Overall mean and the means of some subgroups: find the mean (or value) of the rest
This type of question, asked 6 times: CDS 2 2016, CDS 1 2017, CDS 1 2018, CDS 1 2020, CDS 1 2021, CDS 2 2023. All 7 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2016
92In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average marks of the girls ?Tap an option to check your answer.
Question 2
CDS 1 2017
52The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students areTap an option to check your answer.
Question 3
CDS 1 2018
53The arithmetic mean of 11 observations is 11. The arithmetic mean of the first 6 observations is 10.5 and the arithmetic mean of the last 6 observations is 11.5. What is the sixth observation?Tap an option to check your answer.
Question 4
CDS 1 2018
45The average of the ages of 15 students in a class is 19 years. When 5 new students are admitted to the class, the average age of the class becomes 18.5 years. What is the average age of the 5 newly admitted students?Tap an option to check your answer.
Question 5
CDS 1 2020
34In a class room the ratio of number of girls to that of boys is . The average height of students in the class is 4.6 feet. If the average height of the boys in the class is 4.8 feet, then what is the average height of the girls in the class ?Tap an option to check your answer.
Question 6
CDS 1 2021
27Let the average score of a class of boys and girls in an examination be . The ratio of boys and girls in the class is . If the average score of the boys is , then what is the average score of the girls?Tap an option to check your answer.
Question 7
CDS 2 2023
85The mean of p, q, r, s and t is 280. If the mean of p, r and t is 240, what is the mean of q and s ?Tap an option to check your answer.