Hello aspirant,

There is entrance examination in almost every national goverment university bit there rae some private colleges which provide sirect admission, also there are merit based admissions in some of the colleges like

• Christ Univeristy
• Lady shri ram college for women 
• Hindu college
• St. Stephen's college
• Loyola university
• Fergusson college
• Madras christan college
• Stella maris college

You can be more clear about the location in which you are looking college for. 

Thank you!!