JEE

Hello Phalguni Badduri, let me first say that rank of 38K is quite good. But on the other hand, total seats in all NIT's put together is just about 25K and with reservation under different categories, seats available for general or open categories is just about 10K. Hence, you can fancy your chances against these many seats with your rank of 38K. However, past experience shows that many students going for deemed to be universities, state government colleges, private colleges etc. And as a result, students with up to 50K ranking do get seats in one of the NIT. To help you I am attaching a link that will predict college based on your ranking. https://www.shiksha.com/engineering/jee-main-college-predictor

In West Bengal, many engineering institutes accept Joint Entrance Exam Main. They provide Bachelor of Technology and Bachelor of Engineering degrees in a variety of fields. West Bengal is home to some of the country's best engineering schools. Although West Bengal has its entrance exam for engineering college admissions called West Bengal Joint Entrance Examination, most colleges in the state accept Joint Entrance Exam Main. Candidates can use this information to plan their studies and applications for various entrance tests. For more information, you may use the Shiksha West Bengal Joint Entrance Examination exam page. (https://www.shiksha.com/engineering/wbjee-exam). I hope this will help you.

According to the eligibility criteria at LNMIIT Jaipur, you are not eligible for admission to this college. You have only 52% in your 12th grade, where, as per eligibility criteria, you need to have an aggregate of 60% in your 12th grade. This requirement is mandatory, irrespective of your JEE Mains percentile. Your JEE Mains percentile is very good and will get you into some good colleges that only require 50% or less in the 12th grade. For LNMIIT Jaipur, the only option is to apply for the 12th grade through NIOS to get the desired percentile and then appear for JEE again with that score. Therefore, you can apply to some other engineering colleges by taking the help of this tool: https://www.shiksha.com/engineering/colleges/b-tech-colleges-india
Here you can check the admission requirements of other colleges to apply for the B.Tech course.