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Day 11: 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: 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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  2. Question 2

    Mensuration 3D. 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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  3. Question 3

    Trigonometric Ratios and Identities. 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

    44
    If 3tan⁡θ=3sin⁡θ\sqrt{3}\tan\theta = 3\sin\theta , then what is the value of sin⁡2θ−cos⁡2θ\sin^2\theta - \cos^2\theta?

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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, 3 Feb 2022 Tier II. This one: 3 Feb 2022 Tier II See all 3 of this type

    23
    If x=32.5x = 32.5, y=34.6y = 34.6 and z=30.9z = 30.9, then the value of x3+y3+z3−3xyzx^3 + y^3 + z^3 - 3xyz is 0.98k0.98k, where k is equal to:

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  5. Question 5

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

    40
    The number of students in a class is 45, out of which 3313%33\frac{1}{3}\% are boys and the rest are girls. The average score of girls in Science is 6623%66\frac{2}{3}\% more than that of boys. If the average score of all the students is 78, then the average score of girls is:

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