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Day 44: SSC CGL Quant

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

  1. Question 1

    Triangles. This type asked 4 times: 23 Sep 2025 S2, 24 Sep 2025 S1, 24 Sep 2025 S3, 26 Sep 2025 S1. This one: 26 Sep 2025 S1 See all 4 of this type

    69
    A triangle with all its angles less than 90∘90^\circ has its Orthocenter located where?

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  2. Question 2

    Mensuration 3D. This type asked 4 times: 21 Jul 2023 S4, 24 Jul 2023 S4, 18 Sep 2025 S3, 24 Sep 2025 S2. This one: 24 Sep 2025 S2 See all 4 of this type

    54
    A spherical shell has an outer diameter of 20 cm and is 1 cm thick. What is the volume of the material in the shell? (Use π≈3.14\pi \approx 3.14).

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  3. Question 3

    Trigonometric Ratios and Identities. This type asked 4 times: 18 Jul 2023 S2, 20 Jul 2023 S4, 25 Jul 2023 S2, 24 Sep 2025 S2. This one: 24 Sep 2025 S2 See all 4 of this type

    68
    If 1+cot⁡2θ=cosec2θ1 + \cot^2\theta = \text{cosec}^2\theta, then what is the value of cosec260∘−cot⁡260∘\text{cosec}^2 60^\circ - \cot^2 60^\circ?

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  4. Question 4

    Averages. This type asked 4 times: 26 Jul 2023 S2, 12 Sep 2025 S2, 13 Sep 2025 S3, 23 Sep 2025 S3. This one: 23 Sep 2025 S3 See all 4 of this type

    65
    The average score of 25 students in a test is 68. The top 5 scorers had an average of 80, and the lowest 5 had an average of 50. What is the average of the remaining 15 students?

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  5. Question 5

    Averages. This type asked 4 times: 14 Sep 2025 S2, 21 Sep 2025 S2, 23 Sep 2025 S2, 23 Sep 2025 S3. This one: 23 Sep 2025 S3 See all 4 of this type

    63
    The average of 5 different numbers is 24. If the smallest number is 15, what is the average of the remaining four numbers?

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