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Day 307: CDS Maths

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

  1. Question 1

    Quadrilaterals. Asked once: CDS 1 2017

    89
    ABCD is a rectangle. The diagonals AC and BD intersect at O. If AB = 32 cm and AD = 24 cm, then what is OD equal to ?

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  2. Question 2

    Surds, Indices and Simplification. Asked once: CDS 1 2018

    4
    If 2b=a+c2b = a + c and y2=xzy^2 = xz, then what is xb−cyc−aza−bx^{b-c} y^{c-a} z^{a-b} equal to?

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  3. Question 3

    Triangles. Asked once: CDS 1 2023

    70
    A triangle ABC has been divided into four smaller triangles P, Q, R, S whose perimeters are 16 cm, 12 cm, 4 cm and 12 cm respectively. P, R and S contain the vertices A, B and C respectively. What is the perimeter of the triangle ABC ?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 1 2023

    48
    If tan⁡8θ+cot⁡8θ=m\tan^8\theta + \cot^8\theta = m, then what is the value of tan⁡θ+cot⁡θ\tan\theta + \cot\theta ?

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: CDS 2 2022

    35
    If x=b+cx = b + c, y=c+ay = c + a, z=a+bz = a + b, then what is (x+y+z)3−24xyz(x + y + z)^3 - 24xyz equal to ?

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