Hello Prithvi
It sounds like your post MBA goals are very specific which is a good thing because when you apply to schools that fit your goals, you will have a very convincing argument for why MBA and Why xyz school. Keeping product management in mind, MIT-Sloan and Wharton offer he most promising program. But you should also take a look at McCombs, Ross, UCB-Haas and Tepper. Among these schools, Wharton, Ross and McCombs also feature among the top ten business schools for marketing. Because you are looking for a product management role in the IT sector, it makes sense to apply to universities that also have strong engineering program. As Bhavik mentioned, Tepper is one such school as CMU has the best CS department. But so do UT-Austin and UPenn, so Wharton and McCombs should definitely make your list. Purdue- Krannert is also a good option for product management and it can be one of your safe schools.
If you are interested in a one year MBA program, London Business School and INSEAD are your best bet. Both are excellent options for marketing and you can tailor your MBA to fit an internship as well. Also, spring admit in INSEAD will give you internship opportunities.
You can take a look at these articles to know more about the best business schools for product management
https://www.interviewbay.com/blog/top-bu ... management and the best business schools for marketing
https://www.interviewbay.com/blog/top-bu ... -marketing
Tell me more about your profile so we can get an idea of your chances for these schools.
Do get back to me.