The correct statement regarding the differences between prokaryotic and eukaryotic cells is:
Prokaryotic cells lack a true nucleus and membrane-bound organelles.
To clarify the inaccuracies in the other statements:
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Prokaryotic cells are living and eukaryotic cells are non-living: This is incorrect. Both prokaryotic and eukaryotic cells are living cells.
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Prokaryotic cells require oxygen and eukaryotic cells do not: This is not accurate. While many prokaryotic cells are anaerobic (can live without oxygen), others are aerobic (require oxygen). Similarly, some eukaryotic cells also require oxygen, and some eukaryotic organisms can live in anaerobic conditions.
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Prokaryotic cells are much larger than eukaryotic cells: This is incorrect. Generally, prokaryotic cells are much smaller than eukaryotic cells.
Thus, the main distinction is that prokaryotic cells do not have a true nucleus or membrane-bound organelles, while eukaryotic cells do.