Consider the following statements with reference to Ajanta caves:
1. Ajanta is the only surviving example of a painting of the first century BCE and the fifth century CE.
2. The Mahayana sect of Buddhism started the excavation of caves in Ajanta.
Which of the statements given above is/are correct?
1. 1 only
2. 2 only
3. both 1 and 2
4. Neither 1 nor 2