Question

The number of students of Std 6th and Std 7th who went to visit the Tadoba Tiger Project at Chandrapur was 140 and 196 respectively. The students of each class are to be divided into groups of the same number of students. Each group can have a paid guide. What is the maximum number of students that can be there in each group? Why do you think each group should have the maximum possible number of students?

Answer 1

Number of students of Std 6^th = 140 

Number of students of Std 7^th = 196 

The maximum number of students in each group will be the greatest common factor of 140 and 196. 

Factors of 140 = 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Factors of 196 = 1, 2, 4, 7, 14, 28, 49, 98, 196 

∴ HCF of 140 and 196 = 28 

∴ Maximum students in each group are 28.

Each group should have maximum number students so that there will be minimum number of groups and hence minimum number of paid guides.