No certainly not . A Bachelors in management studies degree from te shaheed sukhdev college of business studies , Delhi carries a lot of weight and can enhance your career but it is certainly not worth dropping 2/3 years for appearing for the DU-jat because even after getting into sscbs it might be very difficult for you to get placed in a good company with a good pay also. I would suggest you to continue your BBA in the college you are in and prepare for CAT in full swing as an MBA from an ivy league business school or from an IIM will make you career .
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If your BBA is from a private university definitely yes!
BMS is a very practical and analytical course which develops your analytical as well as business skills! BBA is less analytical. Moreover SSCBS is an emerging brand name and that brand name is totally worth it because of its faculty and the placement opportunities.
SSCBS has got one of the finest crowd and you will really enjoy being with people around. I know people who have left DTUs and NSITs and even mediocre branches from IITs. There are people who have even left SRCC. Now you can well imagine the crowd available here.
I would definitely recommend you to leave a BBA after a year for a BMS from SSCBS.
Cheers! I hope you make the best choice for yourself.