Question

In a examination, number of student in Hindi English and mathematics are 60, 84, 108 respectively. Find the number of rooms required, if in each room the same number of student are to be seated and all of them being the same subject

Answer 1

45 rooms is required

Answer 2

Answer:

Number of rooms=21

Step-by-step explanation:

Given : In a examination, number of student in Hindi English and mathematics are 60, 84, 108 respectively.

To find : The number of rooms required, if in each room the same number of student are to be seated and all of them being the same subject?

Solution :

The number of students seated in each room would be H.C.F of all the three values above.

HCF is the highest common factor,

60 =2×2×3×5

84=2×2×3×7

108=2×2×3×3×3

HCF(60,84,108)= 2×2×3=12

Now no. of rooms required are total number of students divided by no. of students in each room.

Number of rooms=(60+84+108)/12

Number of rooms=21