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Day 323: CDS Maths

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

  1. Question 1

    Triangles. Asked once: CDS 2 2020

    82
    The sum of the squares of sides of a right-angled triangle is 8,450 square units. What is the length of its hypotenuse ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 2 2021

    53
    Consider the following : 1. sin⁡4θ−sin⁡2θ=cos⁡4θ−cos⁡2θ\sin^4\theta-\sin^2\theta=\cos^4\theta-\cos^2\theta 2. sin⁡4θ+cos⁡4θ=1+2sin⁡2θcos⁡2θ\sin^4\theta+\cos^4\theta=1+2\sin^2\theta\cos^2\theta 3. tan⁡4θ+tan⁡2θ=sec⁡4θ−sec⁡2θ\tan^4\theta+\tan^2\theta=\sec^4\theta-\sec^2\theta Which of the above are identities ?

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: CDS 2 2021

    22
    If A+B=x2−8x+2A+B=\dfrac{x^2-8}{x+2} and A−B=−x2+2x+4x+2A-B=\dfrac{-x^2+2x+4}{x+2}, then what is BB equal to ?

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  4. Question 4

    Mensuration 2D. Asked once: CDS 1 2021

    75
    If the perimeter of a semicircular park is 360 m, then what is its area? (Take π=227\pi = \frac{22}{7})

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  5. Question 5

    Mensuration 3D. Asked once: CDS 2 2018

    80
    A rectangular block of length 20 cm, breadth 15 cm and height 10 cm is cut up into exact number of equal cubes. The least possible number of cubes will be

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