According to me yes you have to fight CAT exam to apply for Jamnalal Bajaj Institute of Management Studies, MMS program and here I will let you know more about the course.

Eligibility
Should Passed with minimum of 50% marks in aggregate* or equivalent CGPA (45% in case of candidates of backward class categories and Persons with Disability belonging Maharashtra State only) in any Bachelor’s degree awarded by any of the universities

Or
Should Appeared for the final year examination of any Bachelor’s degree to be awarded by any of the universities incorporated

Qualifying exam
CAT / MH-CET for Indian applicants.

GMAT for foreign national students, NRIs and PIOs

Application fee
For general category candidates (Outside Maharashtra candidates as well candidates from Maharashtra State), J&K migrant candidates, Foreign nationals and NRI/PIO/ Children of Indian Workers in gulf countries candidates.
Rs. 1200/-

For candidates of backward class categories [SC, ST, VJ/DT-NT(A), NT(B), NT(C), NT(D), OBC, SBC] and persons with disability candidates, belonging to Maharashtra State only
Rs. 950/-

Counselling process
JBIMS will shortlist candidates based on their CAT/MH-CET scores and profile.

These candidates will have to appear for an in-person assessment that may consist of a group activity, personal interview and written ability test to be held at Mumbai.

For foreign nationals, residing outside India, interviews will be conducted over Skype. A candidate will be admitted based on the combined scores of this personal assessment along with their past academic and extra-curricular achievements.

Address:-
Jamnalal Bajaj Institute of Management Studies
164, Backbay Reclamation, H.T. Parekh Marg, DN House, Church Gate, Mumbai, Maharashtra 400020

Phone:-
022 2202 4133