As you are looking for CA Course and want to do MBA from IIM, so it is depends on your qualification.

If you have completed Graduation, so you are eligible for admission.

If you have completed only 10+2 and pursuing Graduation, so you have to wait till complete graduation.

There are total 20 IIMs in India. Here is list:

Indian Institute of Management Calcutta
Indian Institute of Management Ahmedabad
Indian Institute of Management Bangalore
Indian Institute of Management Kozhikode
Indian Institute of Management Indore
Indian Institute of Management Rohtak
Indian Institute of Management Ranchi
Indian Institute of Management Tiruchirappalli
Indian Institute of Management Kashipur
Indian Institute of Management Visakhapatnam
Indian Institute of Management Bodh Gaya
Indian Institute of Management, Sambalpur
Indian Institute of Management, Sirmaur
Indian Institute of Management Raipur
Indian Institute of Management Udaipur
Indian Institute of Management Nagpur
Indian Institute of Management Amritsar
Indian Institute of Management, Jammu
Indian Institute of Management Lucknow
Indian Institute of Management Shillong

IIM offers PG Programs i.e. Post Graduate Program in Management.

These types of Programs are equivalent to MBA.

Admission will be done through CAT Admission Test at all IIMs.

Applicants must have minimum 3 years Bachelor Degree in any discipline from recognized University for admission at IIM.