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Day 278: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: 24 Jul 2023 S3 (same type asked 7 times) See all 7 of this type

    57
    The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the product of the two given numbers?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 27 Jul 2023 S1 (same type asked 6 times) See all 6 of this type

    64
    Given θ1+θ2=π2\theta_1 + \theta_2 = \frac{\pi}{2} and sin⁡θ1=12\sin \theta_1 = \frac{1}{2}, find the value of θ2\theta_2.

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  3. Question 3

    Mensuration 3D. Asked once: 18 Sep 2025 S2 (same type asked 6 times) See all 6 of this type

    63
    A cone is sliced into two sections by a plane that is parallel to its base, with the upper section representing 18\frac{1}{8} of the overall volume. What is the ratio of the heights of the smaller cone to the original cone?

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  4. Question 4

    Time, Speed and Distance. Asked once: 21 Jul 2023 S1 (same type asked 6 times) See all 6 of this type

    72
    Raghav covers a distance of 3300 m in 45 minutes. What is his speed (in km/h)?

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  5. Question 5

    Circles. Asked once: 10 Sep 2024 S3 (same type asked 6 times) See all 6 of this type

    75
    If the length of a common external tangent to two circles is 9 and that of a common internal tangent is 5, then the product of the radii of the two circles is:

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