There are 3 classes A, B and C. There are 42, 63 and 84 students in these classes respectively. Each class is to be divided into groups. Each group has same number of students. Each group should have students from only one class. Every student is a part of 1 group. What is the maximum number of students in each group?
Show answer & explanation
Correct answer: D
Explanation
Given:
A = 42, B = 63, C = 84
According to the formula:
Maximum equal group size = HCF (42, 63, 84)
42 = 2 × 3 × 7
63 = 3 × 3 × 7
84 = 2 × 2 × 3 × 7
HCF = 3 × 7 = 21