Correct Answer: (b) 3 only
Solution:Mahabalipuram (Mamallapuram) is located on the hillock town, overlooking the Coromandel coast of Bay of Bengal in Chengalpattu district of Tamil Nadu. It is also called "Mahadapas Rock Cut Caves. It was established during 7 to the 10th century of Pallava dynasty. Whereas Ajanta Caves in Chhatrapati Sambhaji Nagar district of Maharashtra including 30 Rock-cut caves were built in 2nd century B.C. to 7th century AD. Thus, both were not built in the same period. So, statement (1) is wrong. Both Ajanta and Mahabalipuram are rock cut-monument. So, statement (3) is correct. Mahabalipuram Monuments are related to Shiva or Vishnu whereas Ajanta has series of 29 Buddhist Cave Temple. Thus, statement (2) is also incorrect.