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Hi Lora, there is no NIT in Mumbai but present in Maharastra called VNIT Nagpur.if you score 170 marks in jee-main then you would get admission in VNIT Nagpur if your domicile is Maharashtra mean home state quota is included in the ranking.
if you want to know about the last year cutoff trends of VNIT Nagpur then check it out given link :
https://engineering.careers360.com/articles/jee-main-cutoff-for-vnit-nagpur
good luck
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