Hello himanshu You can't appear in cat as cat is for MBA (masters course) and the eligibility for master course is graduate. But yes as you mentioned integrated course bba+MBA yes there's an integrated course in IIM indore (only). They conduct an entrance test called IPMAT which is for an 5year  integrated course BBA +MBA and the eligibility criteria is Candidates belonging to General and NC-OBC Category must have minimum 60 percent marks in X/SSC and XII/HSC or equivalent examinations in order to apply. I hope the above mentioned information help you.
Feel free to comment if you have any doubt
Good luck

Hello Himanshu. The eligibility criteria for applying for CAT, is that, you should have a graduation degree or you should be in the final year of your graduation.

So, after class 12, you are not eligible to appear for Cat. However, for integrated BBA-MBA course, the colleges which offer such courses have their own entrances.

All the best.

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