Am I eligible to pursue BCA as I got 60% in science GSEB board?

Yes, you are eligible for BCA with 60% marks. The minimum requirement for admission in BCA is 60% and in some colleges and universities it is only 50%. So you will some good colleges to pursue BCA.

Yes, you're eligible for admission into BCA. As you've scored 60% in +2 which is enough for getting admission into top colleges for BCA. So, select a college or university and seek admission. If you want to learn programming languages which you will be studying in your BCA course then you can check

Yes, you pursue BCA with the 60% but only in some colleges. Some colleges require higher marks to join or pursue BCA.