I have a drop down list which linking to many pages of my site and Google understand that as duplicate content, because i basically have 2 links:

/page
/page/?quick=‎

Can i put nofollow tag in drop down, or you have any another suggestion?

You can not add nofollow to drop down item(<select>).
you can use a <div> with links has nofollow tag to replace the <select> tag.The <div> show when click a tag and hide when mouseout it.
Or youcan use robots.txt to tell the rebot not to follow links.
file content:
User-agent: Googlebot
Disallow:/page/
put this file in your root directory.
More infomation,try google "robots.txt"

umm, no follow tags wont stop spiders from finding and crawling these pages.

Nofollow tags ONLY prevent rankings from being passed for the love of christ please understand that.

and it is NOT a "TAG"!!!!!

but apart from that search engines don't submit forms.