B.Sc

Hello Sarvanjeet,
Yes, there are plenty of Diploma courses once you complete your graduation, be it arts commerce or Science. Different Diploma courses are available for the asking. The numbers is so huge that it is almost impossible to list them in this answer. However I will show you the path that

Hi Saumya,
Yes, in India many universities conduct their own entrance exam for admission for M.Sc course such as Delhi University, Panjab University, JNU and many others.
Good luck.

You need to have scored a minimum of 60% in your class 12th with mandatory subjects like English, Geography.
Candidate must have secure 60% marks in the subject as well. No candidate shall be allowed for admission after a lapse of more than 5 years from the year of passing the previous qualifying exa

You can certainly take up the UPSC preparation course along with your degree studies which is called a foundation course. You will encounter a challenge to maintain the time accordingly but for a suggestion (like most of the students are doing that I am in connection with), you may go for coaching a

For specific information, please contact the college officials.
For more information, click below:
http://www.bujhansi.ac.in

Please contact the college officials to know about the fees. Link for contact details: http://ssc.edu.in/contact.php

Students having B.Sc (Research)/BS or Bachelor's degree in Science (Post-Diploma/4 years after 10+2) can also apply for the GATE exam. For detailed information please read about the GATE exam by clicking on the link below:
https://www.shiksha.com/engineering/gate-exam

You are eligible for BA as well as B.Sc. So, it depends on what you want to do, but if you want to utilize your mathematical skills at the fullest then you must go for B.Sc.