Hi
Ofcourse you can if you fullfill all the eligibility criteria you can apply.
Here are the set of eligibility criteria.
1. For IIT madras and NIT
Minimum aggregate of 75 % in 12 std.
For IIT a vaild score in JEE ADVANCED
For NIT a vaild score in JEE MAIN.
2. Priviate universities like VIT
A minimum aggregate of 60 %
A vaild score in the entrance exam conducted by priviate colleges.
3. Other state colleges
A minimum of 55 % in 12 std
A vaild score in TNEA
for NIT a vaild score in JEE MAIN.
Candidates can check B.Tech Cut off for Top IITs & NITs here.
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