Poll Listing, Where admin can rate and user and rate a poll? I need to develop a page, where we need to display a list of polls which are published.

and 

Need to create a content by admin where user and admin, both can rate it.

Does anybody suggest a contributed module or Do i need create custom Module for it?
You could use the Advanced Poll Module.


Advanced Poll is a replacement to Drupal's poll module and provides multiple voting systems, decision-making tools, and management options.


For more details you could go through the README.txt of this module.