Hello,

If you have scored 78 marks in JEE mains then your percentile would be somewhere around 90-92 percentile, with this score there are very less chances that you will get into a government college like NIT in your home state even if you are a girl candidate then still is very difficult for you to fetch an NIT with any branch with such score. Try to improve your marks in your next attempt.

If your score is 90% tile then there are high chances that you are eligible to sit for JEE advanced but this is not enough to clear JEE advanced and get an IIT. You have to work harder than before and clear your concept in the very last month that you have. If you manage to score somewhere around 100 in jee adv by clearing the cutoff of every subject then you will get the IIT. Now it is completely up to you how much hard work you are willing to put in the last month to achieve your dream of IIT. Only your dedication toward your goal is the deciding factor in whether you will get the IIT or not. One month is completely enough for you to score or at least clear JEE advanced. There are numerous examples of a student who didn't do well in their JEE main exam but cracked JEE advanced with flying colours just by following the right path. Now, you just have to choose the right study material, have a fixed schedule, cut off all the distractions and put all your focus on one aim. If you still do random studies and make the same mistake again like before then you won't be able to achieve that dream of yours.

Hope it helps, thank you.