Final answer:
The kingdoms Eubacteria and Archaebacteria consist of prokaryotic cells and reproduce asexually through methods such as binary fission. Animalia and Plantae can reproduce both sexually and asexually.
Step-by-step explanation:
The answer to the question which kingdoms solely rely on asexual reproduction is options C. Eubacteria and Archaebacteria. Both Eubacteria and Archaebacteria are prokaryotic organisms that typically reproduce asexually through binary fission. This method of reproduction involves the division of a single organism into two separate organisms. Other kingdoms, such as Animalia and Plantae, have members that can reproduce sexually as well as asexually.
It is important to understand that prokaryotic cells do not have a nucleus or membrane-bound organelles and all organisms within the domains Bacteria and Archaea are prokaryotes. This means the components of these kingdoms consist of prokaryotic cells.