Cholesterol is a type of fat that is found in animal-based foods. Option 1, groundnut oil, is derived from peanuts and is a plant-based oil. Plant-based oils do not contain cholesterol, so option 1 is correct. Option 2, butter oil, is derived from milk and does contain cholesterol. Option 3, buttermilk, is a dairy product made from milk and also contains cholesterol. Option 4, ice cream, is typically made with milk and cream, which are both sources of cholesterol. Therefore, option 4 also contains cholesterol. In summary, groundnut oil is the only option provided that is cholesterol-free.