Exam

Along with the qualifying exam criteria, you also need to score a minimum of 75% aggregate marks to be eligible to appear in JEE Mains 2025.

You can go through the complete JEE Main 2025 Eligibility Criteria and check if you are eligible to appear for JEE Mains 2025.

• The aspirant should have completed final examination of the 10+2 system, conducted by any recognised central/ state Board, such as CBSE (Central Board of Secondary Education); CISCE (Council for the Indian School Certificate Examinations) etc.
• Intermediate or two-year Pre-University examination conducted by a recognised Board or University.
• Final examination of the two-year course of the Joint Services Wing of the National Defence Academy.
• Senior Secondary School Examination conducted by the National Institute of Open Schooling with a minimum of five subjects.
• Any Public School/ Board/ University examination in India or in any foreign country recognised as equivalent to the 10+2 system by the Association of Indian Universities (AIU).
• H.S.C. vocational examination.
• A Diploma recognised by AICTE or a state board of technical education of at least 3 year duration.
• General Certificate Education  (GCE) examination (London / Cambridge / Sri Lanka) at the Advanced (A) level.
• High School Certificate Examination of the Cambridge University or International Baccalaureate Diploma of the International Baccalaureate Office, Geneva.
• Aspirant should have completed the class 12 or equivalent examination outside India or from a Board not specified above should produce a certificate from the Association of Indian Universities (AIU) to the effect that the examination they have passed is equivalent to the Class 12 exam.
• In case the relevant JEE Main Qualifying Exam is not a public examination, the candidate must have passed at least one public (Board or Pre-University) examination at an earlier level.

The reserved category perks may still allow you to enrol in B.Tech programs in Mumbai if your MAH CET score is 59 and you fall into the NT-B category. The following are a few universities that might accept low MAH CET percentiles

New Panvel's Pillai College of Engineering is well known for its industrial partnerships and respectable placement rates.
Atharva College of Engineering has robust student support system and strong campus facilities.
A reasonably priced choice with helpful instructors is Vidyavardhinis College of Engineering and Technology in Vasai.
Universal College of Engineering is renowned for its reduced cut offs and student-friendly practices.
Shah & Anchor Kutchhi Engineering College offers affordable high quality academic programs.
For fee waivers and the lenient deadlines concentrate on applying through the CAP rounds and make use of the NT-B reserve

Your chances of being admitted to NITs, IIITs, or GFTIs with an 87.20% JEE 67% in your 12th grade exams and 56% in PCM may vary depending on the cutoff and qualifying requirements of the particular institute Your 56% in PCM may raise questions because NITs and IIITs often to require a minimum of 75% in your 12th grade (or the top 20%ile on your board test) for eligibility.Although there is still fierce competition you may have some leeway in the cutoff because you fall under EWS category. Your eligibility will be determined by the particular needs of the institute for the current academic year but you can still apply through the counselling procedure

With an 82 percentile in JEE Mains, direct admission to the B.Tech in Computer Science at Shiv Nadar University (SNU) is unlikely. SNU does not offer direct admissions; candidates must qualify through either JEE Main scores or the Shiv Nadar University Scholastic Aptitude Test (SNUSAT) and Academic Proficiency Test (APT).
In most popular specializations, including Computer Science, the cutoff goes above 90 percentile. Your score would suffice the minimum eligibility criteria, but might not be good enough to get into competitive programs such as Computer Science in SNU. Apply via SNUSAT or improve your chances through strong academic credentials.

It all depends upon which IIM you get shortlisted, but considering your percentile in CAT 2023 that is 70, a very good chance stands by your side if the cutoff will be met by you in terms of that IIM.
For example, IIM Ahmedabad will set the minimum overall cutoff at 60 percentile for ST candidates while others may be different. Normally, top IIMs such as IIM Ahmedabad, Bangalore, and Calcutta are higher with cut-off values generally more than 90 percentile in most of the cases but relax it for the reserved categories.
Although your score may suffice for admission into some IIMs, admission is not guaranteed and will depend on your overall profile, including academic performance and performance in subsequent rounds like interviews.