PYQ Vault

Mensuration 3D

SSC CGL Tier II Quant. Try each one first, then open its answer.

Top 10 SSC CGL Tier II PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 4 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 4 of this type

    25
    The base of a right prism is an isosceles trapezium with parallel sides measuring 10 cm and 20 cm, and non-parallel sides measuring 13 cm each. The volume of the prism is 3240 cm33240\ \text{cm}^3. What is the total surface area of the prism?

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  2. Question 2

    This type asked 4 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 8 Aug 2022 Tier II, 6 Mar 2023 Tier II. This one: 6 Mar 2023 Tier II See all 4 of this type

    5
    If the curved surface area of a cylinder is 126π126\pi cm2\text{cm}^2 and its height is 14 cm, what is the volume of the cylinder?

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  3. Question 3

    This type asked 3 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 26 Oct 2023 Tier II. This one: 26 Oct 2023 Tier II See all 3 of this type

    8
    The ratio of the length, width and height of a closed cuboid is given as 6 : 3 : 2. The total surface area of this cuboid is given as 1800 cm2\text{cm}^2. Find the volume (in cm3\text{cm}^3) of this cuboid.

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  4. Question 4

    This type asked 3 times: 8 Aug 2022 Tier II, 3 Mar 2023 Tier II, 26 Oct 2023 Tier II. This one: 26 Oct 2023 Tier II See all 3 of this type

    17
    A solid cube, whose each edge is of length 48 cm, is melted. Identical solid cubes, each of volume 64 cm3\text{cm}^3, are made out of this molten cube, without any wastage. How many such small cubes are obtained?

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  5. Question 5

    This type asked 3 times: 3 Feb 2022 Tier II, 8 Aug 2022 Tier II, 7 Mar 2023 Tier II. This one: 7 Mar 2023 Tier II See all 3 of this type

    10
    What is the volume of a cylinder if the radius of the cylinder is 10 cm and height is 20 cm? (Take π=3.14\pi = 3.14)

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  6. Question 6

    This type asked 3 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 6 Mar 2023 Tier II. This one: 6 Mar 2023 Tier II See all 3 of this type

    1
    A pyramid has an equilateral triangle as its base, of which each side is 8 cm. Its slant edge is 24 cm. The whole surface area of the pyramid (in cm2\text{cm}^2) is:

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  7. Question 7

    This type asked 3 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 2 Mar 2023 Tier II. This one: 2 Mar 2023 Tier II See all 3 of this type

    15
    If radius of a sphere is decreased by 48%, then by what percent does its surface area decrease?

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  8. Question 8

    This type asked 3 times: 15 Nov 2020 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II. This one: 8 Aug 2022 Tier II See all 3 of this type

    29
    Radius of a large solid sphere is 14 cm. If is melted to form 8 equal small solid sphere. What is the sum of total surface areas of all the 8 small solid spheres? (use π=22/7\pi = 22/7)

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  9. Question 9

    This type asked 3 times: 15 Nov 2020 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II. This one: 8 Aug 2022 Tier II See all 3 of this type

    79
    Volume of a cone whose radius of a base and height are r and h respectively, is 400 cm3400\ \text{cm}^3. What will be the volume of a cone whose radius of base and height are 2r cm and h cm respectively?

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  10. Question 10

    This type asked 3 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II. This one: 8 Aug 2022 Tier II See all 3 of this type

    90
    The curved surface area of a solid hemisphere is 22 cm222\ \text{cm}^2. What is the total surface area of the hemisphere? (use π=22/7\pi = 22/7)

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