PYQ Vault

Day 236: CDS Maths

5 questions (9 parts). Try each one first, then open its answer.

  1. Question 1

    Sets. Asked once: CDS 2 2026

    33
    Consider the following statements : I. If A is a subset of U and U is the Universal set, then the complement of the set A is also a subset of U. II. The complement of a Universal set is a singleton set. Which of the statements given above is/are correct ?

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  2. Question 2

    Simple and Compound Interest. Asked once: CDS 1 2024

    44
    A sum of money invested at simple interest triples itself in 8 years and becomes n times in 20 years. What is the value of n ?

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  3. Question 3 (case study, 5 parts)

    Statistics. Asked once: CDS 1 2025

    Consider the following for the next five (05) items that follow : The frequency distribution of 205 observations on X is given below :
    X3567
    Frequencyff + 2f - 3f + 6
    86
    What is the value of f ?

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    87
    What is the median of the frequency distribution ?

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    88
    What is the mode of the frequency distribution ?

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    89
    What is the most appropriate graphical representation of the given frequency distribution of X ?

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    90
    What is the mean of the frequency distribution ?

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  4. Question 4

    Surds, Indices and Simplification. Asked once: CDS 1 2026

    1
    If p+q+r=0p + q + r = 0, then what is zp2qr×zq2rp×zr2pqz^{\frac{p^2}{qr}} \times z^{\frac{q^2}{rp}} \times z^{\frac{r^2}{pq}} equal to ?

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  5. Question 5

    Time and Work. Asked once: CDS 1 2023

    36
    A, B and C can complete a work in xx, 1.5x1.5x and 2x2x days respectively. If they complete the work together, in what ratio should they be paid ?

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