With reference to the history of Indian rock-cut architecture, consider the following statements

With reference to the history of Indian rock-cut architecture, consider the following statements :
1. The caves at Badami are the oldest surviving rock-cut caves in India.
2. The Barabar rock-cut caves were originally made for Ajivikas by Emperor Chandragupta Maurya.
3. At Ellora, caves were made for different faiths.

Which of the statements grven above is/are correct?
(a) 1 only
(b) 2 and 3 only
(c) 3 only
(d) l, 2 and 3