In India if you want to open a private limited company, you have to make sure that the name you are choosing for your company should be available for the services you want to provide.
You can check if your company name is available or not at Ministry of Commerce affair site.
If this link is not working ( Some times it says “session Expired” ), than please visit this link, and then from Other Services menu select “Check Company or LLP Name”
Just select Relation : Contains any where or Starts with, and enter name of your company in Company Name or LLP Name and hit enter ( At the time of writing the search button was not working ). It should come up with list of companies that have your company name in their name.