Explanation:

Only statement 2nd is correct.

• Pandavula Gutta, a geological marvel older than the Himalayan hills, has been officially recognised as the sole Geo-heritage site in Telangana.

• Statement 1 is incorrect: Geo-Heritage Sites in India are recognized and protected by the Geological Survey of India (GSI) and the respective State governments.

• They are geological features of significant importance, either culturally or inherently, that provide insights into the Earth’s evolution or serve educational purposes.

• Statement 2 is correct: As of March, 2024 ,there are 34 notified National Geological Heritage Monument Sites of India. 

• Examples Lonar Lake in Maharashtra, Ramgarh Crater in Rajasthan, St. Thomas Charnockite in Tamil Nadu etc.

Hence option 2nd is correct.