MAT

Sure, here are some top colleges in Mumbai and Pune that you could consider based on your MAT score:
Mumbai:
Jamnalal Bajaj Institute of Management Studies (JBIMS)
Sydenham Institute of Management Studies, Research and Entrepreneurship Education (SIMSREE)
KJ Somaiya Institute of Management Studies and Research
Narsee Monjee Institute of Management Studies (NMIMS)
Welingkar Institute of Management Development and Research
Pune:
Symbiosis Institute of Business Management (SIBM)
Department of Management Sciences (PUMBA), University of Pune
Symbiosis Centre for Management and Human Resource Development (SCMHRD)
Balaji Institute of Modern Management (BIMM)
MIT School of Business
These colleges are highly reputed and offer excellent management programs. However, do research more on your own to find the best college that suits your interests, aspirations and location preference.

Congratulations on scoring 503 marks in MAT 2019! There are several good colleges in Mumbai and Ahmedabad that accept MAT scores for admission into their management programs. Here are some options for you to consider:
Mumbai:
1. Jamnalal Bajaj Institute of Management Studies (JBIMS)
2. KJ Somaiya Institute of Management Studies and Research
3. Narsee Monjee Institute of Management Studies (NMIMS)
4. Prin. L. N. Welingkar Institute of Management Development and Research
5. SIES College of Management Studies
Ahmedabad:
1. Indian Institute of Management Ahmedabad (IIMA)
2. Mudra Institute of Communications Ahmedabad (MICA)
3. Institute of Management, Nirma University
4. Amrut Mody School of Management, Ahmedabad University
5. Adani Institute of Infrastructure Management
I recommend you to research each of these colleges and their respective programs to determine which one would be the best fit for you based on your academic and career goals.

The admission process and criteria vary from one institution to another. The minimum composite score required for admission also depends on the particular program and the competitiveness of the applicant pool. Therefore, without knowing the specific institution and program you are applying to, it is difficult to determine your chances of admission.
However, a composite score of 719.50 and a percentile of 96.50 in February MAT are generally considered to be good scores. To improve your chances of admission, you may want to research the admission requirements of the institutions and programs you are interested in, and ensure that you meet all the eligibility criteria. You may also consider strengthening your application by highlighting your relevant skills and experiences, submitting strong letters of recommendation, and writing a compelling personal statement.

Admission to a particular program or institution depends on several factors besides your MAT score, such as your academic background, work experience, and other qualifications. Percentile and composite scores are just one aspect of the selection process.
However, based on the information you have provided, scoring 86.18 percentile and a composite score of 658 in May MAT is a good achievement. It indicates that you have performed better than 86.18% of the candidates who appeared for the exam.
To determine your chances of admission, you should check the eligibility criteria and selection process of the institution or program you are interested in. You can also refer to the previous year's cutoffs to get an idea of the minimum score required for admission.
It's also important to keep in mind that admission is a competitive process, and there may be other factors that can influence the final decision. So, it's essential to prepare well for the selection process and present your application in the best possible way.

Based on your composite score and percentile, you have a decent chance of getting admission to PSG Institute of Management (PSGIM) through the May MAT 2019 exam. However, admission to PSGIM is based on multiple factors, including your academic background, work experience, and performance in the selection rounds, which may include Group Discussion and Personal Interview . Therefore, it's difficult to say for sure whether you will get admission to PSGIM or not based solely on your MAT score. I would recommend checking the official website of PSGIM for the admission criteria and selection process, and also contact the admission office of PSGIM for more information about your chances of getting admission.

I suggest you try the following methods to obtain the previous year's question papers:
Check the official website of the exam or the institution - Many educational institutions and examination authorities upload previous year's question papers on their official website for students to access. Contact the institution - You can reach out to the institution or the examination authority and request them to provide you with the previous year's question papers. Use online resources - There are several websites and portals that provide access to previous year's question papers for various examinations. You can search for these resources online and download the question papers. Ask your seniors or teachers - You can also ask your seniors or teachers if they have access to the previous year's question papers. They may be able to provide you with the question papers or guide you on where to obtain them. Remember that solving previous year's question papers can help you understand the exam pattern, types of questions asked, and difficulty level of the exam. It can also help you identify your strengths and weaknesses and improve your preparation for the exam. Please upvote if it was helpful.