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Triangles

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 4 times: 15 Nov 2020 Tier II, 8 Aug 2022 Tier II, 3 Mar 2023 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 4 of this type

    20
    If the areas of two similar triangles are in the ratio 121:225121 : 225, what would be the ratio of the corresponding sides?

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  2. Question 2

    Asked 2 times: 8 Aug 2022 Tier II*, 6 Mar 2023 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    17
    The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is:

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  3. Question 3

    Asked 2 times: 15 Nov 2020 Tier II*, 8 Aug 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    68
    Triangle BAC is similar to triangle PQR. The area of triangle BAC and triangle PQR is 25 cm225\ \text{cm}^2 and 36 cm236\ \text{cm}^2 respectively. If BA =4 cm, then what is the length of PQ?

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  4. Question 4

    Asked 2 times: 29 Jan 2022 Tier II*, 3 Feb 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    94
    In △ABC\triangle ABC, AB = 48 cm, BC = 55 cm and AC = 73 cm. If O is the centroid of the triangle, then the length (in cm) of BO (correct to one decimal place) is:

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  5. Question 5

    Asked 2 times: 15 Nov 2020 Tier II*, 3 Feb 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    77
    In △PQR\triangle PQR, the bisector of ∠R\angle R meets side PQ at S, PR = 10 cm, RQ = 14 cm and PQ = 12 cm. What is the length of SQ?

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  6. Question 6

    Asked 2 times: 29 Jan 2022 Tier II*, 3 Feb 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    81
    In △ABC\triangle ABC, D is a point on BC such that ∠ADB=2∠DAC\angle ADB = 2\angle DAC, ∠BAC=70∘\angle BAC = 70^\circ and ∠B=56∘\angle B = 56^\circ. What is the measure of ∠ADC\angle ADC?

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  7. Question 7

    This type asked 2 times: 8 Aug 2022 Tier II, 6 Mar 2023 Tier II. This one: 8 Aug 2022 Tier II See all 2 of this type

    15
    ABC is an equilateral triangle. If the area of the triangle is 36336\sqrt{3} , then what is the radius of circle circumscribing the triangle ABC?

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  8. Question 8

    This type asked 2 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II. This one: 3 Feb 2022 Tier II See all 2 of this type

    96
    In △PQR\triangle PQR, PQ = PR and S is a point on QR such that ∠PSQ=96∘+∠QPS\angle PSQ = 96^\circ + \angle QPS and ∠QPR=132∘\angle QPR = 132^\circ. What is the measure of ∠PSR\angle PSR?

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  9. Question 9

    This type asked 2 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II. This one: 29 Jan 2022 Tier II See all 2 of this type

    65
    In ΔABC\Delta ABC, ∠B=78∘\angle B = 78^\circ, ADAD is a bisector of ∠A\angle A meeting BCBC at DD, and AE⊥BCAE \perp BC at EE. If ∠DAE=24∘\angle DAE = 24^\circ, then the measure of ∠ACB\angle ACB is:

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  10. Question 10

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

    92
    ABC is an equilateral triangle with side 12 cm. What is the length of the radius of the circle inscribed in it?

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