Login menu which I added in main menu still displaying even after logged-in I have used login (user/login) as menu item in the main menu. While I am logged out, it displays login menu link properly. 

When I am logged in, still displays me login as a menu item. But I dont want to be displayed or instead  'logout' over their. 

I tried adding logout(user/logout) as seperate menu, but still no luck it shows as a separate menu item. Any suggestions?

Thanks in advance.
You need two have two menu items, login and logout.

For the login link the path is: user/login
and for logout the path is: user/logout

Make sure you don't enter a absolute URL to the links, just user/login and user/logout.

I have just tested this by adding two menu items to the primary menu.