Have you done this for getting your first job??
I was thinking that many people while searching for the first job got placed while in college if you folks are from Tier 1/Tier 2 college or have done some great internships and apply to job portals like linkedin/ but nowadays even applying via LinkedIn or having a good profile doesn't seem to work given the current market and saturation specially for entry level product management roles. Have you ever went to Bengaluru/gurugram explored different domains and tried to meet in person with the people in startups rather than applying through online portals and thought that it's a better way to get a job .