AIM - Army Institute of Management

With 27 percentile in CAT, your chances of getting admission to the Army Institute of Management (AIM K) are quite low as the institute has a higher cutoff. AIM K generally requires a minimum percentile of 70 or higher in CAT for admission to its MBA program.
However, you may still be eligible to apply for admission to other MBA programs in various other colleges that accept CAT scores. Many B-Schools have their own eligibility criteria and weightage for the CAT score and other selection rounds. So, you may still have a chance to get admission to an MBA program with your CAT percentile.
It is recommended that you research and apply to other MBA colleges that accept CAT scores and have a lower cutoff percentile. Some of the options you can consider are:
National Institute of Technology (NIT) MBA programs
MBA programs offered by state universities and colleges
Private B-Schools offering MBA programs.
However, it is important to note that the admission process for each college may vary, and you should thoroughly research their eligibility criteria and selection process before applying. You can also consider taking other MBA entrance exams like MAT, CMAT, XAT, etc., which can expand your options for admission to MBA programs.