Dear aspirant,

As you have mentioned that you have secured 10k rank in JEE mains and taking into consideration that you have secured 373 rank so let me tell you that you should go for nits because 10k rank is a good rank.

In this rank you would definitely get good nits like Jamshedpur durgapur Silchar allahabad rourkela Calicut and bit mesra too.although various factors are considered while deciding the cut offs like number of candidates appearing in the examination, number of vacant seats in college, previous years cut offs.

For more information you can check out the link given below-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer