According to the concept of reincarnation, what would a man hope to return as in the next life?
a cow
a woman
an elephant
a ghost

That would depend on the religion ( reincarnation was not limited to one religion). In Jainism for example one can reincarnate as hell-beings, humans, animals and super-humans, and i assume that from the options above the woman would be best.

On the other hand, reincarnation as a woman (as opposed to man) was seen as a punishment for not being brave enough.