The correct answer is: C. Either I or II is implicit.
The statement “Without reforming the entire administrative system, we cannot eradicate corruption and prejudice from the society” does not imply that the existence of corruption and prejudice is good. It is possible to believe that corruption and prejudice are bad, but that they are so deeply ingrained in the administrative system that they cannot be eradicated without a complete overhaul.
The statement also does not imply that there is enough flexibility to change the administrative system. It is possible to believe that the administrative system is too rigid to be changed, and that corruption and prejudice will therefore continue to exist.
Therefore, either assumption I or assumption II is implicit in the statement.