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Hello shankar.
Well,with percentile we can't estimate any cutoff for NITs because it can cause alot of mess but can only be done with the help of rank.You can predict your rank with the formula rank=(100-percentile)*874469/100.After calculating you rank,you can then predict college based on it.I don't think you can any NIT based on 78.9 percentile and also there is no free seat for any such percentile.Hope this helps.
Good Luck!
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