A thermodynamic state function is a quantity
(i) used to determine heat changes
(ii)whose value is independent of path
(iii) used to determine pressure volume work
(iv) whose value depends on temperature only.
A thermodynamic state function is a quantity whose value is independent of a path.
Functions like p, V, T etc. depend only on the state of a system and not on the path.
Hence, alternative (ii) is correct.