M.Tech

You can go for Parul university or LPU.

With an average salary package of Rs. 4.5 LPA, around 80% of the students get placed.
Tech Mahindra being the star recruiter hired the maximum number of students as compared to other companies. The other major companies for campus placement are Capgemini, IBM, Indian Army, Indian Naval force, LinkedI

No, management seats are not available.

The most of the PSUs recruits candidates by using the GATE scores. So the GATE scores are mandatory requirements for PSUs. The Students of Integrated M.E/M.Tech or dual degree (5 years) after 12th are eligible for GATE exam. Hence Integrated B.Tech+M.Tech students are eligible for PSUs Jobs in India

From my point of view I must suggest you for Indus university. Because the placement is quite good compare to your other choice and at last placement is the only thing that matters.