Science

You have to choose the following option to see yourself as a scientist
1. B.Sc level Entry exam: If you are a top 5000 or so AIR holder in IIT JEE, or a national level topper in plus 2 exams, you can more or less be sure to get an interview call for UG degree anywhere in India, including IIST, IISc, IISERs etc. IIST has a tie up with ISRO so that their students get jobs in ISRO right after graduation
2. MSc. level entry : JAM for IITs, GATE
3. Ph.D level entry : You can do Ph.D at various places. The details here are about options in India. BARC, IISc, TIFR conduct their own entrance tests (plus interviews). There are also JEST (a common entrance test jointly conducted by 23 research institutes in physics, chemistry and computer science), NET and GATE in different subjects. CSIR labs offer Ph.D options. Check out their website.
Ph.D level exam details here - http://archives.biotecnika.org/content/december-2015/list-national-level-phd-entrances-india-must-list-every-bio-sciences-fresher
CSIR Exam Details : https://www.eduncle.com/csir-net-exam
4. Scientist level entry : There are no exams. One applies against openings and then gives interviews for the job
All the best.

Those who do not appreciate math are those who do not understand what math is all about. That is why the nature of math desperately needs to be explained. Simply put, math is about solving problems.
How can math help me solve problems?
Ever since there were humans in existence, there have been problems to solve. Whether the problems were over basic requirements like sustaining sufficient amounts of food or major accomplishments like constructing multifunctional homes, problems such as these remain with us to this day. The peculiar thing about problems is that they all have similar properties.
What do all problems have in common?
Successful problem solvers are able to understand what is expected of the problems they face. In other words, they know all of the details surrounding the problem at hand, which is the most important step to solving problems. It requires an attention to detail and therefore patience. After examining the details, intelligent choices need to be made as well as the beginning steps of developing a strategy. The plan must be carried out in an order that makes sense. So careful planning, possibly by justifiable experimentation, must take place. Once an actual solution is obtained, it must be tested to determine whether or not it is reasonable.