Postganglionic parasympathetic fibers to the parotid join which nerve after leaving the otic ganglion?

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The key idea is how parasympathetic fibers reach the parotid gland after synapsing. Preganglionic parasympathetic fibers travel with CN IX and reach the otic ganglion, where they synapse. The postganglionic fibers then hitch a ride on the auriculotemporal nerve, a branch of the mandibular division (V3), to reach and innervate the parotid gland. So, after leaving the otic ganglion, these fibers join the auriculotemporal nerve to reach the parotid.

The other options don’t fit because the greater petrosal nerve carries preganglionic fibers to the pterygopalatine ganglion (not to the parotid), the glossopharyngeal nerve is the origin of the preganglionic fibers (before reaching the otic ganglion), and the zygomaticotemporal nerve is a branch related to lacrimal innervation, not the parotid.