Aurous Institute of Management (AIM)

Yes, there are many colleges and universities that offer LL.B. Programs abroad. Some of the popular destinations for studying LL.B. Abroad include the United States, the United Kingdom, Canada, Australia, and New Zealand. In the United States, many law schools offer Juris Doctor (JD) degree programs, which are equivalent to LL.B. Programs. Some of the top law schools in the United States include Harvard Law School, Yale Law School, and Stanford Law School. In the United Kingdom, LL.B. Programs are offered by universities such as the University of Cambridge, the University of Oxford, and the University of London. In Canada, LL.B. Programs are offered by universities such as the University of Toronto, McGill University, and the University of British Columbia. In Australia, LL.B. Programs are offered by universities such as the University of Melbourne, the University of Sydney, and Monash University. In New Zealand, LL.B. Programs are offered by universities such as the University of Auckland and the University of Otago. To study LL.B. Abroad, you will need to research the admission requirements and application process for each university and country. It is also important to consider the cost of tuition, living expenses, and visa requirements.

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.