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Day 260: SSC CGL Quant

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

  1. Question 1

    Heights and Distances. Asked once: 18 Sep 2025 S2 (same type asked 5 times) See all 5 of this type

    59
    A rock climber uses a rope to ascend a cliff. If the vertical height of the cliff is 35 meters and the rope makes an angle of 30∘30^\circ with the level ground, what is the minimum length of the rope required to reach the top?

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  2. Question 2

    Mensuration 3D. Asked once: 16 Sep 2025 S2 (same type asked 5 times) See all 5 of this type

    69
    A tent designed as a triangular prism features a triangular base with an area of 20 m2\text{m}^2 and a height of 6 m. What is the volume of this tent?

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  3. Question 3

    Mensuration 3D. Asked once: 18 Sep 2025 S3 (same type asked 5 times) See all 5 of this type

    65
    A cylindrical storage container has a base radius of 3 cm. It is designed with sections whose heights form an arithmetic progression, starting from 2 cm for the bottom section and reaching 10 cm for the topmost section, covering a total of 5 sections. What is the total volume of the container? (Use π≈3.14\pi \approx 3.14)

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  4. Question 4

    Percentage, Profit and Loss. Asked once: 18 Jul 2023 S4 (same type asked 5 times) See all 5 of this type

    56
    A shopkeeper purchases six small cold drink bottles for ₹100. For how much should he sell one such bottle to get a profit of 20%20\%?

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  5. Question 5

    Circles. Asked once: 24 Jul 2023 S1 (same type asked 5 times) See all 5 of this type

    75
    DE is a chord and KDE is a secant of a circle. If KD = 9 cm, DE = 7 cm and KH is a tangent to the circle at point H, then find KH.

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