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Day 170: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 1 2020 (same type asked 4 times) See all 4 of this type

    64
    What is the value of 1−2sin⁡2θcos⁡2θsin⁡4θ+cos⁡4θ+4\frac{1 - 2\sin^2\theta\cos^2\theta}{\sin^4\theta + \cos^4\theta} + 4 equal to ?

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  2. Question 2

    Mensuration 3D. Asked once: CDS 1 2021 (same type asked 4 times) See all 4 of this type

    69
    A rectangular paper is 44 cm long and 22 cm wide. Let xx be the volume of the largest cylinder formed by rolling the paper along its length and yy be the volume of the largest cylinder formed by rolling the paper along its width. What is the ratio of xx to yy? (Take π=227\pi = \frac{22}{7})

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  3. Question 3

    Mensuration 3D. Asked once: CDS 2 2019 (same type asked 4 times) See all 4 of this type

    73
    The volume of a spherical balloon is increased by 700%. What is the percentage increase in its surface area ?

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  4. Question 4

    Surds, Indices and Simplification. Asked once: CDS 2 2019 (same type asked 4 times) See all 4 of this type

    41
    What is the value of 2+2+2+………2 + \sqrt{2 + \sqrt{2 + \sqrt{\ldots\ldots\ldots}}} ?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 1 2018 (same type asked 4 times) See all 4 of this type

    24
    If A:B=1:2A : B = 1 : 2, B:C=3:4B : C = 3 : 4, C:D=2:3C : D = 2 : 3 and D:E=3:4D : E = 3 : 4, then what is B:EB : E equal to?

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