Can I take admission in the best BBA college without any entrance examination?

Yes, you can there are many colleges out there. Look it depends on you how you want to frame your three years. And in today world colleges are marketing themselves tremendously so be aware don’t fall in the trap. If you spend 12 lakh or one lakh the value of BBA will be same it’s just a graduation. Be more specific about your master. And just chill and don’t stress yourself out for graduation.