Google Contacts Sync has stopped working - Nexus 5

[Nikhil4usinha]

I received an android update in nexus 5, for the march 2016 patches.
But, it errored out after the reboot due to the power off, after which a lot of system applications have stopped working.
Below are the list of applications that have stopped working:
1. Google Contacts Sync
2. Documents
3. Bluetooth Share

Please help me with installing the update and the applications.