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Hello,
As you mentioned that you have secured 158 marks in jee mains and looking at your vit rank i would prefer you to join any good nits rather than going to a private college which will cost you around 20L and can be even more than that.
If your rank was under 10k then you would have thought of taking cse branch but your rank is high so i would recommend you to join nits like Jamshedpur, durgapur, Silchar, allahabad, rourkela, Calicut,patna,Surat ,Bhopal.
If you want to check the colleges you want to get you can check out the link given below -
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp
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