PYQ Vault

Day 291: SSC CGL Quant

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

  1. Question 1

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

    59
    If A+B=90∘A + B = 90^\circ and sin⁡A=35\sin A = \frac{3}{5}, then the value of tanB is ________.

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  2. Question 2

    Mensuration 3D. Asked once: 18 Sep 2025 S1 (same type asked 6 times) See all 6 of this type

    63
    Creating a frustum, a right circular cone is sliced parallel to its base,. The height of the original cone is 30 cm, and the cut is made 10 cm from the vertex. What is the ratio of the volumes of the frustum to that of the entire cone?

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  3. Question 3

    Circles. Asked once: 25 Jul 2023 S1 (same type asked 6 times) See all 6 of this type

    73
    When two circles of radii r1r_1 and r2r_2 have their centres at a distance d apart, then length of the common transverse tangent is:

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  4. Question 4

    Mensuration 2D. Asked once: 12 Sep 2025 S3 (same type asked 6 times) See all 6 of this type

    72
    A circular disc's radius is decreased by 10%10\%. What is the percentage decrease in its area?

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  5. Question 5

    Circles. Asked once: 19 Jul 2023 S3 (same type asked 6 times) See all 6 of this type

    56
    What is the number of common tangents that can be drawn to two circles that touch each other externally?

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