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Hello Nunavath,
Assuming that you are a general category student, it will be very tough, almost impossible for you to get admission in any IIT, old or new. As for NITs, even there the chances are very low butyou might be able to get some branch in NITs like Srinagar, Manipur, Nagaland, Sikkim, etc though it will depend hugely on the discipline you are opting for.
For cutoffs of various IITs and NITs, follow the below links:
According to your score you have a very slim chances of getting a good college if you belong to general category but if you belong to any reserve category than you might have chance. But it also depends upon the branch in which you want to take admission and also on the no. Of candidates applying for the admission.
To have a good idea of previous year Cutoff branch and category wise please go to the below mentioned link
https://www.google.com/amp/s/engineering.careers360.com/articles/gate-cutoff-for-nits/amp
https://engineering.careers360.com/articles/gate-cutoff-for-iits/amp
Hope this will help you. Feel free to ask any query.
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