There are 104 students in class 10 and 96 students in class 9 in a school. In a house examination, the students are to be evenly seated in parallel rows such that no 2 adjacent rows are of the same class.
a}. Find the max number of parallel rows of each class for the seating arrangement.
b}. Also, find the number of students in class 9 and also class 10 in a row
c}. What is the objective of the school administration behind such an arrangement?
Total number of students = 200
(104 of class 10 and 96 of class 9)
HCF of 96 and 104 = 8
Number of rows of class 10th students 
= 13
Number of rows of class 10th students 
= 12
(A) Maximum rows can be formed = 12 + 13
= 25
(B) Number of students in rows of both classes = 8
(C) The objective behind such an arrangement is to avoid the chaos that students of same class sitting in adjacent rows often create.
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