Which of the following statements is true about eukaryotes?

The statement that eukaryotes have membrane-bound organelles is true and reflects one of the defining characteristics of eukaryotic cells. Unlike prokaryotes, which are simpler and do not have membrane-bound organelles, eukaryotes possess a variety of specialized structures, such as the nucleus, mitochondria, endoplasmic reticulum, and Golgi apparatus. These organelles enable eukaryotic cells to carry out complex functions, compartmentalizing various biochemical processes and enhancing cellular efficiency.

In contrast, while other statements may relate to certain aspects of cellular biology, they do not accurately describe eukaryotes as a whole. For example, it's incorrect to say that all eukaryotes lack a true nucleus, as they are characterized by having one. Furthermore, many eukaryotes, such as plants and some protists, are capable of photosynthesis. Additionally, while some eukaryotes reproduce asexually, such as certain fungi and protozoa, many others reproduce sexually, demonstrating that reproduction modes vary among them. Thus, the presence of membrane-bound organelles is a key feature that distinguishes eukaryotes from prokaryotes and highlights their complexity.