IIM

Yes, you can most certainly try again for CAT. There is no limit to number of attempts you can take for CAT. However they keep a count of number of attempts. You have decent academic record and a fair chance of getting into IIMs if you do good in CAT. I would suggest you prepare well and give it your best shot this year.

plz check below link and subheader eligibility for details. Evry stream has its own criteria.
https://www.shiksha.com/mba/course/fellow-programme-management-fpm-indian-institute-management-raipur/173493

IITs serves BTech, and IIM severs MBA. Comparisons cannot be made.

I think to join IIMs u need to score good percentage in CAT exams(above 90 percent) and do well in GD & PI. if u can do well in these 3, I think you will be able to join any good colleges and the graduation marks won't matter tht much

Nah! Not to worry about that. You just need 50% on your degree at last.

Minimum 50% is required in bachelors degree for sitting in CAT. Don't know about admissions.

You must give CAT or GMAT to get into IIM-Trichy.

yes you are . as only iim Indore is the one which conducts Integrated Program in management (IPM) which is after 12th and is of 5 years . you have to give IPMAT test , if you qualify then you will be called for personal interview . then finally the merit list is announced . remember there are only 120 seats for IPM and evey year around 18000-20000 give written exam and around 1200-1300 gets qualified for PI .

MBA is a post graduate course. You first have to complete an Under graduate degree then qualify CAT exam to get into IIMs. Any degree completed with minimum 50% allows you to sit for CAT. If you're so keen on doing MBA from IIM, there is another way. IIM-Indore has started a 5yr integrated programme in management(IPM) that give you 3yrs of BBA and 2yrs of MBA. If you clear IPMAT exam after 12th, you get selected to do IPM. This exam is a shortcut where you skip CAT.