Indian Institute of Science Bangalore Answered Questions

Hello shivam,
As per your rank, your chances are nil for this: college, however check here to know more:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
For admission in IISC-Bangalore, you need more than 270 marks in JEE Mains.

M.Sc in Mathematics graduates can find lot of opportunities in Research and Development firms, Economic Research firms, Market Research firms and Manufacturing firms. They can look for the job profiles like Quantitative Risk Analyst, Statistician, Treasury Management Specialist and Demographer in these firms. Those who want to work in public sector can find ample opportunities in various government organizations like Defense Research and Development Organization (DRDO) and Indian Space Research Organization (ISRO). Reputed Software companies offer several career opportunities for these graduates in operation research, software design and programming. Banks and Insurance companies also offer lucrative opportunities for the candidates who have completed their postgraduate degree in Mathematics. They can also work in various government colleges after qualifying SET or NET exam.

Hello Suvam,
As far as further studies are concerned, I think you have to appear for GATE or some other exam after B.Sc to get admission in M.Sc. IITs were established to provide finest technical manpower for building the nation. IISc was established by private bodies to conduct core research with a focus on advancing the scientific capabilities of the country.
You see hell lot of IITians in companies running here and there with a shiny life style and if you get a chance to go to IISc you feel the calm and focus without much shiny life style and a commitment to research and scientific advancements.
Hope this helps! All the best!

IISc Bangalore does not offer 4 years B.Tech program. University offers admission to its four-year Bachelor of Science (Research) Programme after 10+2. You may refer to following link for process to seek admission : http://www.iisc.ernet.in/ug/how_to_apply.html

If you refer to the placement statistics of many institutions, you may be able to see that the number of campus placement opportunities and the number of candidates getting placed for M.Tech are comparatively less when compared to B.Tech students. But multinational companies like Texas Instruments, Cypress, National Instruments, etc. ., and some other chip manufacturing companies do recruit M.Tech candidates through campus placements.

Indian Institute of Science, Bangalore offers admission to its four-year Bachelor of Science (Research) Programme in 2017. Students who will appear for the 12th standard board examination (or equivalent) in 2017 and those who have passed this examination in 2016 are eligible to apply for admission to this Programme. Details of eligibility criteria and the selection process are provided at the "How to apply" link above. Online applications will be received at this website via the "Online Application" link during February 1 - April 28, 2017.
For further details visit:
http://www.iisc.ernet.in/ug/