in what types of cells(prokaryotes or eukaryotes) is cytoplasm and cytoskeleton

Your antiquated instructor probably wants cytoskeleton for an answer because until recently it was assumed prokaryotes had no cytoskeleton. That is not likey the case. please read:

The presence of cytoplasm and cytoskeleton varies between prokaryotic and eukaryotic cells.

Cytoplasm is found in both prokaryotic and eukaryotic cells. It is a gel-like substance that fills the cell and surrounds the organelles. In prokaryotes, such as bacteria, the cytoplasm lacks membrane-bound organelles, so it is less compartmentalized compared to eukaryotic cells.

On the other hand, the presence of a cytoskeleton is more commonly associated with eukaryotic cells. The cytoskeleton is a network of protein filaments that provides structural support to the cell and helps maintain its shape. It is involved in various cellular processes, such as cell division, movement, and intracellular transport.

However, it is important to note that recent research suggests that some prokaryotes might also have a cytoskeleton-like structure. This challenge the traditional notion that only eukaryotes possess a cytoskeleton. Therefore, it is an ongoing topic of study in the field of cell biology. For more detailed information, you can refer to the Wikipedia article on the cytoskeleton provided in the link you shared.