Statement: "Though the candidates have been instructed to bring pencils, yet…

In a Statement-and-Assumption question, an assumption is an unstated premise that the statement necessarily takes for granted, not merely something the statement additionally suggests. A candidate claim is implicit only if it is required for the statement to hold; it fails if the statement is silent on it, or if it actually runs counter to the statement's own logic.

Applying this to the given statement: administration staff are told that even though candidates have already been instructed to bring their own pencils, invigilators should still keep some spare pencils with them.

• Assumption I ("Pencils are in short supply"): The statement is about a precaution for individual test-takers, not a claim about overall pencil availability. Keeping a few spares with each invigilator is a routine contingency measure regardless of whether pencils are scarce elsewhere, so this claim goes beyond what is stated.

• Assumption II ("All the candidates will bring the pencil"): If everyone were certain to comply, there would be no reason to arm invigilators with spares at all. The instruction exists precisely because full compliance is NOT taken for granted, so this claim runs counter to the statement's own rationale rather than being implicit.

Cross-check: assume II were true - then the backup-pencil instruction would serve no purpose, contradicting the statement, so II cannot be implicit. Assume I were true - then the statement should reference scarcity or rationing, which it does not; the instruction is precautionary, not a supply claim. Both checks confirm neither claim is required by the statement.

Hence neither assumption I nor II is implicit in the statement.