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The closing rank for 2017 NIT Goa for students belonging to Goa State OBC category in round 7 was 24238 but for outside state OBC was 4593. Since this year the cutoffs have be lower than last year there may be a variation in the closing ranks, but if you belong to Goa state you do have a chance.
Check JOSAA Round wise and Institute wise opening and closing ranks from this link
JOSAA 2017
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