Degree

Yes, don't worry and take admission in best college. Mathematics is not required in MBA.

Hi Pusa,
Admission is through web-based counselling based on the rank obtained in Osmania University Common Entrance Test(OUCET)
Please find the link below for detailed information:
https://www.shiksha.com/accounting-commerce/taxation/course/post-graduate-diploma-in-taxation-university-college-of-commerce-and-business-management-osmania-university-tarnaka-hyderabad-288716

The eligibility is Mandatory Courses: B.A., B.Sc.
50% seats will be filled through B.A./B.Sc. course with psychology as one of the paper or specialization and remaining 50% seats to any other degree recognized by Andhra University.

No, you can not pursue from Andhra University.
Details below:
Mandatory Courses : B.A., B.Sc.
50% seats will be filled through B.A./B.Sc. course with psychology as one of
the paper or specialization and remaining 50%seats to any other degree
recognized by Andhra University.
For more details check the link below :
https://www.shiksha.com/humanities-social-sciences/psychology/course/m-a-in-psychology-andhra-university-visakhapatnam-269572

If you want to do B.Tech then there are many exams like lateral entry exam after Diploma.

Long distance B.Tech courses don't turn out to be very well because you are deprived of the hands-off practical experience that regular fill time engineering courses offer. However, if you are determined to pursue this, there a plethora of colleges and universities you can opt for. Choose a course that interests you and not just on the basis of usefulness and scope of the course.
All the best!

Hi Atul,
Yes, you can get admission by lateral entry. For this you need to clear the entrance exam and get a good rank and then you can easily get the admission.