1
Question
There are 12 girls and 42 boys in the school choir. The choir teacher plans to arrange the students in equal rows. Only girls or boys will be in each row. What is the greatest number of students that could be in each row?
There are 12 girls and 42 boys in the school choir. The choir teacher plans to arrange the students in equal rows. Only girls or boys will be in each row. What is the greatest number of students that could be in each row?
Open in App
Solution
The correct option is B 6
Given,
Number of boys = 42
Number of Girls = 12
To find maximum number of students in each row, we have to find GCD of 42 and 12.
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The common factors of 12 and 42 are 1, 2, 3, 6.
∴ GCD of 12 and 42 is 6.
Hence, maximum number of students in each row is 6.
Given,
Number of boys = 42
Number of Girls = 12
To find maximum number of students in each row, we have to find GCD of 42 and 12.
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The common factors of 12 and 42 are 1, 2, 3, 6.
∴ GCD of 12 and 42 is 6.
Hence, maximum number of students in each row is 6.
Suggest Corrections
0
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
