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Day 39: SSC CGL Tier II Quant

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

  1. Question 1

    Mensuration 3D. Asked once: 3 Feb 2022 Tier II (same type asked 3 times) See all 3 of this type

    91
    The curved surface area of a right circular cone is 2310 cm2\text{cm}^2 and its radius is 21 cm. If its radius is increased by 100% and height is reduced by 50%, then its capacity (in litres) will be (correct to one decimal place): (Take π=227\pi = \frac{22}{7})

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  2. Question 2

    Mensuration 3D. Asked once: 3 Feb 2022 Tier II (same type asked 3 times) See all 3 of this type

    52
    The total surface area of a solid hemisphere is 942 cm2\text{cm}^2. Its volume (in cm3\text{cm}^3) is closest to: (Take π=3.14\pi = 3.14)

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: 3 Feb 2022 Tier II (same type asked 3 times) See all 3 of this type

    71
    If sin⁡2θcos⁡2θ−3cos⁡θ+2=1\frac{\sin^2\theta}{\cos^2\theta - 3\cos\theta + 2} = 1, θ\theta lies in the first quadrant, then the value of tan⁡2θ2+sin⁡2θ2tan⁡θ+sin⁡θ\frac{\tan^2\frac{\theta}{2} + \sin^2\frac{\theta}{2}}{\tan\theta + \sin\theta} is:

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  4. Question 4

    Algebraic Identities and Simplification. Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    61
    If a+b+c=1a + b + c = 1, ab+bc+ca=−22ab + bc + ca = -22 and abc=−40abc = -40, then what is the value of a3+b3+c3a^3 + b^3 + c^3?

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  5. Question 5

    Averages. Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    25
    The numbers of students in section A and section B of a class are 50 and 62, respectively. The average score in mathematics of all the students is 75. If the average score of students in section A is 20% more than that of students in section B, then what is the average score of students in section A (correct to one decimal place)?

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