PYQ Vault

Day 325: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked once: CDS 2 2020

    83
    A triangle and a parallelogram have equal areas and equal bases. If the altitude of the triangle is k times the altitude of the parallelogram, then what is the value of k ?

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  2. Question 2

    Mensuration 3D. Asked once: CDS 1 2018

    87
    If the ratio of the circumference of the base of a right circular cone of radius r to its height is 3 : 1, then what is the area of the curved surface of the cone ?

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  3. Question 3

    Number System. Asked once: CDS 2 2020

    1
    x3+x2+16x^3 + x^2 + 16 is exactly divisible by xx, where xx is a positive integer. The number of all such possible values of xx is

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  4. Question 4

    Triangles. Asked once: CDS 1 2020

    83
    What is the maximum number of circum-circles that a triangle can have ?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 2 2020

    52
    Consider the following statements : 1. The equation 2sin⁡2θ−cos⁡θ+4=02\sin^2\theta - \cos\theta + 4 = 0 is possible for all θ\theta. 2. tan⁡θ+cot⁡θ\tan\theta + \cot\theta cannot be less than 2, where 0<θ<π20 < \theta < \dfrac{\pi}{2}. Which of the above statements is/are correct ?

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