Dear student, GATE exam has been made mandatory for students who want to pursue Masters course in Engineering fields. You can definitely get a college without appearing for entrance exams like GATE, but at the end you will have to sit for entrance exams of private colleges too. You can't escape these tests of yours.

hello aspirant,

there are many private institute in india which offers mtech courses without gate examination.

some are as follows,

Manipal university 
Nicmar they have their own entrance
VIT have their own entrance
Rics school of build environment.

hope it helps.