Hi Aspirant,
There is no such thing as management quota in IITs. They are autonomous public technical universities . There is only one way to get admission into IIT which is that after class 12th, candidates have to first appear and qualify the JEE Main entrance exam conducted by the National Testing Agency. After qualifying JEE Main a candidate has to qualify JEE Advanced to get admission into IITs and on basis of All India Rank(AIR) allocation of seats at the different IITs are through a common process by the Joint Seat Allocation Authority (JoSAA) .
For more information about JEE Main and Advanced refer the link below,
https://engineering.careers360.com/exams/jee-main
https://engineering.careers360.com/exams/jee-advanced
Hope this helps.
Good luck!!
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