Yes, An humanity student can apply for MBA.You should be graduate in any of decipline from recognised university. There are many entrance exams like CAT, CMAT, MAT, XAT etc. you can appear for the exams, based on your score you can get admission in top B School. Apart from cutoffs, There are various criteria for shortlisting and selection after clearing exam with good score such as past academic records, Extra curricular activity, work experience etc.

You can check other top entrance exams & their eligibility with given below link.

Top MBA Entrance Exam

Good Luck!