Question

categorise the cell organelle on the basis of presence or absence of nuclear membrane

Answer 1

Absence of nuclear membrane :- Eukaryotic Cell
Presence of nuclear membrane :- Prokaryotic Cell

Answer 2

Without Membrane

1-Ribosomes-Protein synthesis
2-Microtubules-Form cytoskeleton
3-Microfilaments-Form cytoskeleton, help in contraction and cleavage 
4-Intermediate fibres-Form cytoskeleton
5-Centrioles-Help organize mitotic spindle asters, provide basal bodies.
6-Basal bodies- Give rise to cilia and flagella, change into centrioles.

With Membrane

1-Cytoplasm-Plasma membrane-seat of metabolism
2-Nucleus-Nuclear envelope-Storage and transfer of genetic information.
3-Mitochondria-Mitochondrial envelope-Energy production.
4-Chloroplasts-Chloroplasts  envelope-Photosynthesis 
5-Endoplasmic reticulum-Folded membrane-Protein and lipid synthesis 
6-Golgi apparatus-Membrane stacks-Protein and lipid packaging
7-Lysosomes-unit membrane-molecular degradation