Final answer:
The olfactory nerve, also known as cranial nerve I, is responsible for carrying sensory impulses for the sense of smell directly to the cerebrum. Option A is correct among the option provided in the questions.
Step-by-step explanation:
The cranial nerve responsible for the sense of smell is the olfactory nerve, which is designated as cranial nerve I (CN I).
This nerve carries sensory impulses for olfaction directly to the cerebrum, allowing us to perceive different odors.
Thus, for the question regarding which cranial nerve carries impulses for the sense of smell, the correct answer is Option A is correct among the option provided in the questions.