Question

Byzantine influence can be seen in Russian literature because

the Russians allowed only literature from the Byzantine Empire into the country.
educated Russians read all the Greek classics.
the Russians translated Greek and religious texts into Russian.
Russians following the Eastern Orthodox religion read only religious texts.

Answer 1

the Russians translated Greek and religious texts into Russian.

After the Christianization of Kievan Rus' (late 10th century) Byzantine clergy, liturgy, and books came with missionaries; texts were translated into Old Church Slavonic/early Russian, which shaped vocabulary, themes, genres (hagiography, sermons, chronicles) and literary style.