PYQ Vault

Day 19: CDS Maths

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

  1. Question 1

    Mensuration 2D. This type asked 4 times: CDS 1 2018, CDS 1 2019, CDS 1 2020, CDS 2 2025. This one: CDS 2 2025 See all 4 of this type

    80
    Let the area of the largest possible square inscribed in a circle of unit radius be xx. Let the area of the largest possible circle inscribed in a square of unit side length be yy. What is the relation between xx and yy?

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  2. Question 2

    Mensuration 3D. This type asked 4 times: CDS 2 2017, CDS 2 2024, CDS 1 2025, CDS 2 2025. This one: CDS 2 2025 See all 4 of this type

    77
    A conical tent has an angle of 60∘60^\circ at the vertex. If the curved surface area is 100100 m2^2, then what is the volume of the tent?

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  3. Question 3

    Percentage, Profit and Loss. This type asked 4 times: CDS 2 2016, CDS 1 2022, CDS 1 2024, CDS 2 2025. This one: CDS 2 2025 See all 4 of this type

    60
    A shopkeeper gives three consecutive discounts 10%10\%, 20%20\% and 25%25\% after which he sells the article at a profit of 8%8\% on the cost price. Had he sold the article after the first discount, how much profit would he have got?

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  4. Question 4

    Polynomials. This type asked 4 times: CDS 1 2017, CDS 1 2019, CDS 2 2023, CDS 2 2025. This one: CDS 2 2025 See all 4 of this type

    18
    What is the LCM of x4+x2y2+y4x^4+x^2y^2+y^4, x3y+y4x^3y+y^4 and x4y2−x3y3x^4y^2-x^3y^3?

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  5. Question 5

    Ratio, Proportion and Variation. This type asked 4 times: CDS 1 2017, CDS 2 2022, CDS 2 2023, CDS 2 2025. This one: CDS 2 2025 See all 4 of this type

    55
    XX and YY are two alloys of copper (Cu) and zinc (Zn). Alloy XX is prepared by mixing Cu and Zn in the ratio 5:45 : 4, and alloy YY is prepared by mixing Cu and Zn in the ratio 5:135 : 13 respectively. If equal quantities of alloys XX and YY are melted to form a third alloy ZZ, then what is the ratio of Cu to Zn in ZZ ?

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