Hello Sairam,
I have configured a three-router topology with routers connected in line and the one on the left being configured as EIGRP stub. I have made changes to the interfaces on the middle and right router but I can confirm that the left router never received a Query.
Also, please, try to use the command debug eigrp packet query reply update on your EIGRP stub router and attach the debugs here. This should show us more what is going on.
As a rule, if a neighbor of a stub router recognizes that it is a stub router (use the show ip eigrp nei detail on the neighboring routers to check it) it will never send it a Query packet. If it does not recognize it as stub, it will send it a Query but the stub router will immediately reply with an infinite metric.
Originally I requested for a more precise description of your network but I have overlooked that you have actually described it in your original post. Sorry. But I would be interested in seeing that debug output, still :) Thanks!
Best regards,
Peter