Hello,
By LLB if you mean three year law program, then unfortunately Maharastra National Law University doesn't offer three year LLB course, if offers BA-LLB(hons), LLM, PhD , PG Diploma and in case you want to know about lateral entry option then this doesn't exist in law program, if you wish to pursue integrated law course you have to do it from the first year itself, it's not like after graduation you join it, though you can pursue LLB of three years, you can appear for MAH CET LAW for three year LLB course, stay updated at the official website at http://cetcell.mahacet.org/ to know more details regarding this. or you can also follow our page at https://law.careers360.com/articles/mh-cet-law
Other than this you can consider Delhi University which conducts DU LLB, Allahabad University and Banaras Hindu University conduct their own entrance test.
Check out LLB colleges at https://law.careers360.com/colleges/list-of-llb-colleges-in-india
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