IIIT Eligibility

You have to score more than 170 in JEE to get any of given colleges.

If I talk about NIT, Srinagar the last year cut off in B.Tech CSE for female (OBC-NCL) in home state quota was 24433 and 62646 respectively. On the basis of your JEE Main percentile, your expected rank is falling between 26000-35000 then your chances are very high. Further, you have also a good chance for IIITs but you have to apply for them separately.

The final AIR will be declared after April 2019 considering the best score out of the two JEE Main attempts for all the applicants, hence based on current percentile we cannot predict whether you will qualify for NITs, IIITs or GFTIs. Wait for the final AIR declaration.
Details:
https://www.shiksha.com/b-tech/articles/how-to-calculate-jee-main-rank-from-percentile-blogId-19953

The final AIR will be declared after April 2019 considering the best score out of the two JEE Mains attempts for all the applicants, hence based on current percentile, we cannot predict whether you will qualify or not. Wait for the final AIR declaration.
Details:
https://www.shiksha.com/b-tech/articles/how-to-calculate-jee-main-rank-from-percentile-blogId-19953

If you are in SC/ST category students, then maybe you are able to get IIIT with JEE Mains and Advance score cutoff, otherwise not.

Dear,
To get in an IIIT, you should be a class 12th pass student with PCM stream. For selection process, you have to appear in JEE Mains exam score good. In counseling, you can select IIIT as your preference.

57% is less to be eligible for JEE Mains, for detailed eligibility check out the link below :
https://www.shiksha.com/b-tech/jee-main-exam.

No, you are not eligible for IITs or IIITs, you can only get admission in private colleges if you are a general or OBC category student. You can only give state level exams like UPSEE or WBJEE and many more. If you have any queries please feel free to ask.

Hi Ayush, Please find the link below:
https://www.shiksha.com/university/international-institute-of-information-technology-Bangalore-26396/admission#admission.

This year, there is no such kind of criteria like 75% in order to get admission in IIT but I suggest you to prepare a backup plan in order to take admission in the colleges. Since there is both the chances of applying this criteria in next year or may be not.
Best of luck.