Here's a repost of some examples of these two person sayings/rhymes that I shared in another Mudcat thread:

Subject: RE: I'm Rubber . You're Glue: Children's Rhymes
From: Azizi - PM
Date: 24 May 05 - 09:09 PM

...When I was growing up in New Jersey in the 1950s I remember hearing and saying: "What's your number? Cucumber".

[and]

Where you live?
In a sieve.

-snip-

This pattern of short rhyming sentences is very much a part African American [and others] oral tradition.

Here's some additional examples of jive talk used by children, youth,and adults:

See ya later, alligator.
After while, crocodile?

****

What's the word, mocking bird?
What I said, cabbage head.

****

If I'm lyin I'm flyin.
[and] grits aint groceries
and Mona Lisa is a man.