T.F.
I do not talk with ANY company that calls me.
I don't care how great they are, if they make claims such as what you mentioned, my red flags go up and I would assume they want to get into your computer and gain access to all your files, including banking, etc.
NO WAY, would I do this.. If you feel like you need help with the computer, take it to a reputable place to have it checked out. No one should be cold calling with this type of thing..
I've had calls from the "bank" notifying me to change my password and enter my SS number right now for my protection. Little did they know, I was online banking at the time and I knew my account was not compromised.
Shiesters.... they'll try anything and they usually get someone, somewhere to fall for it.