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Day 29: CDS Maths

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

  1. Question 1

    Sets. Asked 3 times: CDS 2 2017*, CDS 2 2018*, CDS 2 2019 (* = numbers or wording changed that year) See all 3 times it was asked

    42
    In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what percent passed in both the subjects ?

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  2. Question 2

    Algebraic Identities and Simplification. This type asked 3 times: CDS 1 2018, CDS 1 2021, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    35
    If x+y+z=0x + y + z = 0, then what is x(y+z)2+y(z+x)2+z(x+y)2x(y + z)^2 + y(z + x)^2 + z(x + y)^2 equal to ?

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  3. Question 3

    Mensuration 2D. This type asked 3 times: CDS 2 2019, CDS 2 2023, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    59
    A square of side length 4 cm has its corners cut away in such a manner so as to form a regular octagon. What is the length of the side of the octagon ? (Take 2\sqrt{2} = 1.41)

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  4. Question 4

    Mensuration 3D. This type asked 3 times: CDS 1 2019, CDS 2 2021, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    79
    N number of cubes each of side length equal to 10 cm are joined end to end in a row. If the total surface area of the resulting cuboid is 3800 cm2\text{cm}^2, then what is the value of N ?

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  5. Question 5

    Mensuration 3D. This type asked 3 times: CDS 2 2020, CDS 1 2022, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    60
    A tall cylindrical reservoir kept vertically is 20 m in diameter. Water is poured into it at the rate of 264 m3\text{m}^3 per hour. What is the rate at which the water level rises in the reservoir per minute ? (Take π=227\pi = \frac{22}{7})

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