The correct answer is: Only I and III are implicit.
The statement is about the condition of the labour and industrial courts in State X. It says that several of these courts have no proper premises and that vacancies of judges and stenos are kept pending.
Assumption I is that adequate number of staff and judges helps in the smooth functioning of the industrial and labour courts. This is a reasonable assumption. If there are not enough judges and stenos, the courts will not be able to function efficiently.
Assumption II is that the State is not bothered about the condition of the labour and industrial courts. This is not a reasonable assumption. The statement does not say anything about the State’s attitude towards the condition of the courts. It is possible that the State is concerned about the condition of the courts, but is unable to do anything about it due to lack of funds or other resources.
Assumption III is that physical facilities of an office help in increasing efficiency of its employees. This is a reasonable assumption. If the offices of the labour and industrial courts are in poor condition, it will be difficult for the judges and stenos to work efficiently.
Therefore, only assumptions I and III are implicit in the statement.