The correct answer is: Only assumption II is implicit.
The statement says that the General Administration Department has issued a circular to all the employees informing them that henceforth the employees can avail their lunch break at any of the half-hour slots between 1.00 p.m. and 2.30 p.m. This means that the employees are now free to choose their own lunch break time.
Assumption I is that the employees may welcome the decision and avail lunch break at different time’s slots. This is a possible assumption, but it is not necessarily true. The employees may not welcome the decision, or they may not be able to avail lunch break at different time slots due to other commitments.
Assumption II is that there may not be any break in the work of the organization as the employees will have their lunch break at different time slots. This is a more likely assumption, as it is in the interest of the organization to ensure that the work does not suffer.
Therefore, only assumption II is implicit in the statement.