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Hi aspirant
According to your marks if you have scored 136 marks ,your percentile would be within 96.1%ile to 96.7%ile and your rank would be approx 50k.
You can get NITs of North India like Manipur,Meghalaya ,Arunachal Pradesh.You can easily get IIITs and GFTIs .You can get core branches at GFTIs.
So must apply for IIITs and GFTIs also you can apply for North Indian NITs.
Check cut off of NITs/IIITs/GFTIs :https://engineering.careers360.com/articles/jee-main-cutoff
Hope this helps you.
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