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Naresh you can go for the the two together. One course should be regular mode and other one in distance mode.
Join LLB from some good university and if they are offering courses through distance mode, then join MA from there otherwise you can join it from some other university.
Most law schools give admission on the basis of CLAT/ LSAT. Some give admission on the basis of CLAT/ LSAT as well as your previous qualifying exam.
Law schools that offer admission through CLAT/ LSAT are
Jodhpur National University, Narandi, Jahnwar Road, Jodhpur
Siddhartha Law College, Sahastradhara Road, Near IT Park, Dehradun
SOA National Institute of Law, Siksha O Anusandhan University, Khandagiri Square, Bhubaneswar
Law schools that offer admission through CLAT/ LSAT as well as previous qualifying exam are
Lovely Professional University, Phagwara
Amity University, Noida
G D Goenka University, Gurgaon.
Check their websites for more details.
Good luck.

Faqruddin, MBA after getting an engineering degree will be a good option to go for. Your technical knowledge and professional attitude will help you a lot to think deeply about a problem and solve it quickly and correctly. Your technical degree will provide a strong hard foundation platform for your growth on which you will construct the building of managerial skills.
Due to these factors it has been seen that many students are opting for MBA instead of going for M.tech. MBA not only provides a lucrative promising career but opening of lots of new courses under MBA has further ameliorated its chances to get selected by the students, who do not want to leave their graduation subject and want to pursue their higher studies in same subject but in a little different manner.
Most of the top positions these days are managerial.
There are different ways of admission in MBA. Some institutes prefer CAT/XAT/ MAT scores only for admission to MBA course. And to appear for CAT/XAT/MAT etc student needs to have 50% in graduation. But eligibility criteria varies for various Management Institutes or Universities, they can take different %age in graduation along with CAT/ MAT/ XAT scores.
Another way of admission is internal tests or admission criteria of individual Management Institutes or Universities.