Distance/Correspondence

Yes, you can apply for CAT. The main criteria of eligibility for CAT is graduation from a recognised university. So, whether the education mode is full-time or correspondence, if the university is recognised by the UGC, the candidates will be eligible to appear for the CAT exam.

See, the Distance LLB degree is not recognised by the Bar Council of India; hence, this programme is not provided by any UGC-approved university in India. Though you can check out some institutions like Mbitious Institute of Professional Studies, Atharav Distance Education, Pratham Institute of Education, Vidyasaathi, Success Path Institute of Management, etc.
These institutes will provide you with a Distance LLB degree to help you gain knowledge in legal studies, but you really can't start a Law career with it.

Since the Bar Council of India does not recognize the Distance LLB degree, IGNOU does not provide the program. But you can check out their own Law School programs, like:

• PG Diploma in Intellectual Property Rights (PGDIPR)
• PG Diploma in Criminal Justice (PGDCJ)
• PG Certificate in Patent Practice (PGCPP)
• PG Certificate in Cyber Law (PGCCL)
• Diploma in Paralegal Practice (DIPP) 
• Certificate in Consumer Protection (CCP)
• Certificate in Co-operation, Co-operative Law & Business Laws (CCLBL)
• Certificate in International Humanitarian Law (CIHL)
• Certificate in Human Rights (CHR)
• Certificate in Anti-Human Trafficking (CAHT)

Yes, a 3 year LLB Distance Education should be enough to provide the necessary legal knowledge, as the Bar Council of India does not recognize this degree, you can not go for the AIBE exam, which is a prerequisite to start practicing Law in India. Spending more than 3 years in the distance LLB program would not be a suitable choice.

SGT University Online is generally considered PG courses across various streams such as Management, Commerce, and Computer Application. It's a well-recognised private university with NAAC accreditation and approvals from various national councils. The university emphasises practical learning, experienced faculty, and strong industry connections, which can be beneficial for postgraduate students. 

No, NPGC Lucknow offers its campus and services as a distance learning center for IGNOU and UPRTOU however it does not have any Online/Distance-learning courses of its own at present. Candidates may apply for its various full time and physical courses however if they reside in Lucknow or are capable of commuting to campus.

For getting admission to Anna University Distance Education programme, candidates need to apply online from the official portal of the university. Admission is through Distance Education Entrance Test (DEET) held by Anna University. Candidates need to fulfill eligibility criteria before applying. Final admission gets approved after counselling and payment of fees.