Csat---math Questions

#1

In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class. [ U.P.S.C ( 2020 ) Pre. ]

#2

The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings? [ U.P.S.C ( 2020 ) Pre. ]

#3

There are two classes A and B having 25 and 30 students respectively. In class – A the highest score is 21 and lowest score is 17 . In class – B the highest score is 30 and lowest score is 22. Four students are shifted from class – A to class – B. Consider the following statements: 1. The average score of class – B will definitely decrease. 2. The average score of class – A will definitely increase. Which of the above statements is/are correct? [ U.P.S.C ( 2021 ) Pre. ]

#4

The average weight of A, B, C is 40 kg, the average weight of B, D, E is 42 kg and the weight of F is equal to that of B. What is the average weight of A, B, C, D, E and F ? [ U.P.S.C ( 2022 ) Pre. ]