NITIE CAT cutoff for 2021 was 97 for PGDIM and 86 for PGDSM. Here are the cutoff details. 

MDI Gurgaon CAT cutoff stays around 94 percentile for general category students. As per the trends of last few years, MDI CAT cutoff in 2022 is expected to be around 94.93 percentile. 

Admission to Thapar University depends not only on your JEE Main score but also on your board percentage. On average, you should score at least 60% Aggregate of Physics, Chemistry, and Mathematics in the 12th class for General Candidates. There is a relaxation of 5% for students belonging to reserved categories like SC or ST. As far as the JEE Marks are considered, 

• Students belonging to the general category should score marks above 72 - 75 marks in JEE Mains.
• Students belonging to the SC or ST categories should score above 48 - 50 in JEE Mains
• Rank-wise,  the general category JEE Main cutoff is 1528 - 125422 rank.

Students can get admission into Thapar University if they satisfy the above criteria. 

FMS Delhi gives 50% weightage to the CAT score, which maximum weightage is given to the verbal section of the CAT. Class 10th and 12th are given 10% weightage each. If your 10th and 12th score is 60-75%, then you will receive a 5% score, and if it is more than 75%, then you will receive a 10% score. 

Your 10th and 12th score is low, but you can still make up things in the CAT exam, especially in the verbal section and your interview and SOP discussion, interviews at FMS has been given a weightage of 15%. Your graduation percentage is just above the cut-off of 50%, which might create problems for you in admissions, but yes, miracles do happen. 

If you score well in your CAT and interviews, there are chances. For other IIMs, the criteria remain somehow similar. All of them gives priority to CAT score and interviews.

By safe score, I assume you are enquiring about the IIM Ahmedabad minimum cutoff. 

Admission to the top MBA colleges in India including IIMs requires a minimum CAT cutoff of 90 percentile. Tier-1 IIMs such as IIM Ahmedabad, IIM Bangalore, IIM Calcutta, IIM Lucknow, and IIM Kozhikode have a high cutoff around 99+ whereas Tier 2 IIMs requires CAT cut off around 70-80 percentile. 

CAT cut-off 2022 for admission to the IIMs is in the range between 95-100 percentile for all categories. For General category students, the CAT 2022 cut-off percentile for top IIMs is around 98-100 percentile and the cutoff is lower in the case of Reserved Category and baby IIMs. 

Specifically speaking of IIM Ahmedabad, the overall qualifying CAT cut-off is

• General Category: 80 percentile 
• NC-ONC and Transgender Categories: 75 percentile 
• SC and PwD: 70 percentile
• ST: 60 percentile 

The IM Ahmedabad shortlisting process has begun and the institute has notified the eligible candidates. 

Usually, students ranking in the top 300, get CSE, or IT at MPSTME, NMIMS. But this is just a tentative score. There is no such specific cutoff system. NMIMS Cutoff varies each year depending on the availability of seats. 

So, try to score a good rank, to be safe. Since most students choose CSE or IT, the required cutoff remains high.

According to the eligibility criteria, you must have completed a Bachelor's Degree with at least 50% marks at the graduation level (SC/ST: Passing marks; OBC/PWD/CW: 45% weightage as per university rules) or equivalent CGPA.

It doesn’t mention anything about the 10th and 12th marks for being eligible for admission, but there is a weightage of 

• Marks obtained in Class X - 10% weightage (60% and above but less than 75%: 5%, 75% and above: 10%)
• Marks obtained in Class XII - 10% (60% and above but less than 75%: 5%, 75% and above 10%)

So, you will need to perform really well in the SOP, Extempore, and PI along with the CAT exam to stand a chance for admission.