Science

The eligibility criteria of TGT maths for KVS are given below. Essential qualifications:
1. Bachelors Degree with at least 50% marks in the concerned subject/combination of subject and in aggregate. The elective subjects and languages in the combination of subjects are as under:
Bachelor Degree in Maths with any two of the following subjects: Physics, Chemistry, Electronics, Computer Science, Statistics. The candidate should have studied Maths in all the years of graduation with any two subjects out of Physics, Chemistry, Electronics. Computer Science, Statistics.
2. B.Ed or equivalent degree from a recognised University.
3. Pass in the Central Teacher Eligibility Test CTET Paper-II, conducted by CBSE in accordance with the Guidelines framed by the NCTE for the purpose.
4. Proficiency in teaching in Hindi and English medium. Desirable Qualification: Knowledge of Computer Applications
So from above TGT Math required the Bachelor degree or Hons, in Maths and candidate must have studied the Maths in all three years. Hence B.E Mechanical students are not eligible for TGT Maths.

You have not written about the colleges where you wish to pursue the B.Sc. Aviation course. However, the basic eligibility criteria for B.Sc. Aviation of Pune Institute of Aviation is given below for an idea. Eligibility criteria:
1. 10+2 with PCM or
2. Passed Three Year Diploma Course approved by the DTE, Maharashtra State or Equivalent authority. Diploma (10 + 3) awarded by MSBTE or equivalent by any other Government body in following branches of engineering. I) Mechanical ii) Electronics iii) Electrical iv) Computer v) Information Technology vi) Automobile vii) Industrial Electronics viii) Radio Engineering and Telecommunication.
So from above, technically you are eligible for this course but not included in the eligibility criteria as mentioned above. So, it's better to ask the college directly regarding this.

Hi,
B.Sc. Or B.A. Statistics needs mathematics as a compulsory subject for XIIth. You are eligible for B.Sc. In biotechnology an emerging branch or you can also pursue B.Tech Biotechnology with its need increased value these days due to the condition of the virus. The job careers for you would be:
Biochemist, Bioinformatic, and Biophysicist. Biomedical Engineer. Biotechnology / Pharmaceutical Sales. Biotechnology Laboratory Technician. Biotechnology Research Associate. Clinical Research Associate. Crime Lab Technician. Environmental Engineer. So the field of biotechnology for which you are eligible is a career worth the hard work you would put. Check for an enterprising university you the best academic facilities of good faculty, infrastructure, live projects, seminars, exposure, platform, scholarships, placements etc. LPU is a university which gives good scholarships as well as it has started covid scholarship for the people attached to the families of front-line workers. Besides, it offers good research facilities which would be helpful for your field. You can also check some other good institutions like SNN, SASTRA, etc.