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Day 10: SSC CGL Tier II Quant

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

  1. Question 1

    Mensuration 3D. 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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  2. Question 2

    Ratio, Proportion and Variation. This type asked 3 times: 29 Jan 2022 Tier II, 2 Mar 2023 Tier II, 6 Mar 2023 Tier II. This one: 6 Mar 2023 Tier II See all 3 of this type

    7
    A, B and C invested capital in the ratio of 3 : 4 : 8. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. What is the ratio of their invested time?

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  3. Question 3

    Mensuration 3D. 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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  4. Question 4

    Algebraic Identities and Simplification. This type asked 3 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 8 Aug 2022 Tier II. This one: 8 Aug 2022 Tier II See all 3 of this type

    38
    If a + b = 6 and ab = 5, then what is the value of a3+b3a^3 + b^3?

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  5. Question 5

    Mensuration 3D. 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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