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Day 267: CDS Maths

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

  1. Question 1

    Triangles. Asked once: CDS 2 2025

    68
    Two poles are situated 24 m apart and their heights differ by 10 m. What is the distance between their tips?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 1 2025

    26
    What is sin⁡θ1−cot⁡θ+cos⁡θ1−tan⁡θ\dfrac{\sin \theta}{1 - \cot \theta} + \dfrac{\cos \theta}{1 - \tan \theta} (θ≠π/4)(\theta \ne \pi/4) equal to ?

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: CDS 2 2024

    78
    If (x+1yz)−(y+1zx)=(y+1zx)−(z+1xy)\left(x + \frac{1}{yz}\right) - \left(y + \frac{1}{zx}\right) = \left(y + \frac{1}{zx}\right) - \left(z + \frac{1}{xy}\right) and x+z≠2yx + z \ne 2y, then what is xyzxyz equal to ?

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  4. Question 4

    Averages. Asked once: CDS 2 2016

    86
    The average score of class XX is 83. The average score of class YY is 76. The average score of class ZZ is 85. The average score of class XX and YY is 79 and average score of class YY and ZZ is 81. What is the average score of XX, YY and ZZ ?

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  5. Question 5

    Circles. Asked once: CDS 1 2021

    84
    An equilateral triangle ABCABC and a scalene triangle DBCDBC are inscribed in a circle on same side of the arc. What is ∠BDC\angle BDC equal to?

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