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Well, brother firstly it must not be 96%, it would be 96%ile.
And sadly with your board percentage score, it is impossible for you to admit in NIT/IIIT.
As, you have not able to qualify for the JoSAA counseling.
But, don't loose hope. Their are some good colleges available who take students on JEE mains scorecard but with lower percentage required in boards.
1. NSIT, Delhi
2. DTU
3. IIIT Delhi
4. Thapur
5. VIT Vellore
Thank You
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