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None of the NITs provide B.Tech in Aerospace so you will have to clear Jee advance and only 4 IITs and IIEST Shibpur provides this course, cut off is given below -
According to above given previous year closing ranks you will have to get 200+ as this would be safest score to get seat there in IITs
IIEST Shibpur - Closing rank for non domicile candidates was 16087 and for domiciled students it was 28000 in previous year.
Note - As there is nothing out for 2018 cut off so the above information is provided as per previous year. Also in coming years, the changes in cut off may/may not be there.
B.Tech/B.Arch Admissions OPEN
Hope this helps!!!
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