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CDS Maths. Try each one first, then open its answer.

Top 10 CDS PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 7 times: CDS 2 2016, CDS 2 2018, CDS 2 2019, CDS 2 2020, CDS 2 2022, CDS 2 2024, CDS 2 2026. This one: CDS 2 2026 See all 7 of this type

    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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  2. Question 2

    This type asked 6 times: CDS 1 2017, CDS 1 2018, CDS 2 2019, CDS 2 2020, CDS 2 2022, CDS 2 2024. This one: CDS 2 2024 See all 6 of this type

    80
    What is the difference between the average of first 50 even natural numbers and the average of first 50 odd natural numbers ?

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  3. Question 3

    This type asked 6 times: CDS 2 2016, CDS 1 2017, CDS 1 2018, CDS 1 2020, CDS 1 2021, CDS 2 2023. This one: CDS 2 2023 See all 6 of this type

    85
    The 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 ?

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  4. Question 4

    This type asked 4 times: CDS 2 2017, CDS 1 2019, CDS 2 2019, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type

    91
    If the mean of a set of 7 observations is 10 and the mean of a set of 3 observations is 5, then what is the combined mean ?

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  5. Question 5

    This type asked 4 times: CDS 2 2016, CDS 2 2022, CDS 1 2023, CDS 1 2025. This one: CDS 1 2025 See all 4 of this type

    100
    The arithmetic mean of 100 observations was 50. Later on, it was found that two observations were misread as 82 and 6 instead of 182 and 56. What is the value of the corrected mean ?

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  6. Question 6

    This type asked 4 times: CDS 2 2016, CDS 1 2017, CDS 2 2020, CDS 2 2024. This one: CDS 2 2024 See all 4 of this type

    21
    The arithmetic mean of nn numbers is MM. If the sum of first (n−1)(n - 1) terms is kk, then what is the nnth number ?

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  7. Question 7

    Asked 2 times: CDS 2 2016*, CDS 1 2020 (* = numbers or wording changed that year) See all 2 times it was asked

    34
    In a class room the ratio of number of girls to that of boys is 3:43 : 4. 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 ?

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  8. Question 8

    This type asked 2 times: CDS 1 2017, CDS 2 2024. This one: CDS 2 2024 See all 2 of this type

    23
    A person purchases one kg of tea powder from each of the four places A,B,C,DA, B, C, D at the rate of Rs. 1000 per 1 kg, 2 kg, 4 kg, 5 kg. If on an average he purchased xx kg of tea powder per Rs. 1000, then what is the approximate value of xx ?

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  9. Question 9

    Asked once: CDS 2 2022 (same type asked 7 times) See all 7 of this type

    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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  10. Question 10

    Asked once: CDS 2 2022 (same type asked 6 times) See all 6 of this type

    66
    If M is the mean of the first 100 even natural numbers, then what is the mean of the first 100 odd natural numbers ?

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