You need to check and see if BIND is running on your machine. Just installing BIND from an RPM doesn't (usually) turn it on or make it run at boot. From the box you installed it on, try the command
dig @10.13.241.20 google.com
That asks for the DNS info about google from your box. The private/public address of the nameserver doesn't matter at all, the only thing that is important is that the DNS box can access the public internet to find addresses for everything it isn't authoritative for.