Hello Sriprakash,
The requirement to use IE11 with WEBGUI is the one from the SAP Product Availability Matrix (PAM), as you already know.
If you are facing an issue in one machine and not in another, then most likely the issue is within the machine, not in the WEBGUI (it wouldn't work in all machines).
It does not matter if you use 32 or 64 bits IE, the version will be the same. For the WEBGUI this is transparent.
You can find the complete web browser support in PAM here (for release 7.40). If you have a different release, then let me know.
Regards,
Cris