By default Drupal will show and even search each and every content type you enable in Drupal for eg. if you have enabled some of the core modules like Forums, Blog, Help, Poll etc. So, if you open the search page you will see checkboxes for all the nodes that are considered as searchable and interpreted by Drupal as content.
I've gone thru every setting of Drupal but I dont see anything that will disable searching and even displaying those nodes in search page. I've used a couple of community modules like for eg. the Quotes module, all I need this module is for displaying random quotes on the site but not for searching and it should not be displayed on the search page.
Im confused how to achieve this? If Drupal had a something like checkbox (Searchable / not Searchable) while creating a node just like some of the options that you see in the Publishing options then it would have been great.