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Hey Khan,
There is no minimum marks required to appear in JEE-MAINS Only for admission on IITs,NITs and GFTIs it's required.As per your above mentioned score your have percentage of 77.8 and as per NTA norms it's required to have 75% for General Candidate and For SC/ST as per relaxation 65% is required. So YES you are eligible to Get admission in IITs NITs IIITs and. GFTIs.
Best of luck
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