CUSAT

No, School of Management Studies, CUSAT accepts either of CAT (IIM)/CMAT/KMAT scores only.

Hi Sooraj, I guess you can go ahead with your CMAT score.

I would say MBA from CUSAT would be of more value even in future, the institute being run by the Government of Kerala. Moreover, CUSAT has been able to secure 100% placement in the recent years and the perception among recruiters is improving every year.

Yes, you can apply for MBA in CUSAT with your KMAT score as well.

Yes, you have to submit both the score cards.

Yes, you can get shortlisted for GD, CUSAT is a scholarship test and you can participate here. The eligibility criteria is 50% aggregate marks in Bachelor degree in any discipline.

http://sms.cusat.ac.in/admission.php
Actually, the cutoff of CUSAT is decided by the individual scores of the candidates. They take all the scores, convert it into a normalised score and then decide the cutoff. So each year it will be different. My suggestion is to apply online and see the results. If they shortlist you make sure that you do well in the GD PI session. You can find the details regarding the admission in the above link.
All the best.

You are eligible. You have to appear for any entrance exam like GATE and can apply in any institute upon your score.