Question

In an MBA college, students who have opted for the Marketing, Finance
and HR programs are 84, 108 and 192 respectively. These students
have to be seated in batches such that minimum number of
classrooms are needed, and in no class should there be students from
different fieldsinthe same class. Also, equal number of students must
be seated in each room. How many rooms are required to meet the
above mentioned conditions?

32
21
12
60​

Answer 1

Explanation:

32 is correct answer bor

Answer 2

Given:

Students who have opted for the Marketing program = 84

Students who have opted for the Finance program = 108

Students who have opted for the HR program = 192

To find:

How many rooms are required to meet the  above mentioned conditions?

Solution:

First find the HCF of 84, 108, and 192

84 = 2 × 2 × 3 × 7

108 = 2 × 2 × 3 × 3 × 3

192 = 2 × 2 × 2 × 2 × 2 × 2 × 3

HCF = 2 × 2 × 3 = 12

So, the number of students in each class is 12

Number of rooms for Marketing program = 84 / 12 = 7

Number of rooms for Finance program = 108 / 12 = 9

Number of rooms for HR program = 192 / 12 = 16

So, total number of rooms = 7 + 9 + 16 = 32

Therefore, 32 rooms are required.