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SAT scores are indeed accepted for undergraduate BE/B.Tech admission under the DASA scheme in NITs. Under the DASA scheme, a certain percentage of seats are reserved for NRI/PIO/OCI students in NITs. The reservation criteria are as follows:
15% seats are reserved for applicants from the Non-SAARC countries.
2.5% seats are reserved for applicants from the SAARC countries.
27% seats are reserved for applicants from the PIO/OCI category. To be eligible for admission under the DASA scheme, the candidate must have passed the qualifying examination (12th grade or equivalent) with a minimum of 60% marks in aggregate or 6.50 CGPA on a 10-point scale or equivalent grade in the qualifying examination. For the admission process, DASA uses SAT scores (Scholastic Assessment Test) for shortlisting candidates. The candidates need to score a minimum of 1440 out of 1600 in the SAT Maths and Reading & Writing) and a minimum of 800 out of 800 in Maths in SAT Subject Test. The final selection is based on the SAT score, choice of the programme and availability of seats.

It may be possible for you to continue your studies in Mechanical Engineering, but it will depend on the specific requirements of the institution where you plan to study. In general, many universities will consider your previous academic record, including your performance in relevant courses such as mathematics, Physics and engineering mechanics. However, it is important to note that there may be some significant differences between the curriculum of Civil Engineering and Mechanical Engineering. As such, you may need to take additional courses or complete additional years of study to meet the requirements of the Mechanical Engineering programme. You should also consider the possibility of having to repeat some courses that you have already taken in your Civil Engineering programme. In any case, it is recommended that you research the specific requirements of the Mechanical Engineering programme you are interested in and speak to an academic advisory at the institution where you plan to study to get a clearer understanding of what would be required for you to pursue this option.