Hi aspirant

NITIE mumbai doesn't have M.tch is course curriculum.If you want to pursue PGDM(Post graduate diploma in medical) ,a kind of management course.

If you wish to pursue M.tech then apply for newer NITs .But you have less chances for that because of your category.Apply in state universities as cut off of NITs are bit higher.

Check the cut off of NITs here: https://engineering.careers360.com/articles/gate-cutoff-for-nits

If you still have doubt use GATE predictor tool which is quiet convenient also for predicting college based on the score and category .Visit the link given: https://engineering.careers360.com/gate-college-predictor

Hope this was helpful.