MAT

Attempt all the questions. No matter what you feel. To get good percentile you need to score more than 650 marks.
Few tips to solve the questions:
When you start the test use your experience of sample paper and do keep track of the time. Read directions very carefully, don't assume information which is not provided. Be cool during the test and don't get bogged down by lengthy calculations. In case of guessing, do it the intelligent way and pay attention to the negative prefixes such as non-, un-, or this.

A candidate needs to have atleast 50% and above (Open Category) and 45% and above (Reserved Category) in Graduation to be eligible.
Cutoff for MAT is 99.9X percentile.

Dear Aswani Kumar Sinha. Prefer TIME, or IMS coaching centres as they are famous for coaching.
All the best.

With 70 percentile marks, you will get into a decent college. But the placement scenario in such colleges will be at risk. There is only 50% chance that you will get placed. But in case you have to choose a college, go for the one with better infrastructure.

Some of the best books comprise:
Mission MBA guide by B.S. Sijwali and Tarun Goyal by Arihant
MAT entrance exam with practice CD by GKP
The Pearson MAT super course with CD by Pearson
Study package for MAT by Arun Sharma
10 challengers MAT: 10 mock tests for MAT by Dharmendra Mittal
MAT score accelerator by Disha publications
MAT solved papers by Disha experts
10 mock test papers for MAT by career launchers
Barrons guide for MAT by Eugene D.Jaffe
MAT Entrance guide by Deepak Aggarwal

You need to give SNAP to get into SIBM.

MAT exam is conducted 4 times in a year.

There are some good colleges, accepting MAT scores in/around Mumbai. Some of them are:
ITM Business School, Kharghar.
Institute of Business Studies and Research, CBD Belapur.
Thakur Institute of Management Studies and Research, Kandivali.
Thadomal Shahani Centre for Management, Bandra.
Durgadevi Saraf Institute of Management Studies, Malad.
Vivekanand Education Society's Institute of Management Studies and Research, Chembur.