Question

Nerve cells do not divide as they do not contain centrioles so why does plant cells divides (even they do not contain centrioles)?

Answer 1

Plant cells without centrioles build special vesicles from their Golgi apparatus which are important for cell division.
There are many different ways to make a spindle in plants: "Mitotic spindles may be organized at centriolar centrosomes (only in final divisions of spermatogenesis), polar organizers (POs), plastid MTOCs, or nuclear envelope MTOCs (NE-MTOCs)." Of these, only the latter has been observed in angiosperms (flowering plants).