Rebuild Resource Database

Resolution  1:

Try to detach and attach the DB files from some other SQL Server with same version and patch level.
Bring SQL Server ONline.


Resolution 2:

Rebuild the resource Database

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The following procedure rebuilds the resource system database. When you rebuild the resource database, all service packs and hot fixes are lost, and therefore must be reapplied.

To rebuild the resource system database:

1. Launch the SQL Server 2012 Setup program (setup.exe) from the distribution media.
2. In the left navigation area, click Maintenance, and then click Repair.
3. Setup support rule and file routines run to ensure that your system has prerequisites installed and that the computer passes Setup validation rules. ClickOK or Install to continue.
4. On the Select Instance page, select the instance to repair, and then click Next.
5. The repair rules will run to validate the operation. To continue, click Next.
6. From the Ready to Repair page, click Repair. The Complete page indicates that the operation is finished.
   
   
   
   More on http://msdn.microsoft.com/en-us/library/dd207003.aspx#RebuildProcedure