To get admission in IIT you need to clear jee advance and also score good enough to get IITs as their cutoffs are high. Moreover you may get NIT bhopal with this rank but you can't get top branches like cse, ece ece as their cutoffs are lower than 6k for general category. But you can easily get branches like civil, mechanical, chemical and mechanical.

Due to the fact that ews category is implemented from this year only so it is difficult to give exact cutoffs for them but we can refer to previous year cutoffs of general category and can give a rough estimation.

You can predict what colleges you may get with this rank by going through the link of college predictor tool given below.

https://engineering.careers360.com/jee-main-college-predictor

Hope it helps.

Thank you.