NIT

NITs are renowned for their engineering programs across various disciplines. The rank of 5800 JEE Mains might get you a seat in some of the top NITs, depending on specific NIT and the branch availability. NIT is a government recognised institute which might help you secure better positions in future. You must consider your choice on the basis of the branch you would persue. On the other hand IIIT Banglore being a private institue may lack in teaching infrastructure in making students industry ready.

Although in IITs, there are 2 seats reserved for defence personnel but for NITs, GFTIs, IIITs there is no quota for CAPF personnel. There are in total 10,006 seats across all IITs and Jee Advanced qualified total number of students were 26,456 amongst which CAPF sets were quite less but yes reserved.

1. NIT Tiruchirapalli
2. NIT Surathkal
3. NIT Warangal
4. NIT Allahabad 
5. NIT Rourkela 
6. NIT Jaipur 
7. NIT Calicut
8. NIT Nagpur
9. NIT Kurukshetra
10. NIT Jaipur

are the top NIT colleges for Electrical Engineering and Electronics and Communication Engineering and for Computer Science Engineering. These colleges are reputed for their infrastructure, experienced faculty members and good placements.

With a SC category rank of 6000, you have a good chance of securing admission to an average NIT for the ECE branch. Typically, with a rank of 6000 in the SC category, you are likely to meet the cutoff requirements for ECE in many NITs. You are advised to visit: JEE Main Rank Predictor 2024: Calculate JEE Rank From Percentile/Score to check for the college in which you are eligible for.

NIT or any other Govt college with certainly 100% certainty in your SC rank of 69841 provides a good chance of getting into these college. 

The NIT JEE cut off inclusing top NITs like NIT Trichy, Surathkal is 900- 60000. This year the cut off is going to get released in June so wait for the rank and compare it with the previous year cut off to get into any good NOT or Govt college.

Unlike NITs and CFTIs, the IIITs accept candidates up to JEE Main rank 54,000 in the open and gender-neutral category. They mostly offer popular courses like Computer Science Engineering, Electronics and Communication Engineering, and Information Technology to the candidates who rank above 25000 in JEE Mains.

Some of NITs and IIITs which offer computer Science engineering are

• IIIT's Like IIIT kota, IIIT Guwahati, IIIT kalyani, IIIT sonepat, IIIT vadodara etc.
• NIT's Like NIT Hamirpur, NIT Meghalaya, NIT puducherry, NIT Sikkim, NIT Uttarkhand etc.

NIT and IITs always has its cutoffs and ranks higher. As you have mentioned your AIR in JEE Mains under OBC quota is 104,000 rank. So with this rank, I am sorry to say that you will not get any NIT.

A rank of 75,000 to 1,00,000 in the JEE Main is equivalent to a percentile of 93, which may not be enough to get into top NITs like NIT Tiruchirappalli or NIT Surathkal. However, some other NITs, such as NIT Calicut or NIT Meghalaya, may accept this rank.

Nevertheless for your own reference you can check the different NITs cutoff through this link:

https://www.shiksha.com/engineering/articles/nit-cutoff-blogId-20217

As there are more NITs cutoffs varies from city to city and also the caste category.
So if you are SC the cutoff will be averagely 2000 to 5000
For home state at open category

• Chemical engineering - 15073 to 20271
• Mechanical Engineering- 3741 to 13216
• EEE - 6980 to 9878

For Other states at open category, 

• Chemical engineering - 3000 to 11137
• Mechanical Engineering- 3357 to 7320
• EEE - 2608 to 4818

So the cutoff will be variying upon your caste type and also the state you are in.

I have been trying hard to get the same question answered for the past one month. 
After a month and about 100 calls they said  "learner is not in top 20 percentile but did not tell the cut off marks. 
I am still trying to get that value because according to statistics until 2019 which NIOS provided to JOSAA 347/500 was the cut off for top 20 percentile. My son has 367 and still they say not in top 20