After the Mycenaeans defeated the Minoans,

they captured the Minoans and enslaved them.

they adopted elements of the Minoan culture.

the Minoans built all the ships in Peloponnese.

the Mycenaeans destroyed the island of Crete.

The correct answer is "they adopted elements of the Minoan culture".

Explanation:

The Mycenaeans and the Minoans were two ancient cultures of Greece, living in the mainland and in the islands of Greece, respectively. When the Minoans started to decline around 1450 BC, the Mycenaeans conquered their islands and adopted the Minoans culture. Specifically, the Mycenaeans adopted the writing of the Minoans, developing a new language called "Linear B" ("Linear A" was the language of the Minoans).