Whenever any new update (core, themes or plugins) is available, WordPress admin section automatically starts showing its notification. After the release of 3.8 version, some updates are made automatically but if you have disabled automatic updates then it shows the number of available updates available in admin dashboard menus. This tutorial provides you the hack that simply removes these notifications without disturbing the main updates functionality (so that you can update your WordPress installation whenever you like).
So what all you have to do is install and activate the new WordPress plugin called No Update Reminder and that’s all. All update notices automatically goes away as soon you activate the plugin.