As known that for admission into IIM's IPM one has to go through A.T and a personal interview.

The Aptitude test consists of 2 parts. One that of quantitative aptitude and other being the verbal ability. For quantitative aptitute one can refer to the book Qbjective Arithmetic of R.S. Aggarwal,

Hii

For writing a 5 marks question in board exams, I can suggest you that firstly on reading the question, make up your mind what is the answer to the question and decide 5 main points.
Start with the first point and elaborate the point with relevent example if possible

Hello !weolco wto careers 360.

IFIM Bangalore is a little different one when compared with other b schools.it focus mostly on personal development.the placements are good avg package is 6-7L per annum.it is ranked around 50.

Talking about BIMM it's an good institute ranked around 50 for MBA in2017 by

Are you asking about recruitment to PSUs through GATE? The only PSU with an option for Aeronautical Engg/Aerospace Engg is DRDO. Unfortunately application for recruitment through GATE at DRDO closed on January 5, 2018. 

Please check the list of PSUs and the disciplines involved, from the below link

https://engineering.careers360.com/articles/psu-recruitment-through-gate

Your expected rank will be around 1,10,000.

You can get good private college in other states like: Haryana, UP, West Bengal, Punjab, Rajasthan, Maharashtra. Most of the states have reservation for other state students in private colleges based on JEE Main score/rank. You need to apply separately for them