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Day 4: CDS Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Ratio, Proportion and Variation. This type asked 7 times: CDS 1 2020, CDS 2 2020, CDS 1 2021, CDS 2 2022, CDS 2 2023, CDS 1 2024, CDS 1 2026. This one: CDS 1 2026 See all 7 of this type

    13
    If x varies directly as y, then which of the following is/are correct ? I. (x2+y2)(x^2 + y^2) varies directly as y2y^2. II. (x3y4)\left(\frac{x^3}{y^4}\right) varies directly as y. Select the answer using the code given below :

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  2. Question 2

    Number System. This type asked 7 times: CDS 2 2016, CDS 2 2019, CDS 1 2021, CDS 1 2022, CDS 1 2023, CDS 2 2024, CDS 2 2025. This one: CDS 2 2025 See all 7 of this type

    11
    What is the remainder when (1725+1925)(17^{25}+19^{25}) is divided by 18?

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  3. Question 3

    Statistics. This type asked 7 times: CDS 2 2016, CDS 2 2017, CDS 1 2020, CDS 2 2020, CDS 1 2021, CDS 2 2022, CDS 2 2023. This one: CDS 2 2023 See all 7 of this type

    10
    If the median of observations 12, 1, 8, 54, 61, 28, 45, 35, 21, 17 is M, then what is the value of 2M+52M + 5 ?

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  4. Question 4

    Number System. This type asked 6 times: CDS 1 2018, CDS 2 2018, CDS 1 2020, CDS 1 2022, CDS 1 2023, CDS 2 2026. This one: CDS 2 2026 See all 6 of this type

    1
    Two positive integers x and y are in the ratio 17 : 19. If the LCM of the two numbers is 1615, then what is x+yx + y equal to ?

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  5. Question 5

    Quadratic Equations. This type asked 6 times: CDS 1 2017, CDS 2 2021, CDS 2 2022, CDS 1 2023, CDS 2 2024, CDS 2 2026. This one: CDS 2 2026 See all 6 of this type

    16
    If α\alpha and β\beta are the roots of the equation 2x2−2(n+1)x+(n2+n+1)=02x^2 - 2(n + 1)x + (n^2 + n + 1) = 0, then what is (2α3+2β3)(2\alpha^3 + 2\beta^3) equal to ?

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