Answer:
"The year 1886 was marked by a strange event," begins Jules Verne's Twenty Thousand Leagues Under the Sea.
Explanation:
The third and fourth options can be discarded right away because the closing quotation mark just before the verb "begins" (which acts much like the verb "said" when narrating dialogue). Then, the first option is discarded because a comma at the end of the quotation (but within the quotation marks) is necessary to grammatically separate this clause from the main sentence, in the same way as when narrating dialogue too.
