I have a few friends pursuing MTech Applied Mechanics from MNNIT Allahabad. According to their review, the Department of Applied Mechanics at MNNIT is known for its rigid and research-oriented teachers. 

If you plan to complete a Ph.D. and further studies after M.tech then this course is a good option.

However, if you are opting for MTech just to prepare for BTech level competitive examinations, then it will be better not to choose this department. 

MTech students do get placement offers in the on-campus placement drive. If you work hard and maintain good grades, you are likely to secure a placement offer. Many private companies visit the campus for placement drives. Securing a placement offer depends more on your effort.