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Circles

SSC CGL Tier II Quant. Try each one first, then open its answer.

Top 10 SSC CGL Tier II PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 2 times: 8 Aug 2022 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 2 of this type

    9
    If a chord of a circle subtends an angle of 60∘60^\circ at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?

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  2. Question 2

    Asked once: 8 Aug 2022 Tier II (same type asked 2 times) See all 2 of this type

    94
    AB is the chord of a circle such that AB = 10 cm. If the diameter of the circle is 20 cm, then the angle subtended by the chord at the centre is ______.

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  3. Question 3

    Asked once: 20 Jan 2025 Tier II

    1
    In a circle centered at O, a diameter AB is extended to a point C outside the circle. CD is a tangent at point D on the circle. If CD = 737\sqrt{3} cm and ∠DBC=120∘\angle DBC = 120^\circ, then the length of the diameter of the circle is equal to:

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  4. Question 4

    Asked once: 20 Jan 2025 Tier II

    5
    In a circle with centre O, an arc ABC subtends an angle of 134∘134^\circ at the centre of the circle. The chord AB is produced to a point P. ∠CBP\angle CBP is equal to:

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  5. Question 5

    Asked once: 18 Jan 2025 Tier II

    14
    △ABC\triangle ABC is inscribed in a circle with Centre O. If AB = 21 cm, BC = 20 cm and AC = 29 cm, then what is the length of the circumradius of the triangle?

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  6. Question 6

    Asked once: 26 Oct 2023 Tier II

    30
    One chord of a circle is given as 20.5 cm. Then the radius (r) of the circle must be:

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  7. Question 7

    Asked once: 3 Mar 2023 Tier II

    12
    ABCD is a cyclic quadrilateral and BC is a diameter of the related circle on which A and D also lie. ∠BCA=19∘\angle BCA = 19^\circ and ∠CAD=32∘\angle CAD = 32^\circ. What is the measure of ∠ACD\angle ACD?

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  8. Question 8

    Asked once: 2 Mar 2023 Tier II

    10
    A circle touches all four sides of a quadrilateral ABCD. If AB = 18 cm, BC = 21 cm and AD = 15 cm, then length CD is:

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  9. Question 9

    Asked once: 2 Mar 2023 Tier II

    5
    A,B, C are three points such that AB = 9 cm, BC = 11 cm and AC = 20 cm. The number of circles passing through points A,B,C is:

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  10. Question 10

    Asked once: 3 Feb 2022 Tier II

    54
    AB is a chord in the minor segment of a circle with centre O. C is a point on the minor arc (between A and B). The tangents to the circle at A and B meet at a point P. If ∠ACB=108∘\angle ACB = 108^\circ, then ∠APB\angle APB is equal to:

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