PYQ Vault

Day 326: CDS Maths

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: CDS 2 2019

    29
    The inequality 3N>N33^N > N^3 holds when

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  2. Question 2

    Mensuration 2D. Asked once: CDS 1 2020

    67
    If the angles of a triangle are 30∘30^\circ and 45∘45^\circ and the included side is (3+1)(\sqrt{3} + 1) cm, then what is the area of the triangle ?

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  3. Question 3

    Mensuration 3D. Asked once: CDS 1 2018

    68
    If the ratio of the radius of the base of a right circular cone to its slant height is 1 : 3, what is the ratio of the total surface area to the curved surface area ?

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  4. Question 4

    Number System. Asked once: CDS 2 2020

    45
    If radius of a sphere is rational, then which of the following is/are correct ? 1. Its surface area is rational. 2. Its volume is rational. Select the correct answer using the code given below :

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  5. Question 5

    Triangles. Asked once: CDS 1 2020

    82
    The lengths of sides of a triangle are 3x,4y,5z33x, 4\sqrt{y}, 5\sqrt[3]{z}, where 3x<4y<5z33x < 4\sqrt{y} < 5\sqrt[3]{z}. If one of the angles is 90∘90^\circ, then what are the minimum integral values of x,y,zx, y, z respectively ?

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