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Day 169: CDS Maths

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

  1. Question 1

    Quadratic Equations. Asked once: CDS 2 2021 (same type asked 4 times) See all 4 of this type

    11
    For which values of kk, does the equation x2−kx+2=0x^2-kx+2=0 have real and distinct solutions ?

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  2. Question 2

    Surds, Indices and Simplification. Asked once: CDS 1 2019 (same type asked 4 times) See all 4 of this type

    82
    If 3611=3+1x+1y+1z\frac{36}{11} = 3 + \cfrac{1}{x + \cfrac{1}{y + \cfrac{1}{z}}}, where xx, yy and zz are natural numbers, then what is (x+y+z)(x + y + z) equal to ?

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: CDS 2 2021 (same type asked 4 times) See all 4 of this type

    23
    What is x4(x2−y2)(x2−z2)+y4(y2−x2)(y2−z2)+z4(z2−x2)(z2−y2)\dfrac{x^4}{(x^2-y^2)(x^2-z^2)}+\dfrac{y^4}{(y^2-x^2)(y^2-z^2)}+\dfrac{z^4}{(z^2-x^2)(z^2-y^2)} equal to ?

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  4. Question 4

    Mensuration 3D. Asked once: CDS 1 2021 (same type asked 4 times) See all 4 of this type

    65
    A metal solid cube of edge 24 cm is melted and made into three small cubes. If the edges of two small cubes are 12 cm and 16 cm, then what is the surface area of the third small cube?

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  5. Question 5

    Triangles. Asked once: CDS 1 2017 (same type asked 4 times) See all 4 of this type

    76
    Let P, Q, R be the mid-points of sides AB, BC, CA respectively of a triangle ABC. If the area of the triangle ABC is 5 square units, then the area of the triangle PQR is

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