M.E /M.Tech.
Some of the deemed universities offering Geotechnical engineering (Mtech) are:
Rest list of colleges you can check here.
Good Luck.
The criteria varies college to college so kindly tell which particular college/university you are asking for as it is quite difficult to provide the information without knowing the complete details.
I would say most of the good institutes like IITs, NITs, IIIT-D etc accept Gate score and few universities/colleges which provide admission in M.Tech program without Gate are mentioned below -
BITs Pilani
Jamia Hamdard University, Kamdard Nagar, Delhi
Guru Gobind Singh Indraprastha University, Kashmere Gate, Delhi
Jawahral Nehru University(JNU),
As there is nothing mentioned for Gate 2018 cut off but as per previous year information the score for Construction Technology and Management was 666 - 714 (General) in NIT, Warangal.
To check the complete information, you can go through the below article -
NIT Warangal Cut off
Good Luck!!!
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