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Yes you are eligible to give JEE main exam but as if your 12% 71 so you may not able to get admission in colleges like NIT or IIT you get other colleges with your JEE main rank with 71 percentile in your 12th may not get iit or NIT..
All the best!!
As you ask about strategy to get into PSU.. So to get PSU you have to work hard ....
A lot of hard work required to get PSU many PSU.require gate exam ..
So you should also prepare for GATE examination prepared apply for the PSU have mock test and practice a lot..
As you mentioned that you are the BSc maths Honours student and you do not want to do any master degree any other degree
So you can go for the data analyst course.....as you mention that you are good in them maths so so go for data analyst course compute ...
this is the one of the best earning profession nowadays
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