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Hello dear
You may get non core branch in nit Trichy like mettalergicul or production.
And if you belong to home state ( you can get chemical ; civil or instrumentation and control engineering along with above two mentioned).
Not possible to get core branch.
And in IIIT bangalore ; there is only intergrated Mtech course and fair chances that get core branch according to last year's cut offs.
Good luck
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