The correct options are
C Since
D As
A conjunction combines or connects two sentences as one. From the given sentences, the latter is dependent on the former for its complete meaning, hence while joining them, the latter is the subordinate clause. When one clause is dependent on the other for its full meaning, a subordinating conjunction is used. The subordinate clause "He had not studied" is the cause or reason for the action in the main clause "He failed the exam", hence a conjunction which represents 'cause' is used. 'Since' is used in cause-related sentences, as it refers to the cause "had not studied", hence option C is correct. Similarly, 'as' also refers to the cause, hence even option D is correct. 'For' is an Illative conjunction, it is used when one statement or fact is provided or inferred from another, whereas here it's the opposite, the subordinate clause is not derived from the main clause, but it's the reason due to which the main clause takes place. Moreover, 'for' is a coordinating conjunction used when both clauses are independent on their own, whereas here, one is dependent on the other. Hence option A is incorrect. 'However' is a conjunction used in contrast-related sentences, when both the clauses have opposite meanings, whereas here they don't, one's the cause for the other. Hence option B is incorrect.