Government & Defence Entrance Exam

NTSE result 2019 stage 1 for some of the states/UTs is out now and for remaining states and union territories, it will be published soon. NTSE stage I exam was conducted in the month of November across all the states/ UTs of the country and now awaiting stage 1 scorecard after which qualified student will sit for the NTSE stage 2 exam.

There are many career options in defense field after graduation in Maths, economics and statistics like
IMA - Indian military academy, Dehradun.
Any graduate candidate can apply for IMA through CDSE (combined defense services examination). UPSC conducts CDSE twice a year. Through CDSE, you get a chance to apply for all 3 forces. In application form, you have to give preference to IMA, INA, IAFA, and OTA. IMA trains only male candidates. For IMA, a candidate should have studied Maths in his graduation.

To know about every detailed information about NDA exam, refer the following link:
https://www.shiksha.com/college/nda-national-defence-academy-Pune-53488

Yes, you are eligible. UPSC eligibility criteria says you need to pass your graduation. That's all.

IITJEE is difficult to clear it. Selection in IIT JEE is based on written exam only while that in NDA is based on written + 6 days SSB Interview + Stringent Medical Test. IIT JEE does not test a candidates leadership skills but NDA does. The no. Of seats in NDA (around 320) is much lower than IIT JEE. Although candidates appearing is also less.

Yes, you can go for IAS if you have bachelor's degree in any stream. After B.A.LLB, you can easily go for it.
All the best