CAT 1997 — QA Question 6
Answer the next 3 questions based on the following information.
There are 60 students in a class. These students are divided into three groups A, B and C of 15, 20 and 25 students each. The groups A and C are combined to form group D.
If all the students of the class have the same weight, then which of the following is false?
Answer & solution
- A
The average weight of all the four groups is the same
- B
The total weight of A and C is twice the total weight of B
The average weight of D is greater than the average weight of A
- D
The average weight of all the groups remains the same even if a number of students are shifted from one group to another
The total weight of any group will vary according to the number of students in that group. Hence, the total weight of group A and C which has (15 + 25) = 40 will be twice that of students in group B which has 20 students. However, it is clear that if all the students are of same weight, then the average weight of all groups remains same irrespective of how many students are present in each group. Hence, clearly the statement 3 is false