"Profile-based shortlisting" is what TAPMI does for candidates who have worked for more than 24 months. Profiles that are being considered for shortlisting include

• Valid scores on the CAT, XAT, or GMAT, whichever is higher.
• Academic profile (10th grade, 12th grade, college, backlogs during college, etc.)
• Experience at work (type of company, number of months, etc.)
• Extra-curricular if any
• Statement of Purpose

Each program's shortlisting process is different from the other programs. Not making the shortlist for one program doesn't mean you'll make it for the other.

Rather than JEE Mains percentile, KJ Somaiya takes admission based on JEE Mains rank. For 2021, the required cutoff for KJ Somaiya was as follows.

These were the cutoff for general category students. 

Here is the suggested percentile for the CSE branch of Thapar University 

General Category 

• Being the main branch, the score generally goes to 98.66 for the COSE branch and remains similar in the subsequent rounds. 
• The percentile required for COE and COSE branches is 96.66. 
• The percentile cutoff for COBS is around 97.33.

Cut Off For ST, SC, And PHO (Outside Punjab)

• If you are under the ST category then for the COE branch 72-75 percentile, for the COBS branch 75 to 80 percentile, and for the ENC branch 78 to 79 percentile and 86 PCM percentile for MEE. 
• If you are under the SC category then for the COE branch 82 to 83 PCM percentile, for the COBS branch at least 89 percentile, and for the ENC branch 79 percentile. 70 PCM percentile for MEE. You need to have 70 to 80 percentile in your JEE Mains. 
• If you are under the PHO category then for the COE branch you need to have 77 to 80 percentile, for the COSE branch 78 to 85 percentile, and for the COPC branch 92 to 94 percentile.

Thapar University Cutoff (Punjab Students)

• If you are from Punjab then for COPC you need to have a 96.33 percentile.
• For COSE and COBS, you need to have 95 percentile 
• For the COE branch, you will need the 92 percentile. 

If there is a tie between two students then the seats are allotted on the basis of JEE score.

Your gender and category play a very insignificant role in determining your chances of getting admission. As a girl you will be given 5 marks extra owing to gender diversity. And your Category will require you percentile lesser than the general category. But these factors are not the major parameters for selecting candidates. The major criterias include your past academic records and work experience. The weightages allotted to these components can be checked from the official website.

Considering your profile here is my opinion regarding the percentile required to guarantee your admission.

• 90+ — 100% chances 
• 85–90 - Almost 100% chances 
• 80–85 - May or may not get a call though chances for getting a call are more 
• 70–80 - Chances of getting a call are relatively low 

Please note that this is guaranteed only if you clear category specific cut-offs.

The cut-off marks are generally very high for aeronautical engineering at Madras Institute of Technology. This may vary according to the category you belong to. 

• If you are a general category student then the cut off marks will be 198 or more. 
• It will be 196 for BC, 194 for BCM, 195 for MBC and 190 for SC/ST students. 

The cut off marks are decided based upon the percentage of subjects like Physics, Chemistry and Maths specially. 

Suppose if you are a state board student, then the total marks would be 200. If the marks scored in Physics, Chemistry and Maths are 190,196,195 respectively then the percentage is - 

The cut off marks are very high for aeronautical engineering. You must score very good marks and get higher rankings in order to secure a seat in this branch. The competition is also too high.

IIITM Gwalior cutoff for MBA stays around 45-50 percentile. Here are the cutoffs for 2021.

Naturally the cutoff varies each year depending on various factors.