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Yes, you can take admission in government engineering exam by giving betterment result. You should get 75% marks in your boards exam or you should be in top 20 percentile to be eligible for NITs/IIITs/IITs and GFTIs.
Know your college admission chances in NITs, IIITs and CFTIs, many States/ Institutes based on your JEE Main result by using JEE Main 2025 College Predictor.
Each Gov. college has different criteria to take the admission If you want to go for improvement exam for good result then according your score you can apply for any colleges whether IITs, NITs. IIITs, GFTIs or any other Gov. college. For further eligibility to apply for IIT JEE exam you can go through with given below link.
JEE main Eligibility criteria
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