Yes, you are likely to receive a call from most IIMs with a percentile as high as 99.9. In fact, scoring 99 percentile in CAT is the only way you can guarantee admission to a certain extent into an IIM.

As far as the top IIMs like IIM Ahmedabad, IIM Bangalore, IIM Calcutta, IIM Lucknow, and IIM Kozhikode are considered, the CAT cut-off is often more than 99 percentile ( General category).

To be able to score 99+ percentile it’s very important to know the right way to answer the questions. Firstly, you will have to ensure zero-error performance by choosing the questions wisely. Your target CAT score should be 10 in order to enter the 99 percentile bracket.

Tabulated below are the JEE Advanced Cutoff 2023 for IIT Kharagpur:

From the above table we can infer that with a Rank of 6048 one can get the following branches 

• Civil Engineering
• Metallurgical and Materials Engineering
• Mining Engineering 
• Ocean Engineering and Naval Architecture 
• Biotechnology and Biochemical Engineering 

There is no such specific GATE score. The required score varies every year, depending on the branch, category of students, number of vacancies for that year. For General category students, a rank under 100 should get you an interview call. You may get a call up to 300 from some PSUs like IOCL that recruit in large numbers. Below is the GATE cutoff for a few top PSUs like NTPC, IOCL.

You can check the details regarding cutoff here - GATE PSU. 

I suggest you not to score below 6.5 as CGPA 7 is a must to get admission in a good foreign university. However with a CGPA of 6.5 you can go for Government jobs. I know a friend who did not focus on CGPA and played football and today is struggling to get a good job.

It is all the more difficult to get a good CGPA after low marks in the first semester because the professors evaluate you on the basis of previous grades sometimes. However, you will get placement into a decent private company so you don’t have to worry much.

Basically, even after getting admission at a good institute like IIT KGP, you have to keep struggling to score high marks.

NIT Trichy JEE Main cutoff percentile 2023 for General, EWS, SC, ST, and OBC, has been released so that candidates can be aware of the minimum marks required to get admission. This cutoff is released in the form of opening and closing ranks. You need to rank higher than the closing ranks to grab a seat.  

NIT Trichy JEE-Main Cutoff 2023 for various categories has been tabulated below The overall cutoff for JEE-Main is 358 - 14406 rank.

Based on experts' analysis the minimum marks required to make it into NIT Trichy should be between 121 – 140.

I suggest you look for another college if you aren’t a Christian because it’s very tough for a Hindu to get admission at CMC Vellore. Here is the cutoff and the step-by-step admission 

• To get admission to CMC Vellore, you need to score 50 percentile in NEET. 
• Candidates willing to get admission into UG courses at CMC Vellore must appear in a Computer Based Test (CBT) followed by special assessments and interviews
• The final selection will be done on the basis of the candidate's performance in this test.
• CMC Vellore's total intake is 100 and the seat breakdown is as follows 

Overall, NEET is not the only necessary factor that is considered while selecting students for CMC Vellore. You should ace their exams and perform well in the interviews to increase your chances of admission.

You will not find an answer to this particular query anywhere. This is because IISc Bangalore and all the IITs release score-based GATE cutoffs for admissions into the M.Tech program. These cut-offs are not rank-based.

However, the most favorable chances for you are if your All India GATE rank is above AIR 50. This is not the case for all M.Tech branches at IISc Bangalore but for most of them.

Here is the branch-wise GATE cutoff for admissions into the M.Tech program at IISc Bangalore (General Category)-

These are the IISc Bangalore score-wise GATE cutoffs for the most sought-after streams in M.Tech.