CONCEPT:A state function is a property whose value does not depend on the path taken to REACH that specific function or value. In essence, if SOMETHING is not a path function, it is probably a state function. Path FUNCTIONS are functions that depend on the path taken to reach that specific value.In state function, multiple processes results in one value but in path function, multiple steps results in different values. State function depends on the state of the SYSTEM while the path function depends on how the system’s state has been established.Hence, we know that heat and work are not state functions but q + w = ∆U (Definite quantity) is a state function. H – TS (i.e., G) is also a state function. In essence, heat and work changes in every step of the process hence they are path functions.Thus, option (a) is the correct answer.