You should choose IIM Bodhgaya between these two. Since IIM Calcutta is the mentor institute, you will be taught by the faculties of IIM C. The placements of IIM Bodhgaya are also managed by IIM Calcutta, so you can expect good placement offers. The batch of 2022 students received an average CTC of INR 12.36 LPA. 

According to the reviews online, both are new IIMs so there is not much difference between them. Choosing the one to study completely depends on you. As one of my friends is studying at IIM Jammu, let me share some facts about it.

• IIM Jammu has been under the mentorship of IIM Lucknow. 
• An advantage IIM Jammu has over other new IIMs is the connectivity. It is located in the heart of Jammu city. 
• The airport, the railway station, and the bus stand are located close to the campus.
• Your life at IIM Jammu will be filled with fun as well as challenges. 
• The hectic schedule combined with the restricted time frame gives you an idea about the work culture of corporate life. 
• The Annual Fest of IIM Jammu “Empyrean” is a platform for cultural and management games. 
• The Annual Sports Event “Funathon” is conducted to showcase the talents of students in sports.
• Students also attend events like the HR Conclave and Leadership Summit. 
• Students indulge themselves in various clubs and committees throughout the year.

IIM Jammu focuses not only on academic development but also holistic development of students as well. The students show active participation in sports and other extracurricular activities. Cultural events and Regional Festivals are celebrated by the students and faculty members. Therefore, IIM Jammu will provide an exciting campus experience.