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Hello sir
It is hard to say that your son will not get admission in good NIT in core branch because this percentile is not enough to get admission .
Because 95.7665904 percentile is relative score and nearly 4.2 percent students score more than you and when you calculate approximately rank .
Let's considered that nearly 10 lakhs students appear for JEE mains ( may increase or decrease) than your rank will be nearly 42 thousand and and there are limited seats in NIT.
So I would suggest that he should study hard and he has still 2-3 months with him for April exam ; he can do better .
Good luck
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