Your responses are accurate. Here’s a summary of the correct answers for the questions:
(1) The goal of Buddhism can be described as relieving suffering. - Correct
(2) The ultimate goal of Hinduism can be described as rejoining the soul to Brahman. - Correct
(3) The events that led to the spread of Buddhism during Asoka’s reign can be best explained by: Asoka rose to power through civil war. Asoka took over Kalinga by force. Asoka adopted Buddhism. Asoka became a just and compassionate ruler. - Correct
(4) The origins of Daoism could be described as evolving from the philosophies found in ancient religious practices. - Correct
If you have any more questions or need further clarification, feel free to ask!