Hello Aspirant. You mentioned your CRL AIR, Category Rank and Home State in the question. It seems you are referring to JEE Main 2021 and you have an interest in pursuing Computer Science and Engineering from government colleges.

Well, based on your ranks, you have good chance in few of the Public/Government colleges such as:

1. Ujjain Engineering College,Ujjain (Last Year's Cutoff: 77872)
2. GGU - Guru Ghasidas Vishwavidyalaya, Bilaspur (Last Year's Cutoff: 79757)
3. Assam University, Silchar (Last Year's Cutoff: 79995)
4. IIIT Delhi - Indraprastha Institute of Information Technology (Last Year's Cutoff: 81183)
5. GKV - Gurukula Kangri Vishwavidyalaya (Last Year's Cutoff: 82786)
6. Hemvati Nandan Bahuguna Garhwal University, Uttarakhand (Last Year's Cutoff: 91128)
7. Netaji Subhas University of Technology (East Campus) (Last Year's Cutoff: 109448)

and more...

However, keep in mind that these assumptions are based on previous years' data and every year cutoff rank varies greatly.

I have also listed the JEE-Main 2021 cutoffs required to be marked as qualified for JEE-Advance 2021 below :

• Common Rank List (CRL) - 87.8992241-100.0000000 Percentile
• GEN-EWS - 66.2214845-87.8950071 Percentile
• Other Backward Classes (OBC-NCL) - 68.0234447-87.8950071 Percentile
• Scheduled Caste (SC) - 46.8825338-87.8950071 Percentile
• Scheduled Tribe (ST) - 34.6728999 87.8474721 Percentile
• PwD - 0.0096375-87.8273359 Percentile

You can also check out more details about JEE Main 2021 cutoffs from the link of the article given below:

https://engineering.careers360.com/articles/jee-main-cutoff

To get a detailed personalized report on your eligibility in various colleges based on your performance in JEE Main, I encourage you to use JEE Main 2021 College Predictor:

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

I hope you find this information helpful. I wish you all the best for your future and career.

Thank you.