The correct option is A, that is, BOTH PROTISTS AND FUNGI ARE EUKARYOTIC.
Protists are highly diverse group of organisms which can be single celled or multi celled and they have eukaryotic cell type. Fungi are group of eukaryotic organisms that include organisms such as yeast, mushroom, molds, etc. Fungi have eukaryotic cells. Thus, both protists and fungi have eukaryotic cells.
Option B is wrong because fungi do not carry out photosynthesis.
Option C is wrong because fungi have cell wall.
Option D is wrong because fungi are heterotrophs.