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Day 33: SSC CGL Quant

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

  1. Question 1

    Heights and Distances. This type asked 5 times: 17 Sep 2025 S3, 18 Sep 2025 S2, 19 Sep 2025 S2, 19 Sep 2025 S3, 23 Sep 2025 S2. This one: 23 Sep 2025 S2 See all 5 of this type

    55
    A kite is soaring at an altitude of 75 meters above the ground, with its string temporarily secured to a point on the ground. The angle of elevation of the string relative to the ground is 30 degrees. Given that the string remains taut, what is the length of the string?

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  2. Question 2

    Time, Speed and Distance. This type asked 5 times: 24 Jul 2023 S2, 27 Jul 2023 S1, 13 Sep 2025 S2, 15 Sep 2025 S3, 23 Sep 2025 S2. This one: 23 Sep 2025 S2 See all 5 of this type

    54
    A man reduces his speed from 20 kmph to 18 kmph. So, he takes 8 minutes more than the normal time. What is the distance traveled by him?

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  3. Question 3

    Mensuration 3D. This type asked 5 times: 13 Sep 2025 S3, 16 Sep 2025 S2, 21 Sep 2025 S1, 21 Sep 2025 S3, 23 Sep 2025 S1. This one: 23 Sep 2025 S1 See all 5 of this type

    63
    A triangular prism has a base with area 45 cm2\text{cm}^2 and height 14 cm. If 10%10\% of the prism is hollowed out for wiring, what is the volume of the solid part?

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  4. Question 4

    Mensuration 3D. This type asked 5 times: 18 Sep 2025 S1, 18 Sep 2025 S3, 19 Sep 2025 S2, 20 Sep 2025 S1, 22 Sep 2025 S3. This one: 22 Sep 2025 S3 See all 5 of this type

    65
    The base of a prism is a rectangle whose length is twice its width. The perimeter of the base is 3030 cm. The prism's height decreases in an arithmetic progression from 1515 cm in the first layer to 99 cm in the fourth layer. What is the total volume of the prism?

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  5. Question 5

    Surds, Indices and Simplification. This type asked 5 times: 17 Sep 2025 S1, 19 Sep 2025 S1, 21 Sep 2025 S2, 21 Sep 2025 S3, 22 Sep 2025 S3. This one: 22 Sep 2025 S3 See all 5 of this type

    72
    Simplify: 5+26+5−262\frac{\sqrt{5 + 2\sqrt{6}} + \sqrt{5 - 2\sqrt{6}}}{\sqrt{2}}

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