Indian Institute of Technology, IIT Bombay

IDC IIT Mumbai is offering B. Des. Courses in the following specializations.
1. Industrial Design
2. Visual Communication
3. Animation Design
4. Interaction Design
5. Mobility and Vehicle Design
So from above IIT Mumbai does not offers B. Des. Course in Interior Design.

The closing cutoff ranks of IIT Mumbai for year 2020 are given below in asked category for an idea.
1. Aerospace Engineering: 591
2. Mechanical : 386.

Academic performance is an important component for Iims and contributed about 25% in selection. While CAT score, What, PI and work experience are the other important components. Leading Iims like IIM-A, B and C required the CAT percentile above 99. while IIM Lucknow, Indore and Kozhikode needs CAT percentile between 97-98. The CAT percentile between 94-95 can be safe for Iims like Trichi, Raipur, Ranchi and Kashipur. So keeping your CAT and Academic performance in consideration, your chances for Iims Trichi, Raipur, Ranchi and Kashipur are high.

You have to simply qualify the JEE Main exam in order to become eligible for JEE Advanced. As per the last year of trends, the closing ranks in asked courses are given below for general category Male candidates.
1. Mechanical : 999
2. Civil: 3005
So from above ranks below 1000 and 2500 in JEE Advanced are good enough for Mechanical and Civil respectively.