The cell types which lack a membrane bound nucleus are found in the

A. eukaryotes.

B. prokaryotes

C. archaea.

D. protista.

E. prokaryotes AND archaea.

The correct answer is B. prokaryotes

Explanation:

Archaea and bacteria are the organisms that come under prokaryotes. In Prokaryotes, pro indicate before and karyote indicate nucleus. So these organisms do not have a true membrane-bound nucleus in which they can store their genetic material.

As archaea and bacteria do not have membrane-bound nucleus their genetic material freely moves inside the cytoplasm in their cell. All the prokaryotes are unicellular organisms.

The organisms that have a well membrane-bound organelle like nucleus are called eukaryotes. The genetic material of these organisms are packed in their nucleus. They can be unicellular or multicellular.

Therefore the correct answer is B. prokaryotes.