Biotechnology

It depends on your interests and career plan. The options after B.Sc in Biotech would be to do your Masters and then do your doctoral studies if you wish to be in the area of Research or a job in academia.
Some options are available for getting a job in the area of Production control or Quality Analyst in organisations such as Biocon, You should be really good with your basics on concepts such as Fermentation technology, Bio-remediation etc.
However, it's worthwhile doing your Masters and your doctoral studies (P.hd) and then trying for a job.
What really matters is your interest and the career plan that you have planned for yourself, whilst understanding your skills and what you are good at.

The scope of Biotechnology for B.Tech students:
Any student who is contemplating on pursuing a career in Biotechnology must be aware that this field is still developing in India. Therefore, the number of job openings and pay packages are both very low when compared with IT and CS fields.
After a B.Tech degree, students can find jobs in pharmaceutical companies, research labs and institutions in India. However, most Indian students tend to go abroad to pursue their Masters or doctorate studies in Biotechnology and allied fields. Some students also shift to MBA and enter the world of business, finance and banking as their engineering background gives them the required quantitative skills to excel in these sectors. Also, many students shift to software through on-campus placements. Talking about on-campus placements, since the number of job openings is very less in Biotechnology, the number of companies coming for placements will be very less. Also, core companies only hire students from universities such as IITs, NITs etc. If your university is not reputed nationally or state wise, chances of any biotech or pharmaceutical company coming for placements sessions will be close to nil.
Since this field is highly research oriented, vast and diverse, it is highly recommended that students pursue their graduate studies in Biotechnology, Biomedical Sciences, Biological Sciences, Bioprocess Engineering etc. For more details on B.Tech course in Biotechnology, please read this article.
The scope of Biotechnology for B.Sc students:
If you are a B.Sc student in biotechnology or any other biological sciences related fields, it is highly recommended that you pursue your M.Sc. The job opportunities for B.Sc graduates in a highly research oriented field as biotechnology is very less and most students tend to pursue their M.Sc in Biotechnology or a specialised discipline of biotechnology. India is home to some excellent M.Sc programs such as JNU, DU, IISc, TIFR, IITs etc. With an M.Sc degree, most students tend to work in research labs and industries as research assistants. The pay package is also quite less for M.Sc graduates. Since India is still developing, it is highly recommended that you do your M.Sc in a reputed institution for good campus placements and job opportunities. If your university is not reputed, chances of any biotech company coming for placements will be zero.

There are very limited types of engineering courses that one can pursue without Mathematics.
Engineering mainly comprises of a branch of mathematics which is necessary to work in any field.
Mathematics opens up various career and educational options. Without mathematics, it is much difficult to find or relate to any engineering subject.
I don't think it would mentally help you as a biology student to take up an engineering kind of thing. You should have thought about it in the very first place.
I would rather advise you to go for NEET and AIIMS as it goes fantastically well with your subjects and stop thinking about engineering.
I hope you understand my point.
All the best.