The correct answer is option 3: Survey of India. The Survey of India is the organization responsible for preparing topographical maps of India. The organization was established in 1767 and is one of the oldest Survey Departments in the world. It is under the Department of Science and Technology and is headquartered in Dehradun, Uttarakhand.

Option 1: Geological Survey of India is not responsible for preparing topographical maps. It is primarily involved in geological mapping and mineral exploration.

Option 2: Archaeological Survey of India focuses on the preservation and protection of archaeological sites, monuments, and artifacts. It is not involved in topographical mapping.

Option 4: National Atlas and Thematic Mapping Organisation is responsible for producing thematic maps and atlases of India. While they may incorporate topographical information in their maps, they do not primarily focus on topographical mapping.

In conclusion, the organization that prepares topographical maps of India is the Survey of India.