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Day 62: CDS Maths

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

  1. Question 1

    Mensuration 2D. This type asked 2 times: CDS 1 2024, CDS 2 2026. This one: CDS 2 2026 See all 2 of this type

    75
    A square of maximum area is inscribed in an equilateral triangle. If the side of the triangle is equal to (6+43)(6 + 4\sqrt{3}) cm, then what is the area of the square ?

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  2. Question 2

    Mensuration 3D. This type asked 2 times: CDS 1 2021, CDS 2 2026. This one: CDS 2 2026 See all 2 of this type

    71
    How many square metres of canvas (approximately) will be required to make a conical tent 3 m high so that a man 2 m tall may stand anywhere within a radius of 1 m from its centre without stooping ?

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  3. Question 3

    Mensuration 3D. This type asked 2 times: CDS 1 2023, CDS 2 2026. This one: CDS 2 2026 See all 2 of this type

    77
    A spherical metal ball is molten and made into n smaller identical spheres. In this process, the surface area of the smaller balls increases by 900%. What is the value of n ?

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  4. Question 4

    Number System. This type asked 2 times: CDS 1 2019, CDS 2 2026. This one: CDS 2 2026 See all 2 of this type

    17
    The product of two numbers is 1050. The quotient when the larger number is divided by the smaller number is 4 and the remainder is 10. What is the sum of the two numbers ?

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  5. Question 5

    Percentage, Profit and Loss. This type asked 2 times: CDS 2 2020, CDS 2 2026. This one: CDS 2 2026 See all 2 of this type

    21
    A shopkeeper sold his goods at the cost price. By using false weights, he gained 1119%11\frac{1}{9}\%. What weight did he use for 1 kg ?

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