Answer: D. The nucleolus appears distinct due to its high density of rRNA and proteins, not because of a bounding membrane. Visibility under microscopy does not imply membrane enclosure. It is a functional sub-region, not a separate organelle (relates to common mistake: treating nucleolus as separate from the nucleus).
Why A is wrong: A is wrong because no membrane — thin or otherwise — surrounds the nucleolus. This is well-established by electron microscopy. (trap: rationalising the student's error rather than correcting it)
Why B is wrong: B is wrong because the nucleolus is a real, functional structure (rRNA synthesis site), not a staining artifact. It is consistently observed in living and fixed cells. (trap: over-correcting into denial of its existence)
Why C is wrong: C is wrong because the nucleolus has NO membrane — neither single nor double. Only the nucleus itself has a double membrane (nuclear envelope). (trap: inventing a compromise answer that sounds plausible)