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Triangles

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

Top 10 SSC CGL 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 11 times: 18 Jul 2023 S2, 20 Jul 2023 S4, 21 Jul 2023 S2, 11 Sep 2024 S2, 12 Sep 2025 S2, 14 Sep 2025 S3, 15 Sep 2025 S1, 17 Sep 2025 S1, 17 Sep 2025 S3, 19 Sep 2025 S1, 24 Sep 2025 S3. This one: 24 Sep 2025 S3 See all 11 of this type

    61
    Two similar hexagons have their perimeters in the ratio 5:75:7. If the smaller hexagon has an area of 75 cm275 \text{ cm}^2, what is the area of the larger hexagon?

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  2. Question 2

    This type asked 7 times: 10 Sep 2024 S3, 11 Sep 2024 S2, 13 Sep 2024 S1, 18 Sep 2024 S1, 19 Sep 2024 S2, 24 Sep 2024 S1, 22 Sep 2025 S1. This one: 22 Sep 2025 S1 See all 7 of this type

    70
    Consider two triangles, △ABC\triangle ABC and △DEF\triangle DEF. It is stated that these two triangles are congruent to each other, which is denoted as △ABC≅△DEF\triangle ABC \cong \triangle DEF and ∠A=50∘\angle A = 50^\circ, what is the measure of ∠D\angle D?

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  3. Question 3

    This type asked 6 times: 9 Sep 2024 S2, 16 Sep 2025 S1, 19 Sep 2025 S1, 19 Sep 2025 S3, 21 Sep 2025 S2, 22 Sep 2025 S3. This one: 22 Sep 2025 S3 See all 6 of this type

    71
    Two triangles, △PQR\triangle PQR and △STU\triangle STU, have PQ=STPQ = ST, PR=SUPR = SU, and ∠QPR=∠TSU\angle QPR = \angle TSU. By what rule are they congruent?

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  4. Question 4

    This type asked 5 times: 17 Jul 2023 S1, 19 Jul 2023 S3, 10 Sep 2024 S2, 13 Sep 2024 S3, 20 Sep 2025 S1. This one: 20 Sep 2025 S1 See all 5 of this type

    70
    If △ABC∼△XYZ\triangle ABC \sim \triangle XYZ and AB=4 cm, BC=6 cm, XY=8 cm, what is the length of YZ?

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  5. Question 5

    This type asked 4 times: 26 Jul 2023 S1, 26 Sep 2024 S2, 26 Sep 2025 S1, 26 Sep 2025 S3. This one: 26 Sep 2025 S3 See all 4 of this type

    71
    If in triangle ABC, DE || BC and AD/DB=12\frac{1}{2}, and AE = 5 cm, then EC is:

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  6. Question 6

    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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  7. Question 7

    This type asked 4 times: 18 Jul 2023 S3, 20 Jul 2023 S4, 24 Jul 2023 S4, 15 Sep 2025 S1. This one: 15 Sep 2025 S1 See all 4 of this type

    70
    In △ABC\triangle ABC, a line segment DE is parallel to BC, with D on AB and E on AC. If the ratio of the area of △ADE\triangle ADE to the area of the trapezoid DECB is 4:21, what is the ratio of AD to DB?

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  8. Question 8

    This type asked 4 times: 25 Jul 2023 S2, 12 Sep 2024 S1, 24 Sep 2024 S3, 26 Sep 2024 S1. This one: 26 Sep 2024 S1 See all 4 of this type

    69
    If the angles of a triangle are in the ratio 7:8:37 : 8 : 3, then the value of the largest angle is:

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  9. Question 9

    This type asked 4 times: 17 Jul 2023 S2, 20 Jul 2023 S3, 17 Sep 2024 S3, 25 Sep 2024 S1. This one: 25 Sep 2024 S1 See all 4 of this type

    73
    If the lengths of two sides of an isosceles triangle are 6 cm and 12 cm, then find the length of the third side.

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  10. Question 10

    Asked 3 times: 13 Sep 2024 S1*, 18 Sep 2024 S1*, 19 Sep 2024 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    54
    ΔABC\Delta ABC and ΔDEF\Delta DEF are two triangles such that ΔABC≅ΔFDE\Delta ABC \cong \Delta FDE. If AB=17 cm, ∠B=52∘\angle B = 52^\circ and ∠A=95∘\angle A = 95^\circ, then which of the following options is true?

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