Hello aspirant,
Yes, it is possible to get admission to a B.Sc. in agriculture without taking the NEET and ICAR exams. Through your State University entrance exam, you can gain admission.
So you can try for state universities. They are also a very decent option for BSC in Agriculture.
For more information please visit the following link
https://www.careers360.com/courses/bsc-in-agriculture
Thank you
Hope this information helps you
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