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CAT 1997 | Question: 106

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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?

  1. The average weight of all the four groups is the same.
  2. The total weight of A and C is twice the total weight of $B$.
  3. The average weight of D is greater than the average weight of $A$.
  4. 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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