No, only male candidates can apply for NDA entrance examination and hence if 'female' is selected in 'sex' option, your application will be rejected. However there are opportunities in the armed forces for female candidates through other entries.
Prejudices advantages are few, but if you are right, you'll know what kind of person you're dealing with. However, if you're wrong pre-judging can be hurtful and deny you the opportunity to meet some cool people.
You have to have atleast a GED or high school diploma to join the military. But the Army National Guard has a program called 'Patriot Acedemy' where you can go and get your GED to join. In the National Guard, you can either work part-time, like most of the National Guard soldiers, or you can apply to work full time with the Guard. It would be just like being an active duty soldier except they cant move you to different bases. Check out the National Guard at www.nationalguard.com. Then search for 'patriot acedemy'
I hope you get to join. The service needs a few good (wo)men
Mathematics and physics is compulsory to enter NDA. Girls are also eligible.
Start with a Google search of their name. This will often get you an address and phone number and sometimes their approximate age. If you want personal information like credit reports, criminal history, etc., the search engine will probably link you to several websites that will research these things for a fee.