Hi Amit,
The CEM Logs can be found on your BCM/CCtr application server/s.
They are in BCM\Logs\XXX_Core location. If you have multiple app servers you'll need to check which one the Core VU is active on to find the right logs.
Increase the log level to debug and run the test again,
Have you checked the logs and settings on the gateway, it may not be BCM that is dropping the call.
How long is the timeout on the Menu for NoInput? If you reduce that time to a few seconds is the call dropped no matter how long the wait time is?
BR
Karl