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Day 108: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 1 2022 (same type asked 4 times) See all 4 of this type

    66
    A spherical ball of lead 6 cm in diameter is melted and recast into three spherical balls. The diameters of the balls are 2 cm, 4 cm and xx cm. Which one of the following is correct?

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  2. Question 2

    Triangles. Asked once: CDS 1 2019 (same type asked 4 times) See all 4 of this type

    44
    Suppose PP, QQ and RR are the mid-points of sides of a triangle of area 128 cm2^2. If a triangle ABCABC is drawn by joining the mid-points of sides of triangle PQRPQR, then what is the area of triangle ABCABC ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 2 2022 (same type asked 4 times) See all 4 of this type

    58
    What is 2sin⁡6θ+2cos⁡6θ−3sin⁡4θ−3cos⁡4θ2\sin^6\theta + 2\cos^6\theta - 3\sin^4\theta - 3\cos^4\theta equal to ?

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  4. Question 4

    Mensuration 3D. Asked once: CDS 1 2022 (same type asked 4 times) See all 4 of this type

    69
    A rectangular sheet is of length xx and breadth yy. If pp is the volume of the cylinder formed by rolling the sheet along its breadth and qq is the volume of the cylinder formed by rolling the sheet along its length, and q=2pq = 2p, then which one of the following is correct?

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  5. Question 5

    Mensuration 3D. Asked once: CDS 2 2020 (same type asked 4 times) See all 4 of this type

    73
    The surface areas of two spheres are in the ratio 1:41 : 4. What is the ratio of their volumes ?

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