The correct option is A Potato - Eye buds - Natural
Vegetative propagation is a kind of reproduction in plants, where a new plant is produced from any vegetative part of the plant, e.g. root, stem and leaf. It can be natural or artificial.
Artificial methods of vegetative propagation include cutting, layering, grafting and tissue culture.
Natural methods of vegetative propagation are sucker, runner, stolon, offset, leaf buds, etc.
Vegetative propagation in Potato takes place through eye buds formed on the tuber. It is a natural form of vegetative propagation.
There is no vegetative propagation in case of Papayas.
Grafting, an artificial method, is used in case of Roses, in which stems from two plants are joined and made to grow together.
There is no vegetative propagation in Mangoes.