Dear student,
As per your question you have 60.2 percentage in Boards but NIT guidelines says that student with minimum 75% or top 20% ile of any board is eligible for IIT and NITs. So talking about these two, you can not get a seat in IITs and NITs.
Talking about other colleges, government college of your state ( technical institute) will definitely be accepting admission in the basis of Jee marks, so you can try there. Hope you have gotten the answer and best of luck.
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