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Day 18: SSC CGL Tier II Quant

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

  1. Question 1

    Mensuration 3D. This type asked 2 times: 15 Nov 2020 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 2 of this type

    21
    A toy is in the form of a cone mounted on a hemisphere. The radius of the hemisphere and that of the cone is 36 cm and height of the cone is 105 cm. The total surface area (in cm2\text{cm}^2) of the toy is:

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  2. Question 2

    Statistics. This type asked 2 times: 6 Mar 2023 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 2 of this type

    12
    Using empirical formula, calculate the mode for the following data. 17, 20, 21, 18, 25, 28, 24, 22, 16, 24, 25, 24

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  3. Question 3

    Time, Speed and Distance. This type asked 2 times: 8 Aug 2022 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 2 of this type

    23
    On a 2200 m long circular track, Sarita and Kavita drove their cycles from the same point but in opposite direction with the speeds 20 km/hr and 16 km/hr, respectively. After how much time will they meet again for the first time?

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  4. Question 4

    Trigonometric Ratios and Identities. This type asked 2 times: 3 Feb 2022 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 2 of this type

    19
    If sec⁡θ−tan⁡θsec⁡θ+tan⁡θ=19\frac{\sec\theta - \tan\theta}{\sec\theta + \tan\theta} = \frac{1}{9}, θ\theta lies in the first quadrant, then the value of sin⁡θ−tan⁡2θsin⁡θ+tan⁡2θ\frac{\sin\theta - \tan^2\theta}{\sin\theta + \tan^2\theta} is:

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  5. Question 5

    Heights and Distances. This type asked 2 times: 3 Feb 2022 Tier II, 26 Oct 2023 Tier II. This one: 26 Oct 2023 Tier II See all 2 of this type

    19
    Two pillars of equal height stand on either side of a roadway which is 150 m wide. At a point in the road between pillars, the elevations of the pillars are x∘x^\circ and y∘y^\circ so that tan⁡x∘=25,tan⁡y∘=35\tan x^\circ = \frac{2}{5}, \tan y^\circ = \frac{3}{5}, then the height of each pillar is:

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