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Day 52: CDS Maths

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

  1. Question 1

    Time and Work. Asked 2 times: CDS 1 2020*, CDS 1 2023 (* = numbers or wording changed that year) See all 2 times it was asked

    34
    If 17 women and 24 men can do a piece of work in 5 days and 12 women and 23 men can do it in 6 days, then which one of the following is correct ?

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  2. Question 2

    Mensuration 3D. Asked 2 times: CDS 2 2016*, CDS 2 2022 (* = numbers or wording changed that year) See all 2 times it was asked

    81
    The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume is 127\frac{1}{27} of the volume of the given cone, then what is the height of the frustum of the cone ?

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  3. Question 3

    Mensuration 3D. Asked 2 times: CDS 1 2021*, CDS 2 2022 (* = numbers or wording changed that year) See all 2 times it was asked

    80
    The diameter of a sphere made of copper is 3 cm. The sphere is melted and recast into a wire. If the length of the wire is half metre, then what is the diameter of the wire ?

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  4. Question 4

    Quadrilaterals. Asked 2 times: CDS 2 2021*, CDS 2 2022 (* = numbers or wording changed that year) See all 2 times it was asked

    86
    The area of a rhombus is 96 square cm and one of its diagonals is of length 12 cm. What is the perimeter of the rhombus ?

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  5. Question 5

    Number System. Asked 2 times: CDS 1 2018*, CDS 1 2022 (* = numbers or wording changed that year) See all 2 times it was asked

    4
    461+462+463+4644^{61} + 4^{62} + 4^{63} + 4^{64} is divisible by

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