Statement 1 is incorrect. The caves at Badami belong to the 6th century CE (Chalukya period). The oldest surviving rock-cut caves in India are generally considered to be the Barabar Caves, dating back to the Mauryan period (3rd century BCE). Statement 2 is incorrect. The Barabar rock- cut caves were indeed made for Ajivikas, but they were built by Emperor Ashoka (c. 268-232 BCE) and his successor Dasharatha, who were part of the Maurya dynasty but were not Chandragupta Maurya.