PYQ Vault

Day 112: CDS Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Ratio, Proportion and Variation. Asked once: CDS 2 2024 (same type asked 3 times) See all 3 of this type

    86
    There are two containers AA and BB. In container AA, the ratio of milk and water is 1:31 : 3 and in container BB, the ratio of milk and water is m:nm : n. If the mixture in the containers AA and BB are mixed in the ratio 2:32 : 3 to get 20 litres of a mixture having milk and water in the ratio 3:73 : 7, then what is the value of mn\frac{m}{n} ?

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  2. Question 2

    Statistics. Asked once: CDS 1 2026 (same type asked 3 times) See all 3 of this type

    38
    The arithmetic mean of 100 observations is 50. If 10 is added to each observation then what will be the new arithmetic mean ?

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  3. Question 3

    Statistics. Asked once: CDS 2 2022 (same type asked 3 times) See all 3 of this type

    65
    The data of different natural numbers 4, 7, 10, 14, 2x+3, 2x+5, 22, 23, 30, 504,\ 7,\ 10,\ 14,\ 2x + 3,\ 2x + 5,\ 22,\ 23,\ 30,\ 50 are in ascending order. How many possible values are there for the median of the data for various values of xx ?

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  4. Question 4 (case study, 2 parts)

    Statistics. Asked once: CDS 2 2024 (same type asked 3 times) See all 3 of this type

    A frequency distribution is as follows :
    Marks18-2627-3536-4445-5354-6263-7172-80
    Number of students571015832
    54
    What is the median of the distribution ?

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    55
    What is the mode of the distribution ?

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  5. Question 5

    Statistics. Asked once: CDS 2 2025 (same type asked 3 times) See all 3 of this type

    93
    The frequency distribution of marks of 100 candidates in a particular examination is as follows :
    MarksNumber of Candidates
    More than 10100
    More than 2075
    More than 3060
    More than 4040
    What are the average marks of the candidates?

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