Why is a cross old bachelor like the preceding conundrum? Because he's averse to matrimony.

By equal division, I know I am right;
The half of thirteen you'll find to be eight.

VIII
XIII, ΛIII, VIII

I came to a field and couldn't get through it;
So I went to school and learned how to do it.

Fence.

Legs have I got, but seldom walk,
I backbite all, yet never talk.

A flea.

I am a good state, there can be no doubt of it;
But those who are in, entirely are out of it.

Sane; insane.

Formed long ago, yet made to-day,
I'm most employed while others sleep;
What none would like to give away,
Yet no one likes to keep.