Hello Manasvi,
The government universities that provide 5 year integrated course at Undergraduate level are the National Law Universities (NLUs). There are 23 National Law Universities and 22 of them take admission through Common Law Admission Test (CLAT). National Law University, Delhi (NLUD) takes admission through a separate entrance test - AILET.
The application form for CLAT has been extended till 15th April 2019.
Hope this helps you.
All the best!
Please do tell in case you have any further queries.
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