The correct answer is: Only assumption II is implicit.
The supervisor’s statement “You should not grant him leave in this week due to exigency of work” implies that the supervisor believes that the work that needs to be done during the week is important and cannot be done without the employee. This implies that the supervisor has reviewed the work required to be done during the said period. However, the statement does not imply that the supervisor has the authority to turn down the employee’s request for leave. It is possible that the supervisor is simply making a recommendation to the administrative officer, who has the final say on whether or not to grant the leave.
Assumption I: Request for leave can be turned down also.
This assumption is not necessarily implicit in the supervisor’s statement. The supervisor may believe that the employee’s request for leave should be turned down, but this does not mean that the supervisor has the authority to do so. It is possible that the administrative officer has the final say on whether or not to grant the leave.
Assumption II: The supervisor has reviewed the work required to be done during the said period.
This assumption is implicit in the supervisor’s statement. The supervisor’s statement “You should not grant him leave in this week due to exigency of work” implies that the supervisor believes that the work that needs to be done during the week is important and cannot be done without the employee. This implies that the supervisor has reviewed the work required to be done during the said period.