Hello,
It's not uncommon to do MBA after BA programme, quite a lot of people prefer to do that.
For, a person starting from scratch, there is lot to be absorbed within in terms of knowledge part when it concerns the management studies, here goes the hard work.
Next, MBA should be done from a well recognized top college with placement facilities for students, because it does cost a lot of money to pursue MBA, unless you bag seats in government ones.
There are many exams conducted like CAT, MAT, XAT, SNAP for admission in MBA Programme.
Hope, this helps.
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