Exam

Yes sure, you can apply for unlimited courses in the same year but the problem is that at present I. e. 2020 December you can only pursue 2 courses simultaneously but by different means. One should be regular course and second should be distance course. UPVOTE would be appreciated !

Hello Pasupathi, It's Indeed very nice to know that you are interested in pursuing your research in mathematics from one of the IIT is in India. To help you I am attaching a link that will give you all the required formation about admission to doctoral programs in IIT Mumbai. Different it is will have such different brochures. I will advise you to go through this brochure first and read it fully to comprehend what Mumbai IIT is saying since it will be similar for other it is as well. http://www.iitb.ac.in/newacadhome/phd.jsp
Best wishes to you.

Hello Akerkar, it's nice to see that you want to know about different institutions and their reputation and whether you can get admission or not. Well, I am attaching a link that will predict the branch and the college that you can get based on your performance in mht CET examination.
https://www.shiksha.com/engineering/mht-cet-college-predictor
Best wishes to you.

Hello Akerkar, this college formed in year 2007 seems to have good reputation. The cutoffs of previous years are available in terms of ranking. I am attaching a link that will give you all the required information about different aspects of this college.https://www.shiksha.com/college/zeal-college-of-engineering-and-research-narhe-pune-36894/cutoff
Best wishes to you.

1. CBT MAT is online version of MBA entrance exam conducted by AIMA. It is accepted by more than 300 b schools across India.
2. Yes, the test score is valid for 1 year
3. Many top b schools accept MAT score like Amity, JIMS, Christ, IPE Hyderabad, OP Jindal, FIIB New Delhi. MAT score is accepted by almost all top b school and AIMA member b schools.