The correct option is A Work is a state function.
Work is not a state function, but it is a path function. That is clear. Let us look at the other options. Option b, c are true, this is from basic definititon of state function.
Option d is interesting. This is true since PV work would change the boundary of the system. If you take the system to be a gas, its volume would change if work is done on/by it.