Average of Class

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(CAT 1997)

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.

1. What is the average weight of the students in group D?
a. More than the average weight of A 
b. More than the average weight of C
c. Less than the average weight of C 
d. Cannot be determined

2. If one student from group A is shifted to group B, which of the following will be true?
a. The average weight of both groups increases
b. The average weight of both the groups decreases
c. The average weight of the class remains the same
d. Cannot be determined

3. If all the students of the class have the same weight, then which of the following is false?
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
c. 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

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