The correct option is
A Holozoic
A. Holozoic nutrition is a kind of heterotrophic nutrition which involves the ingestion of solid or liquid food particles and processing them inside the body of organism i.e. intracellularly.
B. Holophytic nutrition is autotrophic nutrition and is found in plants in which the organisms prepare their food by using inorganic material and solar energy or chemical energy.
C. Saprozoic nutrition is a kind of nutrition found in some protozoans and fungi, which absorb organic and inorganic materials from the dead and decaying matter.
D. Mixotrophic nutrition involves both autotrophic and heterotrophic nutrition. An organism showing mixotrophic nutrition, such as Euglena, photosynthesizes in presence of light and switch to the heterotrophic mode of nutrition in absence of light.
In sponges, mouth and digestive cavity are lacking. They ingest solid food and the digestion is intracellular (occurs in food vacuoles). Hence, they have a holozoic mode of nutrition.
So, the correct answer is 'Holozoic'.