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Subgroup means and the combined mean: find the size, share or ratio of a subgroup

This type of question, asked 7 times: CDS 2 2016, CDS 2 2018, CDS 2 2019, CDS 2 2020, CDS 2 2022, CDS 2 2024, CDS 2 2026. All 7 questions below, oldest first.

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  1. Question 1

    CDS 2 2016

    40
    If the mean age of combined group of boys and girls is 18 years and the mean of age of boys is 20 and that of girls is 16, then what is the percentage of boys in the group ?

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  2. Question 2

    CDS 2 2018

    56
    The average marks of section A are 65 and that of section B are 70. If the average marks of both the sections combined are 67, then the ratio of number of students of section A to that of section B is

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  3. Question 3

    CDS 2 2019

    25
    In a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class ?

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  4. Question 4

    CDS 2 2020

    96
    The mean weight of 100 students in a class is 46 kg. The mean weight of boys is 50 kg and that of girls is 40 kg. The number of boys exceeds the number of girls by

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  5. Question 5

    CDS 2 2022

    64
    Consider the following table in respect of students of 4 schools who appeared in a test :
    SchoolNumber of studentsAverage marks in the test
    I6060
    II5080
    III5040
    IVx50
    If the average marks of the students of all four schools are 58, then how many students appeared from School-IV ?

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  6. Question 6

    CDS 2 2024

    41
    The mean weight of 150 students in a class is 60 kg. The mean weight of boys in the class is 70 kg and that of girls is 55 kg. What is the ratio of number of boys to number of girls ?

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  7. Question 7

    CDS 2 2026

    92
    The average weekly wages of male employees in a company is Rs. 4,200 and that of females is Rs. 3,200. If the average weekly wage of all employees is Rs. 4,000, then what is the ratio of male to female employees ?

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