MBA/PGDM

Your chances are very low to get admission for MBA.
Many private universities and colleges offer this course.
You can try your luck there.

According to your score, following colleges are available for you:
PSG, Coimbatore Sri Sivasubramaniya Nadar College of Engineering, Kancheepuram Anna University-CEG Thiagarajar School of Management (Co-Ed), Madurai Kumaraguru College of Technology, Chinnavedampatti Post, Coimbatore St. Joseph's College of Engineering, OMR, Chennai Easwari Engineering College, Ramapuram, Chennai RMK Engineering College, Gummidipoondi, Thiruvallur
Except for Anna University-CEG, other government colleges do not have good placement records or training facilities.

Dear Hitesh,
Most of the good universities in Australia do not require GMAT for MBA admissions, they will only ask for scores of above 65%ile and an IELTS of overall 6.5 with no band less than 6. Some prefer a supervisory experience of 2 years and most have MBAs for freshers. Some like Deakin offer dual MBA i.e. you can study for an additional 6 months and also get a Masters in Accounting. Please do not take 1-year MBA as this will not make you eligible for a post-study work visa, you need to enrol for a 2-year course only.
All the best.

Hello Aditya, The last line of your question description is so positive that it seems you will be able to achieve what you want to. Academic results may not be the final judgement sources for anyone. You have scored first class marks in 10th and 12th. The average result does not mean your past can hamper your CAT score. For a really good score in CAT maths won't play a direct role because even if you opted for Science or arts in 12th, calculation remains a part of the reasoning segments. Your English language skills will make a great difference. Prepare with strategy and overshadow the fear.

Hi Meghana, You can refer to this link to find the top colleges accepting CAT scores for admission in MBA:
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-india-accepting-cat/2-2-0-0-327.

Dear, to be frank industry doesn't recognize part-time executive MBA. You have to do MBA full time i. e., either PGP or PGPX for career shift/job switch and good pay hike. However, executive MBA helps you to hone the additional skills which you may lack currently and many companies encourage their employees to pursue the same. Some companies give promotion to the employees who completes executive MBA from reputed institutes. So to answer in a nutshell, existing organizations may provide career growth for those who complete executive MBA but not the industry. Hope this helps.
Good Luck.

Yes, you are eligible to do MBA in Hospital Management. Anyone with a UG degree is eligible.

Are you talking about executive MBA or PGDM? Yes, after completing these programs, you can go for Ph.D. You need to decide from where you wish to pursue the degree and check criteria of admission.