Hello Yash,

Indraprastha University Common Entrance Test (IPU CET 2019) offers law courses too. And the eligibility you are looking for is:

• Indian nationality. Minimum qualification for UG course- 10+2 board examination or equivalent exam.
• Age must be between 18-21 years. 
• the eligibility criteria for each course differs. However, there are some basic eligibility conditions which must be taken care of before filling IPU CET 2019 Application Form

The application has already begun in February and the application fee is Rs. 1000

To get a seat in BA/LLB you need to take CLAT-UG. Details to which are provided here:

candidates should have passed class 12 for UG courses. The last date of application is 31st march so please hurry. 

• Availability of CLAT 2019 Application FormJanuary 13 – March 31, 2019
• Availability of CLAT 2019 Admit Card April 26, 2019
• CLAT Exam Date 2019-May 12, 2019 (Sunday 3:00 PM to 5:00 PM)
• Uploading of Answer Key May 15, 2019
• Declaration of CLAT 2019 Result (Merit List) May 31 – June 30, 2019

The registration fee is Rs. 4000/- 

Exam Pattern for LLB

For undergraduate courses, the question paper will contain 5 sections namely - English (Comprehension)(40 questions), General Knowledge & Current Affairs (50 ques), Elementary Mathematics (Numerical Ability)(20 questions), Legal Aptitude (50 ques) and Logical Reasoning (40 questions). 

For every correct answer, a candidate will be awarded 1 mark and ¼ mark will be deducted for every wrong answer.

I hope this information helps. 

Good luck.