Since the total number of students, when divided by either 9 or 10 or 12 or 25 each, gives a remainder of 4 , the number will be in the form of LCM(9,10,12,25)k+4=900k+4. It is given that the value of 900k+4 is less than 5000 . Also, it is given that 900k+4 is divided by 11 . It is only possible when k=2 and total students =1804. So, the number of 12 students group =