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Day 336: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 2 2016

    60
    What is the volume of a sphere of radius 3 cm ?

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  2. Question 2

    Number System. Asked once: CDS 2 2019

    4
    Consider the multiplication 999×abc=def132999 \times abc = def132 in decimal notation, where a, b, c, d, e and f are digits. What are the values of a, b, c, d, e and f respectively ?

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  3. Question 3

    Triangles. Asked once: CDS 2 2018

    89
    If ABC is a right-angled triangle with AC as its hypotenuse, then which one of the following is correct ?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 1 2018

    57
    Consider the following statements : 1. (sec⁡2θ−1)(1−cosec2θ)=1(\sec^2 \theta - 1)(1 - \mathrm{cosec}^2 \theta) = 1 2. sin⁡θ(1+cos⁡θ)−1+(1+cos⁡θ)(sin⁡θ)−1=2 cosec θ\sin \theta (1 + \cos \theta)^{-1} + (1 + \cos \theta)(\sin \theta)^{-1} = 2\,\mathrm{cosec}\,\theta Which of the above is/are correct ?

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: CDS 2 2016

    31
    If 2p+3q=122p + 3q = 12 and 4p2+4pq−3q2=1264p^2 + 4pq - 3q^2 = 126, then what is the value of p+2qp + 2q ?

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