Yes , if you work hard accordingly for the entrance test of FMS BHU you can definitely get into it,their is no limit on no of applications, only if submitted on time, entrance test is conducted to select students for a limited no of seats from the applications :

Admissions are as follows:

Admissions to MBA and MBA (IB) programmes are made on the basis of combined merit of Written Test (CAT conducted by IIM)-50% weightage; Academic records-20% weightage, Group discussion and Interview (conducted by FMS, BHU)- 30% weightage .Candidates are required to appear in CAT of the corresponding year and register at FMS, BHU through separate admission application form available at FMS, BHU.
BUT Admission to MBA (AB) programes is made on the basis of combined merit of Written Test conducted by Banaras Hindu University and Group Discussion and Interview conducted by FMS, BHU. Admission notification normally releases during April-May every year. The admission application forms will be sold from the Counter at Controller of Examinations, BHU.yes it is possible for a general category student to get into fms if he/she works hard and scores good in entrance tests.

Also for detailed reference i am linking below their official site for admission http://www.bhu.ac.in/fms/admissions.php

Hope this helps