MAT

No, its not possible. With 42 percentile, you will not get the call for GD/PI.

Normally, the specialization in management will be taken based on your graduation and other experience. You can take MBA in finance.
You can also opt for marketing and production and operations management. You can get admission based on your MAT score.
All the best.

Its great connecting with you. First of all, congratulations for scoring good in CAT and MAT. Yes, you can expect a call because last year, one student got the call at 68% in MAT. So, hope for the best.

You should initially prepare yourselves for the entrance exams. Later, take some coaching from the institutes and do not forget to solve old papers. Do not expect that a single book will help you to solve the entire entrance exam.

Hi,
Kindly, check the below given list of MBA colleges in India accepting MAT scores:
https://www.shiksha.com/mba/ranking/top-mba-colleges-india-accepting-mat/2-2-0-0-306

Try and take February MAT. If not possible then you may opt for ITM Navi Mumbai, Welingkar, Kirloskar, NDIM, XIME, BIMTECH, etc.

Some colleges for you are BIMTECH Noida (retail and insurance management), XIME Bangalore, etc.

There is no such test only GD/PI.

Admission to PGDM is totally based on group discussion and personal interview. Percentile won't make much difference. Prepare for GD & PI and make sure you crack it.

CAT is a National entrance exam conducted by IIM's for its selection process and the score of this entrance is used by all the Tier I and Tier II colleges in India for selecting candidates.
MAT is also a National entrance exam for MBA, but it is being used by Tier III and Tier IV colleges. Generally, top colleges won't prefer MAT as the level of difficulty is low.
CET is an entrance exam conducted by Maharashtra government for selecting candidates for their MMS course in institutes affiliated to Maharashtra Universities.