numbers greater than 83 are unstable and typically radioactive.