Hi

With 77 percentile

• Your rank will be  around 235290 - 264500 as per our rank predictor at

  JEE Main Rank Predictor 2021 - Predict your JEE Main ...

  JEE Main Rank Predictor - Know your expected IIT JEE Main 2021 Rank by ...

Your sc rank will be around 15,000.

With above  rank, you have very low   chances in NITs.

For example,

Your home state is Bihar so you will be eligible for home state quota in NIT Patna but even under state quota your  chances are very low in NIT Patna.

For instance, In 6th round of josaa counselling 2020, the closing rank for SC category in NIT Patna was 7862 sc rank under home state quota  and it was for mechanical engineering.

Under other state also, your chances are very low.

For example, under other state quota closing rank for some of the lower NIT for SC category is provided below as 6th josaa counselling 2020 :-

• NIT Mizoram :- civil engineering :- 8376 sc rank

• Nit Ap, Metallurgical and Materials Engineering :- 8450 sc rank

• National Institute of Technology Agartala    Production Engineering :- 9207 sc rank

Your chances for IIITs are also very low.

For example,

IIIT Una, Himachal Pradesh is one of the lower IIITs and in 6th round of josaa counselling 2020 closing rank for SC category was 9967 sc rank and it was for information technology

You can verify the above at

https://josaa.nic.in/Result/Result/currentorcr.aspx

Above prediction of is on the basis of past year data but  cut off/closing rank for colleges keeps changing every year depending upon many factors like number of students that appeared in the examination, difficulty level of the JEE main question paper for different shifts etc

You can try for Government Engineering College through state counselling.  To have a personalised report on your chances of getting a college you can go through our college predictor, it will give you complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Try to get at least sc rank of around 9000 i. e at least 85 percentile. To improve your score in remaining sessions of JEE main you should focus on your preparation go through previous year question papers ,mock test papers and to help you in your preparation we have jee main knockout out for you, for which  is provided below

https://learn.careers360.com/knockout-jee-main-april/

If you have any other doubt then you can always reach us to clear them :) we are always available to help you out and guide you

Thankyou