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Hello!!!
With 51k rank in JEE mains, you will get a college under josaa. Moreover under home state quota, you may get a branch of your choice as well. Therefore I think you should go NITs as they are quite reputed in india after IITs. Also they might not give you the best placement and concession like other private colleges are giving but the lifelong certificate you will receive is not lesser than that. Again their fees structure is quite affordable.
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