PYQ Vault

Day 35: CDS Maths

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

  1. Question 1

    Algebraic Identities and Simplification. This type asked 3 times: CDS 1 2017, CDS 1 2022, CDS 2 2025. This one: CDS 2 2025 See all 3 of this type

    7
    If 1a+1b=56\frac{1}{a}+\frac{1}{b}=\frac{5}{6} and 1a2+1b2=1336\frac{1}{a^2}+\frac{1}{b^2}=\frac{13}{36}, then what is 1a3+1b3\frac{1}{a^3}+\frac{1}{b^3} equal to?

    Tap an option to check your answer.

  2. Question 2

    Circles. This type asked 3 times: CDS 1 2021, CDS 1 2025, CDS 2 2025. This one: CDS 2 2025 See all 3 of this type

    87
    A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : AB and CD are chords of a circle intersecting at P. If AP×PB=48AP \times PB = 48 square units, then what is CP×PDCP \times PD equal to? Statement-I : AP=8AP = 8 units Statement-II : CP=10CP = 10 units Which one of the following is correct in respect of the above Question and the Statements?

    Tap an option to check your answer.

  3. Question 3

    Mensuration 3D. This type asked 3 times: CDS 1 2018, CDS 1 2019, CDS 2 2025. This one: CDS 2 2025 See all 3 of this type

    62
    The sum of the height and the radius of a right circular cylinder is 21 cm, and the radius is less than the height. If the curved surface area of the cylinder is 616 cm2616\ \text{cm}^2, then what is the volume of the cylinder? (Take π=22/7\pi = 22/7)

    Tap an option to check your answer.

  4. Question 4

    Mensuration 3D. This type asked 3 times: CDS 1 2021, CDS 2 2024, CDS 2 2025. This one: CDS 2 2025 See all 3 of this type

    78
    A right circular cone and a hemisphere have equal base and equal volume. What is the ratio of the height of the cone to the radius of the hemisphere?

    Tap an option to check your answer.

  5. Question 5

    Quadratic Equations. This type asked 3 times: CDS 1 2023, CDS 2 2023, CDS 2 2025. This one: CDS 2 2025 See all 3 of this type

    25
    If (a−b2)x2−(a+b2)x+b=0\left(\frac{a-b}{2}\right)x^2-\left(\frac{a+b}{2}\right)x+b=0, then what are the roots of this equation?

    Tap an option to check your answer.