Explanation:

• The greatest ruler of the Satavahana dynasty was Gautamiputra Satakarni. He ruled for a period of 24 years from 106 to 130 A.D. He captured the whole of Deccan and expanded his empire. His victory over Nagapana, the ruler of Malwa was remarkable. He called himself the only Brahmin who defeated the Sakas and destroyed many kshatriya rulers and is considered the real founder of Satavahanas dynasty. Hence, statement 2 is correct.
• Vashishti Putra Pulamayi (son of Gautamiputra Satakarni)  extended the Satavahana power up to the mouth of the Krishna river. He issued coins on which the image of ships was inscribed.
• Images on coins reveal the naval power and maritime trade of the Satavahanas overseas. Silver coins called Karshapanas were used for trade. Hence, statement 1 is correct.
•  The Satavahanas patronized Buddhism and Brahmanism as:
• They built chaityas and viharas.
• They also made grants of villages and lands to Buddhist monks.
• Vashishtaputra Pulamayi repaired the old Amaravathi stupa.
• Brahmanism was revived by the Satavahanas along with the performance of asvamedha and rajasuya sacrifices. z? Satavahanas were the first to make land grants to the brahmins.
• They also patronized the Prakrit language and literature.  Hence, statement 3 is NOT correct.
• They knew the art of paddy transplantation (Krishna Godavari delta).
• The Satavahanas shows traces of Matrilineal society. Basically the Satavahanas family was patriarchal because the succession to the throne passed to the male member.
• Architecture- Karle chaitya, Nasik Chaitya, Amaravati and Nagarjunakonda stupa