I have seen, people do start telling much story. If you have gone for a technical position, then you should limit yourself in 3 major terms: 1) Education 2) Experience and 3) Exposure (skills for which you are there).
For a technical position, why to start like this: “I ABC, 30years old, belongs from XYZ city of PQR state. I got married in year XXXX and have 2 kids. I did my graduation from MNR in computers and masters from RST. Then I joined a small company CMP in XXXX, and since then I am working….”
Interviewer is there for finding a suitable candidate and not for listening detailed stories. They have very limited time and a great challenge to judge a candidature from so many applicants. So, be specific and to the point while answering.
In marketing or travelling oriented jobs, interviewers wish to know about your personal details. It matters, because that job profile require any time travelling and city movement.
But, for technical profile, relocation or office transfer is not much and limited. So, no need to waste time in telling personal details, rather tell professional.
A legend, Shivprasad Koirala sir, also suggests to be specific and tell relevant details only.
You can complete your answer like: "I have done my graduation in this, and masters in this. In terms of experience, I have so much experience particularly in this n this domain. Currently I am working with this organization on this project and using this n this technology..."
After saying so much, just pause and notice the reaction of interviewer. He may be OK with your this brief.If interviewer is just OK with this much answer, he may just ask you like this “OK, Can you brief me about your current project and your role?”.
I would like to highly recommend you to not tell where you want to see in next 2-3 years unless and until you asked this question. I feel, Indian interviewers are not so mature to hear from you that you are looking yourself at some position without their asking :(. So, if asked, then only answer :)
Your experience & feedback is welcome.