JEE

No, a student who didn't score 75% in the 12th examination can still give the JEE Main exam. The eligibility criteria for appearing in the JEE Main exam are as follows:
For admission to NITs, IIITs, and CFTIs: Candidates must have scored a minimum of 75% aggregate marks (or be in the top 20 percentile) in their 12th class examination or equivalent qualifying examination. This requirement is relaxed for SC/ST candidates, who need a minimum of 65% aggregate marks. For eligibility for JEE Advanced Candidates must be among the top 2,50,000 (including all categories) in the JEE Main exam. The 75% (or top 20 percentile) criteria mentioned above is not mandatory for appearing in the JEE Advanced exam. However, to be eligible for admissions to IITs, the candidate must meet the eligibility criteria specified by each IIT, which may include minimum percentage requirements.

The allocation of government colleges through JEE Main is based on several factors, including the candidate's JEE Main percentile, category, availability of seats, and the cutoff scores for specific colleges and branches in previous years. It is important to note that cutoff scores and ranks can vary each year based on these factors. As of my knowledge cutoff in September 2021, I can provide you with a general idea of the government colleges you might have a chance of getting with a percentile of 91.3636721 in JEE Main. However, please keep in mind that this is a rough estimate, and the actual cutoff scores may differ:
National Institute of Technology (NITs): With your percentile, you may have a chance of getting admission to some of the lower-ranked NITs, such as NIT Agartala, NIT Meghalaya, NIT Manipur, NIT Nagaland, NIT Sikkim, NIT Arunachal Pradesh, etc. Government-Funded Technical Institutes (GFTIs): GFTIs are autonomous engineering institutions funded by the government of India. Some GFTIs where you may have a chance of admission include IIITs like IIITDM Jabalpur, IIITDM Kancheepuram, IIIT Kotak, etc. , and other institutes like BIT Mesra, Assam University, Sant Longowal Institute of Engineering and Technology (SLIET), etc. State Government Engineering Colleges: Depending on the state you belong to, there may be state government engineering colleges where you have a chance of admission with your JEE Main percentile. These colleges vary from state to state, so it would be helpful to check the cutoff scores of previous years for state government colleges in your desired state. Please note that the availability of seats and cutoff scores can change each year, and it is essential to check the official websites of the respective colleges and keep yourself updated with the latest information and cutoffs during the admission process. It is recommended to participate in counseling sessions, such as JoSAA (Joint Seat Allocation Authority) or state counseling processes, to have a better understanding of the available options and to make informed decisions based on your preferences and eligibility.

I'm sorry to hear that you didn't qualify in TS EAMCET. If you didn't meet the required cutoff marks or rank to qualify for the exam, it means you may not be eligible for admission to undergraduate engineering and medical courses in the participating colleges. However, not qualifying in TS EAMCET doesn't mean that all doors are closed. Here are a few options you can consider:
1. Explore Other Entrance Exams: Look for other engineering or medical entrance exams at the national or state level that you may be eligible for. Prepare and appear for those exams to increase your chances of admission.
2. Consider Private Colleges: There are several private colleges and universities that conduct their own entrance exams or have different admission criteria. Research and explore the options available in your desired field of study and consider applying to private institutions.
3. Diploma Courses: If you are interested in the engineering field, you can consider pursuing a Diploma course in engineering. After completing the Diploma, you may be eligible for lateral entry admissions into the second year of engineering programs.
4. Explore Alternative Courses: If you are open to exploring other career paths, consider alternative courses or fields of study that align with your interests and aptitude. There are numerous options available in arts, commerce, Science, management, design, and other fields.
5. Take a Gap Year: If None of the above options are suitable for you, you can consider taking a gap year to improve your preparation, gain work experience, or explore other opportunities. Use this time to reevaluate your goals and plan your next steps. It's essential to stay positive and not get disheartened by one setback. Assess your interests, strengths, and available options, and make an informed decision that aligns with your long-term career goals. Seek guidance from career counselors or mentors who can provide personalized advice based on your specific circumstances.

Congratulations on your JEE Mains percentile! While I can provide general information about the top engineering colleges in India, please keep in mind that admission criteria and cutoffs can vary each year, and it's always recommended to refer to official sources and counseling authorities for the most accurate and up-to-date information. Here are some top engineering colleges you can consider based on previous years' cutoffs:
Indian Institute of Technology (IIT): With your percentile, you have a chance of getting into some of the lower-ranked IITs. However, admission to IITs also depends on the category you belong to, as each category has separate cutoffs. Check the official JEE Mains and JEE Advanced websites for category-specific cutoffs. National Institute of Technology (NIT): You have a good chance of securing admission in several NITs across the country. NITs are renowned engineering institutes and offer excellent academic programs and placement opportunities. BITS Pilani: Birla Institute of Technology and Science (BITS) is a prestigious private engineering institution in India. With your percentile, you might have a chance to get admission to BITS Pilani or its other campuses like BITS Goa and BITS Hyderabad. Delhi Technological University (DTU): DTU is a highly regarded engineering college located in Delhi. You have a decent chance of securing admission in DTU with your percentile. Vellore Institute of Technology (VIT): VIT is a private university in Tamil Nadu that offers quality engineering programs. Your percentile should make you eligible for admission to VIT. Manipal Institute of Technology (MIT): Located in Karnataka, MIT is a well-known private engineering college. You have a good chance of getting admission to MIT with your percentile.

The eligibility criteria for the Joint Entrance Examination (JEE) for admission to engineering colleges in India is based on a candidate's performance in the 10+2 or equivalent examination. The specific eligibility requirements may vary slightly from year to year, so it is always advisable to refer to the official notification or website for the most accurate and up-to-date information. Typically, to be eligible for JEE, candidates should have studied Physics Chemistry and Mathematics as core subjects in their 10+2 or equivalent examination. The eligibility criteria are generally defined by the conducting body of the JEE, which is the National Testing Agency NTA as of my knowledge cutoff. Regarding the additional subject of Mathematics, it's important to note that the JEE eligibility is primarily based on the subjects that you have studied as part of your 10+2 or equivalent curriculum. If you have studied Mathematics as an additional subject alongside Physics Chemistry and Biology (PCB) in your Bihar Board curriculum, it may not fulfill the eligibility criteria for JEE, as the usual requirement is Physics Chemistry and Mathematics (PCM) as core subjects.