PYQ Vault

Day 59: SSC CGL Tier II Quant

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

  1. Question 1

    Heights and Distances. Asked once: 3 Mar 2023 Tier II (same type asked 3 times) See all 3 of this type

    30
    From the top of an upright pole 17.75 m high, the angle of elevation of the top of an upright tower was 60∘60^\circ. If the tower was 57.75 m tall, how far away (in m) from the foot of the pole was the foot of the tower?

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  2. Question 2

    Mensuration 3D. Asked once: 15 Nov 2020 Tier II (same type asked 3 times) See all 3 of this type

    69
    The radius and height of a right circular cone are in the ratio 3:43 : 4. If its curved surface area (in cm2\text{cm}^2) is 240π240\pi, then its volume (in cm3\text{cm}^3) is:

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  3. Question 3

    Mensuration 3D. Asked once: 8 Aug 2022 Tier II (same type asked 3 times) See all 3 of this type

    95
    The radius of a solid sphere is 42 cm. It is melted to form identical small solid spheres whose radius is 7 cm. What is the number of small solid spheres obtained?

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  4. Question 4

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

    77
    If a 10-digit number 75462A97B6 is divisible by 72, then the value of 8A−4B\sqrt{8A - 4B} is:

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  5. Question 5

    Surds, Indices and Simplification. Asked once: 15 Nov 2020 Tier II (same type asked 3 times) See all 3 of this type

    37
    Let x=(18753888÷1200768)×1751792x = \left(\frac{\sqrt{1875}}{\sqrt{3888}} \div \frac{\sqrt{1200}}{\sqrt{768}}\right) \times \frac{\sqrt{175}}{\sqrt{1792}}. Then x\sqrt{x} is equal to:

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