Science

Yes, there is a good scope as if you have a knowledge background in economics and statistics do well.
For taking MBA, there is no prerequisite that you should possess a degree that match to the course.

Yes, if you are interested in management field, studying MBA surely benefits you. There are various specialization available for MBA like finance, marketing, HR, etc. You are a graduate in statistics, so finance could probably suits you. Careers in MBA is measured on the basis of your performance, communication skills, etc. Try to select good colleges with good placement records.

You may register with any of the websites to get admission notifications. Many coaching centers also provide this service.
Please check the below mentioned link:
http://entrance-exam.net

Hi,
SAT is not required in the university. You may check here too:
https://www.b-tu.de/en/study/study-programmes/detail/66-environmental-and-resource-management

It is one of the premier educational institutes of Haryana, established in the year of 2001. The institute is affiliated to MD University - Rohtak, Haryana and approved by AICTE and Government of Haryana. So, you can get the admission for B.Tech.