The number of students who have opted for the Subjects Arts, Science and commerce are 120, 168 and 216 respectively. The examination is to be conducted for these students of the same subject are allowed in one room. Also the number of students in each room must be same. What is the minimum number of rooms that should be arrange to meet all these conditions?
A) 32
B) 28
C) 24
D) 21
Answers
Hope it helped you.
Mark as brainliest.
The minimum number of rooms that should be arrange to meet all these conditions is 24
Solution:
Given that,
The number of students who have opted for the Subjects Arts, Science and commerce are 120, 168 and 216 respectively
We have to find the minimum number of rooms that should be arrange to meet all these conditions
Which means, find the greatest common factor of 120 , 168 , 216
FIND GCF OF 120 , 168 , 216
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The factors of 168 are: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 216 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Then the greatest common factor is 24
Thus the minimum number of rooms that should be arrange to meet all these conditions is 24
Learn more:
What is the minimum number of square marbles required to tile a floor of length 5 m 78 cm and width 3 m 74 cm?
https://brainly.in/question/5504191
What is the greatest common factor (gcf) of 25x2 and 16y4?
https://brainly.in/question/10927739