The correct answer is (a) Buddhism.
Buddhism does not believe in a creator god or a final annihilation of the world. Instead, it teaches that the world is cyclical, with periods of creation and destruction following each other in an endless cycle.
Jainism, Hinduism, and Islam all believe in a creator god and a final annihilation of the world. In Jainism, the world is created by the god Mahavira, who then destroys it at the end of each cycle. In Hinduism, the world is created by the god Brahma, who then destroys it at the end of each kalpa (aeon). In Islam, the world is created by the god Allah, who then destroys it at the end of time.
It is important to note that these are just brief descriptions of each religion’s beliefs. There is much more to each religion than what is covered here.