Partial dependency is a form of dependency when non-prime attributes is functionally dependent on a part of the candidate key.
To better understand this, we need to know what candidate key and non-prime attributes are.
Using the example above
(PROJ_NUM, EMP_NUM, PROJ_NAME, EMP_NAME, JOB_CLASS, CHG_HOURS, HOURS) is a functional dependency.
(EMP_PROJ) is the candidate key.
Other attributes, such as NUM, NAME, HOURS, JOB and CLASS are non-prime attributes.
Of all the options only option A is correct, as it non-prime attributes (NUM and NAME) that functionally depend on a part of the candidate key (PROJ).