Answer: Spread/ Reverberated
Explanation:
Rumors of a new principal spread down the halls of the hectic and chaotic high school.
As there are no options given, I gave the best response I could.
When rumors are passed along from person to person, it is said to be spread. If there are rumors of a new principal therefore, the most likely word to fill the space would have to be "spread" which would show that the rumors of a new principal are being passed around the school.
