PYQ Vault

Day 68: SSC CGL Tier II Quant

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

  1. Question 1

    Time, Speed and Distance. Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    57
    A student goes to school at a speed of 5125\frac{1}{2} km/h and returns at a speed of 4 km/h. If he takes 4344\frac{3}{4} hours for the entire journey, then the total distance covered by the student (in km) is:

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  2. Question 2

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

    98
    The height of a cylinder is 45 cm. If circumference of its base is 132 cm, then what is the curved surface of this cylinder? ( use π=22/7\pi = 22/7)

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  3. Question 3

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

    69
    The volume of a solid hemisphere is 19,404 cm3\text{cm}^3. Its total surface area (in cm2\text{cm}^2) is: (Take π=227\pi = \frac{22}{7})

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  4. Question 4

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

    6
    If 3tan⁡θ=23sin⁡θ3\tan\theta = 2\sqrt{3}\sin\theta, 0∘<θ<90∘0^\circ < \theta < 90^\circ, then the value of cosec22θ+cot⁡22θsin⁡2θ+tan⁡22θ\frac{\text{cosec}^2 2\theta + \cot^2 2\theta}{\sin^2\theta + \tan^2 2\theta} is:

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  5. Question 5

    Percentage, Profit and Loss. Asked once: 15 Nov 2020 Tier II (same type asked 3 times) See all 3 of this type

    3
    Rishu saves *x*% of her income. If her income increases by 26% and the expenditure increases by 20%, then her savings increase by 50%. What is the value of x?

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